Analytical Ability

PrepBank · পাতা ২ / ৭ · ১০১–২০০ / ৬৫৯

১০১.

In a race of 200 meters, B can give a start of 10 meters to A, and C can give a start of 20 meters to B. The starts that C can give to A, in the same race is:

ক
27 meters
খ
24 meters
গ
29 meters
ঘ
18 meters
ঙ
None

ব্যাখ্যা

Question: In a race of 200 meters, B can give a start of 10 meters to A, and C can give a start of 20 meters to B. The starts that C can give to A, in the same race is:

Solution:
ATQ,
When B runs 200 m meters, A runs 190 meters;
Hence, when B runs 180 meters,
A runs = 190 × (180/200) meters
= 171 meters

When C runs 200m, B runs 180 meters.
Hence,
C will give a start to A by = (200 - 171) meters
= 29 meters

১০২.

Complete the following series:
350, 520, 738, ?, 1342

ক
1124
খ
984
গ
1186
ঘ
1010

ব্যাখ্যা

Question: Complete the following series:
350, 520, 738, ?, 1342

Solution:
350 = 7³ + 7
520 = 8³ + 8,
738 = 9³ + 9,
?
1342 = 11³ + 11,
So the pattern is n³ + n

So missing number is,
10³ + 10 = 1000 + 10 = 1010

১০৩.

At what angle are the hands of a clock inclined at 10 minutes past 5?

ক
85°
খ
105°
গ
90°
ঘ
100°
ঙ
95°

ব্যাখ্যা

Question: At what angle are the hands of a clock inclined at 10 minutes past 5?

Solution:
The standard formula for the smaller angle θ between the hour and minute hands is.
θ = {|60H - 11M|}/2 ; [where H = hour, M = minutes]
= {|(60 × 5) - (11 × 10)|}/2
= |300 - 110|/2
= 190/2
= 95°

So the hands of the clock are inclined at 95° at 10 minutes past 5.

১০৪.

What number should replace the question mark?

ক
18
খ
44
গ
64
ঘ
68

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

১০৫.

Which fraction is the biggest?

ক
3/5
খ
5/8
গ
1/2
ঘ
4/7

ব্যাখ্যা

Question: Which fraction is the biggest?

Solution:
3/5 = 0.6
5/8 = 0.625
1/2 = 0.5
4/7 = 0.571

১০৬.

Today is Sunday. After 87 days, what day of the week will it be?

ক
Monday
খ
Tuesday
গ
Wednesday
ঘ
Thursday

ব্যাখ্যা

Question: Today is Sunday. After 87 days, what day of the week will it be?

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

So, after (7 × 12) = 84 days, it will be Sunday.

After 85 days, it will be Monday.
After 86 days, it will be Tuesday.
∴ After 87 days, it will be Wednesday.

১০৭.

What will come at the place of the question mark? 1, 9, 25, 49, 81,?

ক
100
খ
121
গ
144
ঘ
150

ব্যাখ্যা

Question: What will come at the place of the question mark?
1, 9, 25, 49, 81,?

Solution:
1 = 1²
9 = 3²
25 = 5²
49 = 7²
81 = 9²
121 = 11²

১০৮.

What should come in place of the question mark '?' in the following number series.
10, 30, 68, 130, ?

ক
210
খ
222
গ
218
ঘ
224
ঙ
230

ব্যাখ্যা

Question: What should come in place of the question mark '?' in the following number series.
10, 30, 68, 130, ?

Solution:
Each term is n³ + n
1^st term = 2³ + 2 = 8 + 2 = 10
2^nd term = 3³ + 3 = 27 + 3 = 30
3^rd term = 4³ + 4 = 64 + 4 = 68
4^th term = 5³ + 5 = 125 + 5 = 130
5^th term = 6³ + 6 = 216 + 6 = 222

∴ The missing number is 222.

১০৯.

Four girls are sitting in a line for photograph. Tania is to the right of Jannat. Lamia is to the right of Mania. Mania is between Tania and Lamia. Jannat is at the extreme left end. Who is third from the right in the line?

ক
Mania
খ
Tania
গ
Lamia
ঘ
Jannat

ব্যাখ্যা

Question: Four girls are sitting in a line for photograph. Tania is to the right of Jannat. Lamia is to the right of Mania. Mania is between Tania and Lamia. Jannat is at the extreme left end. Who is third from the right in the line?

Solution:
তানিয়া জান্নাতের ডান দিকে। জান্নাত ⇔ তানিয়া
মানিয়া, তানিয়া এবং লামিয়ার মাঝে। তানিয়া ⇔ মানিয়া ⇔ লামিয়া
জান্নাত একদম বামপ্রান্তে। জান্নাত ⇔ তানিয়া ⇔ মানিয়া ⇔ লামিয়া

∴ জান্নাত ⇔ তানিয়া ⇔ মানিয়া ⇔ লামিয়া
∴ তানিয়া সারিটির ডানদিক থেকে তৃতীয় হবে।

১১০.

Painting : Frame :: Book :?

ক
Cover
খ
Pages
গ
Money
ঘ
Writer

ব্যাখ্যা

Question: Painting : Frame :: Book :?

Solution:
We know, Cover is used to protect book in same way a frame is use to protect painting.

১১১.

If January 1, 2025 is on a Wednesday, what day will January 1, 2027 fall on?

ক
Sunday
খ
Wednesday
গ
Friday
ঘ
Saturday

ব্যাখ্যা

Question: If January 1, 2025 is on a Wednesday, what day will January 1, 2027 fall on?

Solution:
Except for a leap year, the first and last days of every year fall on the same day of the week. In a leap year, one extra day must be added.

The year 2025 is not a leap year.
If January 1st, 2025, is a Wednesday, then the last day of the year will also be a Wednesday.

January 1st, 2026, will be a Thursday.
The last day of 2026 will also be a Thursday.

January 1st, 2027, will be a Friday.

১১২.

ACT, EGG, INK, ______ What is the next term in the series?

ক
EGG
খ
OLD
গ
TOY
ঘ
JOY

ব্যাখ্যা

Question: ACT, EGG, INK, ______ What is the next term in the series?

Solution:
In the English alphabet, there are five vowels (A, E, I, O, U).
Here, 1st position starts with A, 2nd position starts with E, 3rd position starts with I,

∴ the 4th position will start with O. So, the correct answer is OLD.

১১৩.

Find the missing number-

ক
12
খ
28
গ
9
ঘ
13

ব্যাখ্যা

Question: Find the missing number-

Solution:
প্রথম চিত্রে,
(19 + 16)/5 = 35/5 = 7

দ্বিতীয় চিত্রে,
(24 + 16)/5 = 40/5 = 8

তৃতীয় চিত্রে,
(26 + 19)/5 = 45/5 = 9

১১৪.

In a certain language ICEBERG is coded as GCEBERI, how is ICHNITE coded in that language?

ক
ECINHIT
খ
ECINHTI
গ
ECHNITI
ঘ
EHCNIIT

ব্যাখ্যা

Question: In a certain language ICEBERG is coded as GCEBERI, how is ICHNITE coded in that language?

Solution:
ICEBERG ⇔ GCEBERG
I ⇒ C ⇒ E ⇒ B ⇒ E ⇒ R ⇒ G
1 ⇒ 2 ⇒ 3 ⇒ 4 ⇒ 5 ⇒ 6 ⇒ 7
G ⇒ C ⇒ E ⇒ B ⇒ E ⇒ R ⇒ G

Here,
Letters of 1st and 7th position inter-change their position.
Letters of 3rd and 5th position also inter-change their position.
And the letters of even number position remain same.

I ⇒ C ⇒ H ⇒ N ⇒ I ⇒ T ⇒ E
1 ⇒ 2 ⇒ 3 ⇒ 4 ⇒ 5 ⇒ 6 ⇒ 7
E ⇒ C ⇒ I ⇒ N ⇒ H ⇒ T ⇒ I

∴ ICHNITE ⇔ ECINHTI

১১৫.

'Boat is to sea', therefore 'Plane is to _____'

ক
ক) Fly
খ
খ) Air
গ
গ) Sky
ঘ
ঘ) Float

ব্যাখ্যা

Question: 'Boat is to sea', therefore 'Plane is to _____'

Solution:
নৌকা সমুদ্র দিয়ে চলাচল করে।
তেমনি উড়োজাহাজ আকাশে যাতায়াত করে।

১১৬.

On February 5, 1998, it was Thursday. The day of the week on February 5, 1997, was-

ক
Wednesday
খ
Monday
গ
Friday
ঘ
Sunday

ব্যাখ্যা

Question: On February 5, 1998, it was Thursday. The day of the week on February 5, 1997, was-

Solution:
1997 was an ordinary year, it had 1 odd day. So, the day on February 5, 1998, would be one day beyond the day on February 5, 1997.

∴ Thursday on February 5, 1998, would be one day beyond the day on February 5, 1997, so the day on February 5, 1997, was Wednesday.

১১৭.

At what angle the hands of a clock are inclined at 15 minutes past 5?

ক
67.5°
খ
72.5°
গ
58.5°
ঘ
69.5°

ব্যাখ্যা

Question: At what angle the hands of a clock are inclined at 15 minutes past 5?

Solution:
Hours hand moves in 15 past.
5 from 12 p.m = (5 + 15/60) hours = 21/4 hours
Angle of hours hand = (360/12) × (21/4)
= 157.5°

Minutes hands makes angle of = (360/60) × 15
= 90°

Angle between hours and minutes hands = (157.5° - 90°)
= 67.5°

১১৮.

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

ক
15.5°
খ
20°
গ
22.5°
ঘ
10°

ব্যাখ্যা

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

Solution:
We know,
The angle between the hour and minute hands is,
Angle = |11M - 60H|/2
= |(11 × 20) - (60 × 4)|/2
= |220 - 240|/2
= |- 20|/2
= 20/2
= 10°

So the angle between the hour and minute hands at 4 : 20 is 10°.

১১৯.

There are deer and peacock in zoo. The total number of their heads is 80 and the total number of their legs is 200. How many peacocks are there?

ক
20
খ
30
গ
50
ঘ
60

ব্যাখ্যা

Question: There are deer and peacock in zoo. The total number of their heads is 80 and the total number of their legs is 200. How many peacocks are there?

Solution:
Let there are "X" deer and "Y" peacocks.

Total heads are 80.
∴ X + Y = 80 .................(1)

Total legs are 200. Deer has 4 legs and peacock has 2.
∴ 4X + 2Y = 200 ..................(2)

Multiplying Equation (1) by 4 and substracting with Equation (2), we get
4X + 4Y - 4X - 2Y = 320 - 200
⇒ 2Y = 120
∴ Y = 60

Putting this value of Y in Equation (1), we get
X + 60 = 80
∴ X = 20

∴ Total peacocks are Y = 60.
Hence, the correct answer is 60.

১২০.

predator is chasing its prey. The predator takes 4 leaps for every 6 leaps of the prey and the predator covers as much distance in 2 leaps as 3 leaps of the prey. Will the predator succeed in getting its food?

ক
ক) Yes
খ
খ) In the 6^th leap
গ
গ) Never
ঘ
ঘ) Can't be determined
ঙ
ঙ) None of these

ব্যাখ্যা

Question: predator is chasing its prey. The predator takes 4 leaps for every 6 leaps of the prey and the predator covers as much distance in 2 leaps as 3 leaps of the prey. Will the predator succeed in getting its food?

Solution:
শিকারীর ২ লাফের দূরত্ব = শিকারের ৩ লাফের দূরত্ব
শিকারীর ৪ লাফের দূরত্ব = শিকারের (৩ × ৪)/২ লাফের দূরত্ব
= ৬ লাফের দূরত্ব

আবার, শিকারী যে সময়ে ৪ লাফ দেয়, শিকার যে সময়ে ৬ লাফ দেয়।
∴ ৪ লাফে শিকারী শিকার ধরে ফেলবে।

১২১.

Differences in the way men and women process language are of special interest to brain researchers. It is known that 'aphasia', a kind of speech disorder, is more common in men than in women when the left side of the brain is damaged in an accident or after stroke. However, women are more likely than men to suffer 'aphasia' when the front part of the brain is damaged. The idea implied in the above passage is

ক
ক) Brain damaged can be caused by an accident
খ
খ) Brains of men and women are organized differently in the way they process speech
গ
গ) Both sides of the brain are responsible for speech organization
ঘ
ঘ) Brain researchers are locked in argumen over the process of language development

ব্যাখ্যা

নারী ও পুরুষের ভাষা প্রক্রিয়ার মধ্যে পার্থক্য মস্তিষ্ক গবেষকদের বিশেষ আগ্রহের বিষয়।
- জানা যায়, দুর্ঘটনায় বা স্ট্রোকের পর মস্তিষ্কের বাম দিক ক্ষতিগ্রস্ত হলে 'অ্যাফেসিয়া' নামক এক ধরনের বাক ব্যাধি মহিলাদের তুলনায় পুরুষদের মধ্যে বেশি দেখা যায়।
- তবে পুরুষদের তুলনায় নারীরা বেশি ভোগেন 'অ্যাফেসিয়া' যখন মস্তিষ্কের সামনের অংশ ক্ষতিগ্রস্ত হয়।
অনুচ্ছেদটি থেকে যে ধারণা পাওয়া যায় - তা হলো কথা বলার প্রক্রিয়ার ক্ষেত্রে পুরুষ ও মহিলাদের মস্তিষ্কের গঠন প্রক্রিয়া ভিন্ন প্রকৃতির।

সুতরাং, খ সঠিক।

এছাড়া গ ভুল কারণ মস্তিষ্কের ডানপাশের ব্যাপারে উদ্দীপকে কোনো তথ্য নেই।

ক তে সাধারণ সত্য প্রকাশিত হয়েছে কিন্তু উদ্দীপকের সাথে ক এর কথার অন্তর্নিহিত সম্পর্ক নেই।

আর ঘ ভুল কেননা মস্তিষ্ক গবেষকরা বিষয়টি নিয়ে বিতর্কে লিপ্ত নন বরং উৎসাহিত।

১২২.

If CAT = 48 and DOG = 52 then SUN will be equal to-

ক
74
খ
86
গ
92
ঘ
108

ব্যাখ্যা

Question: If CAT = 48 and DOG = 52 then SUN will be equal to-

Solution:

CAT = (3 × 2) + (1 × 2) + (20 × 2) = 48
DOG = (4 × 2) + (15 × 2) + (7 × 2) = 52
So, SUN = (19 × 2) + (21 × 2) + (14 × 2) = 108

১২৩.

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

ব্যাখ্যা

Question: A worker earns Tk. 250 on the first day and spends Tk. 200 on the second day, earns Tk. 250 on the third day and again spends Tk. 200 on the fourth day and so on. On which day would he have had Tk. 1000?

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

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

এখন, (১০০০ - ২৫০) = ৭৫০ টাকা।

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

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

সুতরাং ৩১ দিনে তার কাছে ১০০০ টাকা ছিল।

১২৪.

In a code, 'BREAD' is written as 12345 and 'MOUSE' is written as 67893. How is 'DREAM' written in the same code?

ক
52436
খ
52346
গ
52634
ঘ
53246
ঙ
54326

ব্যাখ্যা

Question: In a code, 'BREAD' is written as 12345 and 'MOUSE' is written as 67893. How is 'DREAM' written in the same code?

Solution:
BREAD is written as 12345
B = 1, R = 2, E = 3, A = 4, D = 5

MOUSE is written as 67893
M = 6, O = 7, U = 8, S = 9, E = 3

So, DREAM will be
D = 5, R = 2, E = 3, A = 4, M = 6

∴ DREAM = 52346

১২৫.

If all roses are flowers and some flowers fade quickly, which of the following is true?

ক
Some roses fade quickly
খ
No roses fade quickly
গ
All flowers are roses
ঘ
Couldn't be determined

ব্যাখ্যা

Solution: We know that some flowers fade quickly, but we cannot conclude anything definitive about the roses based on the information given.

so, it can't be said that the rose fades quickly because the rose is one of a kind of flower, and thus it's not definitive.

১২৬.

What is the reflex angle between the hands of a clock at 10:20?

ক
160.5°
খ
152°
গ
165.5°
ঘ
190°
ঙ
None of these

ব্যাখ্যা

Question: What is the reflex angle between the hands of a clock at 10:20?

Solution:
The angle between the hands of the clock is |11M - 60H|°/2
= |(11 × 20) - (60 × 10)|°/2
= |220 - 600|°/2
= |- 380|°/2
= 190°

∴ Reflex angle is 190°

১২৭.

Consider the following series: 3, 4, 6, 9, 13 ____ What comes next?

ক
ক) 15
খ
খ) 16
গ
গ) 17
ঘ
ঘ) 18
ঙ
ঙ) 19

ব্যাখ্যা

Question: Consider the following series: 3, 4, 6, 9, 13 ____ What comes next?

Solution:
Here,
4 - 3 = 1
6 - 4 = 2
9 - 6 = 3
13 - 9 = 4

∴ The number after 13 will be 13 + 5 = 18.

১২৮.

TALE : LATE :: ? : CAFE

ক
ক) FACE
খ
খ) CAEF
গ
গ) CEFA
ঘ
ঘ) FEAC

ব্যাখ্যা

Tale ==> LATE [First and third letter interchanged their positions.]
Thus,
FACE ==> CAFE.

১২৯.

Introducing a lady, Jamal said, "Her mother is the only daughter of my mother-in-law." What is Jamal to the lady?

ক
Son
খ
Uncle
গ
Husband
ঘ
Father

ব্যাখ্যা

Question: Introducing a lady, Jamal said, "Her mother is the only daughter of my mother-in-law." What is Jamal to the lady?

Solution:
জামালের শাশুড়ির একমাত্র কন্যা হলো জামালের নিজের স্ত্রী। আর ঐ মহিলার মা যদি জামালের স্ত্রী হন, তবে জামাল ঐ মহিলার বাবা।

∴ জামাল ঐ মহিলার বাবা (Father)।

১৩০.

At which marked point of a lever should less force be applied if the object needs to be lifted?

ক
A
খ
B
গ
Equal force should be applied
ঘ
None of these

ব্যাখ্যা

Question: At which marked point of a lever should less force be applied if the object needs to be lifted?

Solution:
The farther the force is applied from the fulcrum, the less force needs to be applied for an object of the same weight.

In case A, the distance from the fulcrum to the point of force application is greater, so less force needs to be applied.

In case B, the distance from the fulcrum to the point of force application is smaller, so more force needs to be applied.

১৩১.

If p is an even integer and q is an odd integer, which of the following must be an odd integer?

ক
11pq
খ
4(p + q)
গ
3p + q
ঘ
4p - q + 1

ব্যাখ্যা

Question: If p is an even integer and q is an odd integer, which of the following must be an odd integer?

Solution:
3 × even integer = even integer
So, 3p is an even integer

even integer + odd integer = odd integer

So,
3p + q must be an odd integer.

১৩২.

In the following arithmetic sequence: 7, 13, 19, 25,...... what is the place of the term with a value of 127?

ক
21
খ
30
গ
28
ঘ
25

ব্যাখ্যা

Question: In the following arithmetic sequence: 7, 13, 19, 25,...... what is the place of the term with a value of 127?

Solution:
Given,
n^th term = 127
a = 7
d = 13 - 7 = 6

We know,
n^th term = a + (n - 1)d
⇒ 127 = 7 + (n - 1)6
⇒ 127 = 7 + 6n - 6
⇒ 127 = 1 + 6n
⇒ 127 - 1 = 6n
⇒ 6n = 126
⇒ n = 126/6
∴ n = 21

১৩৩.

A man travels 8 miles towards north, 5 miles towards east, then again 4 miles towards north. What is the direct distance of destination from the starting point?

ক
11 miles
খ
13 miles
গ
17 miles
ঘ
√105 miles

ব্যাখ্যা

Question: A man travels 8 miles towards north, 5 miles towards east, then again 4 miles towards north. What is the direct distance of 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 (Vertical) দূরত্ব হলো (8 + 4) = 12 মাইল
এবং অতিক্রান্ত মোট অনুভূমিক (Horizontal) দূরত্ব হলো 5 মাইল।

পিথাগোরাসের সূত্রানুসারে,
AB² = (8 + 4)² + 5²
⇒ AB² = 12² + 5²
⇒ AB² = 144 + 25
⇒ AB² = 169
⇒ AB = √169
∴ AB = 13 miles

∴ সরাসরি দূরত্ব 13 মাইল।

১৩৪.

Through what angle does the minute hand of a clock turn in 12 minutes?

ক
60°
খ
72°
গ
75°
ঘ
80°

ব্যাখ্যা

Question: Through what angle does the minute hand of a clock turn in 12 minutes?

Solution:
আমরা জানি,
মিনিটের কাঁটা 60 মিনিটে ঘোরে 360°
∴ 1 মিনিটে ঘোরে 360°/60 = 6°
∴ 12 মিনিটে ঘোরে (12 × 6°) = 72°

অতএব, মিনিটের কাঁটা 12 মিনিটে 72° ঘুরবে।

১৩৫.

Which number is appropriate in place of question mark?

ক
40
খ
42
গ
45
ঘ
50

ব্যাখ্যা

Question: Which number is appropriate in place of question mark?

Solution:
7 + 5 = 12
12 + 6 = 18
18 + 7 = 25
25 + 8 = 33
33 + 9 = 42

১৩৬.

How many triangles are there in the figure below?

ক
12
খ
18
গ
22
ঘ
26

ব্যাখ্যা

Question: How many triangles are there in the figure below?

Solution:

উপরের চিত্রে,
সাধারণ ত্রিভুজ আছে AGF, FDH, GEI, BDJ, DHJ, HIJ, IEJ, EJC অর্থাৎ 8 টি ।

এক বা একাধিক বাহু ছেদ করে ঐ রকম ত্রিভুজ আছে - ABC, ADE, DEJ, FGJ, BJF, CJG, FDJ, GEJ, DJI, JEH অর্থাৎ 10 টি।

অর্থাৎ মোট ত্রিভুজ আছে = 10 + 8 = 18 টি

১৩৭.

Which number replaces the question mark?

ক
ক) 373
খ
খ) 439
গ
গ) 555
ঘ
ঘ) 849

ব্যাখ্যা

Question: Which number replaces the question mark?

Solution:
(2 + 1) × 3 = 9
(9 + 1) × 3 = 30
(30 + 1) × 3 = 93
(93 + 1) × 3 = 282
(282 + 1) × 3 =849

অতএব,ত্রিভুজের সংখ্যাটির সাথে ১ যোগ করে ৩ গুণ করলে পরের ত্রিভুজের সংখ্যা পাওয়া যায়।
∴ প্রশ্নবোধক স্থানে ৮৪৯ বসবে।

১৩৮.

Rana walked from A to B in the East 10 feet. Then she turned to the right and walked 3 feet. Again, she turned to the right and walked 14 feet. How far is she from A?

ক
3 ft
খ
5 ft
গ
4 ft
ঘ
7 ft

ব্যাখ্যা

Question: Rana walked from A to B in the East 10 feet. Then she turned to the right and walked 3 feet. Again, she turned to the right and walked 14 feet. How far is she from A?

Solution:

∴ Required Distance = AD
= √{3² + (14 - 10)²}
= √(3² + 4²)
= √(9 + 16)
= √25
= 5 ft

১৩৯.

What is the angle between the hour and minute hands of a clock when it is 15 minutes past 3?

ক
5°
খ
6.5°
গ
7.5°
ঘ
9°

ব্যাখ্যা

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

Solution:
15 minutes past 3 অর্থাৎ, ৩ টা 15 মিনিট।
= 3 + (15/60) ঘন্টা
= 3 + (1/4)
= 13/4 ঘন্টা

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

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

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

১৪০.

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.

১৪১.

How many triangles are there?

ক
14 triangles
খ
10 triangles
গ
12 triangles
ঘ
13 triangles

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.

১৪২.

Complete the series.
8, 24, 12, 36, 18, 54, .....

ক
108
খ
72
গ
68
ঘ
27

ব্যাখ্যা

Question: Complete the series.
8, 24, 12, 36, 18, 54, .....

Solution:
8 × 3 = 24
24 ÷ 2 = 12
12 × 3 = 36
36 ÷ 2 = 18
18 × 3 = 54
54 ÷ 2 = 27

১৪৩.

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
98°
খ
100°
গ
145°
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:
পার্থক্য = ৬ ঘন্টা

১২ ঘণ্টায় ঘোরে ৩৬০°
১ ঘন্টায় ঘোরে ৩৬০°/১২
৬ ঘণ্টায় ঘোরে = (৩৬০° × ৬)/১২ ঘণ্টা
= ১৮০°

১৪৪.

M is a girl and has the same number of brothers as sisters. N is a boy and has twice as many sisters as brothers. M and N are the children of Q. How many children does Q have?

ক
3
খ
4
গ
7
ঘ
9

ব্যাখ্যা

Question: M is a girl and has the same number of brothers as sisters. N is a boy and has twice as many sisters as brothers. M and N are the children of Q. How many children does Q have?

Solution:
Let d and s represent the number of daughters and sons respectively.
Then, we have :
d - 1 = s
and
2(s - 1) = d
2s - 2 = s + 1
2s - s = 1 + 2
s = 3

d = 3 + 1 = 4

Total children = 4 + 3 = 7

১৪৫.

Find the missing number.

ক
ক) 10
খ
খ) 25
গ
গ) 50
ঘ
ঘ) 100

ব্যাখ্যা

Find the missing number.

Solution:
১ম চিত্রে, ১৬ = ৮ × ২
৫০ = ২৫ × ২
২৬ = ১৩ × ২

দ্বিতীয় চিত্রে,
৮ = ৮ × ১
২৫ = ২৫ × ১
১৩ = ১৩ × ১

তৃতীয় চিত্রে,
৩২ = ৮ × ৪
৫২ = ১৩ × ৪
তাহলে খালি ঘরে ২৫ × ৪ = ১০০ বসবে।

১৪৬.

What is the angle between the hour and minute hands of a clock when it is 10 minutes past 3?

ক
25°
খ
45°
গ
35°
ঘ
30°

ব্যাখ্যা

Question: What is the angle between the hour and minute hands of a clock when it is 10 minutes past 3?

Solution:
10 minutes past 3 অর্থাৎ, 3 টা 10 মিনিট।
= 3 + (10/60) ঘন্টা
= 3 + 1/6
= 19/6 ঘন্টা

আমরা জানি,
ঘণ্টার কাঁটা 12 ঘণ্টায় 360° ঘোরে।
∴ 1 ঘণ্টায় ঘোরে = 360°/12 = 30°
∴ 19/6 ঘন্টায় ঘোরে = 30 × (19/6) = 570/6 = 95°

মিনিটের কাঁটা 60 মিনিটে 360° ঘোরে।
∴ 1 মিনিটে ঘোরে = 360°/60 = 6°
∴ 10 মিনিটে ঘোরে = 10 × 6 = 60°

∴ ঘড়ির কাঁটা দুটির মধ্যবর্তী কোণ = |95° - 60°| = 35°

১৪৭.

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

ক
235
খ
253
গ
257
ঘ
255

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

১৪৮.

What will come at the place of the question mark?
5, 6, 8, 12, 20, ?

ক
28
খ
30
গ
32
ঘ
36

ব্যাখ্যা

Question: What will come at the place of the question mark?
5, 6, 8, 12, 20, ?

Solution:
5 + 1 =6
6 + 2 = 8
8 + 4 = 12
12 + 8 = 20
20 + 16 = 36

১৪৯.

A Parking lot Contains 160 Vehicles. Each Vehicle is either a car or a motorcycle, and each vehicle is either red or green. 70 vehicles are red, and 120 vehicles are cars. If there are 18 green motorcycles, how many red cars are there?

ক
45
খ
48
গ
50
ঘ
54

ব্যাখ্যা

Question: A Parking lot Contains 160 Vehicles. Each Vehicle is either a car or a motorcycle, and each vehicle is either red or green. 70 vehicles are red, and 120 vehicles are cars. If there are 18 green motorcycles, how many red cars are there?

Solution:
গাড়ি আছে ১২০ টি
মোটরসাইকেল = ১৬০ - ১২০ = ৪০ টি

লাল মোটরসাইকেল = ৪০ - ১৮ = ২২ টি
লাল গাড়ি = ৭০ - ২২ = ৪৮ টি

১৫০.

Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?

ক
14
খ
18
গ
1
ঘ
23

ব্যাখ্যা

Question: Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?

Solution:
Given that, the series is: 53, 53, 40, 40, 27, 27, ...

Pattern - Each number is repeated twice, and the values themselves decrease by 13 each time.
1^st = 53
2^nd = 53 - 13 = 40 ⇒ 40
3^rd = 40 - 13 = 27 ⇒ 27
4^th = 27 - 13 = 14 ⇒ 14

So the next two numbers should be 14, 14.

So the number that should come next is 14.

১৫১.

Find the number of triangles in the given figure.

ক
14
খ
16
গ
13
ঘ
15

ব্যাখ্যা

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

Solution:

Triangles with one empty cell each: 1, 2, 3, 4, 5, 6 = 6 triangles
Triangles with two empty cells each: 23, 45, 16 = 3 triangles
Triangles with three empty cells each: 123, 234, 345, 456, 126, 156 = 6 triangles
Triangle with all cells filled: 123456 = 1 triangle

Therefore, total number of triangles = 6 + 6 + 3 + 1 = 16

১৫২.

If A's position is west of B, B's position is north of C and D's position is south of A, then on which side of C will D's position be?

ক
East
খ
West
গ
North
ঘ
South

ব্যাখ্যা

Question: If A's position is west of B, B's position is north of C and D's position is south of A, then on which side of C will D's position be?

Solution:

A- এর অবস্থান B- এর পশ্চিম দিকে
B-এর অবস্থান C থেকে উত্তরে এবং
D-এর অবস্থান A থেকে দক্ষিণে

∴ D-এর অবস্থান C-এর পশ্চিম দিকে।

১৫৩.

Which one will complete the series:
BKS, DJT, FIU, HHV, JGW, ___ ?

ক
LFV
খ
KFX
গ
LEX
ঘ
LFX

ব্যাখ্যা

Question: Which one will complete the series:
BKS, DJT, FIU, HHV, JGW, ___ ?

Solution:
প্রতিটি অংশে ৩ টি বর্ণ আছে।

১ম বর্ণ গুলোয় একটি বর্ণটি বাদ দিয়ে পরের বর্ণটি বসে।
B এর এক বর্ণ পর D , D এর পর একটি বর্ণ বাদ দিয়ে F, অতএব শূন্য স্থানে প্রথম বর্ণটি হবে J এর এক বর্ণ পরের বর্ণ L

২য় বর্ণগুলোয় ক্রমান্বয়ে পূর্বের বর্ণটি বসে।
k এর আগের বর্ণ J, J এর আগের বর্ণ I, অতএব শূন্যস্থানে ২য় বর্ণটি হবে F

৩য় বর্ণগুলোয় ক্রমান্বয়ে পরের বর্ণটি বসে।
S এর পরের বর্ণ T, T এর পরের বর্ণ U, অতএব শূন্যস্থানে ৩য় বর্ণটি হবে X

শূন্যস্থানে বসবে LFX

১৫৪.

If in a certain language, GARDEN is coded as 714526, and SAND is coded as 9165, then how is DANGERS coded in the same language?

ক
1597632
খ
7125649
গ
5167249
ঘ
1672495

ব্যাখ্যা

Question: If in a certain language, GARDEN is coded as 714526, and SAND is coded as 9165, then how is DANGERS coded in the same language?

Solution:
GARDEN is coded 714526
G = 7
A = 1
R = 4
D = 5
E = 2
N = 6

SAND is coded as 9165
S = 9
A = 1
N = 6
D = 5

∴ DANGERS is coded as:
D = 5
A = 1
N = 6
G = 7
E = 2
R = 4
S = 9

∴ DANGERS = 5167249

১৫৫.

Unless new reserves are found, the world's supply of coal is being depleted in such a way that with demand continuing to grow at present rate, reserves will be exhausted by the year 2050. What is the best conclusion that can be drawn from the above paragraph?

ক
ক) It is the time to search for alternative.
খ
খ) New reserves of coal would be found before 2050.
গ
গ) Demand for coal is growing fast.
ঘ
ঘ) World's coal reserve is declining .

ব্যাখ্যা

বিশ্বের কয়লার সরবরাহ এমনভাবে হ্রাস পাচ্ছে যে বর্তমান হারে চাহিদা বৃদ্ধি অব্যাহত থাকলে এবং নতুন মজুদ পাওয়া না গেলে, মজুদ 2050 সালের মধ্যে শেষ হয়ে যাবে। এক্ষেত্রে আমাদের করণীয় হলো।
কয়লার বিকল্প ব্যবস্থা খুঁজে বের করা। কারণ নতুন কয়লার মজুদ আমরা নাও পেতে পারি। তাই এমন উৎস খোঁজা উচিত যা অফুরন্ত। যেমন: নবায়নযোগ্য শক্তি (সূর্য শক্তি, জল শক্তি, বায়ু শক্তি, বায়োমাস ইত্যাদি।)

তাই সঠিক উত্তর হবে, ক।

১৫৬.

Arrange the words given below in a meaningful sequence. 1. Boil, 2. Serve, 3. Wash, 4. Chop, 5. Cook

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

ব্যাখ্যা

Question: Arrange the words given below in a meaningful sequence.
1. Boil, 2. Serve, 3. Wash, 4. Chop, 5. Cook

Solution:
Wash ⇒ Chop ⇒ Boil ⇒ Cook ⇒ Serve
3 ⇒ 4 ⇒ 1 ⇒ 5 ⇒ 2

১৫৭.

Country : President :: State : ?

ক
ক) Governor
খ
খ) M.P
গ
গ) Legislator
ঘ
ঘ) Minister

ব্যাখ্যা

As President is the nominal head of a country, similarly Governer is the nominal head of a State.

১৫৮.

If 26 August of a certain year was Tuesday, what day was 29 September of that year?

ক
Sunday
খ
Monday
গ
Wednesday
ঘ
Tuesday

ব্যাখ্যা

Question: If 26 August of a certain year was Tuesday, what day was 29 September of that year?

Solution:
From 26 August to 29 September,
= 6 + 29 days
= 35 days

The same weekday repeats after every 7 days (or multiples of 7).

So, the 36th day would be Tuesday again.
Therefore, the 35th day (29 September) was Monday.

১৫৯.

If LOAD = DAOL, then ROAD = ?

ক
RDAO
খ
RADO
গ
OARD
ঘ
DAOR

ব্যাখ্যা

Question: If LOAD = DAOL, then ROAD = ?

Solution:
LOAD = DAOL এর L আর D এবং O আর A নিজেদের মধ্যে স্থান পরিবর্তন করেছে।

একইভাবে,
ROAD শব্দের R আর D এবং O আর A নিজেদের মধ্যে স্থান পরিবর্তন করেছে।

∴ ROAD = DAOR

১৬০.

What is the odd one out?

ক
cotton
খ
nylon
গ
linen
ঘ
silk

ব্যাখ্যা

Question: What is the odd one out?

Solution:
Cotton, linen, and silk are all natural fibers derived from plants or animals.

Cotton comes from the cotton plant.
Linen comes from the flax plant.
Silk comes from silkworms.

Nylon, on the other hand, is a synthetic fiber made from petrochemicals, meaning it is man-made rather than derived from natural sources.
Thus, nylon is the odd one out.

১৬১.

Which of the following is the least like the others?

ক
ক) cube
খ
খ) sphere
গ
গ) pyramid
ঘ
ঘ) circle
ঙ
ঙ) None of these

ব্যাখ্যা

Question: Which of the following is the least like the others?

Solution:
The other options (cube, sphere, pyramid) are all three-dimensional geometric shapes, while a circle is a two-dimensional shape.

১৬২.

Through what angle does the minute hand of a clock turn in 15 minutes?

ক
60°
খ
30°
গ
90°
ঘ
75°

ব্যাখ্যা

Question: Through what angle does the minute hand of a clock turn in 15 minutes?

Solution:
We know,
Angle traced by the minute hand in 60 minutes = 360°

∴ Angle of the minute hand in 15 minutes,
= (360 × 15)/60
= 90°

১৬৩.

It is between 3 pm and 4 pm and the distance between the hour hand and the minute hand of clock is 18 minutes spaces. What time does the clock show?

ক
3 : 12 pm
খ
3 : 27 pm
গ
3 : 31 pm
ঘ
3 : 36 pm

ব্যাখ্যা

Question: It is between 3 pm and 4 pm and the distance between the hour hand and the minute hand of clock is 18 minutes spaces. What time does the clock show?

Solution:
At 3 o'clock, the minute hand is 15 minute spaces behind the hour hand.
Thus, the minute hand has to gain (15 + 18) = 33 minute spaces

55 minutes are gained in 60 minutes.
33 minutes are gained in (60/55)×33)
= 36 minutes

∴ The hands will be 18 minutes spaces apart at 3 : 36 pm.

১৬৪.

What will come at the place of question mark?
3, 10, 24, 45, 73, ?

ক
98
খ
103
গ
113
ঘ
108

ব্যাখ্যা

Question: What will come at the place of question mark?
3, 10, 24, 45, 73, ?

Solution:
পার্থক্যগুলো বের করি:
10 - 3 = 7
24 - 10 = 14
45 - 24 = 21
73 - 45 = 28

প্রতিবার পার্থক্য 7 করে বৃদ্ধি পাচ্ছে।
∴ পরবর্তী পার্থক্য হবে = 28 + 7 = 35
∴ পরবর্তী সংখ্যা = 73 + 35 = 108

১৬৫.

Asha and Disha are cousins. Rakib is Asha's mother's husband. Tanvir is the son of Himejima and the father of Disha. Who is Asha to Himejima?

ক
Grand father
খ
Uncle
গ
Grand child
ঘ
Father

ব্যাখ্যা

Question: Asha and Disha are cousins. Rakib is Asha's mother's husband. Tanvir is the son of Himejima and the father of Disha. Who is Asha to Himejima?

Solution:
Himejima is the father of Tanvir,
Disha is the daughter of Tanvir.

Disha and Asha are cousins, and Tanvir and Rakib are brothers.

so Asha is the grand child of Himejima.

১৬৬.

Which number will complete the series:
155, 151, 147, 143, 139, ........?

ক
133
খ
135
গ
134
ঘ
132

ব্যাখ্যা

Question: Which number will complete the series:
155, 151, 147, 143, 139, ........?

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

Hence the number= 135.

১৬৭.

The hour hand of an analog clock moves (1/60)^th of a degree every minute. Then how many degrees will the hour hand move in one hour?

ক
ক) 1 degree
খ
খ) 2 degree
গ
গ) 3 degree
ঘ
ঘ) 4 degree
ঙ
ঙ) 5 degree

ব্যাখ্যা

Question: The hour hand of an analog clock moves (1/60)^th of a degree every minute. Then how many degrees will the hour hand move in one hour?

Solution:
We know that,
1 hour = 60 minutes

The hour hand moves in 1 min = 1°/60
∴ The hour hand moves in 60 min = (1 × 60)°/60
= 1°

১৬৮.

A man has Tk. 1050 in the denominations of five-taka notes, ten-taka notes and twenty-taka notes. The number of notes of each denomination is equal. What is the total number of notes that he has?

ক
60
খ
75
গ
90
ঘ
120

ব্যাখ্যা

Question: A man has Tk. 1050 in the denominations of five-taka notes, ten-taka notes and twenty-taka notes. The number of notes of each denomination is equal. What is the total number of notes that he has?

Solution:
ধরি, 5 টাকা, 10 টাকা ও 20 টাকার নোটের সংখ্যা প্রত্যেকটি = x

∴ মোট টাকা = 5x + 10x + 20x
= 35x

প্রশ্নমতে,
35x = 1050
∴ x = 1050/35
= 30

অতএব,
5 টাকার নোট = 30
10 টাকার নোট = 30
20 টাকার নোট = 30

∴ মোট নোটের সংখ্যা = 30 + 30 + 30
= 90

১৬৯.

In a row of trees, a tree is 7^th from the left and 14^th from the right end. How many trees are there in the row?

ক
18
খ
19
গ
20
ঘ
21

ব্যাখ্যা

Question: In a row of trees, a tree is 7^th from the left and 14^th from the right end. How many trees are there in the row?

Solution:
Total number of trees,
= 7 + 14 - 1
= 20

১৭০.

How many numbers between 1 to 100 which are divisible by 3 or 5?

ক
ক) 53
খ
খ) 47
গ
গ) 49
ঘ
ঘ) 51

ব্যাখ্যা

Question: How many numbers between 1 to 100 which are divisible by 3 or 5?

Solution:
The numbers which are divisible by 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100.
Total = 20

The numbers which are divisible by 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99
Total = 33

The numbers which are divisible by both 3 and 5 are: 15, 30, 45, 60, 75, 90
Total = 6

∴ Total number of numbers between 1 to 100 which are divisible by 3 or 5 = 20 + 33 - 6
= 53 - 6
= 47

১৭১.

What number should come next in the series:
5, 8, 14, 26, 50, .......?

ক
88
খ
92
গ
98
ঘ
102
ঙ
110

ব্যাখ্যা

Question: What number should come next in the series:
5, 8, 14, 26, 50, .......?

Solution:
দেওয়া আছে, সিরিজটি হলো: 5, 8, 14, 26, 50, ...

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

5 থেকে 8 পর্যন্ত পার্থক্য: 3
8 থেকে 14 পর্যন্ত পার্থক্য: 6 (3 × 2)
14 থেকে 26 পর্যন্ত পার্থক্য: 12 (6 × 2)
26 থেকে 50 পর্যন্ত পার্থক্য: 24 (12 × 2)
সুতরাং, পরবর্তী পার্থক্যটি হবে: 24 × 2 = 48

পরবর্তী সংখ্যাটি হবে শেষ সংখ্যা এবং এই পার্থক্যের যোগফল: 50 + 48 = 98

অতএব, পরবর্তী সংখ্যাটি হলো 98

১৭২.

What will be the next word of the series? ZAS, YBR, XCQ, ........

ক
DRW
খ
WES
গ
WDP
ঘ
HDP

ব্যাখ্যা

Question: What will be the next word of the series?
ZAS, YBR, XCQ, ........

Solution:
ZAS, YBR, XCQ,
from the series
the first letter of each word is in the opposite direction of X, Y, and Z. So, the letter before X is W

next letter is in the sequence of A, B, C. so the next letter will be D
third letter of the series is also in the opposite direction Q, R, and S . So, the letter before Q is P

১৭৩.

What mathematical sign should be inserted between 2 and 3 so that the sum of the two digits becomes more than 2, but less than 3?

ক
÷
খ
√
গ
×
ঘ
.

ব্যাখ্যা

Question: What mathematical sign should be inserted between 2 and 3 so that the sum of the two digits becomes more than 2, but less than 3?

Solution:
এখানে, 2 ও 3 এর মধ্যে দশমিক বসালে সংখ্যাটি হয় 2.3, যা 2 থেকে বড় এবং 3 থেকে ছোট।

১৭৪.

Find out the missing number in the following series. 65536, 256, 16, _____?

ক
ক) 2
খ
খ) 4
গ
গ) 6
ঘ
ঘ) 8

ব্যাখ্যা

Question: Find out the missing number in the following series. 65536, 256, 16, _____?

Solution:
√65536 = 256
√256 = 16

∴ শূন্যস্থানে বসবে = √16
= 4

১৭৫.

An accurate clock shows 10:00 AM. Through how many degrees will the hour hand rotate when the clock shows 4:00 PM?

ক
90°
খ
150°
গ
180°
ঘ
210°

ব্যাখ্যা

Question: An accurate clock shows 10:00 AM. Through how many degrees will the hour hand rotate when the clock shows 4:00 PM?

Solution:
10:00 AM থেকে 4:00 PM পর্যন্ত অতিবাহিত সময় = 6 ঘণ্টা।

আমরা জানি,
ঘণ্টার কাঁটা 12 ঘণ্টায় ঘোরে 360°
∴ 1 ঘণ্টায় ঘোরে = 360°/12 = 30°
∴ 6 ঘণ্টায় ঘোরে = 6 × 30° = 180°

অতএব, 10:00 AM থেকে 4:00 PM পর্যন্ত ঘণ্টার কাঁটাটি 180° ঘুরবে।

১৭৬.

Which number replaces the question mark?

ক
4
খ
45
গ
6
ঘ
36

ব্যাখ্যা

Question: Which number replaces the question mark?

Solution:
প্রথম কলামের ক্ষেত্রে,
27 - (7 × 2) = 27 - 14 = 13

দ্বিতীয় কলামের ক্ষেত্রে,
144 - (45 × 2) = 144 - 90 = 54

একইভাবে, তৃতীয় কলামের ক্ষেত্রে,
68 - (32 × 2) = 68 - 64 = 4

∴ প্রশ্নবোধক চিহ্নের স্থানে 4 বসবে।

১৭৭.

If in a certain language PRIVATE is coded 1234567 and RISK is coded as 2398. How is KITE coded in the language?

ক
8567
খ
8367
গ
5678
ঘ
8357

ব্যাখ্যা

Question: If in a certain language PRIVATE is coded 1234567 and RISK is coded as 2398. How is KITE coded in the language?

Solution:
PRIVATE is coded 1234567
P = 1
R = 2
I = 3
V = 4
A = 5
T = 6
E = 7
RISK is coded as 2398
R = 2
I = 3
S = 9
K = 8

∴ KITE = 8367

১৭৮.

'Retard' is to 'Impel' as 'Obfuscate' is to -

ক
Hallucinate
খ
Confuse
গ
Irradiate
ঘ
Dampen

ব্যাখ্যা

Retard অর্থ ⇒ দমন করা; প্রতিহত করা; হ্রাস করা
Impel অর্থ ⇒ বাধ্য/প্রণোদিত/প্ররোচিত/প্রবত্ত/প্রবর্তিত করা
সুতরাং বিপরীত অর্থে ব্যবহৃত হয়েছে।

Obfuscate অর্থ ⇒ আচ্ছন্ন করা; বিভ্রান্ত বা হতবুদ্ধি করা।

Hallucinate অর্থ ⇒ যা চোখের সামনে নেই তা দেখা; কল্পিত বস্তু দেখা।
Confuse অর্থ ⇒ গুলিয়ে ফেলা; বিশৃঙ্খল করা; বিভ্রান্ত বা কিংকর্তব্যবিমূঢ় হওয়া বা করা।
Irradiate অর্থ ⇒ কিছুর উপর রশ্মিপাত/কিরণবর্ষণ করা; সূর্যকিরণ, অতিবেগুনি রশ্মি বা তেজনিস্ক্রয়তার অধীন করা; কোনো বিষয়ের উপর আলোকপাত করা; দীপিত করা; উদ্ভাসিত করা।
Dampen অর্থ ⇒ নীরস করা

সকল অর্থ থেকে বুঝা যায় Obfuscate এবং Irradiate বিপরীত অর্থবিশিষ্ট।

উৎস: Accessible Dictionary.

১৭৯.

If ÷ means ×, × means +, + means - and - means +, find the value of 16 × 3 + 5 - 2 ÷ 4.

ক
7
খ
12
গ
16
ঘ
22

ব্যাখ্যা

Question: If ÷ means ×, × means +, + means - and - means +, find the value of 16 × 3 + 5 - 2 ÷ 4.

Solution:
16 × 3 + 5 - 2 ÷ 4
=16 + 3 - 5 + 2 × 4
= 27 - 5
= 22

১৮০.

A car wheel rotates 12 times per minute. How many degrees does the wheel rotate in 5 seconds?

ক
720°
খ
360°
গ
90°
ঘ
180°

ব্যাখ্যা

Question: A car wheel rotates 12 times per minute. How many degrees does the wheel rotate in 5 seconds?

Solution:
We know that
1 minute = 60 seconds

The wheel rotates 12 times in 60 seconds.
∴ In 1 second the wheel rotates 12/60 = 1/5 of a full rotation.
∴ In 5 seconds the wheel rotates 12 × (5/60) = 60/60 = 1 full rotation.

∴ A full rotation = 360°

Therefore, the wheel rotates 360° in 5 seconds.

১৮১.

In a race, Amir finished ahead of Sara but behind Rehan. Sara finished ahead of Nabil but behind Ali. Nabil finished ahead of Zain and Ail finished behind Amir. Who came first in the race?

ক
Ali
খ
Amir
গ
Rehan
ঘ
Sara
ঙ
Nabil

ব্যাখ্যা

Question: In a race, Amir finished ahead of Sara but behind Rehan. Sara finished ahead of Nabil but behind Ali. Nabil finished ahead of Zain and Ail finished behind Amir. Who came first in the race?

Solution:
Amir finished ahead of Sara but behind Rehan
⇒ Rehan > Amir > Sara

Sara finished ahead of Nabil but behind Ali
⇒ Ali > Sara > Nabil

Nabil finished ahead of Zain
⇒ Nabil > Zain
Ail finished behind Amir
⇒ Amir > Ali

Rehan > Amir > Ali > Sara > Nabil > Zain

∴ Rehan came first in the race.

১৮২.

Nazir walks 10 km towards the north. From there, he walks 6 km towards the south. Then he walks 3 km towards the east. How far and in which direction is he with reference to his starting point?

ক
ক) 5 km, West
খ
খ) 5 km, North-East
গ
গ) 7 km, East
ঘ
ঘ) 7 km, South-East

ব্যাখ্যা

Question: Nazir walks 10 km towards the north. From there, he walks 6 km towards the south. Then he walks 3 km towards the east. How far and in which direction is he with reference to his starting point?

Solution

From the figure, we get OC which is the required distance,

OC = √(OB² + BC²)
OC = √(4² + 3²)
OC = 5 km (North-East)

১৮৩.

P, Q, R, S, T and U were sitting around a circular table, facing the centre. They were sitting at equal distances from one another. T and R were sitting exactly next to each other. P was at the immediate right of U. Q was at the immediate left of T. R is third to the left of S. Who is sitting to the immediate left of Q?

ক
P
খ
S
গ
Q
ঘ
T

ব্যাখ্যা

Question: P, Q, R, S, T and U were sitting around a circular table, facing the centre. They were sitting at equal distances from one another. T and R were sitting exactly next to each other. P was at the immediate right of U. Q was at the immediate left of T. R is third to the left of S. Who is sitting to the immediate left of Q?

Solution:

- Q was at the immediate left of T.
- T and R were sitting exactly next to each other.
- R is third to the left of S.
- P was at the immediate right of U.
- S is sitting to the immediate left of Q.

Hence, the correct answer is S.

১৮৪.

If in a certain language, PLAYER Is coded as QNDCJX, then how SINGER will be coded in the same language?

ক
TKQKJX
খ
TKJKQX
গ
TXQKXJ
ঘ
TKQXJK

ব্যাখ্যা

Question: If in a certain language, PLAYER Is coded as QNDCJX, then how SINGER will be coded in the same language?

Solution:

PLAYER
P + 1 = Q
L + 2 = N
A + 3 = D
Y + 4 = C
E + 5 = J
R + 6 = X
PLAYER = QNDCJX

SINGER
S + 1 = T
I + 2 = K
N + 3 = Q
G + 4 = K
E + 5 = J
R + 6 = X
SINGER = TKQKJX

১৮৫.

Which one will sit in the blank?
QPO, NML, KJI, _____, EDC

ক
GHI
খ
JKL
গ
CAB
ঘ
HGF

ব্যাখ্যা

Question: Which one will sit in the blank?
QPO, NML, KJI, _____, EDC

Solution:
এই সিরিজটি একটি বিপরীত বর্ণানুক্রমিক অক্ষর নিয়ে গঠিত।
শেষের দিক থেকে C D E, F G H, I J K, L M N, O P Q

∴ শূন্যস্থানে HGF বসবে।

১৮৬.

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

ক
Today
খ
Tomorrow
গ
Day after tomorrow
ঘ
Two days after today
ঙ
None of these

ব্যাখ্যা

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

Solution:
Day before yesterday was Thursday
⇒ Yesterday was a Friday
⇒ Today is a Saturday
⇒ Tomorrow is a Sunday

১৮৭.

At 3 : 40, the hour hand and the minute hand of a clock form an angle of-

ক
120°
খ
125°
গ
130°
ঘ
135°

ব্যাখ্যা

Question: At 3 : 40, the hour hand and the minute hand of a clock form an angle of-

Solution:
কোণ =│(১১×মিনিট - ৬০×ঘন্টা)/২│°
=│(১১ × ৪০ - ৬০ × ৩)/২│°
=│(৪৪০ - ১৮০)/২│°
=│২৬০/২│°
= ১৩০°

১৮৮.

Which of the following comes first in dictionary order?

ক
Mausoleum
খ
Mauve
গ
Mane
ঘ
Maundy

ব্যাখ্যা

Question: Which of the following comes first in dictionary order?

Solution:
প্রথম শব্দটি হবে Mane, কারণ এটি শুরুতেই আলাদা (Mane ≠ Mau...)

বাকি তিনটি শব্দ: Mausoleum, Mauve, Maundy – এদের শুরুতে রয়েছে "Mau"
এর পরের অক্ষরগুলো হলো: s (Mausoleum), v (Mauve), n (Maundy)

Dictionary order অনুযায়ী: n < s < v
⇒ Mane → ১ম
⇒ Maundy → ২য়
⇒ Mausoleum → ৩য়
⇒ Mauve → ৪র্থ

১৮৯.

Find the missing letter marked (?) in the series
C, H, M, ?, W, B.

ক
ক) S
খ
খ) P
গ
গ) Q
ঘ
ঘ) R
ঙ
ঙ) Z

ব্যাখ্যা

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

Solution:

C, H, M, ?, W, B
3, 8, 13, ?, 23, 28 [ Here the position number of B shown 28 because of cyclic count]
Here,
8 - 3 = 5
13 - 8 = 5
and,
28 - 23 = 5
So, the position number of '?' marked place will be 13 + 5 = 18
So, the Letter will be 'R'.

১৯০.

In a certain code, MOUSE is written as 51438 and SEND is written as 3826, how is SOUND written in that code?

ক
62143
খ
41362
গ
35642
ঘ
31426

ব্যাখ্যা

Question: In a certain code, MOUSE is written as 51438 and SEND is written as 3826, how is SOUND written in that code?

Solution:
Given,
M = 5
O = 1
U = 4
S = 3
E = 8

and,
S = 3
E = 8
N = 2
D = 6

So SOUND is written in that code:
S = 3
O = 1
U = 4
N = 2
D = 6

১৯১.

A husband and wife have six married sons. Each of them has four children. The total number in the family is:

ক
32
খ
34
গ
36
ঘ
38

ব্যাখ্যা

Question: A husband and wife have six married sons. Each of them has four children. The total number in the family is:

Solution:
A husband and wife = 2
six married sons = 6 + 6 (wives) = 12
Each of them has four children = 6 × 4 = 24

∴ The total number in the family is = 2 + 12 + 24
= 38

১৯২.

Payel is taller than Belal, who is shorter than Priyamani. Utshob is taller then Priyanka but shorter than Belal. Priyamani is shorter than Payel. Who is the tallest?

ক
Priyanka
খ
Belal
গ
Priyamani
ঘ
Payel

ব্যাখ্যা

প্রশ্ন: Payel is taller than Belal, who is shorter than Priyamani. Utshob is taller then Priyanka but shorter than Belal. Priyamani is shorter than Payel. Who is the tallest?

সমাধান:
Arranging,
Payel > Priyamani > Belal > Utshob > Priyanka

So, Payel is the tallest.

১৯৩.

What is the miximum number of 3 × 3 squares that can be formed form the squares in the 6 × 6 checker board to the right?

ক
4
খ
12
গ
24
ঘ
16

ব্যাখ্যা

Question: What is the miximum number of 3 × 3 squares that can be formed form the squares in the 6 × 6 checker board to the right?

Solution:
Let's consider the picture above.
For each row we can pick exactly 4 different groups of 3 consecutive boxes.
In the same manner, for each column we can select 4 different groups of 3 consecutive boxes.

Therefore, we find the maximum number of (3 × 3) squares of the chessboard,
4 × 4 = 16

১৯৪.

Silence : Noise-

ক
ক) Quiet : Peace
খ
খ) Baldness : Hair
গ
গ) Talk : Whisper
ঘ
ঘ) Sing : Dance

ব্যাখ্যা

As Silence is opposite to noise, similarly Baldness is opposite to Hair.

১৯৫.

What is the angle between the hour and minute hand of a clock when it is 9 : 30 pm?

ক
98.5°
খ
100°
গ
105°
ঘ
110°

ব্যাখ্যা

Question: What is the angle between the hour and minute hand of a clock when it is 9 : 30 pm?

Solution:
9টা 30 মিনিট = 9 + (30/60) ঘন্টা
= 9 + 1/2 = 19/2 ঘন্টা

আমরা জানি,
ঘণ্টার কাঁটা 12 ঘণ্টায় 360° ঘোরে।
∴ 1 ঘণ্টায় ঘোরে = 360°/12 = 30°
∴ 19/2 ঘণ্টায় ঘোরে = (30° × 19)/2
= 15 × 19 = 285°
আবার,

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

∴ ঘড়ির কাঁটা দুটির মধ্যবর্তী কোণ = |285° - 180°| = 105°

১৯৬.

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:
3 ∗ 5 + 5 ∗ 3

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

১৯৭.

How many degrees are between the hands of a clock at 4:30?

ক
75°
খ
55°
গ
45°
ঘ
35°

ব্যাখ্যা

Question: How many degrees are between the hands of a clock at 4:30?

Solution:
Value of angle = {(11×30) - (60 × 4)}/2
= (330 - 240)/2
= 90/2
= 45°

১৯৮.

In a certain language PENSION is coded as NEISNOP, how is FOLLAGE coded in that code?

ক
ক) EOALLGF
খ
খ) OFILGAE
গ
গ) FGLIAOE
ঘ
ঘ) None of these

ব্যাখ্যা

Question: In a certain language PENSION is coded as NEISNOP, how is FOLLAGE coded in that code?

Solution:
PENSION ⇔ NEISNOP
P ⇒ E ⇒ N ⇒ S ⇒ I ⇒ O ⇒ N
1 ⇒ 2 ⇒ 3 ⇒ 4 ⇒ 5 ⇒ 6 ⇒ 7
N ⇒ E ⇒ I ⇒ S ⇒ N⇒ O ⇒ P
Here,
Letters of 1st and 7th position inter-change their position.
Letters of 3rd and 5th position also inter-change their position.
And the letters of even number position remain same.

F ⇒ O ⇒ L ⇒ L ⇒ A ⇒ G ⇒ E
1 ⇒ 2 ⇒ 3 ⇒ 4 ⇒ 5 ⇒ 6 ⇒ 7
E ⇒ O ⇒ A ⇒ L ⇒ L ⇒ G ⇒ F

∴ FOLLAGE ⇔ EOALLGF

১৯৯.

Today is Monday. After 100 days, what day of the week will it be?

ক
Tuesday
খ
Wednesday
গ
Thursday
ঘ
Friday

ব্যাখ্যা

Question: Today is Monday. After 100 days, what day of the week will it be?

Solution:
Each day of the week is repeated after 7 days.
So, after (7 × 14) = 98 days, it will be Monday.
After 99 days, it will be Tuesday.
∴ After 100 days, it will be Wednesday.

২০০.

Today is Friday. After 60 days, what day of the week will it be?

ক
Sunday
খ
Tuesday
গ
Monday
ঘ
Thursday

ব্যাখ্যা

Question: Today is Friday. After 60 days, what day of the week will it be?

Solution:
Each day of the week is repeated after 7 days.
So, after (7 × 8) = 56 days, it will be Friday.
After 57 days, it will be Saturday.
After 58 days, it will be Sunday.
After 59 days, it will be Monday.

∴ After 60 days, it will be Tuesday.