451 . The length of two smaller sides of a right angled triangle are 5 cm and 12 cm respectively. The length of the thirs side is-

A. 15 cm
B. 17 cm
C. 19 cm
D. 13 cm

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Answer: Option D

Explanation:

In a right-angled triangle, you can use the Pythagorean theorem to find the length of the third side if you know the lengths of the other two sides. The Pythagorean theorem states:

c² = a² + b²

Where:

c is the length of the hypotenuse (the third side).
a and b are the lengths of the other two sides.
In this case, a = 5 cm and b = 12 cm. We want to find c:

c² = 5² + 12² c² = 25 + 144 c² = 169

Now, take the square root of both sides to find c:

c = √169 c = 13 cm

So, the length of the third side (the hypotenuse) is 13 cm.

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452 . The lengths of the sides of a triangle are in the ratio of 3 to 5 to 6 . If the perimeter of the triangle is 70, what is the length of the longest side ?

A. 5
B. 6
C. 15
D. 30

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Answer: Option D

Explanation:

Let the sides of the triangle are

3x,5x and 6x

Given perimeter(3x + 5x + 6x) = 70

= > 14x = 70

∴ x = 5

So longest side of the triangle is 6

= 6×5 = 30

Bangladesh Bank - Assistant Director - 2013 ||

A. 10
B. 15
C. 17
D. 12
E. 18

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Answer: Option C

Explanation:

Here, 13, 7 and 11 are prime number

So, among these numbers only 17 is correct because of prime number.

Bangladesh Bank - Assistant Director - 2013 ||

A. 4
B. 5
C. 6
D. 7

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Answer: Option C

Explanation:

455 . The only persons who attended a meeting were four ship captains and the first mates of three of those captains . The captains were R, S, T, and W; the first mates were L, N, and V. Each first mate present spoke immediately after his or her captain . S wa

A. S, L, T, V, W, R, N
B. S, N, T, V, R, W, L
C. S, T, L, R, N, W, V
D. S, T, L, W, N, R, V
E. All of them

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Answer: Option E

Explanation:

Based on the given information, we can determine the order in which the speakers spoke as follows:

1. S (captain)
2. L (first mate)
3. T (captain)
4. N (first mate)
5. V (first mate)
6. W (captain)
7. R (captain)

Therefore, the correct order of speaking is:

Bangladesh Bank - Assistant Director - 2011

A. 25%
B. 45%
C. 55%
D. 64%
E. 67%

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Answer: Option D

Explanation:

Let, last year visitor were 100

Projected visitor = 100 + 25 = 125

Actual visitor = 100 - 20 = 80

% of attended visotor = 80/125 × 100% = 64%

Bangladesh Bank - Assistant Director - 2011

A. 5
B. 8
C. 10
D. 12
E. 15

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Answer: Option E

Explanation:

3.5 - এর শতকরায় প্রকাশ হচ্ছে (3.5 ×100)%
= 350 %

458 . The price of 10 chairs is equal to that of 4 tables . The price of 15 chairs and 2 tables together is Tk. 4000. The total price of 12 chairs and 3 tables is-

A. TK. 3500
B. Tk. 3750
C. Tk. 3840
D. None of these

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Answer: Option D

Explanation:

Assume the cost of Table and Chair is Tk. X and Tk. Y
Write the Equation for the Question:
•The price of 10 chairs is equal to that of 4 tables
10X = 4Y
Y = 5x/2
•The price of 15 chairs and 2 tables together is Tk. 4000.
15X + 2*Y = 4000
15X + 2*5x/2 = 4000
20X = 4000
X = 200
•Substitute X value in Equation.
So, Y = (5/2*200)
Y = 500
•The total price of 12 chairs and 3 tables is,
12X + 3Y = 12*200 + 3*500
= 2400 + 1500
= 3900
The total price of 12 chairs and 3 tables is 3900 Taka.

অফিসার (ক্যাশ ) - Sonali | Rupali | BD Krishi | Rajshahi Krishi Unnayn | Investment Corporation Of Bangladesh - ২৯. ০৩.২০১৯

A. 10%
B. 15%
C. 20%
D. 30%

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Answer: Option D

Explanation:

Cost price of coat is $500 .
Cost is reduced by $150

Percent decrease in prce = (500/150)×100=30

সমন্বিত ৯ ব্যাংক | 07-01-2022 ||

A. 70.40
B. 82.00
C. 83.33
D. 86.40

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Answer: Option D

Explanation:

461 . The price of corn rose 20% two years ago and 15% last year . what is the combined percent increase in price ?

A. 5%
B. 17.5%
C. 25%
D. 35%
E. 38%

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Answer: Option E

Explanation:

Combined Percent = p + q + pq/100

= 20 + 15 + ( 20 × 15/100) = 38%

Bangladesh Bank - Assistant Director - 2011

A. 90
B. 100
C. 85
D. 50

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Answer: Option C

Explanation:

price of 2 banana = 40 tk

price of 1 banana = 40/2 = 20 tk

price of 2 kiwis = 50-20 = 30 tk

price of 1 kiwis = 30/2 = 15 tk

Now, price of 2 bananas and 3 kiwis = 2*20+3*15 = 40+45 = 85 tk (Ans)

463 . The principal monetary policy objective is to reduce substantially the import surplus of the coming years while resuming economic growth. Realization of this goal entails a marked structural change of the economy, which can be brought about by freezing th

A. Economic growth will result in a structural change of the economy
B. Only if people consume less can the economy grow
C. The import surplus can be reduced if investment is restricted
D. Only a structural change in the economy can substantially increase imports
E. People will have to be persuaded to give up consumption for the national good

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Answer: Option E

Explanation:

To determine which option weakens the given statement, let's analyze each option in relation to the goal of reducing the import surplus while resuming economic growth:

A. Economic growth will result in a structural change of the economy.
This option supports the statement by suggesting that economic growth will bring about the necessary structural change in the economy to reduce the import surplus. It does not weaken the statement.

B. Only if people consume less can the economy grow.
This option supports the statement by suggesting that reducing consumption is necessary for economic growth and reducing the import surplus. It does not weaken the statement.

C. The import surplus can be reduced if investment is restricted.
This option weakens the statement by suggesting that restricting investment can reduce the import surplus. It implies that reducing investment, rather than a structural change, is the key to achieving the goal. However, it does not address the resumption of economic growth, which is also an objective.

D. Only a structural change in the economy can substantially increase imports.
This option does not weaken the statement but rather supports it by suggesting that a structural change in the economy is necessary to increase imports. It does not address the goal of reducing the import surplus.

E. People will have to be persuaded to give up consumption for the national good.
This option weakens the statement by suggesting that people need to be persuaded to give up consumption. It implies that reducing consumption may be difficult and requires persuasion, which may hinder the goal of reducing the import surplus while resuming economic growth.

Based on the analysis, option E: People will have to be persuaded to give up consumption for the national good weakens the statement the most. It implies that reducing consumption may not be easily achievable and may require persuasion, potentially challenging the goal of reducing the import surplus while resuming economic growth.

Bangladesh Bank - Assistant Director - 2011

A. 2/3
B. 3/4
C. 3/7
D. 1/2
E. None of them

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Answer: Option D

Explanation:

Bangladesh Bank - Assistant Director - 2012

A. 15
B. 33
C. 34
D. 51

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Answer: Option D

Explanation:

Prime numbers greater than 2 but less than 6 = { 3 , 5 }
Prime numbers greater than 13 but less than 25 = { 17 , 19 , 23 }

Product P of two prime numbers between 9 and 55 is 51 ( i.e 3*17 )

সমন্বিত ৯ ব্যাংক | 07-01-2022 ||

451 . The length of two smaller sides of a right angled triangle are 5 cm and 12 cm respectively. The length of the thirs side is-

452 . The lengths of the sides of a triangle are in the ratio of 3 to 5 to 6 . If the perimeter of the triangle is 70, what is the length of the longest side ?

453 . The numbers 13,7 and 11 would enjoy the company of which of these numbers : 10, 15, 17, 12, 18 ?

454 . The numbers 2,3,5 and x have an average equal to 4 . What is x?

455 . The only persons who attended a meeting were four ship captains and the first mates of three of those captains . The captains were R, S, T, and W; the first mates were L, N, and V. Each first mate present spoke immediately after his or her captain . S wa

456 . The organizers of a fair projected 25% increase of visitors this year over that of the last year but the actual turnover was 20% less than that of the last year. What percent of projected visitors attended the fair ?

457 . The present ratio of students and teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?

458 . The price of 10 chairs is equal to that of 4 tables . The price of 15 chairs and 2 tables together is Tk. 4000. The total price of 12 chairs and 3 tables is-

459 . The price of a coat in a certain store is tk 500. If the price of the coat is to be reduced by tk 150, by what percent is the price to be reduced?

460 . The price of a pair of sneakers was Tk. 80 for the last six months of last year. On january first, the price increase, an employee bought these sneakers with a 10% employee discount . What price did the employee pay?

461 . The price of corn rose 20% two years ago and 15% last year . what is the combined percent increase in price ?

462 . the price of two bannas is Tk. 40, and the sum of the price of one banna and two kiwis is Tk. 50. The sum of the prices of two bannas and three kiwis is Tk.

463 . The principal monetary policy objective is to reduce substantially the import surplus of the coming years while resuming economic growth. Realization of this goal entails a marked structural change of the economy, which can be brought about by freezing th

464 . The product of two numbers x and y is twice the sum of the numbers. What is the sum of the reciprocals of x and y ?

465 . The product P of two prime numbers is between 9 and 55. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then P =

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