Analytical Ability

PrepBank · পাতা ১ / ৭ · ১–১০০ / ৬৫৯

১.

31, 29, 24, 22, 17, . . . What number should come next?

ক
15
খ
12
গ
14
ঘ
13

ব্যাখ্যা

Question: 31, 29, 24, 22, 17, . . . What number should come next?

Solution:
In this series at first subtracts 2, then 5.

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

২.

Find the missing letter marked (?) in the series:
C, E, H, ?, Q, W.

ক
K
খ
L
গ
M
ঘ
O

ব্যাখ্যা

Question: Find the missing letter marked (?) in the series:
C, E, H, ?, Q, W.

Solution:

এখানে প্যাটার্নটি হলো +2, +3, +4, +5, ...
C (3) + 2 = E (5)
E (5) + 3 = H (8)
H (8) + 4 = 12তম অক্ষর, অর্থাৎ L
L (12) + 5 = Q (17)
Q (17) + 6 = W (23)

সুতরাং প্রশ্নবোধক চিহ্নিত স্থানে L বসবে।

৩.

Which man is the tallest?
When
A is smaller than B
B is smaller than C
C is smaller than D
D is taller than E

ক
D
খ
B
গ
C
ঘ
A

ব্যাখ্যা

Question: Which man is the tallest?
When
A is smaller than B
B is smaller than C
C is smaller than D
D is taller than E

Solution:
প্রশ্নানুযায়ী,
B থেকে A ছোট
C থেকে B ছোট
D থেকে C ছোট
কিন্তু, E থেকে D লম্বা।

∴ A, B, C, D ও E এর মধ্যে D সবচেয়ে লম্বা।

৪.

If Titu is three years older than double the age of Puja and Pavel is 7 years senior to Puja. Tithi is Pavel's wife and 3 years junior to Pavel. What is the age of Tithi if Titu is 57 years old?

ক
31
খ
32
গ
33
ঘ
29

ব্যাখ্যা

Question: If Titu is three years older than double the age of Puja and Pavel is 7 years senior to Puja. Tithi is Pavel's wife and 3 years junior to Pavel. What is the age of Tithi if Titu is 57 years old?

Solution:
As per the question,
Let
Puja's age be x
Titu's age = 2x + 3
Now
2x + 3 = 57
2x = 57 - 3
2x = 54
x = 27

Pavel = x + 7 = 27 + 7 = 34

Tithi is = 34 - 3 = 31

৫.

In a boat, there are 8 men whose average weight is increased by 1 kg when 1 man of 60 kg is replaced by a new man. What is the weight of the newcomer?

ক
66 kg
খ
68 kg
গ
70.5 kg
ঘ
71 kg

ব্যাখ্যা

Question: In a boat, there are 8 men whose average weight is increased by 1 kg when 1 man of 60 kg is replaced by a new man. What is the weight of the newcomer?

সমাধান:
মোট লোকের সংখ্যা = 8 জন
গড় ওজন 1 কেজি বৃদ্ধি পেয়েছে।
∴ মোট ওজন বৃদ্ধি = 8 × 1 = 8 কেজি

যেহেতু নতুন ব্যক্তি আসার ফলে গড় ওজন বৃদ্ধি পেয়েছে, তাই নতুন ব্যক্তির ওজন অবশ্যই পূর্বের ব্যক্তির ওজনের চেয়ে বেশি হবে।

দেওয়া আছে, পূর্বের ব্যক্তির ওজন = 60 কেজি
∴ নতুন ব্যক্তির ওজন = 60 + 8 = 68 কেজি

৬.

A clock seen through a mirror shows quarter past five. What is the correct time shown by the clock?

ক
11 : 45
খ
6 : 45
গ
11 : 15
ঘ
6 : 15

ব্যাখ্যা

Question: A clock seen through a mirror shows quarter past five. What is the correct time shown by the clock?

Solution:
The time quarter past 5 is 5 : 15

প্রকৃতপক্ষে সময়
= 11 : 60 - আয়নায় দেখা সময়
= 11 : 60 - 5 : 15
= 6 : 45

৭.

If the current month is January, what month will it be after 50 months?

ক
February
খ
March
গ
April
ঘ
None of the above

ব্যাখ্যা

Question: If the current month is January, what month will it be after 50 months?

Solution:
We know that there are 12 months in a year, and the months repeat after every 12 months.

প্রথমে 50 কে 12 দিয়ে ভাগ দেই,
50 ÷ 12 = 4 remainder 2,

January মাসের এক মাস পরে হবে February.
January মাসের দুই মাস পরে আসবে March.

৮.

What is the angle between the hour and minute hand of a clock when it is 12 : 20 pm by the clock?

ক
100°
খ
90°
গ
110°
ঘ
80°
ঙ
None of these

ব্যাখ্যা

Question: What is the angle between the hour and minute hand of a clock when it is 12 : 20 pm by the clock?

Solution:
Angle = |(11M - 60H)/2|°
= |{(11 × 20) - (60 × 0)}/2|° [Hour consider 0 at 12'o clock]
= |220/2|°
= 110°

৯.

If TALE = LATE, then CAFE = ?

ক
FAFC
খ
EAFC
গ
AFCE
ঘ
FACE

ব্যাখ্যা

Question: If TALE = LATE, then CAFE = ?

Solution:
এখানে, TALE = LATE এর T আর L পরস্পরের স্থান পরিবর্তন করেছে, A আর E এর কোনো পরিবর্তন হয়নি।
তাই CAFE শব্দের A আর E এর কোনো পরিবর্তন হবে না, C আর F পরস্পরের স্থান পরিবর্তন করবে।
∴ CAFE = FACE

১০.

In a party a man and his wife had two sons and their wives and each son had 4 children. How many people were present at the party?

ক
13
খ
15
গ
14
ঘ
12

ব্যাখ্যা

Question: In a party a man and his wife had two sons and their wives and each son had 4 children. How many people were present at the party?

Solution:
মোট লোক = ব্যক্তি + তাঁর স্ত্রী + তাদের দুই পুত্র + দুই পুত্রের স্ত্রী + পুত্রদের মোট ৮ সন্তান
= ১৪ জন।

∴ পার্টিতে মোট উপস্থিত ছিল ১৪ জন।

১১.

Find the odd one out.

ক
A
খ
B
গ
C
ঘ
D

ব্যাখ্যা

Question: Find the odd one out.

Solution:
Here, the odd one out is A. It is the only vowel, all others are consonants.

১২.

Pointing to a photograph Anik said, "He is the son of the only son of my grandfather." How is the man in the photograph related to Anik?

ক
Father
খ
Uncle
গ
Brother
ঘ
Son

ব্যাখ্যা

Question: Pointing to a photograph Anik said, "He is the son of the only son of my grandfather." How is the man in the photograph related to Anik?

Solution:
- আনিকের দাদার একমাত্র ছেলের অনিকের বাবা।
- অনিকের বাবার ছেলে অনিকের ভাই।

১৩.

How many triangles are there?

ক
8
খ
9
গ
12
ঘ
15

ব্যাখ্যা

Question: How many triangles are there?

Solution:

The simplest triangles are AEH, EHI, EBF, EFI, FGC, IFG, DGH and HIG.
so, there are 8 triangles

The triangles composed of two components each are HEF, EFG, HFG and EFG
so, there are 4 triangles
Thus, there are 8 + 4 = 12 triangles in the figure.

১৪.

Starting from point P, Kamal walked 25 m towards West. He turned left and walked 30 m. He then turned left and walked 25 m. After this, he turned to his right and walked 15 m. How far and in which direction is Kamal now from point P?

ক
32 m, South
খ
40 m, North
গ
65 m, East
ঘ
45 m, South

ব্যাখ্যা

Question: Starting from point P, Kamal walked 25 m towards West. He turned left and walked 30 m. He then turned left and walked 25 m. After this, he turned to his right and walked 15 m. How far and in which direction is Kamal now from point P?

Solution:

- কামাল P বিন্দু থেকে পশ্চিমে 25 মিটার গেল।
- সেখান থেকে বামে মোড় নিয়ে দক্ষিণে 30 মিটার গেল।
- পুনরায় বামে মোড় নিয়ে পূর্বে 25 মিটার গেল। যেহেতু সে পশ্চিমে 25 মিটার গিয়েছিল এবং পুনরায় পূর্বে 25 মিটার ফিরে এসেছে, তাই সে এখন P বিন্দুর ঠিক সোজাসুজি দক্ষিণ দিকে অবস্থান করছে।
- সবশেষে সে ডানে মোড় নিয়ে দক্ষিণে আরও 15 মিটার গেল।

দূরত্ব নির্ণয়:
P বিন্দু থেকে বর্তমান অবস্থানের মোট দূরত্ব = (30 + 15) মিটার = 45 মিটার।
দিক নির্ণয়:
সে P বিন্দুর সাপেক্ষে এখন দক্ষিণ দিকে রয়েছে।

∴ কামাল এখন P বিন্দু থেকে 45 মিটার দক্ষিণে অবস্থান করছে।

১৫.

It was Saturday on January 1, 2015. What was the day of the week on Jan 1, 2016?

ক
Sunday
খ
Monday
গ
Friday
ঘ
Saturday

ব্যাখ্যা

Question: It was Saturday on January 1, 2015. What was the day of the week on Jan 1, 2016?

Solution:
2015 সালটি 4 দ্বারা বিভাজ্য নয়। (2016 ÷ 4 = 503.75), তাই এটি একটি অধিবর্ষ নয়।

• অতিরিক্ত দিন নির্ণয়:
365 ÷ 7 = 52 সপ্তাহ এবং 1 দিন অতিরিক্ত হয়।

এখন,
1 লা জানুয়ারি 2015 দিনটি ছিল Saturday।
যেহেতু 2015 সালটি অধিবর্ষ নয়, তাই 1লা জানুয়ারি 2016 দিনটি হবে Saturday এর থেকে 1 দিন বেশি।
⇒ Saturday + 1 দিন = Sunday

∴ 1লা জানুয়ারি 2016 দিনটি হবে Sunday।

১৬.

Rana was standing on comilla rail station which is 120 meters long. He finds that a train crosses the platform in 20 seconds and crosses him in 8 seconds . how fast was the train travelling?

ক
12 m/s
খ
8 m/s
গ
10 m/s
ঘ
9 m/s

ব্যাখ্যা

Question: Rana was standing on comilla rail station which is 120 meters long. He finds that a train crosses the platform in 20 seconds and crosses him in 8 seconds . how fast was the train travelling?

Solution:
Let,
The length of the train = a meters.
It covers a meters in 8 sec and (a + 120) meters in 20 seconds.

So,
(a/8) = (a + 120)/20
⇒ 20a = 8(a + 120)
⇒ 20a = 8a + 960
⇒ 20a - 8a = 960
⇒ 12a = 960
∴ a = 80 meters

So, speed = a/8 = 80/8 = 10 m/s

১৭.

If 16th March, 2005 is Wednesday, what was the day of the week on 16th March, 2004?

ক
Tuesday
খ
Monday
গ
Friday
ঘ
None of the above

ব্যাখ্যা

Question: If 16th March, 2005 is Wednesday, what was the day of the week on 16th March, 2004?

Solution:
Since 16th March is coming after February leap year will not count in 2004.
Odd day is 1.

∴ 16th March, 2004 is Tuesday.

১৮.

What would be the mirror image of the clock when the time is 01 : 40?

ক
10 : 20
খ
11 : 20
গ
4 : 10
ঘ
10 : 04

ব্যাখ্যা

Question: What would be the mirror image of the clock when the time is 01 : 40?

Solution:
Hence,
11 : 60 - 01 : 40
= 10 : 20

∴ The mirror image of 1 : 40 would be 10 : 20.

১৯.

If X = 48 and BAT = 46, then MAT will be equal to-

ক
72
খ
68
গ
58
ঘ
54

ব্যাখ্যা

Question: If X = 48 and BAT = 46, then MAT will be equal to-

Solution:

Here,
The Position number of X is 24 which is re-write as 24 × 2 = 48.
Now,
BAT = (2 × 2) + (1 × 2) + (20 × 2)
= 4 + 2 + 40
= 46

Similarly,
MAT = (13 × 2) + (1 × 2) + (20 × 2)
= 26 + 2 + 40
= 68

২০.

If in a certain language, SISTER is coded as 535301, UNCLE is coded as 84670, and BOY as 129, how is SON coded?

ক
520
খ
524
গ
425
ঘ
345

ব্যাখ্যা

Question: If in a certain language, SISTER is coded as 535301, UNCLE is coded as 84670, and BOY as 129, how son is coded?

Solution:
S → 5
O → 2
N → 4

Son is coded as 524

২১.

The next number in the sequence 4, 11, 19, 41, 79, __ is-

ক
110
খ
129
গ
150
ঘ
161

ব্যাখ্যা

Question: The next number in the sequence 4, 11, 19, 41, 79, __ is-

Solution:
19 = 11 + (4 × 2)
41 = 19 + (11 × 2)
79 = 41 + (19 × 2)

∴ next number = 79 + (41 × 2)
= 79 + 82
= 161

২২.

Given below are parts of a single sentence. Each part is labelled as K, L, M, N you need to arrange the given parts to form a coherent sentence by identifying the correct sequence:
K : lies in
L : beholder
M : beauty
N : the eyes of the

ক
ক) MNLK
খ
খ) MKNL
গ
গ) KLMN
ঘ
ঘ) MKLN

ব্যাখ্যা

The sentence must start with the subject 'Beauty.' Therefore, the part should be M.
M must be followed by K as it is having a verb 'lies.'
A sentence cannot end with an article 'the.'
Therefore, the conclusion part must be L.
Therefore, the correct answer is 'MKNL.'
Correct sentence: Beauty lies in the eyes of the beholder.

"Beauty lies in the eye of the beholder" is a proverb.
Bangla Meaning: দ্রষ্টার চোখেই সৌন্দর্য থাকে।

২৩.

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

ক
250°
খ
130°
গ
180°
ঘ
120°

ব্যাখ্যা

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

Solution:
20 minutes past 8 অর্থাৎ, 8 টা 20 মিনিট।
= 8 + (20/60) ঘন্টা
= 8 + (1/3)
= 25/3 ঘন্টা

আমরা জানি,
ঘণ্টার কাঁটা 12 ঘণ্টায় 360° ঘোরে।
∴ 1 ঘণ্টায় ঘোরে = 360°/12 = 30°
∴ 25/3 ঘন্টায় ঘোরে = (30° × 25)/3 = 250°

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

∴ ঘড়ির কাঁটা দুটির মধ্যবর্তী কোণ = | 250° - 120° | = 130°

২৪.

A person has Tk. 950 in 29 notes consisting of Tk. 500, 100, 50 and 10. How many notes should at least be in Tk. 50?

ক
ক) 1
খ
খ) 2
গ
গ) 5
ঘ
ঘ) None

ব্যাখ্যা

Question: A person has Tk. 950 in 29 notes consisting of Tk. 500, 100, 50 and 10. How many notes should at least be in Tk. 50?

Solution:
১ টি ৫০০ টাকার নোট, ১ টি ১০০ টাকার নোট, ১ টি ৫০ টাকার নোট = ৫০০ + ১০০ + ৫০ টাকা
= ৬৫০ টাকা

১০ টাকার নোট লাগবে = ৯৫০ - ৬৫০/১০
= ৩০০/১০
= ৩০ টি ; যা সম্ভব নয় যেহেতু মোট নোট আছে ২৯ টি

আবার,
১ টি ৫০০ টাকার নোট, ১ টি ১০০ টাকার নোট, ২ টি ৫০ টাকার নোট = ৫০০ + ১০০ + ১০০ টাকা
= ৭০০ টাকা

১০ টাকার নোট লাগবে = ৯৫০ - ৭০০/১০
= ২৫০/১০
= ২৫ টি ;

মোট নোট = ২৫ + ১ + ১ + ২ টি
= ২৯ টি

অতএব, ৫০ টাকার কমপক্ষে ২ টি নোট লাগবে।

২৫.

Choose the one that will be best fit in the blank position?
ELFA, GLHA, ILJA,______, MLNA

ক
ক) OLPA
খ
খ) LLMA
গ
গ) KLMA
ঘ
ঘ) KLLA

ব্যাখ্যা

Question: Choose the one that will be best fit in the blank position? ELFA, GLHA, ILJA,______, MLNA

Solution:
প্রথম বর্ণে একটি বর্ণ বাদ দিয়ে পরের টি বসানো হয়েছে।
E (F) G (H) I (J) K (L) M

প্রতিটি অংশে ২য় ও ৪র্থ বর্ণ L ও A।

৩য় অংশে একটি বর্ণ বাদ দিয়ে পরের টি বসানো হয়েছে।
F (G) H (I) J (k) L (M) N

অতএব, শূন্যস্থানে বসবে KLLA

২৬.

13, 17, 19, 23, 29, ?
Which number replace the Question mark?<

ক
30
খ
31
গ
33
ঘ
34

ব্যাখ্যা

Question: 13, 17, 19, 23, 29, ?
Which number replace the Question mark?

Solution:
13, 17, 19, 23, 29
All the numbers are prime number
∴ Next number will be 31

২৭.

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

ক
105°
খ
110°
গ
120°
ঘ
130°

ব্যাখ্যা

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

Solution:
8টা 20 মিনিট = 8 + (20/60) ঘণ্টা
= 8 + (1/3) = 25/3 ঘণ্টা

আমরা জানি,
ঘণ্টার কাঁটা 12 ঘণ্টায় 360° ঘোরে।
∴ 1 ঘণ্টায় ঘোরে = 360°/12 = 30°
∴ 25/3 ঘণ্টায় ঘোরে = (30° × 25)/3 = 250°

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

∴ ঘড়ির কাঁটা দুটির মধ্যবর্তী কোণ = |250° - 120°| = 130°

২৮.

The man was carrying a _____ bag.

ক
ক) black small plasic
খ
খ) small and black
গ
গ) small black plastic
ঘ
ঘ) plastic small black

ব্যাখ্যা

Correct Sentence: The man was carrying a small black plastic bag.
- এই বাক্যে modifier অর্থাৎ adjectives সমূহ হচ্ছে: small, black, plastic.

• The most usual sequence of adjectives:
1. Opinion (unusual, lovely, beautiful, etc).
2. Size (big, small, tall, etc).
3. Physical quality (thin, rough, untidy, etc).
4. Shape (round, square, rectangular, etc).
5. Age (young, old, youthful, etc).
6. Color (blue, red, pink, etc).
7. Origin (Dutch, Japanese, Turkish, etc).
8. Material (metal, wood, plastic, etc).
9. Type (general-purpose, four-sided, U-shaped, etc).
10. Purpose (cleaning, hammering, cooking, etc).

তাই সঠিক sequence হবে: small (size)→ black (color)→ plastic (material).

Source: Cambridge Dictionary.

২৯.

ফারহানের জন্মদিন 29 ফেব্রুয়ারি। তাঁর জন্ম গ্রহণের সালটি হতে পারে

ক
1900
খ
2002
গ
2008
ঘ
2010

ব্যাখ্যা

প্রশ্ন: ফারহানের জন্মদিন 29 ফেব্রুয়ারি। তাঁর জন্ম গ্রহণের সালটি হতে পারে

সমাধান:
- ফেব্রুয়ারি মাস 29 দিনে হয় যখন বছরটি লিপ ইয়ার হয়।
- অপশনে প্রদত্ত সালগুলোর মধ্যে শুধুমাত্র 2008 হচ্ছে লিপ-ইয়ার।
- সুতরাং ফারহানের জন্মগ্রহণের সালটি হতে পারে 2008।

[গ্রেগরীয় অ্যালগরিদম অনুযায়ী, কোনো বছর ৪ দ্বারা বিভাজ্য এবং ১০০ দ্বারা বিভাজ্য না হলে তবে সেই বছর অধিবর্ষ হবে। কিন্তু ১০০ দ্বারা বিভাজ্য হলে সেই বছর অধিবর্ষ হবে না যদি ঐ বছর ৪০০ দ্বারা বিভাজ্য না হয়।]

৩০.

How many times are the hands of a clock at right angle in a day?

ক
88 times
খ
66 times
গ
22 times
ঘ
44 times

ব্যাখ্যা

Question: How many times are the hands of a clock at right angle in a day?

Solution:
In 12 hours, they are at right angles 22 times.
∴ In 24 hours, they are at right angles 44 times.

৩১.

A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be-

ক
22
খ
23
গ
24
ঘ
26

ব্যাখ্যা

Question: A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be-

Solution:
Let the number of hens be x and the number of cows be y.
Then, x + y = 48 .... (i)
and
2x + 4y = 140
x + 2y = 70 .... (ii)

Solving (i) and (ii) we get:
x = 26, y = 22.

The required answer = 26.

৩২.

If A and B are prime numbers, which of the following cannot be the sum of A and B?

ক
28
খ
14
গ
22
ঘ
35

ব্যাখ্যা

Question: If A and B are prime numbers, which of the following cannot be the sum of A and B?

Solution:
Let's consider the prime numbers less than 35:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31

Now, let's examine each option:
28 = 5 + 23
14 = 3 + 11
22 = 3 + 19

We can see that 35 cannot be written as the sum of two prime numbers. Therefore, 35 is the answer that cannot be the sum of two prime numbers A and B.

৩৩.

Rectangle : Pentagon-

ক
ক) Side : Angle
খ
খ) Diagonal : Perimeter
গ
গ) Triangle : Rectangle
ঘ
ঘ) Circle : Square

ব্যাখ্যা

Second one had one more side than the first.

৩৪.

Find the number of triangles in the given figure.

ক
5
খ
6
গ
12
ঘ
10

ব্যাখ্যা

Question: Find the number of triangles in the given figure.

Solution:

The simplest triangles are AJF, FBG, GCH, HDI, and IEJ = 5 in number.

The triangles composed of three components each, EBH, AIC, EFC, ADG, and BJD = 5 in number.

Thus, there are 5 + 5 = 10 triangles in the figure.

৩৫.

If England is written as 1234526 and France is written as 785291, then Greece is written as-

ক
130429
খ
293522
গ
352293
ঘ
381191

ব্যাখ্যা

Question: If England is written as 1234526 and France is written as 785291, then Greece is written as-

Solution:
England is written as 1234526
E = 1
n = 2
g = 3
l = 4
a = 5
n = 2
d = 6

France is written as 785291
F = 7
r = 8
a = 5
n = 2
c = 9
e = 1

So, GREECE will be = 381191

৩৬.

Which number replaces the question mark?

ক
2
খ
7
গ
11
ঘ
4

ব্যাখ্যা

Question: Which number replaces the question mark?

Solution:
এখানে,
13 - 8 = 5
22 - 13 = 9
9 - 5 = 4
37 - 22 = 15
15 - 9 = 6
6 - 4 = 2

সুতরাং, প্রশ্নবোধক চিহ্নের স্থানে 2 বসবে।

৩৭.

Arrange the words given below in a meaningful sequence.
1. Crime
2. punishment
3. Police
4. Justice
5. Judgement.

ক
2, 1, 3, 5, 4
খ
1, 3, 4, 5, 2
গ
4, 1, 5, 2, 3
ঘ
1, 5, 4, 3, 2

ব্যাখ্যা

Question: Arrange the words given below in a meaningful sequence.
1. Crime
2. punishment
3. Police
4. Justice
5. Judgement

Solution:
Crime → 1
Police → 3
Justice → 4
Judgement → 5
punishment → 2

so, meaningful sequence is 1, 3, 4, 5, 2

৩৮.

What number should replace the question mark?

ক
ক) 18
খ
খ) 68
গ
গ) 81
ঘ
ঘ) 44
ঙ
ঙ) 52

ব্যাখ্যা

Question: What number should replace the question mark?

Solution:
In first figure:
4 × 8 + 7 = 32 + 7 = 39

In second figure:
6 × 3 + 9 = 18 + 9 = 27

So, in third figure:
9 × 7 + 5 = 63 + 5 = 68

∴ The number is 68

৩৯.

Which number is the odd one in oval A and B respectively?

ক
42, 18
খ
42, 52
গ
36, 6
ঘ
48, 52

ব্যাখ্যা

Question: Which number is the odd one in oval A and B respectively?

Solution:
In figure A,
42 is odd because except 42 all the other numbers are divisible by 12

In figure B,
52 is odd because except 52 all the other numbers are divisible by 6

৪০.

2, 8, 14, 20, 26, 32, 38, ... choose which pair of numbers comes next?

ক
44, 50
খ
42, 48
গ
2, 46
ঘ
32, 26

ব্যাখ্যা

Question: 2, 8, 14, 20, 26, 32, 38, ... choose which pair of numbers comes next?

Solution:
This is an arithmetic sequence where each term increases by 6.
Check the differences,
8 - 2 = 6
14 - 8 = 6
20 - 14 = 6
26 - 20 = 6
32 - 26 = 6
38 - 32 = 6
So the pattern is very clear that add 6 each time.

Next two numbers after 38 is-
38 + 6 = 44, 44 + 6 = 50

Therefore, the next pair is 44, 50.

৪১.

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?

ক
40th day
খ
31th day
গ
30th day
ঘ
20th 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।

৪২.

What is the angle formed between the hour hand and the minute hand of a clock at 3:20 PM?

ক
20°
খ
30°
গ
40°
ঘ
50°
ঙ
None

ব্যাখ্যা

Question: What is the angle formed between the hour hand and the minute hand of a clock at 3:20 PM?

Solution:
3টা 20 মিনিট = 3 + (20/60) ঘন্টা
= 3 + 1/3 = 10/3 ঘন্টা

আমরা জানি,
ঘণ্টার কাঁটা 12 ঘণ্টায় 360° ঘোরে।
∴ 1 ঘণ্টায় ঘোরে = 360°/12 = 30°
∴ 10/3 ঘণ্টায় ঘোরে = 30 × 10/3 = 100°

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

∴ ঘড়ির কাঁটা দুটির মধ্যবর্তী কোণ = |120° - 100°| = 20°

৪৩.

In a certain code, WATER = 41253 and CROWD = 67840, how is TOWER coded in the language?

ক
28453
খ
24853
গ
28435
ঘ
48253

ব্যাখ্যা

Question: In a certain code, WATER = 41253 and CROWD = 67840, how is TOWER coded in the language?

Solution:
Given,
W A T E R
↓ ↓ ↓ ↓ ↓
4 1 2 5 3

and
C R O W D
↓ ↓ ↓ ↓ ↓
6 7 8 4 0

So
T O W E R
↓ ↓ ↓ ↓ ↓
2 8 4 5 3

৪৪.

P is bigger than J. S is bigger than M. R is not as big as S but is bigger than J. M is not as big as J. Which is the smallest?

ক
J
খ
M
গ
R
ঘ
S

ব্যাখ্যা

Question: P is bigger than J. S is bigger than M. R is not as big as S but is bigger than J. M is not as big as J. Which is the smallest?

Solution:
P is bigger the J. ⇒ P > J
S is bigger than M. ⇒ S > M
R is not as big as S but is bigger than J. ⇒ S > R > J
M is not as big as J. ⇒ J > M

∴ M is the smallest.

৪৫.

If wheel E rotates in the opposite direction of the clock's hands, which direction will wheel B rotate?

ক
It will remain stationary
খ
In the opposite direction of the clock's hands
গ
In the direction of the clock's hands
ঘ
None of these

ব্যাখ্যা

Question: If wheel E rotates in the opposite direction of the clock's hands, which direction will wheel B rotate?

Solution:
We know that when two wheels are connected by a crossed belt, they rotate in opposite directions.
And when two wheels are connected by a straight belt, both wheels rotate in the same direction.
When two wheels are directly connected, one will rotate in the opposite direction to the other.

In this case, If wheel E rotates opposite to the direction of the clock hands, wheel D will rotate in the direction of the clock hands.
If wheel D rotates in the direction of the clock hands, wheel C will rotate opposite to the direction of the clock hands.

Again, If wheel C rotates opposite to the direction of the clock hands, wheel B will rotate in the direction of the clock hands.
If wheel B rotates in the direction of the clock hands, wheel A will rotate in the direction of the clock hands.

৪৬.

A light was seen at intervals of 13 seconds. It was seen for the first time at 1 hr. 54 min 50 secs. a.m. and the last time at 3 hrs. 17 min. 49 secs. a.m. How many times was the light seen?

ক
360
খ
375
গ
378
ঘ
384
ঙ
None of these

ব্যাখ্যা

Question: A light was seen at intervals of 13 seconds. It was seen for the first time at 1 hr. 54 min 50 secs. a.m. and the last time at 3 hrs. 17 min. 49 secs. a.m. How many times was the light seen?

Solution:
Let us convert Initial time and Final time in seconds.
Intial time = 1hr 54min 50s = 1 × 60 × 60 + 54 × 60 + 50 = 3600 + 3240 + 50 = 6890 sec.
Final Time = 3hr 17min 49s = 3 × 60 × 60 + 17 × 60 + 49 = 10800 + 1020 + 49 = 11869 sec

Total Time interval for which light was seen
= 11869 - 6890 = 4979

Time interval at which light seen = 13 sec.
Therefore no. Of time light was seen = 4979/13 = 383

With the light seen first time no. Of time light was seen = 383 + 1 = 384

৪৭.

A ferry can carry 24 buses or 36 cars at a time. If there are 18 buses on the ferry, how many cars can be loaded onto it?

ক
6
খ
8
গ
9
ঘ
12

ব্যাখ্যা

Question: A ferry can carry 24 buses or 36 cars at a time. If there are 18 buses on the ferry, how many cars can be loaded onto it?

Solution:
Here,
24 buses = 36 cars
∴ 1 bus = 36/24 cars
∴ 18 buses = (36 × 18)/24 cars
= 27 cars

∴ Required number of cars = 36 - 27 = 9 cars

৪৮.

How many degrees are between the hands of a clock at 4 : 26?

ক
23°
খ
29°
গ
35°
ঘ
55°

ব্যাখ্যা

Question: How many degrees are between the hands of a clock at 4 : 26?

Solution:
Value of angle = {(11 × 26) - (60 × 4)}/2
= (286 - 240)/2
= 46/2
= 23°

৪৯.

Mina lives 3 km west of Lina's house. Rina lives 8 km north of Lina's house and 3 km west of Tina's house. What is the minimum distance from Mina's house to Tina's house?

ক
8 km
খ
12 km
গ
15 km
ঘ
10 km

ব্যাখ্যা

Question: Mina lives 3 km west of Lina's house. Rina lives 8 km north of Lina's house and 3 km west of Tina's house. What is the minimum distance from Mina's house to Tina's house?

Solution:

So, distance,
(ad)² = (cd + ce)² + (ae)²
⇒ (ad)² = (3 + 3)² + (8)²
⇒ (ad)² = 36 + 64
⇒ (ad)² = 100
∴ ad = 10

So the minimum distance from Mina's house to Tina's house = 10 km

৫০.

If A = 2, B = 4, C = 6, D = 8, E = 10 and so on, what is the meaning of following number 40, 18, 14, 10, 36

ক
RIVER
খ
TIGER
গ
FIGHT
ঘ
RIGHT

ব্যাখ্যা

Question: If A = 2, B = 4, C = 6, D = 8, E = 10 and so on, what is the meaning of following number 40, 18, 14, 10, 36

Solution:
Given,
A = 2, B = 4, C = 6, D = 8, E = 10.......

∴ Each code = Letter position × 2

So
40 ÷ 2 = 20 → T
18 ÷ 2 = 9 → I
14 ÷ 2 = 7 → G
10 ÷ 2 = 5 → E
36 ÷ 2 = 18 → R

the meaning of following number = TIGER

৫১.

Which number will complete the series 4, 25, 151, _ , 5443.

ক
1007
খ
807
গ
907
ঘ
707

ব্যাখ্যা

Question: Which number will complete the series 4, 25, 151, —, 5443.

Solution:
Given,
4
(4 × 6 + 1) = 25
(25 × 6 + 1) = 151
(151 × 6 + 1) = 907
(907 × 6 + 1) = 5443

৫২.

A certain sum of money consists of 30 coins some of which are 10 paisa coins and the rest are 5 paisa coins. If the total value of the coins is Tk. 2, what is the number of 10 paisa coins?

ক
10
খ
8
গ
15
ঘ
12
ঙ
None of these

ব্যাখ্যা

Question: A certain sum of money consists of 30 coins some of which are 10 paisa coins and the rest are 5 paisa coins. If the total value of the coins is Tk. 2, what is the number of 10 paisa coins?

Solution:
Let,
Number of 10 paisa coins be x
Number of 5 paisa coins 30 - x

ATQ,
x × 10 + (30 - x)5 = 200
⇒ 10x + 150 - 5x = 200
⇒ 5x = 50
∴ x = 10

৫৩.

In a certain code language, 'APPLE' is coded as '50', and 'BANANA' is coded as '33'. How will 'ORANGE' be coded in that code language?

ক
60
খ
74
গ
86
ঘ
54

ব্যাখ্যা

Question: In a certain code language, 'APPLE' is coded as '50', and 'BANANA' is coded as '33'. How will 'ORANGE' be coded in that code language?

Solution:

এখানে প্রতিটি অক্ষরের Alphabetical Position (A = 1, B = 2, …, Z = 26) যোগ করা হয়েছে।

APPLE = A(1) + P(16) + P(16) + L(12) + E(5)
= 1 + 16 + 16 + 12 + 5
= 50

BANANA = B(2) + A(1) + N(14) + A(1) + N(14) + A(1)
= 2 + 1 + 14 + 1 + 14 + 1
= 33

অতএব,
ORANGE = O(15) + R(18) + A(1) + N(14) + G(7) + E(5)
= 15 + 18 + 1 + 14 + 7 + 5
= 60

৫৪.

In a certain code 'TIME' is written as 'WLPH'. How would 'PEN' be written in that code?

ক
ক) SHR
খ
খ) QHQ
গ
গ) SPQ
ঘ
ঘ) SHQ

ব্যাখ্যা

Question: In a certain code 'TIME' is written as 'WLPH'. How would 'PEN' be written in that code?

Solution:
T এর পরের দুটি বর্ণ পরেরটি W
I এর পরের দুটি বর্ণ পরেরটি L
M এর পরের দুটি বর্ণ পরেরটি P
E এর পরের দুটি বর্ণ পরেরটি H

অনুরুপভাবে,
P এর পরের দুটি বর্ণ পরেরটি S
E এর পরের দুটি বর্ণ পরেরটি H
N এর পরের দুটি বর্ণ পরেরটি Q

৫৫.

Find out the wrong number in the series:
455, 445, 465, 435, 485, 415, 515, 455

ক
455
খ
465
গ
485
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 is - 10, - 20. So, the number 455 is wrong as it should be 415 - 30 = 385

৫৬.

Anika is taller than Bristi but shorter than Kabir. Rafi is shorter than Bristi. Shawon is taller than Anika but shorter than Kabir. Who is the tallest among them?

ক
Anika
খ
Shawon
গ
Rafi
ঘ
Kabir
ঙ
Bristi

ব্যাখ্যা

Question: Anika is taller than Bristi but shorter than Kabir. Rafi is shorter than Bristi. Shawon is taller than Anika but shorter than Kabir. Who is the tallest among them?

Solution:
From the first statement:
Kabir > Anika > Bristi

From the second statement:
Bristi > Rafi

From the third statement:
Kabir > Shawon > Anika

Putting everything together:
Kabir > Shawon > Anika > Bristi > Rafi

∴ Kabir is the tallest.

৫৭.

In a certain code, COMPUTER is written as RFUVQNPC. How is MEDICINE written in the same code?

ক
MFEDJJOE
খ
EOJDJEFM
গ
EOJDEJFM
ঘ
MFEJDJOE

ব্যাখ্যা

Question: In a certain code, COMPUTER is written as RFUVQNPC. How is MEDICINE written in the same code?

Solution:
COMPUTER শব্দটিকে উল্টিয়ে পাই, RETUPMOC
১ম ও শেষ অক্ষর পরিবর্তন না করে মাঝের অক্ষরগুলির পরের অক্ষর নিয়ে পাই, RFUVQNPC

MEDICINE শব্দটিকে উল্টিয়ে পাই, ENICIDEM
১ম ও শেষ অক্ষর পরিবর্তন না করে মাঝের অক্ষরগুলির পরের অক্ষর নিয়ে পাই, EOJDJEFM

৫৮.

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?

ক
18 km
খ
20 km
গ
24 km
ঘ
32 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.

৫৯.

Which letter is out of place in the following series?
I M L T N K O J

ক
ক) O
খ
খ) B
গ
গ) T
ঘ
ঘ) L

ব্যাখ্যা

Question: Which letter is out of place in the following series?
I M L T N K O J

Solution:
সিরিজটিতে লক্ষ্য করলে দেখা যায়, অক্ষরগুলো হচ্ছে I, J, K, L, M, N, O
অর্থাৎ, প্যাটার্ন যাই হোক না কেনো, অক্ষরগুলি ক্রমান্বয়ে আছে।
অতএব, চিত্রে T এর পরিবর্তে P বা H থাকা যুক্তিযুক্ত ছিল।

৬০.

An accurate clock shows 3:20 PM. How many degrees will the hour hand rotate from 3:20 PM to 11:50 PM on the same day?

ক
240°
খ
260°
গ
255°
ঘ
270°

ব্যাখ্যা

Question: An accurate clock shows 3:20 PM. How many degrees will the hour hand rotate from 3:20 PM to 11:50 PM on the same day?

Solution:
Given that,
From 3 : 20 PM to 11 : 20 PM = 8 hours
And from 11 : 20 PM to 11 : 50 PM = 30 minutes
∴ Total time = 8 hours 30 minutes

Now,
30 minutes = 30/60 = 0.5 hours
∴ Total time = 8 + 0.5 = 8.5 hours

We know,
The hour hand moves 360° in 12 hours.
∴ Speed of hour hand = 360°/12 = 30° per hour

∴ Degrees rotated by hour hand = 8.5 × 30° = 255°

So the hour hand will rotate 255°.

৬১.

A clock gains (moves ahead) 10 minutes each day. How many days will it take to reach a point where the clock will indicate the correct time?

ক
36 days
খ
56 days
গ
72 days
ঘ
84 days

ব্যাখ্যা

Question: A clock gains (moves ahead) 10 minutes each day. How many days will it take to reach a point where the clock will indicate the correct time?

Solution:
একটি ঘড়িকে পুনরায় সঠিক সময় দেখাতে হলে তাকে 12 ঘণ্টা সময় এগিয়ে যেতে হবে।
কারণ একটি 12 ঘণ্টার ঘড়িতে যখন সঠিক সময় থেকে 12 ঘণ্টা এগিয়ে যাবে, তখন এটি আবার সঠিক সময় নির্দেশ করবে।

12 ঘণ্টা = 12 × 60 মিনিট = 720 মিনিট

এখন, যেহেতু ঘড়িটি প্রতিদিন 10 মিনিট করে সময় এগিয়ে যায়,

10 মিনিট সময় এগিয়ে যায় 1 দিনে
∴ 720 মিনিট সময় এগিয়ে যাবে = (1/10) × 720 দিনে
= 72 দিনে

সুতরাং, 72 দিন পর ঘড়িটি আবার সঠিক সময় দেখাবে।

৬২.

Choose analogous pair.
Shrub : Prune

ক
Beard : Shave
খ
Hair : Trim
গ
Lawn : Mow
ঘ
Wool : Shear

ব্যাখ্যা

Question: Choose analogous pair.
Shrub : Prune

Solution:
Shrub - ঝোপঝাড়
Prune - ছাঁটাই

Beard - দাড়ি
Shave - মুণ্ডণ, চাঁচা

Hair - চুল
Trim - ছাঁটা

Lawn - বনভূমি
Mow - কাস্তে দ্বারা কাটা

Wool - পশম
Shear - ফাড়িয়া ফেলা

ঝোপঝাড় যেমন ছাঁটাই করে সুন্দর করে রাখা হয়, তেমনি চুল ও ছেঁটে সুন্দর রাখা হয়।

৬৩.

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?

ক
144°
খ
150°
গ
168°
ঘ
180°

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 in the morning to 2 o'clock in the afternoon = 6 hours

Angle traced by the hour hand in 6 hours = {(360/12) × 6}° = 180°

৬৪.

An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?

ক
120°
খ
150°
গ
172°
ঘ
180°

ব্যাখ্যা

Question: An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?

Solution:
From 8 o'clock to 20'clock total time is 6 hours.

Hours hand makes,
in 12 hours = 360° angle
in 6 hours = (360° × 6)/12
= 180°

৬৫.

SUNDAY, MONDAY, WEDNESDAY, SATURDAY, WEDNESDAY
Which day comes next?

ক
SUNDAY
খ
MONDAY
গ
WEDNESDAY
ঘ
SATURDAY

ব্যাখ্যা

Question: SUNDAY, MONDAY, WEDNESDAY, SATURDAY, WEDNESDAY
Which day comes next?

Solution:
SUNDAY
SUNDAY + 1 = MONDAY
MONDAY + 2 = WEDNESDAY
WEDNESDAY + 3 = SATURDAY
SATURDAY + 4 = WEDNESDAY
WEDNESDAY + 5 = MONDAY

৬৬.

Find the number that should be placed in the gap of the series : 80, 96, _______, 128

ক
88
খ
120
গ
112
ঘ
64

ব্যাখ্যা

Question: Find the number that should be placed in the gap of the series : 80, 96, _______, 128

Solution:
80 + 16 = 96
96 + 16 = 112
112 + 16 = 128

৬৭.

If debater A is in the team, which other debaters must be in the team as well?

ক
ক) X, Z and D
খ
খ) X, Y and B
গ
গ) X, Z and B
ঘ
ঘ) X, Z and C

ব্যাখ্যা

64-66): Answer the questions on the busis of the information given below
City High School must put together a debating team consisting of four debaters. There are candidates of equal ability: X, Y and Z who are all seniors; and A, B, C and D who are all juniors. The school requires that there should be two seniors and two juniors the team. It is also necessary that all of THE debaters be able to work with one another.
i) Debaters Y and A cannot work together.
ii) Debaters Z and C cannot work together.
iii) Debaters A and B cannot work together.

Question: If debater A is in the team, which other debaters must be in the team as well?

Solution:
X, Y, Z = সিনিয়র এবং সমান পারদর্শী।
A, B, C, D = জুনিয়র

৪ জনের টিমে, দুই জন সিনিয়র এবং ২ জন জুনিয়র থাকবে এবং
১) Y এবং A এক সাথে থাকতে পারবে না।
২) Z এবং C এক সাথে থাকতে পারবে না।
৩) A এবং B এক সাথে থাকতে পারবে না।

তাহলে A যদি টিমে থাকে বাকি সদস্য গুলো হবে,
সিনিয়র থাকবে X, Z
জুনিয়র থাকবে D

৬৮.

Which number replace the question mark-

ক
60
খ
54
গ
50
ঘ
46

ব্যাখ্যা

Question: Which number replace the question mark-

Solution:
In 1st figure:
6 + 5 + 4 + 3 = 18
⇒ 18 × 2 = 36

In 2nd figure:
9 + 5 + 5 + 3 = 22
⇒ 22 × 2 = 44

In 3rd figure:
6 + 5 + 9 + 5 = 25
⇒ 25 × 2 = 50

৬৯.

Which number should be placed in the question-marked position?

ক
480
খ
600
গ
720
ঘ
850

ব্যাখ্যা

Question: Which number should be placed in the question-marked position?

Solution:
By going in clockwise direction we find the following pattern,
5 × 1 = 5
5 × 2 = 10
10 × 3 = 30
30 × 4 = 120
120 × 5 = 600
600 × 6 = 3600
3600 × 7 = 25200

৭০.

OPH, QRI, STJ, ____, WXL.

ক
TUN
খ
UVK
গ
VWO
ঘ
UJI

ব্যাখ্যা

Question: OPH, QRI, STJ, ____, WXL.

Solution:
There are two alphabetical series here.
The first series is with the first letters only: OP, QR, ST, UV, WX.
The second series: H, I, J, K, L.

∴ Answer will be = UVK

৭১.

Find the missing number:

ক
2
খ
5
গ
7
ঘ
9

ব্যাখ্যা

Question: Find the missing number:

Solution:
We can see that,
The elements of the 3rd row are 8, 6, and a missing element.
8 is equal to the summation of 2 and 6.
6 is equal to the summation of 1 and 5.

∴ So the rest of the missing element is the summation of 3 and 4, which is 7.

৭২.

Find the odd number out
6, 9, 15, 21, 24, 28, 30

ক
21
খ
28
গ
30
ঘ
9

ব্যাখ্যা

Question: Find the odd number out
6, 9, 15, 21, 24, 28, 30

Solution:
6, 9, 15, 21, 24, 30 সবগুলো সংখ্যাই 3 দ্বারা বিভাজ্য।
28, 3 দ্বার বিভাজ্য নয়।

৭৩.

If a * b = 2a - 3b + ab, then (3 * 5) + (5 * 3) is equal to?

ক
22
খ
24
গ
26
ঘ
28

ব্যাখ্যা

Question: If a * b = 2a - 3b + ab, then (3 * 5) + (5 * 3) is equal to?

Solution:
a * b = 2a - 3b + ab
3 ∗ 5 = 2 × 3 - 3 × 5 + 3 × 5
= 6 - 15 + 15
= 6

5 ∗ 3 = 2 × 5 - 3 × 3 + 3 × 5
= 10 - 9 + 15
=16

∴ (3 * 5) + (5 * 3)
= 6 + 16
= 22

৭৪.

If the second-hand moves 480 times then how much space (in terms of degrees) will the minute hand move?

ক
48°
খ
80°
গ
60°
ঘ
None of these

ব্যাখ্যা

Question: If the second-hand moves 480 times then how much space (in terms of degrees) will the minute hand move?

Solution:
Second hand moves 480 times = 480/60 min = 8 min

In 60 min the minute hand moves 360°
∴ In 8 min the minute hand moves (360°/60) × 8
= 48°

৭৫.

If the sum of the 5th term and the 15th term of an arithmetic progression is 20. What is the sum of the first 19 terms of the progression?

ক
190
খ
195
গ
210
ঘ
205

ব্যাখ্যা

Question: If the sum of the 5th term and the 15th term of an arithmetic progression is 20. What is the sum of the first 19 terms of the progression?

Solution:
ধরি, সমান্তর ধারার প্রথম পদ a এবং সাধারণ অন্তর d
আমরা জানি,
সমান্তর ধারার, n তম পদ = a + (n - 1)d
এবং n তম পদের যোগফল: S_n = n/2[2a + (n - 1)d]

∴ 5 তম পদ = a + 4d
15 তম পদ = a + 14d

প্রশ্নমতে,
(a + 4d) + (a + 14d) = 20
⇒ 2a + 18d = 20

∴ প্রথম 19 পদের এর যোগফল:
S₁₉ = 19/2 [2a + 18d]
= 19/2 × 20
= 19 × 10
= 190

৭৬.

What will be the number in the question mark?
3, 7, 15, 27, 43, ?

ক
59
খ
61
গ
63
ঘ
71

ব্যাখ্যা

Question: What will be the number in the question mark?
3, 7, 15, 27, 43, ?

Solution:
প্রদত্ত ধারাটি হলো: 3, 7, 15, 27, 43, ?
ধারার সংখ্যাগুলোর মধ্যে পার্থক্য নির্ণয় করি:
7 - 3 = 4
15 - 7 = 8
27 - 15 = 12
43 - 27 = 16

এখানে, প্রতিবার পার্থক্য 4 করে বৃদ্ধি পাচ্ছে।
∴ পরবর্তী পার্থক্য হবে = 16 + 4 = 20
∴ পরবর্তী সংখ্যাটি হবে = 43 + 20 = 63

অতএব, প্রশ্নবোধক স্থানে 63 বসবে।

Shortcut: 3 (+4)→ 7 (+8)→ 15 (+12)→ 27 (+16)→ 43 (+20) → 63.

৭৭.

ক
40
খ
60
গ
100
ঘ
50

ব্যাখ্যা

Question:

Solution:

৭৮.

For what year will the calendar be the same as for the year 2009?

ক
2015
খ
2016
গ
2021
ঘ
2022

ব্যাখ্যা

Question: For what year will the calendar be the same as for the year 2009?

Solution:
For the year to have the same calendar as 2009 you need the sum of the number of odd days. When this sum is divisible by 7 than that year will have the same calendar as 2009.

Year : 2009, 2010, 2011, 2012, 2013, 2014
Odd day : 1, 1, 1, 2, 1, 1

Sum of odd days = 7 odd days [divisible by 7]

∴ Calendar for the year 2015 will be the same as for the year 2009.

৭৯.

What number will replace the '?' mark?
2, 4, 12, 48, 240, ?, 10080

ক
480
খ
560
গ
1200
ঘ
1440

ব্যাখ্যা

Question: What number will replace the '?' mark?
2, 4, 12, 48, 240, ?, 10080

Solution:
২য়, ৩য়, ৪র্থ, ৫ম, ৬ষ্ঠ সংখ্যাকে যথাক্রমে 2, 3, 4, 5, 6, 7 দ্বারা ক্রমান্বয়ে গুণ করা হয়েছে।
2 × 2 = 4
4 × 3 = 12
12 × 4 = 48
48 × 5 = 240
240 × 6 = 1440
1440 × 7 = 10080

৮০.

What is the next term in the sequence 4, 9, 6, 11, 8, 13 ...........?

ক
ক) 18
খ
খ) 16
গ
গ) 10
ঘ
ঘ) 9

ব্যাখ্যা

Question: What is the next term in the sequence 4, 9, 6, 11, 8, 13 ...........?

Solution:
এখানে ১ টি ধারা 4, 6, 8,...
অপরটি 9, 11, 13,...

প্রত্যেকটিই ধারাতেই ২ করে বাড়ছে।
পরের সংখ্যাটি হবে = 8 + 2
= 10

৮১.

Look at letter pattern and choose the correct option.
JAK, KBL, LCM, MDN, _____

ক
MEN
খ
PFQ
গ
OEP
ঘ
NEO

ব্যাখ্যা

Question: Look at letter pattern and choose the correct option.
JAK, KBL, LCM, MDN, _____

Solution:
শব্দাংশগুলির ১ম বর্ণগুলো J, K, L, M
শব্দাংশগুলির ২য় বর্ণগুলো A, B, C, D
শব্দাংশগুলির ৩য় বর্ণগুলো হল K, L, M, N

অর্থাৎ, বর্ণগুলো ক্রমানুসারে রয়েছে।

শুন্যস্থানে বসবে, NEO.

৮২.

The angle between the minute hand and the hour hand of a clock when the time is 4:20, is -

ক
5°
খ
8°
গ
10°
ঘ
15°

ব্যাখ্যা

Question: The angle between the minute hand and the hour hand of a clock when the time is 4:20, is -

Solution:
কোণ = ।11M - 60H।/2
= ।(11 × 20) - (60 × 4)।/2
= ।220 - 240। /2
= 10°

৮৩.

What will come at the place of the question mark?
1, 16, 81, 256, 625, ?

ক
1024
খ
1296
গ
1580
ঘ
1480

ব্যাখ্যা

Question: What will come at the place of the question mark?
1, 16, 81, 256, 625, ?

Solution:
1⁴=1
2⁴= 16
3⁴= 81
4⁴= 256
5⁴=625
6⁴ = 1296

৮৪.

Select an appropriate term that completes the series Lp F, Nq G, PrH, R s I, _____

ক
ক) m P m
খ
খ) T t J
গ
গ) t Tj
ঘ
ঘ) TTJ

ব্যাখ্যা

Select an appropriate term that completes the series Lp F, Nq G, PrH, R s I, _____

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

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

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

তাহলে খালি ঘরে অবশ্যই T t J

৮৫.

Find out the wrong number in the series:
3, 8, 15, 24, 34, 48, 63

ক
24
খ
34
গ
48
ঘ
63

ব্যাখ্যা

Question: Find out the wrong number in the series:
3, 8, 15, 24, 34, 48, 63

Solution:
8 - 3 = 5
15 - 8 = 7
24 - 15 = 9
35 - 24 = 11 [34* - 24 = 10]
48 - 35 = 13
63 - 48 = 15

The differences between consecutive terms are respectively 5, 7, 9, 11, 13 and 15.
So, 34 is the wrong number.

৮৬.

In a code PREMIER is written as XOILSIO, ANTAGONAISE is written as MQNMZBQMSWI, then how can PROMISE be written in the same code?

ক
XOBLSWI
খ
XOLBSWI
গ
XBOLSWI
ঘ
XOBLIWS

ব্যাখ্যা

Question: In a code PREMIER is written as XOILSIO, ANTAGONAISE is written as MQNMZBQMSWI, then how can PROMISE be written in the same code?

Solution:
PREMIER is written as XOILSIO
P ⇒ X
R ⇒ O
E ⇒ I
M ⇒ L
I ⇒ S
E ⇒ I
R ⇒ O

ANTAGONAISE is written as MQNMZBQMSWI
A ⇒ M
N ⇒ Q
T ⇒ N
A ⇒ M
G ⇒ Z
O ⇒ B
N ⇒ Q
A ⇒ M
I ⇒ S
S ⇒ W
E ⇒ I

PROMISE
P ⇒ X
R ⇒ O
O ⇒ B
M ⇒ L
I ⇒ S
S ⇒ W
E ⇒ I
∴ PROMISE is written as XOBLSWI.

৮৭.

What number should replace the question mark?

ক
18
খ
54
গ
67
ঘ
81

ব্যাখ্যা

Question: What number should replace the question mark?

Solution:
In the first figure:
(4 × 8) + 7 = 39

In the second figure:
(6 × 3) + 9 = 27

In the third figure:
(9 × 7) + 4 = 67

∴ The number is 67

৮৮.

How many times the hands of a clock coincide in a day?

ক
24
খ
23
গ
22
ঘ
21

ব্যাখ্যা

Question: How many times the hands of a clock coincide in a day?

Solution:
The hands of a clock coincide only once between 11 O'clock and 1 O'clock,
So in every 12 hours, the hands of a clock will coincide for 11 times.

∴ In a day or 24 hours, the hands of a clock will coincide for 22 (11 + 11) times.

৮৯.

In a certain code language, 'BACK' is coded as '89', 'LEGS' is coded as '63'. How will 'CHEST' be coded in that code language?

ক
75
খ
80
গ
72
ঘ
None of these
ঙ
78

ব্যাখ্যা

Question: In a certain code language, 'BACK' is coded as '89', 'LEGS' is coded as '63'. How will 'CHEST' be coded in that code language?

Solution:

Logic: Sum of reverse alphabetical values - 2 = Number.

Now, BACK
B = 25, A = 26, C = 24, K = 16
∴ BACK = 25 + 26 + 24 + 16
= 91
= 91 - 2
= 89

LEGS
L = 15, E = 22, G = 20, S = 8
∴ LEGS = 15 + 22 + 20 + 8
= 65
= 65 - 2
= 63

Now for CHEST
C = 24, H = 19, E = 22, S = 8, T = 7
∴ CHEST = 24 + 19 + 22 + 8 + 7
= 80
= 80 - 2
= 78

So the code for CHEST is 78.

৯০.

Monday : April : : Friday : ?

ক
ক) July
খ
খ) Saturday
গ
গ) August
ঘ
ঘ) Tuesday

ব্যাখ্যা

Fridays comes three days after Monday so three month after April will be August

৯১.

Rafiq is shorter than Sajid, but taller than Farah. Lina is shorter than Rafiq. Nasir is shorter than Sajid but taller than Rafiq. Who is the tallest in terms of height?

ক
Sajid
খ
Nasir
গ
Rafiq
ঘ
Lina

ব্যাখ্যা

Question: Rafiq is shorter than Sajid, but taller than Farah. Lina is shorter than Rafiq. Nasir is shorter than Sajid but taller than Rafiq. Who is the tallest in terms of height?

Solution:
Rafiq is shorter than Sajid, but taller than Farah.
∴ Sajid > Rafiq > Farah

Lina is shorter than Rafiq
∴ Rafiq > Lina

Nasir is shorter than Sajid but taller than Rafiq
∴ Sajid > Nasir > Rafiq
From all of these relational statement we can say that, Sajid is the tallest in terms of height.

৯২.

In a code SUMMER is written as RUNNER, WINTER is written as VIOUER, then how can SPRING be written in the same code?

ক
TPSGNG
খ
ENLTSO
গ
QORIMF
ঘ
RPSJNG

ব্যাখ্যা

Question: In a code SUMMER is written as RUNNER, WINTER is written as VIOUER, then how can SPRING be written in the same code?

Solution:
Given,
S U M M E R
↓(- 1) ↓(0) ↓(+ 1) ↓(+ 1) ↓(0) ↓(0)
R U N N E R

W I N T E R
↓(- 1) ↓(0) ↓(+ 1) ↓(+ 1) ↓(0) ↓(0)
V I O U E R

Similarly,

S P R I N G
↓(- 1) ↓(0) ↓(+ 1) ↓(+ 1) ↓(0) ↓(0)
R P S J N G

৯৩.

Which number will complete the series:
1, 3, 7, 15, 31, 63, 127, __?

ক
252
খ
254
গ
255
ঘ
257

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

৯৪.

Which number will complete the series:
3, 7, 15, 31, 63, ?

ক
117
খ
127
গ
89
ঘ
93

ব্যাখ্যা

Question: Which number will complete the series:
3, 7, 15, 31, 63, ?

Solution:
The pattern is alternate multiplication by 2 and adding 1:
n = 2n + 1, where n = 3, 7, 15, 31...

The pattern:
(2 × 3) + 1 = 6 + 1 = 7
(2 × 7) + 1 = 14 + 1 = 15
(2 × 15) + 1 = 30 + 1 = 31
(2 × 31) + 1 = 62 + 1 = 63

So, the missing term = (2 × 63) + 1 = 126 + 1 = 127.

৯৫.

Find the minimum number of straight lines required to make the given figure.

ক
15
খ
16
গ
17
ঘ
18
ঙ
None

ব্যাখ্যা

Question: Find the minimum number of straight lines required to make the given figure.

Solution:

The horizontal lines are = IK, AB, HG and DC= 4 in number
The vertical lines are = AD, EH, JM, FG and BC= 5 in number
The slanting lines are IE, JE, JF, KF, DE, DH, FC and GC = 8 in number.

Thus, there are 4 + 5 + 8 = 17 straight lines in the figure.

৯৬.

What word can be formed by arranging the letters of 'AENIPNOMU'?

ক
A name of a disease
খ
A name of an animal
গ
A name of a game
ঘ
A name of a sea

ব্যাখ্যা

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

Solution:
Given letters: A, E, N, I, P, N, O, M, U
By rearranging the letters 'AENIPNOMU', the name of a disease can be formed:
AENIPNOMU ⇒ PNEUMONIA

• PNEUMONIA is a serious respiratory disease that causes inflammation of the lungs, typically caused by bacterial or viral infection.

∴ The correct answer is — A name of a disease.

৯৭.

A monkey climbs a 12 meters-high slippery pillar. In his first minute, he climbs 2 meters, and in the next minute, he slip one meter down. In this way, how much time will he take to reach the top of the pillar?

ক
10 minutes
খ
12 minutes
গ
11 minutes
ঘ
21 minutes

ব্যাখ্যা

Question: A monkey climbs a 12 meters-high slippery pillar. In his first minute, he climbs 2 meters, and in the next minute, he slip one meter down. In this way, how much time will he take to reach the top of the pillar?

Solution:
On first minute monkey climb = 2 m
On the second minute it slips = 1 m
For every two minute, it climbs 1 m
So, average speed = 1 m/2 min For 10 m,
time is taken = 20 min

For the last 2 m jump add 1 min
So time taken = 20 + 1 = 21 min

∴ Monkey takes 21 minutes to reach the top of the pole.

৯৮.

ক
ক) X, Z, A and B
খ
খ) X, Z, D and B
গ
গ) X, Z, C and B
ঘ
ঘ) None of these

ব্যাখ্যা

(64-66): Answer the questions on the busis of the information given below:
City High School must put together a debating team consisting of four debaters. There are candidates of equal ability: X, Y and Z who are all seniors; and A, B, C and D who are all juniors. The school requires that there should be two seniors and two juniors the team. It is also necessary that all of the debaters be able to work with one another.
i) Debaters Y and A cannot work together.
ii) Debaters Z and C cannot work together.
iii) Debaters A and B cannot work together.
64.If debater B is selected and debater Y is rejected, the team will consist of which four?

Solution:
X, Y, Z = সিনিয়র এবং সমান পারদর্শী।
A, B, C, D = জুনিয়র

৪ জনের টিমে, দুই জন সিনিয়র এবং ২ জন জুনিয়র থাকবে এবং
১) Y এবং A এক সাথে থাকতে পারবে না।
২) Z এবং C এক সাথে থাকতে পারবে না।
৩) A এবং B এক সাথে থাকতে পারবে না।

তাহলে যদি B কে সিলেক্ট করে Y কে রিজেক্ট করা হয় তাহলে ৪ জনের টিমে থাকবে =
সিনিয়রদের মধ্যে থাকবে = X, Z
জুনিয়রদের মধ্যে থাকবে = B, D

৯৯.

If PALE is coded at 2134, EARTH is coded as 41590, then how can PEARL be coded in that language?

ক
24152
খ
24123
গ
24153
ঘ
10153

ব্যাখ্যা

Question: If PALE is coded at 2134, EARTH is coded as 41590, then how can PEARL be coded in that language?

Solution:
P → 2
A → 1
L → 3
E → 4

এবং
E → 4
A → 1
R → 5
T → 9
H → 0

PEARL → 24153

১০০.

Which one word cannot be formed from the letters of the word ''CHOREOGRAPHY"?

ক
ক) GEOGRAPHY
খ
খ) GRAPH
গ
গ) OGRE
ঘ
ঘ) PHOTOGRAPHY

ব্যাখ্যা

Question: Which one word cannot be formed from the letters of the word ''CHOREOGRAPHY"?

Solution:
CHOREOGRAPHY ওয়ার্ড টি তে T নেই তাই PHOTOGRAPHY ওয়ার্ড গঠন করা যবে না।