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Analytical Ability

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Analytical Ability

PrepBank · পাতা ৩ / ৭ · ২০১–৩০০ / ৬৫৯

২০১.
A watch is 1 minute slow at 1 pm on Tuesday and 2 minutes fast at 1 pm on Thursday. When did it show the correct time = ?
  1. ক
    5 : 00 pm on Wednesday
  2. খ
    5 : 00 am on Wednesday
  3. গ
    1 : 00 pm on Wednesday
  4. ঘ
    1 : 00 am on Wednesday
ব্যাখ্যা
Question: A watch is 1 minute slow at 1 pm on Tuesday and 2 minutes fast at 1 pm on Thursday. When did it show the correct time = ?

Solution: 
৩ মিনিট পরিবর্তন হয় ২ × ২৪ ×৬০ মিনিটে 
১ মিনিট পরিবর্তন হয় (২ × ২৪ ×৬০)/৩ মিনিটে = (২ × ২৪ ×৬০)/৩ × ৬০ ঘণ্টায় 
= ১৬ ঘণ্টায় 

অতএব, ঘড়িটি সঠিক সময় দিবে বুধবার ভোর ৫ টায়। 
২০২.
Yesterday was Powel's birthday. His father brought a cake for their family, Powel took 1/2 of the cake and had 3 times as much as each of the other family members had. The total number of family member is-
  1. ক
    4
  2. খ
    5
  3. গ
    6
  4. ঘ
    3
ব্যাখ্যা
Question: Yesterday was Powel's birthday. His father brought a cake for their family, Powel took 1/2 of the cake and had 3 times as much as each of the other family members had. The total number of family member is-

Solution: 
Let the total number of the family member excluding Powel be 'x' and the amount of cake be 100 units

Share of cake taken by Powel = 100 × 1/2 = 50 units
Remaining share of cake taken by family member = (100 - 50)/x  = 50/x
Now
50 = 3 × 50/x
⇒ 50x = 3 × 50 
⇒ x = 3

∴ Total number of the family members including Powel = 3 + 1 = 4
২০৩.
What is the angle between the hour and minute hand of a clock when it is 4 : 40 pm?
  1. ক
    120°
  2. খ
    100°
  3. গ
    150°
  4. ঘ
    80°
ব্যাখ্যা

Question: What is the angle between the hour and minute hand of a clock when it is 4 : 40 pm?

সমাধান:
4টা 40 মিনিট = 4 + (40/60) ঘন্টা
= 4 + 2/3 = 14/3 ঘন্টা

আমরা জানি,
ঘণ্টার কাঁটা 12 ঘণ্টায় 360° ঘোরে।
∴ 1 ঘণ্টায় ঘোরে = 360°/12 = 30°
∴ 14/3 ঘণ্টায় ঘোরে = (30° × 14)/3
= 140°

আবার,
মিনিটের কাঁটা 60 মিনিটে 360° ঘোরে।
∴ 1 মিনিটে ঘোরে = 360°/60 = 6°
∴ 40 মিনিটে ঘোরে = 40 × 6° = 240°

ঘড়ির কাঁটা দুটির মধ্যবর্তী কোণ = |240° - 140°| = 100°

২০৪.
In a code FLOWER is written as EMPXER, GARDEN is written as FBSEEN, then how can PLANET be written in the same code?
  1. ক
    QMBOFS
  2. খ
    OMBOET
  3. গ
    NNAODU
  4. ঘ
    PNCPFS
ব্যাখ্যা
Question: In a code FLOWER is written as EMPXER, GARDEN is written as FBSEEN, then how can PLANET be written in the same code?

Solution:

Given,
F         L          O          W          E        R
↓(- 1)  ↓(+ 1)   ↓(+ 1)   ↓(+ 1)    ↓(0)    ↓(0)
E        M         P           X           E        R

G         A          R          D         E        N
↓(- 1)   ↓(+ 1)   ↓(+ 1)   ↓(+ 1)  ↓(0)    ↓(0)
F         B           S          E          E        N

Similarly,
P          L          A          N         E        T
↓(- 1)   ↓(+ 1)   ↓(+ 1)   ↓(+ 1)  ↓(0)    ↓(0)
O         M         B          O         E        T
২০৫.
If the day before yesterday was Thursday, when will Sunday be?
  1. ক
    Day after tomorrow
  2. খ
    Tomorrow
  3. গ
    Two days after today
  4. ঘ
    Today
  5. ঙ
    None of these
ব্যাখ্যা

Question: If the day before yesterday was Thursday, when will Sunday be?

Solution:
Day before yesterday = Thursday
Yesterday = Friday
Today = Saturday
Tomorrow = Sunday

Therefore, Sunday will be tomorrow.

২০৬.
Robin is 28th from left end of a row of 50 students and Siam is 27th from right end of the row. How many students are sitting between them?
  1. ক
    5
  2. খ
    4
  3. গ
    3
  4. ঘ
    2
  5. ঙ
    1
ব্যাখ্যা

Question: Robin is 28th from left end of a row of 50 students and Siam is 27th from right end of the row. How many students are sitting between them?

Solution:



Siam's position from left = 50 - 27 + 1 = 24

So,
Robin's position from left = 28
Siam's position from left = 24

∴ Number of students are sitting between them = (28 - 24) - 1 
= 4 - 1
= 3

২০৭.
Find the number which replaces the question mark.
  1. ক
    ক) 6
  2. খ
    খ) 4
  3. গ
    গ) 8
  4. ঘ
    ঘ) 10
ব্যাখ্যা
Question: Find the number which replaces the question mark.

Solution:

∴ Correct answer 6.
২০৮.
If HCRAES is code SEARCH, which word has the code LATIPAC?
  1. ক
    CONFIND
  2. খ
    CAPITAL
  3. গ
    CONFLIC
  4. ঘ
    CONCERN
ব্যাখ্যা
Question: If HCRAES is code SEARCH, which word has the code LATIPAC?

Solution:
Reversed HCRAES = SEARCH

So the code is just the reverse of the given word

Let’s reverse LATIPAC → CAPITAL
২০৯.
How many degrees are between the hands of a clock at 3:30?
  1. ক
    105°
  2. খ
    90°
  3. গ
    75°
  4. ঘ
    70°
ব্যাখ্যা

Question: How many degrees are between the hands of a clock at  3:30?
Solution:
Value of angle = {(11 × 30) - (60 × 3)}/2
= (330 - 180)/2
= 150/2
= 75°

২১০.
If ‘A’ stands for ‘÷’, ‘B’ stands for ‘+’, ‘C’ stands for ‘×’ and ‘D’ stands for ‘-’, then what will come in place of the question mark (?) 
7 C 11 B 12 A 6 D 18 = ?
  1. ক
    61
  2. খ
    76
  3. গ
    82
  4. ঘ
    53
  5. ঙ
    None
ব্যাখ্যা

Question: If ‘A’ stands for ‘÷’, ‘B’ stands for ‘+’, ‘C’ stands for ‘×’ and ‘D’ stands for ‘-’, then what will come in place of the question mark (?) 
7 C 11 B 12 A 6 D 18 = ?

Solution: 
দেওয়া আছে 
A = ÷
B = +
C = × এবং 
D = -

প্রদত্ত শর্ত অনুসারে পাই 
7 C 11 B 12 A 6 D 18 = 7 × 11 + 12 ÷ 6 - 18
= 7 × 11 + 2 - 18
= 77 + 2 - 18
= 79 - 18
= 61

২১১.
A man starts from a point and travels 12 km in the north direction. Again he went east for 6 km and changed direction and again went north for 8 km. Finally went west for 6 km. What is the direct distance between his destination and journey?
  1. ক
    14 km
  2. খ
    16 km
  3. গ
    18 km
  4. ঘ
    20 km
ব্যাখ্যা
Question: A man starts from a point and travels 12 km in the north direction. Again he went east for 6 km and changed direction and again went north for 8 km. Finally went west for 6 km. What is the direct distance between his destination and journey?

Solution:

ঐ ব্যক্তির যাত্রাস্থান A এবং গন্তব্য স্থান = E
∴ তার গন্তব্য স্থান ও যাত্রা স্থানের সরাসরি দূরত্ব, AE = (12 + 8) কি.মি.
= 20 কি.মি.
২১২.
Find out the wrong number in the series:
455, 445, 465, 435, 485, 415, 515, 455
  1. ক
    455
  2. খ
    465
  3. গ
    485
  4. ঘ
    415
ব্যাখ্যা
Question: Find out the wrong number in the series:
455, 445, 465, 435, 485, 415, 515, 455

Solution:
The given series is made of two different series:

First: 455, 465, 485, 515, and

Second: 445, 435, 415, 455

The sequence in first series is + 10, + 20, + 30, and
The sequence in second series: - 10, - 20. So, the number 455 is wrong as it should be 415 - 30 = 385
২১৩.
8, 11, 17, 29, 53, 101,....... what number should come next?
  1. ক
    207
  2. খ
    197
  3. গ
    177
  4. ঘ
    217
ব্যাখ্যা
Question: 8, 11, 17, 29, 53, 101,....... what number should come next?

Solution:
Given series,
8, 11, 17, 29, 53, 101......

8 
8 + 3 = 11
11 + 6 = 17
17 + 12 = 29
29 + 24 = 53
53 + 48 = 101

∴ next number = 101 + 96 = 197
২১৪.
It was Sunday on January 1, 2012. What was the day of the week on January 1, 2013?
  1. ক
    Monday
  2. খ
    Tuesday
  3. গ
    Wednesday
  4. ঘ
    Thursday 
ব্যাখ্যা

Question: It was Sunday on January 1, 2012. What was the day of the week on January 1, 2013?

Solution:
2012 সাল একটি লিপ ইয়ার (Leap Year), কারণ 2012 ÷ 4 = 503 (অতএব 4 দ্বারা বিভাজ্য)।

লিপ ইয়ারে মোট দিন = 366 দিন
আমরা জানি, 366 = 52 সপ্তাহ + 2 দিন

অর্থাৎ পরের বছরের একই তারিখে দিন 2 দিন এগিয়ে যাবে।

দেওয়া আছে, 1 Jan 2012 = Sunday
∴ 1 Jan 2013 = Sunday + 2 দিন = Tuesday

সঠিক উত্তর: খ) Tuesday

২১৫.
The day on 5th April of a year will be the same day on 5th of which month of the same year?
  1. ক
    5th October
  2. খ
    5th June
  3. গ
    5th August
  4. ঘ
    5th July
ব্যাখ্যা
Question: The day on 5th April of a year will be the same day on 5th of which month of the same year?

Solution:
April & July for all years have the same calendar. So, a day on any date of April will be the same day on the corresponding date in July.

∴ The same day will fall on 5th July of the same year.
২১৬.
Today is Thursday. After 44 days, it will be-
  1. ক
    Saturday
  2. খ
    Monday
  3. গ
    Sunday
  4. ঘ
    Thursday
ব্যাখ্যা

Question: Today is Thursday. After 44 days, it will be-

Solution:
We know that each day of the week is repeated after 7 days.

44 ÷ 7 = 6 (remainder 2)

So, after (7 × 6) = 42 days it will be Thursday.
∴ after 44 days it will be (Thursday + 2 days) = Saturday

২১৭.
If 10 students run a mile in 10 minutes, how much time will 50 students take to run a mile?
  1. ক
    5 minutes
  2. খ
    10 minutes
  3. গ
    50 minutes
  4. ঘ
    500 minutes
ব্যাখ্যা
Question: If 10 students run a mile in 10 minutes, how much time will 50 students take to run a mile?

Solution:
এখানে দূরত্ব মুখ্য। যেহেতু দূরত্ব দুই ক্ষেত্রেই একই, তবে সময়ও একই লাগবে। 

১০ জন ছাত্রের এক মাইল যেতে সময় লাগে ১০ মিনিট।
১ জনেরও এক মাইল যেতে সময় লাগে ১০ মিনিট।
৫০ জনেরও এক মাইল যেতে সময় লাগে ১০ মিনিট।
২১৮.
What is the angle between the hour and minute hands of a clock when it is 3:15 pm?
  1. ক
    0°
  2. খ
    7.5°
  3. গ
    6.5°
  4. ঘ
    5°
  5. ঙ
    10°
ব্যাখ্যা

Question: What is the angle between the hour and minute hands of a clock when it is 3:15 pm?

Solution:
3টা 15 মিনিট = 3 + (15/60) ঘন্টা = 3 + 1/4 = 13/4 ঘন্টা

আমরা জানি, ঘণ্টার কাঁটা 12 ঘণ্টায় 360° ঘোরে।
∴ 1 ঘণ্টায় ঘোরে = 360°/12 = 30°
∴ 13/4 ঘণ্টায় ঘোরে = (30° × 13)/4
= 390°/4
= 97.5°

আবার, মিনিটের কাঁটা 60 মিনিটে 360° ঘোরে।
∴ 1 মিনিটে ঘোরে = 360°/60 = 6°
∴ 15 মিনিটে ঘোরে = 15 × 6° = 90°

∴ ঘড়ির কাঁটা দুটির মধ্যবর্তী কোণ = |97.5° - 90°|
= 7.5°

২১৯.
If X and Y are prime numbers then which of the following cannot be the sum of X and Y?
  1. ক
    ক) 5
  2. খ
    খ) 10
  3. গ
    গ) 23
  4. ঘ
    ঘ) 26
ব্যাখ্যা
Question: If X and Y are prime numbers then which of the following cannot be the sum of X and Y?

Solution:
The prime numbers which are less than 23 ⇒ 2, 3, 5, 7, 11, 13, 17, 19

Now,
5 = 2 + 3 
10 = 3 + 7 
26 = 7 + 19 

But we can not write 23 as sum of two different prime numbers.
২২০.
When you looked at a clock, it was showing 6 : 00 in the morning. By how much angle will the hour’s hand rotate when you again look at the clock at 12 : 00 in the noon?
  1. ক
    120°
  2. খ
    180°
  3. গ
    150°
  4. ঘ
    110°
ব্যাখ্যা
Question: When you looked at a clock, it was showing 6 : 00 in the morning. By how much angle will the hour’s hand rotate when you again look at the clock at 12 : 00 in the noon?

Solution:
In 12 hours, the hour’s hand turns 360°

Hence, the difference between time 12 : 00 - 6 : 00 = 6 hours

Therefore, the required angle = (360°/12) × 6 = 180°
২২১.
If CAFE = FACE, then TALE = ?
  1. ক
    TAEL
  2. খ
    LTEA
  3. গ
    LATE
  4. ঘ
    ELAT
ব্যাখ্যা
Question: If CAFE = FACE, then TALE = ?

Solution:
এখানে,
CAFE = FACE এর C আর F পরস্পরের স্থান পরিবর্তন করেছে, A আর E এর কোনো পরিবর্তন হয়নি।

একইভাবে,
TALE শব্দের A আর E এর কোনো পরিবর্তন হবে না, T আর L পরস্পরের স্থান পরিবর্তন করবে।
∴ TALE = LATE
২২২.
If HEAD = 18 then HAIR =?
  1. ক
    ক) 9
  2. খ
    খ) 18
  3. গ
    গ) 32
  4. ঘ
    ঘ) 36
ব্যাখ্যা
Question: If HEAD = 18 then HAIR =?

Solution:

HEAD
H + E + A + D 
8 + 5 + 1 + 4
= 18
Now,
H + A + I + R
8 + 1 + 9 + 18
= 36
∴ HAIR = 36
২২৩.
What will be the number in the question mark?
2, 5, 11, 20, 32, ?
  1. ক
    44
  2. খ
    47
  3. গ
    50
  4. ঘ
    55
ব্যাখ্যা

Question: What will be the number in the question mark?
2, 5, 11, 20, 32, ?

Solution:
প্রদত্ত ধারাটি হলো: 2, 5, 11, 20, 32, ?
ধারার সংখ্যাগুলোর মধ্যে পার্থক্য নির্ণয় করি:
5 - 2 = 3
11 - 5 = 6
20 - 11 = 9
32 - 20 = 12

এখানে, প্রতিবার পার্থক্য 3 করে বৃদ্ধি পাচ্ছে।
∴ পরবর্তী পার্থক্য হবে = 12 + 3 = 15
∴ পরবর্তী সংখ্যাটি হবে = 32 + 15 = 47
অতএব, প্রশ্নবোধক স্থানে 47 বসবে।

Shortcut: 2 (+3)→ 5 (+6)→ 11 (+9)→ 20 (+12)→ 32 (+15) → 47.

২২৪.
What image will go in the question mark?
  1. ক
    A
  2. খ
    B
  3. গ
    C
  4. ঘ
    D
ব্যাখ্যা
Question: What image will go in the question mark?


Solution:
1st image + 2nd image ⇒ 3rd image
২২৫.
What is the angle between the hour and minute hands of a clock when it is 20 minutes past 9?
  1. ক
    120°
  2. খ
    150°
  3. গ
    160°
  4. ঘ
    180°
ব্যাখ্যা

Question: What is the angle between the hour and minute hands of a clock when it is 20 minutes past 9?

Solution:
20 minutes past 9 অর্থাৎ, 9টা 20 মিনিট।
= 9 + (20/60) ঘন্টা
= 9 + 1/3
= 28/3 ঘন্টা

আমরা জানি,
ঘণ্টার কাঁটা 12 ঘণ্টায় 360° ঘোরে।
∴ 1 ঘণ্টায় ঘোরে = 360°/12 = 30°
∴ 28/3 ঘন্টায় ঘোরে = (30° × 28)/3 = 280°

আবার,
মিনিটের কাঁটা 60 মিনিটে 360° ঘোরে।
∴ 1 মিনিটে ঘোরে = 360°/60 = 6°
∴ 20 মিনিটে ঘোরে = 20 × 6° = 120°

∴ ঘড়ির কাঁটা দুটির মধ্যবর্তী কোণ = | 280° - 120° | = 160°

২২৬.
Which would be third in alphabetical order?
  1. ক
    Mausoleum
  2. খ
    Mauve
  3. গ
    Maundy
  4. ঘ
    Mane
ব্যাখ্যা
Mausoleum, Mauve, Maundy, Mane

এখানে,
Mane হবে ১ম 
বাকি তিনটির (Mausoleum, Mauve, Maundy) শুরুতে  Mau আছে, তার পর আছে যথাক্রমে  s, v, n.
যাদের মধ্যে আগে আসে n, তারপর s, তারপর v.
সুতরাং 
Maundy হবে ২য়
Mausoleum হবে ৩য় 
Mauve হবে ৪র্থ 
২২৭.
A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:
  1. ক
    148°
  2. খ
    152°
  3. গ
    155°
  4. ঘ
    163°
ব্যাখ্যা
Question: A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:

Solution:
Angle traced by hour hand in 12 hrs = 360∘
Angle traced by hour hand in = 5 hrs 10 minute
= (31/6)hours
= {(360/12) × (31/6)}°
= 155°
২২৮.
Mary is 16 years old. She is 4 times older than her brother. How old will Mary be when she is twice his age?
  1. ক
    That's impossible
  2. খ
    20
  3. গ
    24
  4. ঘ
    28
ব্যাখ্যা
Question: Mary is 16 years old. She is 4 times older than her brother. How old will Mary be when she is twice his age?

Solution:
Mary is 16 years old
She is 4 times older than her brother
∴ Age of her brother 16/4 = 4 years

Let after x years she will twice his age
∴ 16 + x = 2(4 + x)
⇒ 16 + x = 8 + 2x
⇒ x = 8

After 8 years she will twice his age
∴ Her age will be 16 + 8 = 24 years
২২৯.
Which number replaces the question mark?
  1. ক
    45
  2. খ
    18
  3. গ
    25
  4. ঘ
    54
ব্যাখ্যা

Question: Which number replaces the question mark?


Solution:
এখানে,
বাম হাতের উপাদানগুলোর পার্থক্য × ডান হাতের উপাদানগুলোর পার্থক্য = উপরের সংখ্যা।

অতএব, ১ম চিত্রে,
(14 - 9) × (13 - 7) = 5 × 6 = 30

২য় চিত্রে,
(12 - 9) × (17 - 11) = 3 × 6 = 18

∴ প্রশ্নবোধক স্থানে সংখ্যাটি হবে 18

২৩০.
Train : Track-
  1. ক
    ক) Water : Boat
  2. খ
    খ) Bullet : Barrel
  3. গ
    গ) Idea : Brain
  4. ঘ
    ঘ) Fame : Television
ব্যাখ্যা
As Train is guided by the track similarly Bullet is guided by the barrel.
২৩১.
The clock showed 10 : 30 in the mirror. What is the actual time?
  1. ক
    2 : 30
  2. খ
    1 : 30
  3. গ
    3 : 30 
  4. ঘ
    4 : 30 
ব্যাখ্যা

Question: The clock showed 10 : 30 in the mirror. What is the actual time?

Solution:
আমরা জানি,
প্রকৃতপক্ষে সময়
= 11 : 60 - আয়নায় দেখা সময়
= 11 : 60 - 10 : 30
= 1 : 30

২৩২.
Parrot : Cage : : Man : ?
  1. ক
    ক) Home
  2. খ
    খ) Motor Car
  3. গ
    গ) Prison
  4. ঘ
    ঘ) Forest
ব্যাখ্যা
Parrot is kept into Cage. Similarly Man is kept into Prison after trial
২৩৩.
If LATER = 13579 and CHAIR = 20349, then CHEAT = ?
  1. ক
    20735
  2. খ
    20375
  3. গ
    20753
  4. ঘ
    20345
ব্যাখ্যা

Question: If LATER = 13579 and CHAIR = 20349, then CHEAT = ?

Solution:
Given that,
L    A   T   E    R
↓    ↓   ↓    ↓    ↓
1    3   5   7    9

and
C   H   A   I    R
↓    ↓   ↓    ↓    ↓
2   0    3   4    9

So
C   H   E    A   T
↓    ↓   ↓    ↓    ↓
2   0    7   3    5

২৩৪.
Which number replace the question mark?
  1. ক
    44
  2. খ
    48
  3. গ
    54
  4. ঘ
    64
ব্যাখ্যা
Question: Which number replace the question mark?

Solution:
In the first figure
(12 + 18 + 30) ÷ 2 = 30

In the second figure
(16 + 32 + 40) ÷ 2 = 44

Therefore, the third figure
(36 + 18 + 34) ÷ 2 = 44
২৩৫.
Which number will complete the series:
1, 3, 7, 15, 31, 63, 127, __?
  1. ক
    259
  2. খ
    245
  3. গ
    255
  4. ঘ
    252
ব্যাখ্যা
Question: Which number will complete the series:
1, 3, 7, 15, 31, 63, 127, __?

Solution:
3 - 1 = 2
7 - 3 = 4 = 2 × 2
15 - 7 = 8 = 4 × 2
31 - 15 = 16 = 8 × 2
63 - 31 = 32 = 16 × 2
127 - 63 = 64 = 32 × 2

∴ The next number of 127 will be 127 + 64 × 2
= 127 + 128
= 255
২৩৬.
Select the odd one.
  1. ক
    ক)
  2. খ
    খ)
  3. গ
    গ)
  4. ঘ
    ঘ)
ব্যাখ্যা
Question: Select the odd one.

Solution: 
১ম চিত্রে, বাইরের ক্ষেত্রটি সীমাবদ্ধ নয়, ভেতরের ক্ষেত্রটি সীমাবদ্ধ (চতুর্ভুজ)।
২য় চিত্রে, বাইরের ক্ষেত্রটি সীমাবদ্ধ (ত্রিভুজ), ভেতরের ক্ষেত্রটি সীমাবদ্ধ নয়।
৩য় চিত্রে, বাইরের ক্ষেত্রটি সীমাবদ্ধ নয়, ভেতরের ক্ষেত্রটি সীমাবদ্ধ (চতুর্ভুজ)।

অতএব, তিনটি চিত্রেই একটি সীমাবদ্ধ ক্ষেত্র ও আরেকটি সীমাবদ্ধ নয়। 
৪র্থ চিত্রে, দুটো ক্ষেত্রই সীমাবদ্ধ। তাই এতি অন্যগুলো থেকে ভিন্ন। 
২৩৭.
What number should come next in the series: 
3, 7, 15, 31, 63, .......?
  1. ক
    121
  2. খ
    95
  3. গ
    127
  4. ঘ
    135
ব্যাখ্যা

Question: What number should come next in the series:
3, 7, 15, 31, 63, .......?

Solution: দেওয়া আছে,
সিরিজটি হলো: 3, 7, 15, 31, 63, .......

প্রতিটি পার্থক্য আগের পার্থক্যের 2 গুণ।

3 থেকে 7 পর্যন্ত পার্থক্য: 4
7 থেকে 15 পর্যন্ত পার্থক্য: 8 (4 × 2)
15 থেকে 31 পর্যন্ত পার্থক্য: 16 (8 × 2)
31 থেকে 63 পর্যন্ত পার্থক্য: 32 (16 × 2)
সুতরাং, পরবর্তী পার্থক্যটি হবে: 32 × 2 = 64

পরবর্তী সংখ্যাটি হবে শেষ সংখ্যা এবং এই পার্থক্যের যোগফল: 63 + 64 = 127

অতএব, পরবর্তী সংখ্যাটি হলো 127

২৩৮.
If M = 14, TANK = 62, then STARDOM =?
  1. ক
    79
  2. খ
    89
  3. গ
    99
  4. ঘ
    109
ব্যাখ্যা
Question: If M = 14, TANK = 62, then STARDOM =?

Solution:

M = 14
TANK = 7 + 26 + 13 + 16 = 62
STARDOM = 8 + 7 + 26 + 9 + 23 + 12 + 14 = 99
২৩৯.
Which number replaces the question mark?
  1. ক
    ক) 4
  2. খ
    খ) 7
  3. গ
    গ) 9
  4. ঘ
    ঘ) 10
ব্যাখ্যা
Question: Which number replaces the question mark?


Solution: 
১ম চিত্রে,
(4 × 4) - (5 × 3)
= 16 - 15
= 1

২য় চিত্রে, 
(6 × 8) - (6 × 7) 
= 48 - 42 
= 6

৩য় চিত্রে, 
(5 × 8) - (5 × 6) 
= 40 - 30 
= 10
২৪০.
Select an appropriate term that completes the series K o E, M p F, O q G, Q r H, _____.
  1. ক
    S s I
  2. খ
    T t J
  3. গ
    R s I
  4. ঘ
    S s J
ব্যাখ্যা
Question: Select an appropriate term that completes the series K o E, M p F, O q G, Q r H, _____.

Solution:
প্রথম অক্ষর এর ক্ষেত্রে,
K এর পর L নেই,
M এর পর N নেই,
O এর পরে P নেই,
তাহলে অবশ্যই Q এর পরে R না হয়ে S হবে,

দ্বিতীয় অক্ষরের জন্য 
o, p, q, r, তারপর অবশ্যই s হবে।

তৃতীয় অক্ষরের জন্য
E, F, G, H, এর পর অবশ্যই I হবে।

তাহলে খালি ঘরে অবশ্যই S s I
২৪১.
A clock is started at noon. By 20 minutes past 4, through how many degrees has the hour hand turned?
  1. ক
    150°
  2. খ
    130 °
  3. গ
    120°
  4. ঘ
    160°
  5. ঙ
    110°
ব্যাখ্যা

Question: A clock is started at noon. By 20 minutes past 4, through how many degrees has the hour hand turned?

From noon (12.00 pm) to 4 pm = 4 hours
and 20 minutes = 20/60 hours = 1/3 hours

Total time = (4 + 1/3) = 13/3 hours

We know,
Angle traced by hour hand in 12 hours =  360°

∴ Angle in 13/3 hours,
= (360/12) × (13/3)
= 130°

২৪২.
One rabbit saw 6 elephants while going towards River. Every elephant saw 2 monkeys are going towards river. Every monkey holds one tortoise in their hands. How many animals are going towards the river?
  1. ক
    14
  2. খ
    11
  3. গ
    5
  4. ঘ
    8
ব্যাখ্যা
Question: One rabbit saw 6 elephants while going towards River. Every elephant saw 2 monkeys are going towards river. Every monkey holds one tortoise in their hands. How many animals are going towards the river?

Solution:
From the given data,
1 rabbit is going towards river not the six elephants. And these 6 elephants saw 2 monkeys are going towards river. Each monkey is holding 1 tortoise.

Hence, number of animals going towards river are 1 rabbit, 2 monkeys and 2 tortoice
= 1 + 2 + 2
= 5.
 
২৪৩.
If 6th March, 2005 is Sunday, what was the day of the week on 6th March, 2004?
  1. ক
    Friday
  2. খ
    Thursday
  3. গ
    Sunday
  4. ঘ
    Saturday
ব্যাখ্যা
Question: If 6th March, 2005 is Sunday, what was the day of the week on 6th March, 2004?

Solution:
Since 6th March coming after February. Leap year will not count for 2004.
∴ There number of odd day is 1.

So it had to be Saturday, which was one day before Sunday 
২৪৪.
A clock loses (falls behind) 10 minutes each day. How many days will take to reach a point where the clock will indicate the correct time?
  1. ক
    ক) 36
  2. খ
    খ) 72
  3. গ
    গ) 120
  4. ঘ
    ঘ) None
ব্যাখ্যা
Question: A clock loses (falls behind) 10 minutes each day. How many days will take to reach a point where the clock will indicate the correct time?

Solution: 
[ঘড়ি সময় হারালে অর্থাৎ ঘড়িটি প্রতি ঘণ্টায় স্বাভাবিক সময় থেকে পিছিয়ে গেলে পুনরায় সঠিক সময় দেওয়ার জন্য ১২ ঘণ্টা হয়ে যেতে হবে। কারণ একটি ঘড়িতে একবার সম্পূর্ণ ঘুরে আসার জন্য মোট ১২ ঘণ্টা ঘুরতে হবে।]

১২ ঘন্টা = ১২ × ৬০ মিনিট 
= ৭২০ মিনিট 

১০ মিনিট পিছিয়ে পড়ে ১ দিনে
১ মিনিট পিছিয়ে পড়ে ১/১০ দিনে 
৭২০ মিনিট পিছিয়ে পড়ে = ৭২০/১০ দিনে
= ৭২ দিনে
২৪৫.
If all Bloops are Razzies and all Razzies are Lazzies, then ___.
  1. ক
    All Bloops are definitely Lazzies.
  2. খ
    Some Bloops are Lazzies.
  3. গ
    No Lazzies are Bloops.
  4. ঘ
    Some Razzies are not Lazzies.
ব্যাখ্যা
Question: If all Bloops are Razzies and all Razzies are Lazzies, then ___.

Solution:
From the information we get,

∴ All Bloops are definitely Lazzies.
২৪৬.
Today is Monday. After 59 days, it will be-
  1. ক
    Monday
  2. খ
    Friday
  3. গ
    Wednesday
  4. ঘ
    Thursday
ব্যাখ্যা

Question: Today is Monday. After 59 days, it will be-

Solution:
We know that each day of the week is repeated after 7 days.

59 ÷ 7 = 8 (remainder 3)

So, after (7 × 8) = 56 days, it will be Monday.
∴ After 59 days, it will be (Monday + 3 days) = Thursday

২৪৭.
What will come at the place of the question mark?
4, 8, 10, 14, 16, 20,?
  1. ক
    22
  2. খ
    24
  3. গ
    26
  4. ঘ
    28
ব্যাখ্যা
Question: What will come at the place of the question mark?
4, 8, 10, 14, 16, 20,?

Solution: 
The above series contains two sub-series in it.
4, 10, 16, 22
8, 14, 20
For each of both terms, there is a difference of 6. The next term is 6 greater than the previous term.
২৪৮.
Scales : Fish-
  1. ক
    ক) Bear : Fur
  2. খ
    খ) Woman : Dress
  3. গ
    গ) Skin : Man
  4. ঘ
    ঘ) Tree : Leaves
ব্যাখ্যা
As scales from an outer layer of fish similarly skin form an outer layer of man.
২৪৯.
What is the maximum number of different crops that can be planted together in field 3?
  1. ক
    ক) 1
  2. খ
    খ) 2
  3. গ
    গ) 3
  4. ঘ
    ঘ) 4
ব্যাখ্যা
Question: What is the maximum number of different crops that can be planted together in field 3?

Solution: 
ফিল্ড ৩ এ উৎপাদন করা যায় F, G, H, I
কিন্তু, F ও G এক সাথে উৎপাদন করা যায় না। কারণ, F উৎপাদন করতে X সার দিতে হবে অনুদিকে G উৎপাদন করতে X সার ব্যবহার করা যাবে না। 
অতএব, FHI বা, GHI এক্ষেত্রে একসাথে উৎপাদন করা যাবে। 
২৫০.
Play : Actor :: Concert : ?
  1. ক
    Symphony
  2. খ
    Musician
  3. গ
    Audience
  4. ঘ
    Ticket
ব্যাখ্যা

Question: Play : Actor :: Concert : ?

Solution:
সঠিক উত্তর: খ) Musician

- Play (নাটক) এর মূল ব্যক্তি বা পারফর্মার হলো Actor (যে অভিনয় করে)
- ঠিক একইভাবে Concert (সঙ্গীতানুষ্ঠান) এর মূল ব্যক্তি বা পারফর্মার হলো Musician (যে সঙ্গীত পরিবেশন করে)

অতএব, Play : Actor :: Concert : Musician

২৫১.
If the word PSYCHOLOGY is viewed in a mirror, what will be its reflected image?
    ব্যাখ্যা

    Question: If the word PSYCHOLOGY is viewed in a mirror, what will be its reflected image?

    Solution: 
    PSYCHOLOGY -এর আয়নায় প্রতিফলিত রূপটি হবে:

    ২৫২.
    What is the value of,

    1. ক
      4
    2. খ
      16
    3. গ
      √10
    4. ঘ
      √6
    ব্যাখ্যা
    Question: What is the value of,



    Solution:


    ২৫৩.
    Find the next number in the series.
    31, 42, 55, 72, 91, ?
    1. ক
      120
    2. খ
      114
    3. গ
      116
    4. ঘ
      None of the above
    ব্যাখ্যা
    Question: Find the next number in the series.
    31, 42, 55, 72, 91, ?

    Solution:

    ∴ Correct Answer 114
    ২৫৪.
    One morning after sunrise, Sakib was standing facing a pole. The shadow of the pole fell exactly to his left. Which direction was Sakib facing?
    1. ক
      East
    2. খ
      West
    3. গ
      North
    4. ঘ
      South
    ব্যাখ্যা

    Question: One morning after sunrise, Sakib was standing facing a pole. The shadow of the pole fell exactly to his left. Which direction was Sakib facing?

    Solution:
    1. In the morning, the sun is in the east, so all shadows fall toward the west.
    2. If the shadow (west) is to Sakib's left, he must be facing north.If he were facing south, the shadow would be to his right

    ২৫৫.
    A worker earns Tk. 250 on the first day and spends Tk. 200 on the second day, earns Tk. 250 on the third day and again spends Tk. 200 on the fourth day and so on. On which day would he have had Tk. 1000?
    1. ক
      20th day
    2. খ
      30th day
    3. গ
      31th day
    4. ঘ
      40th day
    ব্যাখ্যা
    Question: A worker earns Tk. 250 on the first day and spends Tk. 200 on the second day, earns Tk. 250 on the third day and again spends Tk. 200 on the fourth day and so on. On which day would he have had Tk. 1000?

    Solution:
    ১ম দিনে আয় করে ২৫০ টাকা।
    ২য় দিনে ব্যয় করে ২০০ টাকা।

    ∴ ২ দিনে তার জমা থাকে (২৫০ - ২০০) = ৫০ টাকা।

    এখন, (১০০০ - ২৫০) = ৭৫০ টাকা।

    ৫০ টাকা জমা থাকে ২ দিনে
    ১ টাকা জমা থাকে ২/৫০ দিনে
    ৭৫০  টাকা জমা থাকে (২ × ৭৫০)/৫০ দিনে
    = ৩০ দিন।

    ৩০ দিন পর তার হাতে থাকে ৭৫০ টাকা
    এবং ৩১ তম দিনে সে আয় করে ২৫০ টাকা।
    তাহলে মোট টাকা হয় (৭৫০ + ২৫০) = ১০০০ টাকা,

    সুতরাং ৩১ দিনে তার কাছে ১০০০ টাকা ছিল।
    ২৫৬.
    A team has 5 students named A, B, C, D, and E. A is taller than B; C is shorter than E; A is shorter than D; If B is taller than E, which student is the shortest?
    1. ক
      E
    2. খ
      B
    3. গ
      A
    4. ঘ
      C
    ব্যাখ্যা
    Question: A team has 5 students named A, B, C, D, and E. A is taller than B; C is shorter than E; A is shorter than D; If B is taller than E, which student is the shortest?

    Solution:
    প্রশ্নমতে,
    A, B- এর চেয়ে লম্বা; A > B,
    C, E- এর চেয়ে খাটো; E > C,
    A, D- এর চেয়ে খাটো; D > A,
    এবং B, E- এর চেয়ে লম্বা; B > E,

    এই সবগুলোকে একসাথে লিখলে সবার অবস্থান দাঁড়াবে D > A > B > E > C
    সুতরাং সব থেকে ছোট হলো C
    ২৫৭.
    What word can be formed by arranging the letters of 'AEEHLPTN'?
    1. ক
      A name of a disease
    2. খ
      A name of an animal
    3. গ
      A name of a game
    4. ঘ
      A name of a sea
    ব্যাখ্যা

    Question: What word can be formed by arranging the letters of 'AEEHLPTN'?

    Solution:
    By rearranging the letters 'AEEHLPNT', the name of an animal (ELEPHANT ⇒ Elephant) can be formed.

    ২৫৮.
    a + b + c + d = ?
    1. ক
      160°
    2. খ
      360°
    3. গ
      320°
    4. ঘ
      540°
    ব্যাখ্যা
    Question: a + b + c + d = ?

    Solution:

    We know that, 
    Total amount of internal angles of pentagon is 540°
    ∴ 180° - a + 140° + 180° - b + 180° - c + 180° - d = 540°
    ⇒ 860° - a - b - c - d = 540°
    ⇒ a + b + c + d = 860° - 540° = 320°
    ২৫৯.
    Which of the following years is not a leap year?
    1. ক
      1600
    2. খ
      800
    3. গ
      700
    4. ঘ
      2000
    ব্যাখ্যা
    Question: Which of the following years is not a leap year?

    Solution:
    A century divisible by 400 is a leap year.
    The years 800, 1600 and 2000 are divisible by 400, so they are leap years.

    The year 700 is not divisible by 400, so it is not a leap year.
    ২৬০.
    How many rotations will the short hand of a clock complete in 72 hours?
    1. ক
      6
    2. খ
      8
    3. গ
      10
    4. ঘ
      16
    ব্যাখ্যা
    Question: How many rotations will the short hand of a clock complete in 72 hours?

    Solution:

    Here,
    Short hand = Hour hand

    The short hand rotates a full rotation in 12 hours.

    Number of rotations
    = 72/12
    = 6
    ২৬১.
    Which number will complete the series:
    155, 151, 147, 143, 139, ........?
    1. ক
      132
    2. খ
      136
    3. গ
      135
    4. ঘ
      134
    ব্যাখ্যা
    Question: Which number will complete the series:
    155, 151, 147, 143, 139, ........?

    Solution:
    The pattern is followed by
    155 - 4 = 151
    151 - 4 = 147
    147 - 4 = 143
    143 - 4 = 139
    139 - 4 = 135

    Hence the number= 135.
    ২৬২.
    5, 8, 14, 26, 50, 98, ..... What number should come next? 
    1. ক
      192
    2. খ
      194
    3. গ
      200
    4. ঘ
      202
    ব্যাখ্যা

    Question: 5, 8, 14, 26, 50, 98, ..... What number should come next?

    Solution: Given series: 5, 8, 14, 26, 50, 98...

    First number: 5
    Now, 
    5 + 3 = 8
    8 + 6 = 14
    14 + 12 = 26
    26 + 24 = 50
    50 + 48 = 98

    ∴ Next number = 98 + 96 = 194

    ২৬৩.
    An accurate clock shows 2:00 PM. Through how many degrees will the hour hand rotate by the time the clock shows 8:00 PM?
    1. ক
      180°
    2. খ
      150°
    3. গ
      210°
    4. ঘ
      240°
    5. ঙ
      120°
    ব্যাখ্যা

    Question: An accurate clock shows 2:00 PM. Through how many degrees will the hour hand rotate by the time the clock shows 8:00 PM?

    Solution:
    We know,
    A clock is a full circle = 360°
    There are 12 hours on the clock face
    So the hour hand moves = 360° ÷ 12 = 30° per hour

    From 2 : 00 PM to 8 : 00 PM is exactly 6 hours later.
    Therefore, the hour hand rotates,
    6 hours × 30° per hour = 180°

    So the hour hand will rotate through 180°.

    ২৬৪.
    The following figure consists of twenty seven cubes. How many cubes will get closed on all sides by other cubes? 
    1. ক
      ক) 1
    2. খ
      খ) 2
    3. গ
      গ) 3
    4. ঘ
      ঘ) 6
    ব্যাখ্যা
    প্রশ্ন: The following figure consists of twenty seven cubes. How many cubes will get closed on all sides by other cubes? 


    সমাধান: 
    একমাত্র মাঝের ঘনক এর ৬ পাশেই ঘনক দ্বারা বেশিষ্ট থাকে।
    বাকি গুলো কোন না কোন পাশে খোলা থাকে।

    তাই, সঠিক উত্তর ১টি হবে।
    ২৬৫.
    What is the angle between the hour and minute hand of a clock when it is 10 : 20 pm by the clock?
    1. ক
      190°
    2. খ
      170°
    3. গ
      150°
    4. ঘ
      180°
    ব্যাখ্যা
    Question: What is the angle between the hour and minute hand of a clock when it is 10 : 20 pm by the clock?

    Solution:
    Angle = |(11M - 60H)/2|°
    = |{(11 × 20) - (60 × 10)}/2|°
    = |(220 - 600)/2|°
    = |-380/2|°
    = |-190|°
    = 190° [যেহেতু এটি একটি প্রবদ্ধকোণ]

    ∴ The angle between the hour and minute hand = 360° - 190° = 170°
    ২৬৬.
    In a certain sequence, the first term is 1, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term of the sequence?
    1. ক
      3/5
    2. খ
      5/8
    3. গ
      8/5
    4. ঘ
      5/3
    ব্যাখ্যা
    Question: In a certain sequence, the first term is 1, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term of the sequence?

    Solution:
    1st Term = 1
    2nd Term = 2
    3rd Term= 1/2 +1 = 3/2
    4th Term = 2/3 +1 = 5/3
    5th Term = 3/5 +1 = 8/5
    ২৬৭.
    Runa is shorter than Shila but taller than Tuli. Fahim is taller than Runa. Shila is the second-tallest person among them. Akash is shorter than Tuli. Who is the third-tallest person among them?
    1. ক
      Tuli 
    2. খ
      Runa
    3. গ
      Fahim
    4. ঘ
      Shila
    ব্যাখ্যা

    Question: Runa is shorter than Shila but taller than Tuli. Fahim is taller than Runa. Shila is the second-tallest person among them. Akash is shorter than Tuli. Who is the third-tallest person among them?

    Solution:
    First statement: Shila > Runa > Tuli

    Second statement: Fahim > Runa

    Third statement: Shila is the second-tallest, meaning one person is taller than Shila. Since Fahim is taller than Runa and Shila is taller than Runa, Fahim must be taller than Shila.
    Therefore, Fahim > Shila > Runa

    Fourth statement: Tuli > Akash

    Putting everyone together: Fahim > Shila > Runa > Tuli > Akash

    ∴ The third-tallest person is Runa.

    ২৬৮.
    What comes next?
    0.12, 0.12, 0.24, 0.72, ___
    1. ক
      ক) 1
    2. খ
      খ) 2.48 
    3. গ
      গ) 2.88 
    4. ঘ
      ঘ) 4.88 
    ব্যাখ্যা
    Question: What comes next?
    0.12, 0.12, 0.24, 0.72, ?

    Solution: 
    0.12 × 1 = 0.12
    0.12 × 2 = 0.24
     0.24 × 3 = 0.72 
    next number, 0.72 × 4 
    = 2.88
    ২৬৯.
    The ratio of principal to interest for a sum of money is 5 : 2 when invested at 8% per annum. Find the time period for which the money was invested.
    1. ক
      3 years
    2. খ
      3.5 years
    3. গ
      4.5 years
    4. ঘ
      5 years
    5. ঙ
      6 years
    ব্যাখ্যা
    Question: The ratio of principal to interest for a sum of money is 5 : 2 when invested at 8% per annum. Find the time period for which the money was invested.

    Solution:
    Given
    Rate (R) = 8% per annum
    Principal : Interest = 5 : 2

    This means P/I = 5/2
    ⇒ P/(P × 8 × T/100) = 5/2 
    ⇒ 100/(8 × T) = 5/2
    ⇒ 100 = 8 × T × 5/2
    ⇒ 100 = 20T
    ∴ T = 5
    Therefore, the money was invested for 5 years.

    [I = P × R × T/100; where I = Interest, P = Principal, R = Rate, T = Time in years]
    ২৭০.
    Which year is not a leap year?
    1. ক
      1996
    2. খ
      1994
    3. গ
      2000
    4. ঘ
      2004
    5. ঙ
      1988
    ব্যাখ্যা

    Question: Which year is not a leap year?

    Solution:
    A leap year is divisible by 4.

    Here, 
    1996 ÷ 4 = 499, divisible by 4 , so leap year.
    1994 ÷ 4 = 498.5, not divisible by 4 , not a leap year.
    2000 ÷ 4 = 500, divisible by 4 , so leap year.
    2004 ÷ 4 = 501, divisible by 4, so leap year.
    1988 ÷ 4 = 497, divisible by 4, so leap year.

    ২৭১.
    An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
    1. ক
      80°
    2. খ
      180°
    3. গ
      140°
    4. ঘ
      110°
    ব্যাখ্যা
    Question: An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?

    Solution:
    Time between 8 o'clock to 2 o'clock = 6 hours

    Hour hand rotate in 12 hours 360°
    ∴ Hour hand rotate in 6 hours (360° × 6)/12
    = 180°
    ২৭২.
    What is the angle between the hour and minute hands of a clock when it is 8: 20?
    1. ক
      130°
    2. খ
      120°
    3. গ
      145.5°
    4. ঘ
      150°
    ব্যাখ্যা

    Question: What is the angle between the hour and minute hands of a clock when it is 8: 20?

    Solution:
    We know, the angle between the hour and minute hands is,
    Angle = |11M - 60H|/2
    = |(11 × 20) - (60 × 8)|/2
    = |220 - 480|/2
    = |- 260|/2
    = 260/2
    = 130°

    ∴ The angle between the hour and minute hands at 8: 20 is 130°.

    ২৭৩.
    Find out the wrong number in the series:
    455, 445, 465, 435, 485, 415, 515, 455
    1. ক
      455
    2. খ
      465
    3. গ
      485
    4. ঘ
      415
    ব্যাখ্যা
    Question: Find out the wrong number in the series:
    455, 445, 465, 435, 485, 415, 515, 455

    Solution:
    The given series is made of two different series:

    First: 455, 465, 485, 515, and
    Second: 445, 435, 415, 455

    The sequence in first series is + 10, + 20, + 30, and
    the sequence in second series: -10, - 20.
    So, the number 455 is wrong as it should be 415 - 30 = 385
    ২৭৪.
    If Z = 52 and BAT = 46, then ACT will be equal to-
    1. ক
      ক) 96
    2. খ
      খ) 78
    3. গ
      গ) 46
    4. ঘ
      ঘ) 48
    ব্যাখ্যা
    Question: If Z = 52 and BAT = 46, then ACT will be equal to-

    Solution:

    Here,
    The Position number of Z is 26 which is re-write as 26 × 2 = 52.
    Now,
    BAT = (2 × 2) + (1 × 2) + (20 × 2) 
    = 4 + 2 + 40
    = 46

    Similarly,
    ACT = (1 × 2) + (3 × 2) + (20 × 2)
    = 2 + 6 + 40
    = 48 
    ২৭৫.
    What is the angle between the hour and minute hands of a clock when it is 4 : 20 pm?
    1. ক
      7.5°
    2. খ
      10°
    3. গ
      12.5°
    4. ঘ
      15°
    ব্যাখ্যা

    Question: What is the angle between the hour and minute hands of a clock when it is 4 : 20 pm?

    Solution:
    4টা 20 মিনিট = 4 + (20/60) ঘন্টা
    = 4 + 1/3 = 13/3 ঘন্টা

    আমরা জানি,
    ঘণ্টার কাঁটা 12 ঘণ্টায় 360° ঘোরে।
    ∴ 1 ঘণ্টায় ঘোরে = 360°/12 = 30°
    ∴ 13/3 ঘণ্টায় ঘোরে = (30° × 13)/3
    = 390°/3 = 130°

    আবার,
    মিনিটের কাঁটা 60 মিনিটে 360° ঘোরে।
    ∴ 1 মিনিটে ঘোরে = 360°/60 = 6°
    ∴ 20 মিনিটে ঘোরে = 20 × 6° = 120°

    ∴ ঘড়ির কাঁটা দুটির মধ্যবর্তী কোণ = |130° - 120°| = 10°

    ২৭৬.
    In a row of students, a student is 10th from the left and 12th from the right. How many students are there in the row?
    1. ক
      22
    2. খ
      23
    3. গ
      20
    4. ঘ
      21
    ব্যাখ্যা
    Question: In a row of students, a student is 10th from the left and 12th from the right. How many students are there in the row?

    Solution:
    Total number of students = 10 + 12 - 1
    = 21
    ২৭৭.
    Four girls are sitting on a bench to be photographed. Where Nila is to the right of Sara. Maya is to the left of Sara. And Rima is between Sara and Nila. Who would be second from the left in the photograph?
    1. ক
      Nila
    2. খ
      Sara
    3. গ
      Maya
    4. ঘ
      Rima
    5. ঙ
      Can not be determined
    ব্যাখ্যা

    Question: Four girls are sitting on a bench to be photographed. Where Nila is to the right of Sara. Maya is to the left of Sara. And Rima is between Sara and Nila. Who would be second from the left in the photograph?
     
    Solution:
    Nila is to the right of Sara
    ∴ Sara — Nila

    Maya is to the left of Sara
    ∴ Maya — Sara

    Rima is between Sara and Nila
    ∴ Sara — Rima — Nila

    Now place all four together:
    ∴ Maya — Sara — Rima — Nila

    ∴ the second from the left is Sara.

    ২৭৮.
    If f(2a) = 2f(a) and f(6) = 11, Then f(24) =?
    1. ক
      ক) 42
    2. খ
      খ) 40
    3. গ
      গ) 44
    4. ঘ
      ঘ) 41
    ব্যাখ্যা
    Question: If f(2a) = 2f(a) and f(6) = 11, Then f(24) =?

    Solution:
    f(24) 
    = f(2 × 12)
    = 2 × f(12)
    = 2 × f(2 × 6)
    = 2 × 2 × f(6)
    = 4 × 11 
    = 44
    ২৭৯.
    What will come at the place of the question mark?
    7, 13, 25, 49, ?
    1. ক
      97
    2. খ
      98
    3. গ
      90
    4. ঘ
      99
    5. ঙ
      None
    ব্যাখ্যা

    Question: What will come at the place of the question mark?
    7, 13, 25, 49, ?
     
    Solution:
    Here,
    First term = 7

    Second term = (7 × 2 - 1) = 13
    Third term = (13 × 2 - 1) = 25
    Fourth term = (25 × 2 - 1) = 49

    So,
    Fifth term = (49 × 2 - 1) = 97

    ২৮০.
    Q. (56-61): Answer the questions based on the following information. 
    A farmer has three fields, 1, 2 and 3, and is deciding which crops to plant. The crops are F, G, H, I & J.
    F will grow only in fields 1 and 3, but in order for F to grow it must be fertilized with X.
    G will grow in fields 1, 2, and 3, but in order for G to grow, fertilizer X must not be used.
    H will grow in fields 1, 2, and 3 but in order for H to grow in field 3. it must be fertilized with Y.
    I will grow only in fields 2 and 3, but in order for I to grow in field 2 it must be sprayed with pesticide Z, and in order for I to grow in field 3, it must not be sprayed with Z.
    J will grow only in field 2, but in order for J to grow. H must not be planted in the same field.
    All crops are planted and harvested at the same time. More than one crop may be planted in a field.

    It is possible to grow which of the following pairs of crops together in field 1?
    I. F and G
    II. G and H
    III. F and H
    IV. H and J
    1. ক
      ক) I and II only
    2. খ
      খ) I and III only
    3. গ
      গ) II and III only
    4. ঘ
      ঘ) I, II, and III only
    ব্যাখ্যা
    Question: It is possible to grow which of the following pairs of crops together in field 1?
    I. F and G
    II. G and H
    III. F and H
    IV. H and J

    Solution: 
    ফিল্ড ১ এ F, G, H উৎপাদন করা যায়। 
    কিন্তু, F ও G এক সাথে উৎপাদন করা যায় না। কারণ, F উৎপাদন করতে X সার দিতে হবে অনুদিকে G উৎপাদন করতে X সার ব্যবহার করা যাবে না। 

    অতএব, FH ও GH একসাথে ফিল্ড ১ এ উৎপাদন করা যাবে।
    ২৮১.
    MONSOON is related to SEASON in the same way APRIL is related to -
    1. ক
      ক) SUMMER
    2. খ
      খ) SPRING
    3. গ
      গ) WINTER
    4. ঘ
      ঘ) MONTH
    ব্যাখ্যা
    Question: MONSOON is related to SEASON in the same way APRIL is related to -

    সমাধান:
    MONSOON (বর্ষাকাল) হচ্ছে ঋতুর (SEASON) নাম, 
    তেমনি APRIL (এপ্রিল) হচ্ছে মাসের (MONTH) নাম।
    ২৮২.
    If REAL = 185112 and MAN = 13114, then PEACH will be equal to-
    1. ক
      165138
    2. খ
      125166
    3. গ
      148133
    4. ঘ
      145035
    ব্যাখ্যা
    Question: If REAL = 185112 and MAN = 13114, then PEACH will be equal to-

    Solution:
    REAL:
    R = 18
    E = 5
    A = 1
    L = 12
    So, REAL = 185112 

    MAN:
    M = 13
    A = 1
    N = 14
    So, MAN = 13114 

    Apply the same logic to PEACH
    P = 16
    E = 5
    A = 1
    C = 3
    H = 8
    So, PEACH = 165138
    ২৮৩.
    ACZ, CEY, EGX, GIW, ——, KMU.
    1. ক
      IKV
    2. খ
      ILT
    3. গ
      LVX
    4. ঘ
      HKU
    ব্যাখ্যা

    Question: ACZ, CEY, EGX, GIW, ——, KMU.

    Solution:
    There are two independent alphabetical series here.

    First series (first two letters as a pair):
    Each pair advances by +2 in the alphabet for each letter :
    A (+2) → C (+2) → E (+2) → G (+2) → I (+2) → K
    C (+2) → E (+2) → G (+2) → I (+2) → K (+2) → M
    ∴ (AC, CE, EG, GI, IK, and KM).

    Second series (third letter):
    This is a reverse alphabetical sequence (decreasing by 1).
    Z (-1) → Y (-1) → X (-1) → W (-1) → V (-1) → U
    ∴ Z, Y, X, W, V, U.

    So the missing term after GIW is IKV.

    ২৮৪.
    What is the angle between the hour and minute hand of a clock when it is 2 : 30 pm?
    1. ক
      100°
    2. খ
      105°
    3. গ
      108°
    4. ঘ
      110°
    ব্যাখ্যা

    Question: What is the angle between the hour and minute hand of a clock when it is 2 : 30 pm?

    Solution:
    2টা 30 মিনিট = 2 + (30/60) ঘন্টা
    = 2 + 1/2 = 5/2 ঘন্টা

    আমরা জানি,
    ঘণ্টার কাঁটা 12 ঘণ্টায় 360° ঘোরে।
    ∴ 1 ঘণ্টায় ঘোরে = 360°/12 = 30°
    ∴ 5/2 ঘণ্টায় ঘোরে = (30° × 5)/2
    = 75°

    আবার,
    মিনিটের কাঁটা 60 মিনিটে 360° ঘোরে।
    ∴ 1 মিনিটে ঘোরে = 360°/60 = 6°
    ∴ 30 মিনিটে ঘোরে = 30 × 6° = 180°

    ∴ ঘড়ির কাঁটা দুটির মধ্যবর্তী কোণ = |180° - 75°| = 105°

    ২৮৫.
    Which number replaces the question mark?
    1. ক
      12
    2. খ
      6
    3. গ
      9
    4. ঘ
      8
    ব্যাখ্যা
    Question: Which number replaces the question mark?


    Solution:
    Here,
    6 - 4 = 2 
    3 -  2 = 1
    7 - 1 = 6

    ∴ The question mark is replaced by 6
    ২৮৬.
    Apple is producing the iPhone at a cost of 200 dollars and selling it at 600 dollars. In the production of 100 phones, 40 were defective phones. What is the percentage of loss or profit?
    1. ক
      80% loss
    2. খ
      20% profit
    3. গ
      80% profit
    4. ঘ
      10% loss
    ব্যাখ্যা
    Question: Apple is producing the iPhone at a cost of 200 dollars and selling it at 600 dollars. In the production of 100 phones, 40 were defective phones. What is the percentage of loss or profit?

    Solution: 
    100 phones making cost = (100 × 200) = 20000 dollars.
    Selling price of 60 phones =  (60 × 600) = 36000 dollars

    profit = (36000 - 20000) = 16000

    profit percentage = (16000/20000)100%
    = 80%
    ২৮৭.
    'Rabbit' is related to 'Burrow' in the same way as 'Lunatic' is related to:
    1. ক
      ক) Prison
    2. খ
      খ) Cell
    3. গ
      গ) Barrack
    4. ঘ
      ঘ) Asylum
    ব্যাখ্যা
    As the dwelling place of 'Rabbit' is 'Burrow' in the same way the dwelling place of 'Lunatic' is 'Asylum'.
    ২৮৮.
    When the following letters are rearranged, they form a part of the human body. Which one is it?
    1. ক
      V L R E I K
    2. খ
      H E D L C A
    3. গ
      Y E K N I D
    4. ঘ
      E T A R H L
    ব্যাখ্যা
    Question: When the following letters are rearranged, they form a part of the human body. Which one is it?

    Solution:
    By rearranging Y E K N I D, we get KIDNEY, which is an organ of the human body.

    Looking more carefully at each option:
    - LIVER (option ক) has an extra K that doesn't fit
    - HEAD (option খ) has extra letters L and C

    - KIDNEY (option গ) uses all the letters exactly once
    - HEART (option ঘ) has extra letters L
    ২৮৯.
    You see six pairs of horse hooves under a fence. How many horses are behind it?
    1. ক
      24
    2. খ
      3
    3. গ
      6
    4. ঘ
      12
    ব্যাখ্যা
    Question: You see six pairs of horse hooves under a fence. How many horses are behind it?

    Solution:
    There are a total of 6 × 2 = 12 horses hooves.

    There are a total of 12 / 4 = 3 horses.
    ২৯০.
    It was Monday on Jan 1, 2018. What was the day of the week on Jan 1, 2022?
    1. ক
      Monday
    2. খ
      Friday
    3. গ
      Saturday
    4. ঘ
      Sunday
    ব্যাখ্যা
    Question: It was Monday on Jan 1, 2018. What was the day of the week on Jan 1, 2022?

    Solution: 
    We know that,
    The first day and the last day of a year are same day of the week, except leap year.
    In a leap year, the week day of the last day of the year is next to the week day of the first day of the year.

    Now,
    It was Monday on Jan 1, 2018 so, it was Monday on Dec 31, 2018.
    It was Tuesday on Jan 1, 2019 so, it was Tuesday on Dec 31, 2019.
    It was Wednesday on Jan 1, 2020 (which was leap year) so, it was Thursday on Dec 31, 2020.
    It was Friday on Jan 1, 2021 so, it was Friday on Dec 31, 2021.
    It was Saturday on Jan 1, 2022.
    ২৯১.
    31, 29, 24, 22, 17, ... What number should come next?
    1. ক
      19
    2. খ
      15
    3. গ
      14
    4. ঘ
      13
    ব্যাখ্যা
    Question: 31, 29, 24, 22, 17, ... What number should come next?

    Solution: 
    31 - 29 = 2
    29 - 24 = 5 
    24 - 22 = 2
    22 - 17 = 5 
    17 - 15 = 2 

    next number is 15 
    ২৯২.
    Today is Monday. After 61 days, it will be:
    1. ক
      Monday
    2. খ
      Saturday
    3. গ
      Sunday
    4. ঘ
      Friday
    ব্যাখ্যা
    Question: Today is Monday. After 61 days, it will be:

    Solution:
    Each day of the week is repeated after 7 days.
    So, after 63 days, it will be Monday.
    ∴ After 61 days, it will be Saturday.
    ২৯৩.
    Find the odd number/letters from the given alternatives.
    1. ক
      ক) PQXZ
    2. খ
      খ) CQBN
    3. গ
      গ) ABDF
    4. ঘ
      ঘ) PRMN
    ব্যাখ্যা
    Question: Find the odd number/letters from the given alternatives.

    Solution:
    PQXZ → No vowel.
    CQBN → No vowel.
    ABDF → One vowel.
    PRMN → No vowel.
    ২৯৪.
    In a certain code, AXIOM is written as ZWHNL. How is WAXED written in that code?
    1. ক
      VYXDC
    2. খ
      VZWED
    3. গ
      WZXDC
    4. ঘ
      VZWDC
    ব্যাখ্যা

    Question: In a certain code, AXIOM is written as ZWHNL. How is WAXED written in that code?

    সমাধান:
    এই কোডিং প্যাটার্নটি হলো প্রতিটি অক্ষরের পূর্ববর্তী অক্ষর ব্যবহার করা।
    A ⇒ Z
    X ⇒ W
    I ⇒ H
    O ⇒ N
    M ⇒ L
    এই নিয়ম অনুযায়ী, WAXED শব্দটির কোড হবে:
    W ⇒ V
    A ⇒ Z
    X ⇒ W
    E ⇒ D
    D ⇒ C

    সুতরাং, WAXED এর কোড হবে: VZWDC

    ২৯৫.
    Mahi was facing east. he walked 7 km forward and then after turning to his right walked 5 km. Again he turned to his right and walked 7 km. After this he turned back. Which direction was he facing at that time?
    1. ক
      East
    2. খ
      West
    3. গ
      North
    4. ঘ
      South
    ব্যাখ্যা

    Question: Mahi was facing east. he walked 7 km forward and then after turning to his right walked 5 km. Again he turned to his right and walked 7 km. After this he turned back. Which direction was he facing at that time?

    Solution: 
    Mahi's Movement-



    ∴ If Mahi turned back from final position he must be facing in the direction of East.

    ২৯৬.
    What will come in place of "?"?
    1. ক
      20
    2. খ
      25
    3. গ
      7
    4. ঘ
      10
    5. ঙ
      17
    ব্যাখ্যা
    Question: What will come in place of "?"?

    Solution:
    The inner value is half of sum of squares of outer numbers.
    First figure = 62 + 22 + 42 + 22 ⇒ 60/2 = 30
    2nd figure= 32 + 42 + 32 + 22 ⇒ 38/2 = 19
    3rd figure = 32 + 12 + 22 + 62 ⇒ 50/2 = 25
    ২৯৭.

    Square RSTU shown above is rotated in a plane about its center in a clockwise direction the minimum number of degrees necessary for T to be in the position where S is now shown. The number of degrees through which RSTU is rotated is-
    1. ক
      135 degree
    2. খ
      270 degree
    3. গ
      225 degree
    4. ঘ
      180 degree
    ব্যাখ্যা
    Question:

    Square RSTU shown above is rotated in a plane about its center in a clockwise direction the minimum number of degrees necessary for T to be in the position where S is now shown. The number of degrees through which RSTU is rotated is-

    Solution:
    T থেকে U পর্যন্ত ঘুরলে ৯০° অতিক্রম করা হবে।
    U থেকে R পর্যন্ত ঘুরলে ৯০° অতিক্রম করা হবে।
    R থেকে S পর্যন্ত ঘুরলে ৯০° অতিক্রম করা হবে।
    ∴ T যদি S এর অবস্থানে যেতে চায় তাহলে (৯০° + ৯০° + ৯০°) = ২৭০° ঘুরতে হবে।
    ২৯৮.
    Which number will complete the series: 1, 3, 7, 15, 31, 63,__?
    1. ক
      ক) 123
    2. খ
      খ) 125
    3. গ
      গ) 127
    4. ঘ
      ঘ) 129
    ব্যাখ্যা
    Question: Which number will complete the series: 1, 3, 7, 15, 31, 63, __?

    Solution:
    3 - 1 = 2
    7 - 3 = 4 = 2 × 2
    15 - 7 = 8 = 4 × 2
    31 - 15 = 16 = 8 × 2
    63 - 31 = 32 = 16 × 2

    ∴ The next number of 63 will be 63 + 32 × 2
    = 63 + 64
    = 127
    ২৯৯.
    Calculate cube root:
    1. ক
      2
    2. খ
      4
    3. গ
      8
    4. ঘ
      None of these
    ব্যাখ্যা
    Question: Calculate cube root:

    Solution:
    ৩০০.
    If A = 3, B = 6, C = 9, and so on, what is the meaning of the following numbers 36, 27, 45, 42?
    1. ক
      TEAR
    2. খ
      LION
    3. গ
      LEAP
    4. ঘ
      MUTE
    ব্যাখ্যা

    Question: If A = 3, B = 6, C = 9, and so on, what is the meaning of the following numbers 36, 27, 45, 42?

    Solution:
    Given,
    A = 3, B = 6, C = 9, ......

    ∴ প্রতিটি কোড = অক্ষরের অবস্থান × 3

    So,
    36 ÷ 3 = 12 → L
    27 ÷ 3 = 9 → I
    45 ÷ 3 = 15 → O
    42 ÷ 3 = 14 → N

    ∴ The meaning of the following number = LION