601 . 8 years ago, the ratio of A's age to B's age was 4 :5 At present the ratio of B's age and C's age is 4 : 5 At present , the difference between A's age and C's age is 20 years, then what is the sum of the ages of A, B and C?

A. 138 years
B. 164 years
C. 148 years
D. 152 years

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Answer: Option C

Explanation:

A:B  = 4 :5 [8 years ago] 
 = 32:40 [multiplying by 12]
 = 32   +  8:40   +  8 [present]
 = 40 :48
B:C  = 4 : 5
 = 48 : 60 [multiplying by 12]
∴ A :B :C  = 40 : 48 : 60 
The sum of the ages of 
A,B and C 
 = 40   +  48   +  60 
 = 148 years

জনতা ও রূপালী ব্যাংক- অফিসার ১৩.১২.২০১৯

A. 150
B. 140
C. 130
D. 160

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Answer: Option D

Explanation:

Let's call the number we're trying to find "x." According to the problem, when we add 85% of x to 24, we get the same number x. Mathematically, this can be expressed as:

0.85x + 24 = x

Now, let's solve for x:

First, subtract 0.85x from both sides of the equation:

0.85x - 0.85x + 24 = x - 0.85x

24 = 0.15x

Next, divide both sides by 0.15 to isolate x:

x = 24 / 0.15

x = 160

So, the number is 160

603 . 8597- ? = 7429 - 4358

A. 5426
B. 5706
C. 5526
D. 5476

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Answer: Option C

Explanation:

Step 1: 7429-4358 = 3071

Step 2:

let , 8597 - x = 3071

x = 8597 - 3071

x = 5526

Ans: 5526

604 . 88% of 370 + 24% of 210-?= 118. What stands for question mark?

A. 256
B. 258
C. 268
D. 358

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Answer: Option B

Explanation:

88% of 370+24% of 210 − x=118

(88/100) × 370+ (24 / 100 ) × 210 − x=118

0.88 × 370 + 0.24 × 210 −x =118

325.6 + 50.4 − 118 = x
x = 258

605 . A group of 20 friends formed and investment club, with each member contributing an equal amount to the general fund. The club then invested the entire fund, which amounted to t taka, in stock X. The value of the stock subsequently increased 40 percent, at that point the stock was sold and the proceeds divided evenly among the members. In terms of t, how much money did each member of the club receive from the sale?

A. $800 t$
B. $\frac{t}{2}$
C. $\frac{7 t}{5}$
D. $\frac{7 t}{100}$

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Answer: Option D

Explanation:

total= t×(140/100)=7t/5

n = 20

Each = (7t/5)/20 = 7t/100.

সমন্বিত ১০ ব্যাংক ও আর্থিক প্রতিষ্ঠান || সিনিয়র অফিসার (10-11-2023)

606. A number for each figures are given from 1 to 9 . Find out the best method of classification and identify this amongst the four alternative .

A. (1,3,5),(2,6,9),(4,7,8)
B. (2,3,4),(5,6,8),(9,1,7)
C. (1,3,5),(2,6,8),(4,7,9)
D. (3,2,4),(6,5,8),(7,9,1)

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Answer: Option C

Explanation:

(1,3,5) চিত্রগুলো বৃত্ত সম্পর্কিত।
(2,6,8) ,, ত্রিভুজ ,, ।
এবং (4,7,9) ,, চতুর্ভুজ ,, ।

Bangladesh Bank - Assistant Director - 2015

A. 2% loss
B. 4% loss
C. 2% gain
D. 4% gain

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Answer: Option B

Explanation:

ধরি, 1 লিটার দুধের ক্রয়মূল্য 1 টাক

এবং, 1 লিটার দুধের মিশ্রনের বিক্রয়মূল্য 1 টাকা

২৫% লাভে,

1 লিটার মিশ্রনের ক্রয়মূল্য = ( 100/125 × 1) = 4/5 টাকা

মিশ্রণে দুধ ও পানির অনুপাত = 4/5 - 0 : 1 - 4/5 = 4/5 : 1/5

মিশ্রনে পানির শতকরা হার = 1/5 × 100% = 20%

সমন্বিত ১০ ব্যাংক ও আর্থিক প্রতিষ্ঠান || অফিসার (জেনারেল) (08-03-2024)

A. 6
B. 8
C. 12
D. 15

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Answer: Option C

Explanation:

Note:
Half = One-half = 1/2
One and a half = 1½

Here,
one-half of the distance = 6 X ½ = 3 km | So, remaining distance = (6-3) = 3 km
two-thirds of the total time = 45 X ⅔ = 30 min | remaining time = (45-30) = 15 min

∴ Speed = [∵ 1 hr = 60 min]
= 12 km/hr (Ans:)

Bangladesh Bank - Assistant Director - 2016

609 . A rectangle is twice as long as it is wide. If the width is a, what is the length of its diagonal ?

A. $a \sqrt{2}$
B. $a \sqrt{3}$
C. $a \sqrt{5}$
D. $3 a$

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Answer: Option C

Explanation:

ধরি,
36 টাকায় বিক্রি করলে ক্ষতি x টাকা।
72 টাকায় বিক্রি করলে লাভ 2x টাকা।
শর্তানুসারে,
36 + x = 72 - 2x
বা, x + 2x = 72 - 36
বা, 3x = 36
বা, x = 36/3
বা, x = 12
অতএব খাতাটির ক্রয় মূল্য = 36 + 12 = 48 টাকা।
উত্তর : খাতাটির ক্রয় মূল্য = 48 টাকা।

Bangladesh Bank - Assistant Director - 2004

610 . A rectangular sheet of paper, 10 cm long and 8 cm wide has squares of side 2 cm cut from each of its corner. The sheet is then folded to form a tray of depth 2cm. What is the volume of this tray?

A. $32 c m^{3}$
B. $48 c m^{3}$
C. $49 c m^{3}$
D. $54 c m^{3}$

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Answer: Option B

Explanation:

দৈর্ঘ্য= 10-(2×2)= 6cm

প্রস্থ= 8-(2×2)= 4cm

উচ্চতা= 2cm

আয়তন= 6×4×2 =48 cm^3

Ans: 48.

সমন্বিত ১০ ব্যাংক ও আর্থিক প্রতিষ্ঠান || সিনিয়র অফিসার (10-11-2023)

A. 50
B. 4
C. 45
D. cannot be calculated

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Answer: Option D

Explanation:

612 . A, B and C are sisters . D is the brother of E . and E is the Daughter of B. How is A related to D ?

A. Sister
B. Cousin
C. Niece
D. Aunt

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Answer: Option D

Explanation:

E is the daughter of B and D is the brother of E. So D is the son of B. Also A is the sister of B so A is the aunt of D.

Bangladesh Bank - Assistant Director - 2016

A. 5(a+4)
B. abcde/5
C. 5(a+b+c+d+e)
D. a+b+c+f
E. None of these

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Answer: Option E

Explanation:

দুর্নীতি দমন কমিশনের সহকারী পরিচালক-১২.০৪.২০১৩

A. a+b+c
B. ab+c
C. ac+e
D. ac+d

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Answer: Option C

Explanation:

ধরি, a = 1, b = 2, c = 3, d = 4 এবং e = 5
.: a + b + c = 1 + 2 + 3 = 6 (জোড়)
.: ab + c = 1 x 2 + 3 = 5 (বিজোড়)
.:. ac + e = 1 x 3 + 5 = 8 (জোড়)
.:. ac + d = 1 x 3 + 4 = 7 (বিজোড়)
.:. বিজোড় হবে না a + b + c এবং ac + e

615 . A, B, C, D and E are five consecutive numbers in increasing order of size. Deleting one of the five numbers from the set decreased the sum of the remaining numbers in the set by 20%. Which one of the following numbers was deleted?

A. B
B. A
C. C
D. D

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Answer: Option C

Explanation:

সমন্বিত ১০ ব্যাংক ও আর্থিক প্রতিষ্ঠান || সিনিয়র অফিসার (10-11-2023)

601 . 8 years ago, the ratio of A's age to B's age was 4 :5 At present the ratio of B's age and C's age is 4 : 5 At present , the difference between A's age and C's age is 20 years, then what is the sum of the ages of A, B and C?

602 . 85% of a number is added to 24, the result is the same number. Find the number?

603 . 8597- ? = 7429 - 4358

604 . 88% of 370 + 24% of 210-?= 118. What stands for question mark?

607 . A person buys certain number of marbles at 20 per taka and an equal number at 30 per taka. He mixes them and sells them at 25 per taka. His gain or loss in the transaction is-

608 . A person has to cover a distance of 6 km in 45 minutes. If he covers one-half of the distance in two-thirds of the total time; to cover the remaining distance in the remaining time , his speed (in km/hr ) must be :

611 . A's marks in Biology are 20 less than 25% of the total marks obtained by him in Biology, Math and Drawing. If his marks in Drawing be 50, what are his marks in Math?

612 . A, B and C are sisters . D is the brother of E . and E is the Daughter of B. How is A related to D ?

613 . a, b, c, d, e, f are five consecutive odd numbers, their average is-

614 . a, b, c, d and e are five consecutive integers in increasing order of size. Which one of the following expression is not odd?

615 . A, B, C, D and E are five consecutive numbers in increasing order of size. Deleting one of the five numbers from the set decreased the sum of the remaining numbers in the set by 20%. Which one of the following numbers was deleted?

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