Analytical Ability

PrepBank · পাতা ৫ / ৭ · ৪০১–৫০০ / ৬৫৯

৪০১.

Which number replaces the question mark?

ক
6
খ
9
গ
8
ঘ
12

ব্যাখ্যা

Question: Which number replaces the question mark?

Solution:
Here, 6 - 4 = 2
9 - 6 = 3, 3 - 2 = 1
19 - 9 = 10, 10 - 3 = 7, 7 - 1 = 6

Correct answer is 6.

৪০২.

Rifat ranks 13th in the class of 33 students. There are 5 students below Sifat rankwise. How many students are there between Rifat and Sifat?

ক
ক) 12
খ
খ) 13
গ
গ) 14
ঘ
ঘ) 15

ব্যাখ্যা

Question: Rifat ranks 13th in the class of 33 students. There are 5 students below Sifat rankwise. How many students are there between Rifat and Sifat?

Solution:
মোট শিক্ষার্থী = ৩৩ জন
রিফাত তাদের মধ্যে ১৩তম

সিফাতের পিছনে ৫ জন আছে।
অর্থাৎ সিফাত শেষ থেকে ৬ষ্ঠ।

তাই, রিফাত ও সিফাতের মধ্যে আছে = ৩৩ - (১৩ + ৬) = ১৪

৪০৩.

Which of the following numbers will replace the question mark (?) in the given series?
?, 11, 35, 107, 323

ক
3
খ
4
গ
5
ঘ
8

ব্যাখ্যা

Question: Which of the following numbers will replace the question mark (?) in the given series?
?, 11, 35, 107, 323

Solution:
?, 11, 35, 107, 323

(11 × 3) + 2 = 33 + 2 = 35
(35 × 3) + 2 = 105 + 2 = 107
(107 × 3) + 2 = 321 + 2 = 323

∴ (? × 3) + 2 = 11
⇒ ? × 3 = 9
∴ ? = 3

৪০৪.

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

ক
352293
খ
293522
গ
381191
ঘ
130429

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

৪০৫.

If TOUR is written in a certain code as 1234, CLEAR as 56784 and SPARE as 90847, what will be the 5th digit for SCULPTURE in the same code?

ক
3
খ
4
গ
0
ঘ
6

ব্যাখ্যা

Question: If TOUR is written in a certain code as 1234, CLEAR as 56784 and SPARE as 90847, what will be the 5th digit for SCULPTURE in the same code?

Solution:
T - 1
O - 2
U - 3
R - 4
C - 5
L - 6
E - 7
A - 8
S - 9
P - 0

5th digit of SCULPTURE - 0

৪০৬.

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

৪০৭.

What is the reflex angle between the hands of a clock at 9.20?

ক
125°
খ
150°
গ
180°
ঘ
200°
ঙ
None of them

ব্যাখ্যা

Question: What is the reflex angle between the hands of a clock at 9.20?

Solution:

The angle between the hands of the clock is |11M - 60H|°/2
= |(11 × 20) - (60 × 9)|°/2
= |220 - 540|°/2
= |- 320|°/2
= 160°

∴ Reflex angle = 360° - 160°
= 200°

৪০৮.

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

ক
47
খ
50
গ
48
ঘ
24

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.

৪০৯.

A is the widow of B. B & C were the only children of E. C is unmarried and is a doctor. D is the grand-daughter of E and studies science. How is A related to D?

ক
aunt
খ
daughter
গ
mother
ঘ
sister

ব্যাখ্যা

Question: A is the widow of B. B & C were the only children of E. C is unmarried and is a doctor. D is the grand-daughter of E and studies science. How is A related to D?

Solution:
A is the widow of B ⇒ A's husband was B.

B & C were the only children of E ⇒ A is the daughter in law of E.

D is the grand-daughter of E ⇒ D is daughter of A [D can not be daughter of C because C is unmarried]

So, A is the mother of D.

৪১০.

A student loses 1 mark for every wrong answer and scores 2 marks for every correct answer. If he answers all the 60 questions in an exam and scores 39 marks, how many of them were correct?

ক
27
খ
31
গ
33
ঘ
37

ব্যাখ্যা

Question: A student loses 1 mark for every wrong answer and scores 2 marks for every correct answer. If he answers all the 60 questions in an exam and scores 39 marks, how many of them were correct?

Solution:
ধরি,
মোট ভুল উত্তর = ক টি
প্রতিটি সঠিক উত্তরের জন্য প্রকৃতপক্ষে কাঁটা যায় = (২ + ১) = ৩ নম্বর।

প্রশ্নমতে,
(২ × ৬০) - ৩ক = ৩৯
৩ক = ১২০ - ৩৯
৩ক = ৮১
ক = ২৭

∴ সঠিক উত্তর = (৬০ - ২৭) = ৩৩ টি

৪১১.

Quantity A = 0.012/3 and Quantity B = 4/100.

ক
Quantity A greater
খ
Quantity A equals Quantity B
গ
Quantity B is greater
ঘ
Relationship indeterminate

ব্যাখ্যা

Question: Quantity A = 0.012/3 and Quantity B = 4/100

Solution:
Quantity A = 0.012/3
= 12/(3 × 1000)
= 4/1000
= 0.004

Quantity B = 4/100
= 0.04

∴ Quantity B > Quantity A

৪১২.

Students of a class stand in a queue. If Parimal is 21th in order from both ends, how many students are there in the queue?

ক
42
খ
41
গ
40
ঘ
43

ব্যাখ্যা

Question: Students of a class stand in a queue. If Parimal is 21th in order from both ends, how many students are there in the queue?

Solution:
এক দিক থেকে পরিমলের অবস্থান ২১ তম অর্থাৎ সে সহ ২১ জন। অপর দিক থেকে তার অবস্থান ২১ তম অর্থাৎ সে বাদে আরও ২০ জন আছে।
∴ ঐ সারিতে মোট ছাত্র আছে (২১ + ২০) জন = ৪১ জন

৪১৩.

Thermometer : Temperature

ক
ক) Millimeter : Scale
খ
খ) Length : Breadth
গ
গ) Solar Energy : Sun
ঘ
ঘ) Cardiograph : Heart rate

ব্যাখ্যা

As temperature is measured from a thermometer in the same way heart rate is measured with cardiograph.

৪১৪.

On February 12, 2002, it was Tuesday. The day of the week on February 12, 2001, was-

ক
Wednesday
খ
Saturday
গ
Sunday
ঘ
Monday

ব্যাখ্যা

Question: On February 12, 2002, it was Tuesday. The day of the week on February 12, 2001, was-

Solution:
2001 was an ordinary year, it had 1 odd day.

So, the day on February 12, 2002, would be one day beyond the day on February 12, 2001.

∴ Tuesday on February 12, 2002, would be one day beyond the day on February 12, 2001.

So the day on February 12, 2001, was Monday.

৪১৫.

Fahim is younger than Nabila but older than Ritu. Shanti is older than Fahim. Nabila is the second-oldest person among them. Labib is younger than Ritu. Who is the third-oldest among them?

ক
Ritu
খ
Shanti
গ
Fahim
ঘ
Labib

ব্যাখ্যা

Question: Fahim is younger than Nabila but older than Ritu. Shanti is older than Fahim. Nabila is the second-oldest person among them. Labib is younger than Ritu. Who is the third-oldest among them?

Solution:
• First statement: Nabila > Fahim > Ritu
• Second statement: Shanti > Fahim
• Third statement: Nabila is the second oldest, meaning one person is older than Nabila.
Since both Shanti and Nabila are older than Fahim, and Nabila is the second-oldest, Shanti must be the oldest. Therefore, Shanti > Nabila > Fahim
• Fourth statement: Ritu > Labib

• Putting everyone together: Shanti > Nabila > Fahim > Ritu > Labib
∴ The third-oldest person is Fahim.

৪১৬.

What will come at the place of question mark?
4, 9, 19, 34, 54, ?

ক
69
খ
74
গ
79
ঘ
84

ব্যাখ্যা

Question: What will come at the place of question mark?
4, 9, 19, 34, 54, ?

Solution:
9 - 4 = 5
19 - 9 = 10
34 - 19 = 15
54 - 34 = 20

∴ প্রতিবার পার্থক্য 5 করে বৃদ্ধি পাচ্ছে।

∴ পরবর্তী পার্থক্য হবে = 20 + 5 = 25

∴ পরবর্তী সংখ্যা = 54 + 25 = 79

• Shortcut: 4 (+5)→ 9 (+10)→ 19 (+15)→ 34 (+20)→ 54 (+25) → 79.

৪১৭.

If A = 2, B = 4, C = 6, D = 8 and so on, what is the meaning of following number 36, 30, 38, 10

ক
BEEF
খ
BEST
গ
FACE
ঘ
ROSE

ব্যাখ্যা

Question: If A = 2, B = 4, C = 6, D = 8 and so on, what is the meaning of following number 36, 30, 38, 10

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

∴ Each code = Letter position × 2

So
36 ÷ 2 = 18 → R
30 ÷ 2 = 15 → O
38 ÷ 2 = 19 → S
10 ÷ 2 = 5 → E

the meaning of following number = ROSE

৪১৮.

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

ক
5°
খ
7.5°
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°

৪১৯.

Today is Friday. What day will it be after 352 days?

ক
Wednesday
খ
Sunday
গ
Monday
ঘ
Tuesday

ব্যাখ্যা

Question: Today is Friday. What day will it be after 352 days?

Solution:
এখানে,
৩৫২ কে ৭ দিয়ে ভাগ করলে ভাগশেষ থাকে ২।
৩৫২ দিন থেকে ২ দিন বাদ দিলে হয় ৩৫০ দিন।

আমরা জানি,
যে কোনো তারিখ হতে ৭ দিন পর পর (৮ম দিনে) একই বার পাওয়া যায়।
অর্থ্যাৎ, শুক্রবারের ৭ দিন পর বা ৮ম দিনে গিয়ে আবার শুক্রবার পাওয়া যাবে।

অর্থাৎ,
৩৫১ তম দিন শুক্রবার।
৩৫২ তম দিন শনিবার
৩৫৩ তম দিন রবিবার

৪২০.

How will the word "ANALOGY" appear in a mirror?

ক
A
খ
B
গ
C
ঘ
D

ব্যাখ্যা

Question: How will the word "ANALOGY" appear in a mirror?

Solution:
The mirror reflection of the word "ANALOGY" is:

৪২১.

A person walks 7 meters towards east, 4 meters towards north, then 4 meters towards west. What is the direct distance of the destination from the starting point?

ক
8 meters
খ
5 meters
গ
13 meters
ঘ
7√2 meters

ব্যাখ্যা

Question: A person walks 7 meters towards east, 4 meters towards north, then 4 meters towards west. What is the direct distance of the destination from the starting point?

Solution:

ধরি, যাত্রা শুরু করার স্থান A এবং গন্তব্যের স্থান B।
সরাসরি দূরত্ব নির্ণয় করতে, আমরা পিথাগোরাসের উপপাদ্য ব্যবহার করব।
এখানে, অতিক্রান্ত মোট উল্লম্ব দূরত্ব (উত্তর দিকে) হলো 4 মিটার।
এবং অতিক্রান্ত মোট অনুভূমিক দূরত্ব (পূর্ব ও পশ্চিমের পার্থক্য) হলো (7 - 4) = 3 মিটার।

সুতরাং,
AB² = (মোট অনুভূমিক দূরত্ব)² + (মোট উল্লম্ব দূরত্ব)²[অতিভুজ² = ভূমি² + লম্ব²]
⇒ AB² = (3)² + (4)²
⇒ AB² = 9 + 16
⇒ AB² = 25
⇒ AB = 5 মিটার

∴ সরাসরি দূরত্ব 5 মিটার।

৪২২.

What will come at the place of question mark ?
6, 13, 28, 59, ?, 249.

ক
132
খ
120
গ
122
ঘ
144

ব্যাখ্যা

Question: What will come at the place of question mark ?
6, 13, 28, 59, ?, 249.

Solution:
First term ⇒ 6
Second term ⇒ (6 × 2 + 1) = 13
Third term ⇒ (13 × 2 + 2) = 28
Fourth term ⇒ (28 × 2 + 3) = 59
Fifth term ⇒ (59 × 2 + 4) = 122
Sixth term ⇒ (122 × 2 + 5) = 249

So, the required term = 122.

৪২৩.

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

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 = 11869sec

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

৪২৪.

Raitul walked 25 metres towards South. Then he turned to his left and walked 20 metres. He then turned to his left and walked 25 metres. He again turned to his right and walked 15 metres. At what distance is he from the starting point and in which direction?

ক
35 metres North
খ
35 metres East
গ
40 metres East
ঘ
60 metres East

ব্যাখ্যা

Question: Raitul walked 25 metres towards South. Then he turned to his left and walked 20 metres. He then turned to his left and walked 25 metres. He again turned to his right and walked 15 metres. At what distance is he from the starting point and in which direction?

Solution:

The movements of Raitul are as shown in figure.
Raitul's distance from starting point A to end point E = AE = (AD + DE) = (BC + DE) = (20 + 15) m = 35 m.
Also, E is to the East of A.

৪২৫.

What is the reflex angle between the hands of a clock at 10.30?

ক
- 135°
খ
135°
গ
- 225°
ঘ
225°

ব্যাখ্যা

Question: What is the reflex angle between the hands of a clock at 10.30?

Solution:
We Know,
The angle between the hands of the clock is |11M - 60H|/2
= |(11 × 30) - (60 × 10)|/2
= |330 - 600|/2
= |- 270|/2
= 135°

∴ Reflex angle = 360° - 135°
= 225°

৪২৬.

If the clock in the mirror shows 7:25, what is the time on the real clock?

ক
3:35
খ
4:35
গ
5:25
ঘ
6:25

ব্যাখ্যা

Question: If the clock in the mirror shows 7:25, what is the time on the real clock?

Solution:
Actual time = 11:60 - time in the mirror
= 11:60 - 7:25
= 4:35

৪২৭.

Find the odd man out.
2, 5, 10, 17, 26, 37, 50, 64

ক
50
খ
37
গ
26
ঘ
64

ব্যাখ্যা

Question: Find the odd man out.
2, 5, 10, 17, 26, 37, 50, 64

Solution:

2, 5, 10, 17, 26, 37, 50, 64
(1 × 1) + 1, (2 × 2) + 1, (3 × 3) + 1, (4 × 4) + 1, (5 × 5) + 1, (6 × 6) + 1, (7 × 7) + 1, (8 × 8) + 1

∴ 64 is out of pattern.

৪২৮.

If LOSS = 1355 and GAIN = 2468 then 84615 =?

ক
ক) GAILS
খ
খ) LAINS
গ
গ) NAILS
ঘ
ঘ) SAINT

ব্যাখ্যা

Question: If LOSS = 1355 and GAIN = 2468 then 84615 =?

Solution:
LOSS = 1355, GAIN = 2468
∴ 84615 = NAILS

৪২৯.

If 6th March, 2010 is Saturday, what was the day of the week on 6th March, 2008?

ক
Wednesday
খ
Thursday
গ
Friday
ঘ
Saturday

ব্যাখ্যা

Question: If 6th March, 2010 is Saturday, what was the day of the week on 6th March, 2008?

Solution:
From 6 March 2008 to 6 March 2009
⋅Although 2008 is a leap year, 29 February 2008 is before 6th March, so that extra day does not fall in this interval.
So this interval has 365 days → 1 odd day.
From 6 March 2009 to 6 March 2010
⋅ 2009 is a normal year → 365 days → 1 odd day.

Total odd days between 6th March 2008 and 6th March 2010
= 1 + 1 odd days
= 2 odd days.

Given,
6th March 2010 is Saturday
∴ 2 days before Saturday is Thursday.

So, 6th March 2008 was Thursday.

৪৩০.

M is older than N but younger than O. If m, n and o are the ages of M, N and O respectively, then which of the following is true?

ক
n < m < o
খ
m < n < o
গ
o < m < n
ঘ
o < n < m

ব্যাখ্যা

Question: M is older than N but younger than O. If m, n and o are the ages of M, N and O respectively, then which of the following is true?

Solution:
M এর বয়স m বছর
N এর বয়স n বছর
O এর বয়স o বছর

M, N এর চেয়ে বড় এবং O এর চেয়ে ছোট।
অতএব, n < m < o

৪৩১.

What is the angle between the hour and minute hands of a clock when it is 20 minutes past 4?

ক
10°
খ
7.5°
গ
8°
ঘ
12.5°

ব্যাখ্যা

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

Solution:
20 minutes past 4 অর্থাৎ, 4 টা 20 মিনিট।
= 4 + (20/60) ঘন্টা
= 4 + (1/3) ঘন্টা
= 13/3 ঘন্টা

আমরা জানি,
ঘণ্টার কাঁটা 12 ঘণ্টায় 360° ঘোরে।
∴ 1 ঘণ্টায় ঘোরে = 360°/12 = 30°
∴ 13/3 ঘন্টায় 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°

৪৩২.

2, 3, 6, 9, 18, ......, 54 What is the missing number in the series?

ক
36
খ
30
গ
27
ঘ
21

ব্যাখ্যা

Question: 2, 3, 6, 9, 18, ......, 54 What is the missing number in the series?

Solution:
There are two separate series

1st one for even number
2
2 × 3 = 6
6 × 3 = 18
18 × 3 = 54

2nd one for odd number
3
3 × 3 = 9
9 × 3 = 27

So the missing number = 27

৪৩৩.

A project has 3 test cases. Three teams are formed to study the 3 different test cases. Mr. X is assigned to all three teams. Except for Mr. X, each member is assigned to exactly one team. If each team has exactly 6 members, then what is the exact number of members required?

ক
ক) 16
খ
খ) 12
গ
গ) 14
ঘ
ঘ) 15

ব্যাখ্যা

Question: A project has 3 test cases. Three teams are formed to study the 3 different test cases. Mr. X is assigned to all three teams. Except for Mr. X, each member is assigned to exactly one team. If each team has exactly 6 members, then what is the exact number of members required?

Solution:
একটি প্রজেক্টে ৩ টি কেস আছে।
৩ টি কেস অধ্যয়ন করার জন্য ৩ টি টিম গঠন করা হয়েছে।

Mr.X প্রতিটি টিমেই আছে। বাকি প্রতি সদস্যের টিম আলাদা।
প্রতি টিমে ৬ জন সদস্য আছে।
অর্থাৎ, প্রতি টিমে Mr.X ছাড়া সদস্য আছে = ৬ - ১ জন
= ৫ জন

∴ মোট সদস্যের প্রয়োজন = (৫ × ৩) + ১ জন
= ১৫ + ১ জন
= ১৬ জন

৪৩৪.

What is the measure of the angle formed by the hands of the clock at 2'o clock?

ক
30º
খ
60º
গ
45º
ঘ
90º

ব্যাখ্যা

Question: What is the measure of the angle formed by the hands of the clock at 2'o clock?

Solution:
Angle = |(11M - 60H)°/2|
= |(11 × 0 - 60 × 2)°/2|
= |(- 120)°/2|
= | - 60°|
= 60°

৪৩৫.

At 3:15 on a clock, what is the angle between the hour and the minute hands?

ক
6 degrees
খ
7.5 degrees
গ
30 degrees
ঘ
22 degrees

ব্যাখ্যা

Question: At 3:15 on a clock, what is the angle between the hour and the minute hands?

Solution:
Given:
The hour hand time = 3
The minute hand time = 15

We know,
The angle between the hour hand and minute hand is given by:
= {(60 × hour) − (11 × minute)} / 2
= {(60 ×3) − (11 × 15)} / 2
= 180 - 165 / 2
= 15/2
= 7.5

Therefore, the angle between the hour hand and minute hand is 7.5 degrees.

৪৩৬.

Find the missing number: 2, 20, 56, 110,?

ক
160
খ
166
গ
182
ঘ
190

ব্যাখ্যা

Question: Find the missing number: 2, 20, 56, 110,?

Solution:
20 - 2 = 18
56 - 20 = 36 = 18 × 2
110 - 56 = 54 = 18 × 3

missing number = 110 + 18 × 4
= 182

৪৩৭.

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

ক
55
খ
63
গ
67
ঘ
72

ব্যাখ্যা

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

সমাধান:
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

৪৩৮.

A clock shows 7 O’clock in the morning. By how much angle will the hour’s hand rotate when the clock shows 9 O’clock in the morning?

ক
90°
খ
45°
গ
30°
ঘ
60°
ঙ
None

ব্যাখ্যা

Question: A clock shows 7 O’clock in the morning. By how much angle will the hour’s hand rotate when the clock shows 9 O’clock in the morning?

Solution:
We know,
The hour hand takes 12 hours to rotate 360°
The difference of time = 9 O'clock - 7 O'clock = 2 hours

Now,
in 12 hours the hour hand rotates 360°
In 1 hour the hour hand rotates = (360/12)°
In 2 hours the hour hand rotates = 30° × 2 = 60°

৪৩৯.

In a certain code FIRE is coded as DGPC. What will be the last letter of the coded word for SHOT.

ক
P
খ
R
গ
S
ঘ
Q

ব্যাখ্যা

Question: In a certain code FIRE is coded as DGPC. What will be the last letter of the coded word for SHOT.

Solution:
F এর ১ বর্ণ আগের বর্ণ D
I এর ১ বর্ণ আগের বর্ণ G
R এর ১ বর্ণ আগের বর্ণ P
E এর ১ বর্ণ আগের বর্ণ C

অতএব, SHOT কোডিং করলে শেষ বর্ণ T এর এক বর্ণ আগের বর্ণ R

৪৪০.

In a row of trees, a tree is 9th from the left end and 17th from the right end. How many trees are there in the row?

ক
26
খ
22
গ
23
ঘ
25

ব্যাখ্যা

Question: In a row of trees, a tree is 9th from the left end and 17th from the right end. How many trees are there in the row?

Solution:
number of trees = 9 + 17 - 1
= 25

৪৪১.

In the series 1, 3, 4, 8, 15, 27, ... what will be the next number?

ক
38
খ
42
গ
50
ঘ
60

ব্যাখ্যা

Question: In the series 1, 3, 4, 8, 15, 27, ... what will be the next number?

Solution:
Here,
1 + 3 + 4 = 8
3 + 4 + 8 = 15
8 + 15 + 27 = 50

So, the sum of any three consecutive numbers of the series gives the next number.
Hence, missing number = 8 + 15 + 27
= 50

৪৪২.

13, 25, 51, 101, 203, ?

ক
306
খ
344
গ
405
ঘ
406

ব্যাখ্যা

Question: 13, 25, 51, 101, 203, ?

Solution:
Here,
Two series exist:
1st: 13, 51, 203
2nd: 25, 101, ?

1st:
13
13 × 4 - 1 = 52 - 1 = 51
51 × 4 - 1 = 204 - 1 = 203

2nd:
25
25 × 4 + 1 = 100 + 1 = 101
101 × 4 + 1 = 404 + 1 = 405

৪৪৩.

A is the widow of B. B & C were the only children of E. C is unmarried and is a doctor. D is the grand-daughter of E and studies science. How is A related to D?

ক
ক) aunt
খ
খ) daughter
গ
গ) sister
ঘ
ঘ) sister-in-law
ঙ
ঙ) None of these

ব্যাখ্যা

৪৪৪.

In a certain code, BRUSH = 49062 and FLAME = 75831. How is BLARE coded in the language?

ক
47384
খ
74318
গ
46318
ঘ
45891

ব্যাখ্যা

Question: In a certain code, BRUSH = 49062 and FLAME = 75831. How is BLARE coded in the language?

Solution:
Given,
B R U S H
↓ ↓ ↓ ↓ ↓
4 9 0 6 2

And,
F L A M E
↓ ↓ ↓ ↓ ↓
7 5 8 3 1

Therefore,
B L A R E
↓ ↓ ↓ ↓ ↓
4 5 8 9 1

∴ BLARE = 45891

৪৪৫.

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

ক
Tuesday
খ
Saturday
গ
Monday
ঘ
Friday

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.

৪৪৬.

Find out the missing number on the series:

ক
1/√2
খ
√2
গ
2
ঘ
1

ব্যাখ্যা

Question:
Find out the missing number on the series:

Solution:
এখানে ধারাটির প্রতিটি পদ √2 গুণ আকারে বাড়ছে।
তাই ধারাটি হবে, 1/(2√2), 1/2, 1/√2, 1, √2, 2, 2√2

∴ মিসিং পদটি হবে = 1

৪৪৭.

What will come at the place of the question mark?
2, 3, 4, 9, 16, 29, ?

ক
45
খ
54
গ
60
ঘ
65

ব্যাখ্যা

Question: What will come at the place of the question mark?
2, 3, 4, 9, 16, 29, ?

Solution:
The sum of any three consecutive terms of the series gives the next term.
so, missing number = 9 + 16 + 29 = 54

৪৪৮.

What is the correct number in the third circle?

ক
1
খ
2
গ
4
ঘ
6

ব্যাখ্যা

Question: What is the correct number in the third circle?

Solution:
First circle: 56 ÷ 7 = 8 , 63 ÷ 9 = 7 ∴ 8 - 7 = 1
Second circle: 56 ÷ 8 = 7, 42 ÷ 7 = 6 ∴ 7 - 6 = 1

Third circle: 72 ÷ 9 = 8 , 42 ÷ 7 = 6 ∴ 8 - 6 = 2

৪৪৯.

Find out the wrong number in the series: 190, 166, 145, 128, 112, 100, 91

ক
100
খ
128
গ
145
ঘ
112

ব্যাখ্যা

Question: Find out the wrong number in the series: 190, 166, 145, 128, 112, 100, 91

Solution:
190, 166, 145, 128, 112, 100, 91
এখানে,
190 - 166 = 24
166 - 145 = 21
145 - 128 = 17
128 - 112 = 16
112 - 100 = 12
100 - 91 = 9

প্রতিটি পদের পার্থক্যে 3 করে হ্রাস পাচ্ছে।
কিন্তু, 145 - 128 = 17
128 - 112 = 16
এর পার্থক্য হতে দেখা যায় যে, 3 করে হ্রাস পাচ্ছে না।
128 এর স্থলে 127 হলে ক্রমটি সঠিক থাকে।

তাই, 128 এর স্থরে 127 হবে।
সিরিজের ভুল সংখ্যাটি 128

৪৫০.

Four girls are sitting on a bench to be photographed. Seema is to the left of Rani. Mary is to the right of Rani. Rita is between Rani and Mary. Who would be second from the left in the photograph?

ক
ক) Rani
খ
খ) Seema
গ
গ) Mary
ঘ
ঘ) Rita

ব্যাখ্যা

Question: Four girls are sitting on a bench to be photographed. Seema is to the left of Rani. Mary is to the right of Rani. Rita is between Rani and Mary. Who would be second from the left in the photograph?

Solution:
Seema is to the left of Rani.
Seema ⇔ Rani

Mary is to the right of Rani.
Rani ⇔ Mary

Rita is between Rani and Mary.
Rani ⇔ Rita ⇔ Mary

∴ Seema ⇔ Rani ⇔ Rita ⇔ Mary.

Rani would be second from the left in the photograph.

৪৫১.

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

ক
1
খ
12
গ
15
ঘ
11

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

৪৫২.

A triangle has a perimeter 13. The two shorter side, have integer lengths equal to x and x + 1. Which of the following could be the length of the other side.

ক
2
খ
6
গ
8
ঘ
None

ব্যাখ্যা

Question: A triangle has a perimeter 13. The two shorter side, have integer lengths equal to x and x + 1. Which of the following could be the length of the other side.

Solution:
The shorter sides have integer lengths equal to x and x + 1
Let the longest side be 'a'
∴ a + x + (x + 1) = 13
⇒ a + 2x = 12 .......(1)

We know that the sum of the lengths of the shorter sides has to be more than the length of the longer one
Looking at the options, we can't have 8 or 10 as values for 'a'

Similarly, we can't have 2 as values for 'a' as it wouldn't be the longest side then.

So, the correct length of other side is 6

৪৫৩.

January 2, 2007 was Tuesday. What will be the day on January 2, 2008?

ক
Monday
খ
Tuesday
গ
Wednesday
ঘ
Thursday

ব্যাখ্যা

Question: January 2, 2007 was Tuesday. What will be the day on January 2, 2008?

Solution:
January 2, 2007 was Tuesday
∴ January 1, 2007 was Monday

2007 is not a leap year so the last day of the year is as same as first day.
∴ December 31, 2007 will be Monday.

January 1, 2008 will be Tuesday
January 2, 2008 will be Wednesday.

৪৫৪.

In the morning, Mr. Parimal was standing facing a pole. The shadow of the pole fell on his right side. What direction was Mr. Parimal facing?

ক
East
খ
West
গ
North
ঘ
South

ব্যাখ্যা

Question: In the morning, Mr. Parimal was standing facing a pole. The shadow of the pole fell on his right side. What direction was Mr. Parimal facing?

Solution:
In morning, the sun rises in east. And the shadow of the pole fell on his right side. So the right side of Mr. Parimal is west.
As his left side is east and right side is west so he is facing toward south.

৪৫৫.

Find the odd man out.
396, 462, 572, 427, 671, 264

ক
396
খ
427
গ
671
ঘ
264

ব্যাখ্যা

Question: Find the odd man out.
396, 462, 572, 427, 671, 264

Solution:
In each number except 427, the middle digit is the sum of other two.

৪৫৬.

Today is Friday. After 58 days, it will be:

ক
Sunday
খ
Tuesday
গ
Wednesday
ঘ
Saturday

ব্যাখ্যা

Question: Today is Friday. After 58 days, it will be:

Solution:
আমরা জানি যে সপ্তাহের প্রতিটি দিন 7 দিন পর পুনরাবৃত্তি হয়।
58 ÷ 7 = 8 (ভাগশেষ 2)
অর্থাৎ, (7 × 8) = 56 দিন পর আবার শুক্রবার হবে।
∴ 58 দিন পর হবে (শুক্রবার + 2 দিন) = রবিবার।

৪৫৭.

A man travels 6 miles towards west, 3 miles towards south, then again 4 miles towards west. What is the direct distance of destination from the starting point?

ক
√104 miles
খ
√109 miles
গ
√113 miles
ঘ
√117 miles

ব্যাখ্যা

Question: A man travels 6 miles towards west, 3 miles towards south, then again 4 miles towards west. What is the direct distance of destination from the starting point?

সমাধান:

ধরি, যাত্রা শুরু করার স্থান A এবং গন্তব্যের স্থান B।
সরাসরি দূরত্ব নির্ণয় করতে, আমরা পিথাগোরাসের উপপাদ্য ব্যবহার করব।
এখানে, অতিক্রান্ত মোট উল্লম্ব দূরত্ব হলো 3 মাইল
এবং অতিক্রান্ত মোট অনুভূমিক দূরত্ব হলো (6 + 4) = 10 মাইল।
সুতরাং,
AB² = (3)² + (6 + 4)²
⇒ AB² = 3² + 10²
⇒ AB² = 9 + 100
⇒ AB² = 109
⇒ AB = √109 miles
∴ সরাসরি দূরত্ব √109 মাইল।

৪৫৮.

and

, then what is the value of

ক
2
খ
4
গ
8
ঘ
6

ব্যাখ্যা

Question: If

and

, then what is the value of

?

Solution:
Given that,

⇒

৪৫৯.

Which number will complete the series:
6, 13, 25, 51, 101, ?

ক
50
খ
201
গ
202
ঘ
203

ব্যাখ্যা

Question: Which number will complete the series:
6, 13, 25, 51, 101, ?

Solution:
The pattern is 2n + 1, 2n - 1, 2n + 1, 2n - 1, ... ... ; [n = 6, 13, 25, 51, 101, ... ...]

Here,
(2 × 6) + 1 = 12 + 1 = 13
(2 × 13) - 1 = 26 - 1 = 25
.
.
.
So, missing term = (2 × 101) + 1 = 202 + 1 = 203

৪৬০.

What will be the water image of the word “CONFIDENT”?

ব্যাখ্যা

Question: What will be the water image of the word “CONFIDENT”?

Solution:
CONFIDENT শব্দটির পানিতে প্রতিবিম্ব হবে:

সঠিক উত্তর: ঘ

৪৬১.

Kobir walks 10 km towards North. From there he walks 6 km towards South. Then, he walks 3 km towards East. How far and in which direction is he with reference to his starting point?

ক
5 km North-west
খ
5 km North-East
গ
7 km south-East
ঘ
7 km south-west

ব্যাখ্যা

Question: Kobir walks 10 km towards North. From there he walks 6 km towards South. Then, he walks 3 km towards East. How far and in which direction is he with reference to his starting point?

Solution:

শুরুস্থান A এবং গন্তব্যস্থান D
AC = 10 - 6 = 4 কিমি

AD² = AC² + CD²
AD² = 4² + 3²
AD² = 16 +9
AD² = 25
AD² = 5²
AD = 5

৪৬২.

Which number replaces the question mark?

ক
1355
খ
1270
গ
1405
ঘ
1550

ব্যাখ্যা

Question: Which number replaces the question mark?

Solution:
Given,
1^st number = 1
2^nd number = 1 × 5 + 5 = 10
3^rd number = 10 × 5 + 5 = 55
4^th number = 55 × 5 + 5 = 280
∴ 5^th number = 280 × 5 + 5 = 1405

৪৬৩.

SCD, TEF, UGH, ____, WKL.

ক
CMN
খ
UJI
গ
VIJ
ঘ
IJT

ব্যাখ্যা

Question: SCD, TEF, UGH, ____, WKL.

Solution:
There are two alphabetical series here.
The first series is with the first letters only: S, T, U, V, W.
The second series involves the remaining letters: CD, EF, GH, IJ, KL.

∴ Answer will be VIJ

৪৬৪.

Twenty-seven persons attended a party. Which one of the following statements can never be true?

ক
ক) There is a person in the party who is acquainted with all the twenty-six others.
খ
খ) Each person in the party has a different number of acquaintances.
গ
গ) There is a person in the party who has an odd number of acquaintances.
ঘ
ঘ) In the party, there is no set of three mutual acquaintances.

ব্যাখ্যা

এখানে,
ক অপশনে বলা আছে,
একজন লোক আছে যে বাকি ২৬ জনের সাথে পরিচিত। এটা সত্য হতেও পারে।

খ অপশনে বলা আছে,
একেকজনের একেক রকম পরিচিতি রয়েছে। এই হিসেবে,
১ম ব্যাক্তির পরিচিত হবে ২৬ জন।
২য় ব্যাক্তির পরিচিত হবে ২৫ জন।
৩য় ব্যাক্তির পরিচিত হবে ২৪ জন।
-----------------------------------
-----------------------------------
-----------------------------------
২৬তম ব্যাক্তির পরিচিত হবে ১ জন।
২৭ তম ব্যাক্তির পরিচিত হবে ০ জন। কিন্তু তা অসম্ভব।
তাই খ সত্য হতে পারে না।

গ অপশনে বলা আছে,
এমন একজন ব্যক্তি আছেন যার পরিচিত লোকের সংখ্যা বিজোড়। এটা সত্য হতেও পারে।

ঘ অপশনে বলা আছে,
তিনজন লোক পরস্পর তিনজনকে চিনে না। এটা সত্য হতেও পারে।

৪৬৫.

Find the next number in the series: 8, 27, 64, 125, 216, ?

ক
296
খ
410
গ
256
ঘ
343

ব্যাখ্যা

Question: Find the next number in the series: 8, 27, 64, 125, 216, ?

Solution:
The series represents the cubes of consecutive natural numbers:
2³ = 8
3³ = 27
4³ = 64
5³ = 125
6³ = 216
7³ = 343

So, the next number will be 343.

৪৬৬.

NEEDLE : THREAD

ক
ক) Deader : follower
খ
খ) Pin : cushion
গ
গ) Bat : ball
ঘ
ঘ) Prick : sew

ব্যাখ্যা

Needle: সূচ ; সূচের মত জিনিস।
Thread: সূতা ; আশ ; স্ত্রু পেঁচান অংশ।

Bat: ক্রিকেট খোলার ব্যাট।
Ball: খেলার বল।

⇒ Needle এর সাথে Thread এর যেমন সম্পর্ক, Bat এর সাথে Ball এর তেমন সম্পর্ক।

৪৬৭.

Today is Wednesday. After 45 days, it will be:

ক
Saturday
খ
Monday
গ
Tuesday
ঘ
Friday
ঙ
None of these

ব্যাখ্যা

Question: Today is Wednesday. After 45 days, it will be:

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

45 ÷ 7 = 6 (remainder 3)

So, after (7 × 6) = 42 days it will be Wednesday.
∴ after 45 days it will be (Wednesday + 3 days) = Saturday

৪৬৮.

If the weight of the object is 30 kg, how much force is required to lift the object?

ক
30 N
খ
60 N
গ
120 N
ঘ
None of the above

ব্যাখ্যা

Question: If the weight of the object is 30 kg, how much force is required to lift the object?

Solution:
• Given:
Weight of Object (W) = 30 kg
Gravitational Acceleration (g) = 9.81 m/s²
Number of Ropes Supporting the Load = 1

Calculation of the the Weight Force (Load):
Weight Force = Mass × Gravity
Weight Force=Mass × Gravity = 30 × 9.81 =30 × 9.81 = 294.3 N = 294.3 N

Determination of the Mechanical Advantage (MA):
Since there is only one rope supporting the load, the mechanical advantage is:
MA = 1

Calculation of the Required Force:
Effort Force= MA/Load Force
= 1/294.3
= 294.3 N

The required force to lift the object is 294.3 N (approximately 294 N).

Since this is a single fixed pulley, it only changes the direction of force but does not reduce the effort needed.

৪৬৯.

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

ক
ক) OIXBOZ
খ
খ) OIQBON
গ
গ) OIXBMN
ঘ
ঘ) OIXBON

ব্যাখ্যা

Question: In a code PREMIER is written as XOILSIO, ANTAGONAISE is written as MQNMZBQMSWI, then how can REPORT 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

REPORT
R → O
E → I
P → X
O → B
R → O
T → N
∴ REPORT can be written as OIXBON.

৪৭০.

A red house is built from red bricks. A blue house is built from blue bricks. A white house is built from white bricks. Then what is a greenhouse made from?

ক
ক) green bricks
খ
খ) wood
গ
গ) glass
ঘ
ঘ) steel
ঙ
ঙ) None of these

ব্যাখ্যা

Question: A red house is built from red bricks. A blue house is built from blue bricks. A white house is built from white bricks. Then what is a greenhouse made from?

Solution:
A greenhouse is typically made from transparent materials such as glass or clear plastic.
These materials allow sunlight to enter the structure while trapping heat inside, creating a controlled environment that is warmer than the external conditions.
This controlled environment is used for growing plants and crops that require specific temperature and humidity conditions, extending the growing season and enabling the cultivation of plants that might not thrive in the local climate otherwise.

৪৭১.

If today is Wednesday, which day of the week will it be after 47 days?

ক
Monday
খ
Tuesday
গ
Wednesday
ঘ
Thursday

ব্যাখ্যা

Question: If today is Wednesday, which day of the week will it be after 47 days?

Solution:
Each day of the week is repeated after 7 days.

So, after 49 days, it will be Wednesday.
∴ After 47 days, it will be Monday.

৪৭২.

In a 24-hour period, how many times do the hour and minute hands coincide on a standard clock?

ক
10
খ
24
গ
20
ঘ
22

ব্যাখ্যা

Question: In a 24-hour period, how many times do the hour and minute hands coincide on a standard clock?

Solution:
Our clock generally has 12 hours. Every 12 hours, the hour hand and the minute hand meet 11 times.

This is because at 11:55, the minute hand can never be exactly on the hour hand; when it catches up with it, it is already 12 o'clock.

Therefore, in 12 hours, when they meet 11 times, in 24 hours (11 × 2) they will meet 22 times.

৪৭৩.

In a certain code, AWAKE is written as ZVZJD. How is FRIEND written in that code?

ক
EQHDMC
খ
UOHDMF
গ
UHODMF
ঘ
FMDHOU

ব্যাখ্যা

Question: In a certain code, AWAKE is written as ZVZJD. How is FRIEND written in that code?

Solution:

A এর পূর্ববর্তী লেটার Z
W এর পূর্ববর্তী লেটার V
K এর পূর্ববর্তী লেটার J
E এর পূর্ববর্তী লেটার D

তাহলে, FRIEND এর পরিবর্তে লিখা যাবে = EQHDME

৪৭৪.

A clock loses (falls behind) 12 minutes each day. How many days will it take to reach a point where the clock will indicate the correct time?

ক
35 days
খ
50 days
গ
60 days
ঘ
45 days

ব্যাখ্যা

Question: A clock loses (falls behind) 12 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 হারাতে হবে। কারণ একটি 12 ঘণ্টার ঘড়িতে যখন সঠিক সময় থেকে 12 ঘণ্টা সময় পিছিয়ে পড়বে, তখন এটি আবার সঠিক সময় নির্দেশ করবে।
12 ঘণ্টা = 12 × 60 মিনিট = 720 মিনিট

এখন, যেহেতু ঘড়িটি প্রতিদিন 12 মিনিট করে সময় হারায়,

12 মিনিট সময় হারায় 1 দিনে
∴720 মিনিট সময় হারাবে = (1/12) × 720 দিনে
= 60 দিনে
সুতরাং, 60 দিন পর ঘড়িটি আবার সঠিক সময় দেখাবে।

৪৭৫.

A clock gains (moves ahead) 20 minutes each day. How many days will it take to reach a point where the clock will indicate the correct time?

ক
24 days
খ
36 days
গ
48 days
ঘ
60 days

ব্যাখ্যা

Question: A clock gains (moves ahead) 20 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 সময় এগিয়ে যাবে, তখন এটি আবার সঠিক সময় নির্দেশ করবে।

12 ঘণ্টা = 12 × 60 মিনিট = 720 মিনিট

এখন, যেহেতু ঘড়িটি প্রতিদিন 20 মিনিট করে সময় এগিয়ে যায়,
20 মিনিট সময় এগিয়ে যায় 1 দিনে
∴ 720 মিনিট সময় এগিয়ে যাবে = (1/20) × 720 দিনে
= 36 দিনে

∴ 36 দিন পর ঘড়িটি আবার সঠিক সময় দেখাবে।

৪৭৬.

What will replace the question mark?

ক
22
খ
18
গ
12
ঘ
10

ব্যাখ্যা

Question: What will replace the question mark?

Solution:
এখানে,
উপরের সংখ্যাটি নিচের দুটি সংখ্যার বর্গের সমষ্টির বর্গমূলের সমান।

১ম চিত্রে,
√(5² + 12²) = √169 = 13
২য় চিত্রে,
√(15² + 8²) = √289 = 17
৩য় চিত্রে,
√(6² + 8²) = √100 = 10

৪৭৭.

Find the missing number:

ক
ক) 20
খ
খ) 65
গ
গ) 91
ঘ
ঘ) 169

ব্যাখ্যা

Question: Find the missing number:

Solution:
১ম চিত্রে,
√9 + √25
= 3 + 5
= 8

২য় চিত্রে,
√16 + √49
= 4 + 7
= 11

৩য় চিত্রে,
√121 + √81
= 11 + 9
= 20

৪৭৮.

Soldier : Gun : : Blacksmith : ?

ক
ক) Wood
খ
খ) Sword
গ
গ) Iron
ঘ
ঘ) Hammer

ব্যাখ্যা

Soldier uses Gun and Blacksmith uses Hammer

৪৭৯.

A is west of B. B is north of C. D is south of A. So, where is D in relation to C?

ক
North
খ
South
গ
East-West
ঘ
West

ব্যাখ্যা

Question: A is west of B. B is north of C. D is south of A. So, where is D in relation to C?

Solution:

অতএব, D এর অবস্থান C এর পশ্চিমদিকে।

৪৮০.

Angry. : Night : : ? : Day

ক
ক) Helpful
খ
খ) Pleased
গ
গ) Cruel
ঘ
ঘ) Loving

ব্যাখ্যা

First terms is the opposite of the IIIrd term as is the case with IInd and IVth terms

৪৮১.

How many triangles are there?

ক
14
খ
12
গ
15
ঘ
16

ব্যাখ্যা

Question: How many triangles are there?

Solution:

The simplest triangles are AFB, FEB, EBC, DEC, DFE, and AFD so, 6 triangles.
The triangles are composed of two components: AEB, FBC, DFC, ADE, DBE, and ABD so, 6 triangles
The triangles composed of three components are ADC and ABC so, 2 trangles.
There is only one triangle DBC which is composed of four components.

Thus, there are 6 + 6 + 2 + 1 = 15 triangles in the figure.

৪৮২.

What is the sum of the first 17 terms of an arithmetic progression if the first term is - 20 and last term is 28?

ক
68
খ
136
গ
34
ঘ
72

ব্যাখ্যা

Question: What is the sum of the first 17 terms of an arithmetic progression if the first term is - 20 and last term is 28?

Solution:
First term of AP = a = - 20
and last term = l = 28
Number of terms = n = 17

∴ Sum of the first 17 terms, S_n = n/2(a + l)
= 17/2(- 20 + 28)
= 17 × 4
= 68

৪৮৩.

In a bank clients stand in a queue. If Sami is 21th in order from both ends, how many clients are there in the queue?

ক
42
খ
43
গ
41
ঘ
40

ব্যাখ্যা

Question: In a bank clients stand in a queue. If Sami is 21th in order from both ends, how many clients are there in the queue?

Solution:
এক দিক থেকে সামির অবস্থান ২১ তম অর্থাৎ সে সহ ২১ জন।
অপর দিক থেকে তার অবস্থান ২১ তম অর্থাৎ সে বাদে আরও ২০ জন আছে।
∴ ঐ সারিতে মোট ক্লায়েন্ট আছে (২১ + ২০) জন = ৪১ জন

৪৮৪.

If TOPIC is written as POITC, then how would FINAL be written in the same code?

ক
IAFLN
খ
LNIAF
গ
NIAFL
ঘ
INAFL

ব্যাখ্যা

Question: If TOPIC is written as POITC, then how would FINAL be written in the same code?

Solution:
The code contains the letters of the word in the order- third,second, fourth, first and fifth

৪৮৫.

If tomorrow is Friday, what day of the week will it be after 46 days?

ক
Wednesday
খ
Saturday
গ
Friday
ঘ
Tuesday
ঙ
Monday

ব্যাখ্যা

Question: If tomorrow is Friday, what day of the week will it be after 46 days?

Solution:
Given that,
Tomorrow is Friday, then today is Thursday

Days of the week repeat every 7 days. So, find the remainder when 46 is divided by 7.
So 46 ÷ 7 = 6 weeks + 4 days remainder.
So the day will move 4 days forward.

Count 4 days from Thursday,
Thursday → Friday → Saturday → Sunday → Monday

Therefore, 46 days from today (Thursday) is Monday.

৪৮৬.

A man starts climbing a 20m high wall at 9 am. In each minute, he climbs up 5m but slips down 2m. At what time will he climb the wall?

ক
9 : 05 AM
খ
9 : 06 AM
গ
9 : 07 AM
ঘ
9 : 08 AM

ব্যাখ্যা

Question: A man starts climbing a 20m high wall at 9 am. In each minute, he climbs up 5m but slips down 2m. At what time will he climb the wall?

Solution:
দেওয়া আছে, দেয়ালের মোট উচ্চতা = 20 মিটার।

প্রতি মিনিটে উপরে ওঠে = 5 মিটার।
প্রতি মিনিটে নিচে নেমে যায় = 2 মিটার।

∴ প্রতি মিনিটে
নিট বা প্রকৃত আরোহণ = 5 মিটার - 2 মিটার
= 3 মিটার।

এখানে, শেষ মিনিটে লোকটি উপরে উঠে যাবে এবং আর পিছলে নামবে না।
তাই, শেষ 5 মিটার বাদ দিয়ে হিসাব করতে হবে।

যে উচ্চতা পর্যন্ত তাকে পিছলে নামতে হবে = 20 - 5 = 15 মিটার।

3 মিটার উঠতে সময় লাগে = 1 মিনিট।
∴ 15 মিটার উঠতে সময় লাগে = 15/3 মিনিট
= 5 মিনিট।

সবশেষে 5 মিটার সে পরের মিনিটে উঠে যাবে এবং দেয়ালের শীর্ষে পৌঁছাবে।
সুতরাং, মোট সময় লাগবে = 5 মিনিট + 1 মিনিট = 6 মিনিট।

যেহেতু লোকটি সকাল 9টায় আরোহণ শুরু করেছিল, তাই সে সকাল 9টা 6 মিনিটে দেয়ালে পৌঁছাবে।

৪৮৭.

Which of the following is not a leap year?

ক
2008
খ
2012
গ
2020
ঘ
2022
ঙ
None of these

ব্যাখ্যা

Question: Which of the following is not a leap year?

Solution:
A leap year is divisible by 4.

Here,
2008 ÷ 4 = 502, divisible by 4 , so leap year.
2012 ÷ 4 = 503, divisible by 4 , so leap year.
2020 ÷ 4 = 505, divisible by 4 , so leap year.
2022 ÷ 4 = 505, remainder 2, so not leap year.

৪৮৮.

A certain company retirement plan has a "rule of 70" provision that allows an employee to retire when the employee's age plus years of employment with the company total at least 70. In what year could a female employee hired in 1986 on her 32nd birthday first be eligible to retire under this provision?

ক
2023
খ
2004
গ
2005
ঘ
2006
ঙ
2024

ব্যাখ্যা

Question: A certain company retirement plan has a "rule of 70" provision that allows an employee to retire when the employee's age plus years of employment with the company total at least 70. In what year could a female employee hired in 1986 on her 32nd birthday first be eligible to retire under this provision?

Solution:
She must gain at least 70 points, now she has 32 and every year gives her two more points: one for age and one for additional year of employment.

Let, X is the years worked

32 + x + x = 70
⇒ 2x = 38,
∴ x = 19

1986 + 19 = 2005

৪৮৯.

What number should come next in the series:
4, 7, 13, 25, 49,.......?

ক
85
খ
90
গ
97
ঘ
101

ব্যাখ্যা

Question: What number should come next in the series:
4, 7, 13, 25, 49,.......?

Solution:
দেওয়া আছে,
সিরিজটি হলো: 4, 7, 13, 25, 49,.......

পার্থক্যগুলোর মধ্যে একটি প্যাটার্ন রয়েছে। প্রতিটি পার্থক্য আগের পার্থক্যের 2 গুণ।

4 থেকে 7 পর্যন্ত পার্থক্য: 3
7 থেকে 13 পর্যন্ত পার্থক্য: 6 (3 × 2)
13 থেকে 25 পর্যন্ত পার্থক্য: 12 (6 × 2)
25 থেকে 49 পর্যন্ত পার্থক্য: 24 (12 × 2)

সুতরাং, পরবর্তী পার্থক্যটি হবে: 24 × 2 = 48
পরবর্তী সংখ্যাটি হবে শেষ সংখ্যা এবং এই পার্থক্যের যোগফল:
49 + 48 = 97

অতএব, পরবর্তী সংখ্যাটি হলো 97।

৪৯০.

If A stands for +, B stands for -, C stands for ×, then what is the value of (10 C 4) A (4 C 4) B 6 ?

ক
60
খ
55
গ
50
ঘ
40

ব্যাখ্যা

Question: If A stands for +, B stands for -, C stands for ×, then what is the value of (10 C 4) A (4 C 4) B 6 ?

Solution:
(10 C 4) A (4 C 4) B 6
= (10 × 4) + (4 × 4) - 6
= 40 + 16 - 6
= 56 - 6
= 50

৪৯১.

In a certain code, MASTER = 582467 and CROWD = 17936, how is DREAM coded in the language?

ক
67568
খ
76568
গ
67685
ঘ
76865

ব্যাখ্যা

Question: In a certain code, MASTER = 582467 and CROWD = 17936, how is DREAM coded in the language?

Solution:
Given,
M A S T E R
↓ ↓ ↓ ↓ ↓ ↓
5 8 2 4 6 7

and
C R O W D
↓ ↓ ↓ ↓ ↓
1 7 9 3 6

So
D R E A M
↓ ↓ ↓ ↓ ↓
6 7 6 8 5

৪৯২.

If WORD = DROW, then PALE = ?

ক
LEAP
খ
PEAL
গ
APLE
ঘ
ELAP

ব্যাখ্যা

Question: If WORD = DROW, then PALE = ?

Solution:

এখানে,
WORD = DROW এর W আর D এবং O আর R নিজেদের মধ্যে স্থান পরিবর্তন করেছে।

একইভাবে,
PALE শব্দের P আর E এবং A আর L নিজেদের মধ্যে স্থান পরিবর্তন করবে।

∴ PALE = ELAP

৪৯৩.

A clock is set at 4 am. It loses 16 minutes in 24 hours. What will be the correct time when the clock indicates 9 pm on the 4th day?

ক
7 pm
খ
8 pm
গ
10 pm
ঘ
11 pm

ব্যাখ্যা

Question: A clock is set at 4 am. It loses 16 minutes in 24 hours. What will be the correct time when the clock indicates 9 pm on the 4th day?

Solution:
Time from 4 am on a day to 9 pm on the 4th day = 89 hours

As per the question, 23 hrs 44 minutes of this clock = 24 hours of the correct clock as this clock loses 16 minutes in 24 hours.

23 hrs 44 minutes = 356/15 Hours

Now, 356/15 Hrs of this clock = 24 hours of correct clock
89 hours of this clock = (15 × 24 × 89)/356 = 90 hours of the correct clock

∴ the correct clock gains one hour over the incorrect clock.

∴ The correct time on the fourth day would be 10 pm.

৪৯৪.

Today is Friday. After 58 days, it will be:

ক
Sunday
খ
Saturday
গ
Wednesday
ঘ
Tuesday

ব্যাখ্যা

Question: Today is Friday. After 58 days, it will be:

৪৯৫.

Today it is Thursday. After 132 days, it will be-

ক
Monday
খ
Sunday
গ
Wednesday
ঘ
Thursday

ব্যাখ্যা

Question: Today it is Thursday. After 132 days, it will be-

Solution:
132 ÷ 7 = 18, Reminder 6
∴ The day after 132 days = Thursday + 6 = Wednesday

Alternative Solution:
Since each day of the week is repeated after 7 days.
After 133 days,it will be thursday.
So one day before that would be Wednesday.

৪৯৬.

What is the next term in the sequence: 3, 9, 6, 11, 9, 13, ....?

ক
11
খ
12
গ
15
ঘ
14

ব্যাখ্যা

Question: What is the next term in the sequence: 3, 9, 6, 11, 9, 13, ....?

Solution:
Here,
Split into two alternating sub-sequences:

Odd positions (1st, 3rd, 5th):
3, 6, 9 ⇒ increases by 3 each time

Even positions (2nd, 4th, 6th):
9, 11, 13 ⇒ increases by 2 each time

Since 13 was the 6th term (even position),
So, the 7th term (odd position) continues the first sub-sequence:
3, 6, 9 ⇒ next is 12

৪৯৭.

Akash ranks 19th in the class of 55 students. There are 9 students below Rasel rankwise. How many students are there between Akash and Rasel?

ক
25
খ
26
গ
27
ঘ
28

ব্যাখ্যা

Question: Akash ranks 19th in the class of 55 students. There are 9 students below Rasel rankwise. How many students are there between Akash and Rasel?

Solution:
মোট শিক্ষার্থী = ৫৫ জন
আকাশ তাদের মধ্যে ১৯তম

রাসেলের পেছনে ৯ জন আছে।
অর্থাৎ, রাসেল শেষ থেকে ১০ম।

তাই, আকাশ ও রাসেলের মধ্যে আছে = ৫৫ - (১৯ + ১০) = ২৬জন

৪৯৮.

If ROSE is coded *#@& and PEOPLE is coded ^&#^$&. What will be the code of SLEEP?

ক
$@&&^
খ
&$@@^
গ
@$&&^
ঘ
^$&&@

ব্যাখ্যা

Question: If ROSE is coded *#@& nad PEOPLE is coded ^&#^$&. What will be the code of SLEEP?

Solution:
here,
R = *
O = #
S = @
E = &
P = ^
L = $

so, SLEEP = @$&&^

৪৯৯.

If A = 1, B = 4, C = 7, and so on, what is the meaning of the following numbers: 46, 13, 1, 52, 34?

ক
P, L, A, N, E
খ
P, A, P, E, R
গ
R, E, P, E, L
ঘ
P, E, A, R, L

ব্যাখ্যা

Question: If A = 1, B = 4, C = 7, and so on, what is the meaning of the following numbers: 46, 13, 1, 52, 34?

Solution:
দেয়া আছে, A = 1, B = 4, C = 7, .....

∴ প্রতিটি কোড = (অক্ষরের অবস্থান × 3) - 2
∴ ডিকোডিং নিয়মটি হবে: অক্ষরের অবস্থান = (কোড + 2)/3

এখন,
(46 + 2)/3 = 48/3 = 16 → P
(13 + 2)/3 = 15/3 = 5 → E
(1 + 2)/3 = 3/3 = 1 → A
(52 + 2)/3 = 54/3 = 18 → R
(34 + 2)/3 = 36/3 = 12 → L

∴ সংখ্যাগুলির অর্থ হলো PEARL

৫০০.

Cost of 3 cricket balls = cost of 2 pairs of leg pads
Cost of 3 pairs of leg pads = cost of 2 pairs of gloves.
Cost of 3 pairs of gloves = cost of 2 cricket bats.
If a cricket bat costs Tk. 5400, what is the cost of a cricket ball?

ক
Tk. 1200
খ
Tk. 1400
গ
Tk. 1600
ঘ
Tk. 1800

ব্যাখ্যা

Question: Cost of 3 cricket balls = cost of 2 pairs of leg pads.
Cost of 3 pairs of leg pads = cost of 2 pairs of gloves.
Cost of 3 pairs of gloves = cost of 2 cricket bats.
If a cricket bat costs Tk. 5400, what is the cost of a cricket ball?

Solution:
3 pairs of gloves = 2 × 5400 = 10800
∴ 1 pairs of gloves = 10800/3 = 3600

3 pairs of leg pads = 2 × 3600 = 7200
∴ 1 pairs of leg pads = 7200/3 = 2400

3 cricket balls = 2 × 2400 = 4800
∴ cost of 1 cricket ball = 4800/3 = 1600