3631 . What is the difference between the amount of interest eamed on a principal of Tk. 100 for 2 years at 10% simple interest rate and 10% compounding interest rate?

A. Tk. 121
B. Tk. 120
C. Tk. 2
D. Tk. 1

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Answer: Option D

Explanation:

Here,

P= 100; n= 2years; r= 10%

Shortcut: Difference between the two interest:

Pr^2 = 100×(10/100)^2 = 1

Ans: 1

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3632 . What is the difference of largest and smallest prime number between 60 and 80 ?

A. 8
B. 12
C. 18
D. 140

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Answer: Option C

Explanation:

60 ও 80 এর মধ্যে সর্বোচ্চ মৌলিক সং!খ্যা 79
60 ও 80 ,, ,, সর্বনিম্ন ,, ,, 61
⸫ পার্থক্য = 18

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Bangladesh Bank - Assistant Director - 2015

A. 2
B. 3
C. 8
D. 11

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Answer: Option A

Explanation:

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সোনালী ও ডিবিবিএল ব্যাংক- সিনিয়র অফিসার (আইটি) - 16.10.2020 ||

A. 12
B. 16
C. 8
D. 6

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Answer: Option A

Explanation:

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3635 . What is the greater of two number whose product is 90, if sum of these two numbers exceeds their difference by 30 ?

A. 15
B. 60
C. 75
D. 90
E. None of these

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Answer: Option B

Explanation:

Let the numbers be p and q . where p > q.
According to the question,
(p + q) – (p – q) = 30
⇒ p + q – p + q = 30
⇒ 2q = 30

⇒ q =	30	= 15
	2

∴ pq = 900
⇒ 15p = 900

⇒ p =

900/15

= 60

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3636 . what is the greater of two numbers whose product is 900 , if sum of these two numbers exceeds their difference by 30?

A. 15
B. 60
C. 75
D. 90

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Answer: Option B

Explanation:

ধরি, সংখ্যা দুটি x ও y (x>y)

xy = 90 - - - - - (1)

এবং (x + y) - (x - y) = 30

2y = 30

y = 15

1 থেকে পাই x = 900/15 = 60

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3637 . What is the greatest number that divides 84, 144 or 18 without any remainder?

A. 24
B. 6
C. 18
D. 12

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Answer: Option B

Explanation:

84, 144 এবং 18 এর গ.সা.গু ই হবে বৃহত্তত সংখ্যা।

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3638 . What is the greatest positive integer n such that 2n is a factor of 1210?

A. 10
B. 12
C. 16
D. 20

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Answer: Option D

Explanation:

The given number is 12^10
=(2*2*3)^10
=(2^20)*(3^10)

So the greatest possible value for n such that 2^n can be factor of given number is 20.

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3639 . What is the greatest possible area of a triangle with one side of length 7 and another side of length 10?

A. 17
B. 30
C. 35
D. 70

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Answer: Option C

Explanation:

The greatest possible area of a triangle with one side of length 7 and another side of length 10 can be found using the formula for the area of a triangle:

Area = (1/2) * base * height

In this case, the given sides 7 and 10 can be the base and height of the triangle, but we need to determine which side should be the base and which should be the height to maximize the area. The area will be maximized when the longer side (10) is the base and the shorter side (7) is the height, as this creates a taller triangle.

So, the area of the triangle is:

Area = (1/2) * 10 * 7 = 35 square units

Therefore, the greatest possible area of the triangle is 35 square units.

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সমন্বিত ৭ ব্যাংক || সিনিয়র অফিসার-05-11-2021 ||

A. 6
B. 9
C. 12
D. 18

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Answer: Option D

Explanation:

H. C. F মানে গ. সা. গু
36 = 2 × 2 × 3 × 3
54 = 2 × 3 × 3 × 3
90 = 2 × 3 × 3 × 5
গ. সা. গু = 2 × 3 × 3 = 18

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অফিসার (সাধারণ) ২৭.১২. ২০১৯

A. 432
B. 420
C. 440
D. 430

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Answer: Option B

Explanation:

The least common multiple of 5, 6 & 7 is 210. So, the the number of apples can be distributed in the ratio of 5 : 6 : 7 are 210, 420, 630 and so on. So, the highest number possible in this case not exceeding 440 will be 420.

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3642 . What is the largest number tha divides 84,144 or 36 without any remainder?

A. 6
B. 12
C. 18
D. 24

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Answer: Option B

Explanation:

84, 144 এবং 18 এর গ.সা.গু ই হবে বৃহত্তত সংখ্যা।

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সমন্বিত ৭ ব্যাংক ও ১টি আর্থিক | সিনিয়র_অফিসার | 27-11-2021

A. 6
B. 12
C. 18
D. 24

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Answer: Option A

Explanation:

84, 144 এবং 18 এর গ.সা.গু ই হবে বৃহত্তত সংখ্যা।

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3644 . What is the greatest prime factor of 242-1?

A. 3
B. 5
C. 11
D. 17

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Answer: Option D

Explanation:

(2^{4}) - 1 (2^{4} + 1) (2^{4} - 1) [a^{2} - b^{2} = (a + b) (a - b)] = (16 - 1) (16 - 1) = 1715 = 17 \times 5 \times 3 . : . সর্বোচ্চ মৌলিক সংখ্যা = 17

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3645 . What is the least integer that is a sum of three different primes each greater than 20?

A. 69
B. 73
C. 75
D. 83

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Answer: Option D

Explanation:

Three different primes each greater than 20 are 23, 29, 31

So, Sum = 23 + 29 + 31

= 83

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3631 . What is the difference between the amount of interest eamed on a principal of Tk. 100 for 2 years at 10% simple interest rate and 10% compounding interest rate?

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3632 . What is the difference of largest and smallest prime number between 60 and 80 ?

3633 . What is the distance of the origin from the line 12x-5y+26=0 ?

3634 . What is the fourth proportional of 3,9 and 4?

3635 . What is the greater of two number whose product is 90, if sum of these two numbers exceeds their difference by 30 ?

3636 . what is the greater of two numbers whose product is 900 , if sum of these two numbers exceeds their difference by 30?

3637 . What is the greatest number that divides 84, 144 or 18 without any remainder?

3638 . What is the greatest positive integer n such that 2n is a factor of 1210?

3639 . What is the greatest possible area of a triangle with one side of length 7 and another side of length 10?

3640 . What is the H.C.F of the numbers 36,54 and 90?

3641 . What is the largest number of apples not exceeding 440 that can be distributed among three persons in the proportions of 5 : 6 : 7?

3642 . What is the largest number tha divides 84,144 or 36 without any remainder?

3643 . What is the largest number that divides 84, 144 or 18 without any remainder?

3645 . What is the least integer that is a sum of three different primes each greater than 20?

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