3061 . The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older . If the ages of these two are excluded, the average , the average age of the remaining players is one year less than the average age of the whole team. what is the average age of the whole team?

A. 23 years
B. 24 years
C. 25 years
D. 26 years
E. None of these

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Answer: Option A

Explanation:

Let the average age of the whole team by x years

11x - ( 26 + 29) = 9 ( x - 1)

2x = 46

x = 23

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3062 . The charge of a room at Sheraton is 25% less than that of a room at Westin and 10% less than that of a room at Sonargoan. By what percent is the charge of a room at Westin is greater than that of Sonargaon?

A. 15%
B. 17%
C. 19%
D. 20%

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Answer: Option D

Explanation:

Let the charges at Sherato, Westin and Sonargaon be A, B & C respectively.

Now, A = B - 25% of B = B - 0.25B = 0.75B = 3B/4

or, B = 4A/3

Again, A = C - 10% of C = C - 0.1C = 0.9C = 9C/10

or, C = 10A/9

Now, B - C = 4A/3 - 10A/9 = (12A - 10A) / 9 = 2A/9

Charge at westin is greater than charge at Sonargaon by (2A/9) / (10A/9) × 100% = 20%

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3063 . The circumference of the circle and teh perimeter of the square is equal and the ratio between the diameter of the circle and the side of the square is 7:11. What is the area of the circle ?

A. $154 c m^{2}$
B. $160 c m^{2}$
C. $132 c m^{2}$
D. cant't be determined

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Answer: Option D

Explanation:

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Officer (General) |-Sonali | Janata | Bangladesh Krishi_Bangladesh Development bank ২৪.০৫.২০১৯

A. 120
B. 140
C. 160
D. 175

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Answer: Option C

Explanation:

Let "x" be the number of students in the class, and "b" be the number of books donated to the class.

We are given two conditions:

If each student takes 4 books, there will be 20 books left. This can be expressed as: x * 4 + 20 = b

If 3 students do not take a book and the rest take 5 books each, there will be no books left. This can be expressed as: (x - 3) * 5 = b

Now, we have a system of two equations:

x * 4 + 20 = b
(x - 3) * 5 = b

We can solve this system of equations to find the values of "x" and "b."

First, let's simplify equation 2:

5x - 15 = b

Now, we have the system:

x * 4 + 20 = b
5x - 15 = b

Since both equations equal "b," we can set them equal to each other:

x * 4 + 20 = 5x - 15

Now, solve for "x":

4x + 20 = 5x - 15

Subtract 4x from both sides:

20 = x - 15

Add 15 to both sides:

x = 35

So, there are 35 students in the class. Now, we can find the number of books donated (b) using either of the original equations. Let's use the first one:

x * 4 + 20 = b 35 * 4 + 20 = b 140 + 20 = b b = 160

Therefore, 160 books were donated to the class.

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

A. 15°
B. 25°
C. 30°
D. 35°

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Answer: Option A

Explanation:

Let angle =x

complement =90−x
90−x=x+60 (Given)
2x=30
x=15∘

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Janata Bank PLC || Officer (Rural Credit) (27-10-2023) || 2023

A. 60
B. 62
C. 64
D. 66

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Answer: Option D

Explanation:

Compound interest = C - P = P(1 + r)n - P

= 200 x (1 + 0.1)3 - 200

= 66.2 TK (Ans)

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3067 . The compound interest on a certain sum for 2 years at 10% per annum is Tk. 525. The simple interest on the same sum for double the time at half the rate percent per annum is :

A. Tk. 400
B. Tk. 500
C. Tk. 600
D. Tk. 800

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Answer: Option B

Explanation:

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3068 . The compound interest on a sum for 2 years is Tk.832 and the simple interest on the same sum for the same period is Tk.800. The difference between the compound and simple interest for 2 years will be.

A. 98.56
B. 95.50
C. 48
D. 66.56

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Answer: Option A

Explanation:

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3069 . The compound interest on Tk. 2800 for 18 months at 10% p.a. is

A. Tk. 441.35
B. Tk. 434
C. Tk. 436.75
D. Tk. 420

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Answer: Option B

Explanation:

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3070 . The compound interest on Tk 200 at 10% in 3 years is approximately -

A. 60
B. 62
C. 66
D. 64
E. 68

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Answer: Option C

Explanation:

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Agrani Bank Ltd. Recruitment Test for Senior Officer 12.02.2010

A. 40
B. 50
C. 75
D. 100

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Answer: Option B

Explanation:

let, capital = x
1st year interest = x*10/100 = x/10
2nd year interest = (x + x/10)10/100
= 11x/100
ATQ,
x/10 + 11x/100 = 10.5
= > x = 50

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3072 . The contents of a certain box consist of 9 apples and 27 oranges . How many oranges must be removed from the box so that 70% of the pieces of fruits in the box will be apples ?

A. 3
B. 4
C. 6
D. 8
E. None of these

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Answer: Option E

Explanation:

The objective here is that 70% of the fruit in the box should be apples.

Now, there are 6 apples at start and there is no talk of removing any apples, so number of apples should remain 6 and they should constitute 70% of total fruit, so total fruit = 6/0.7 = 12 [approximate]
So we should have 12-6 = 6 oranges.
Right now, there are 27 oranges, so to get to 6 oranges, we should remove 27 - 6 = 21 oranges.

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3073 . The cost, in taka, of manufacturing x microwaves is 6000+300x taka. The amount received when selling these x microwaves is 700x taka. What is the least number of microwaves that must be manufactured and sold so that net profit is Tk. 2,400?

A. 15
B. 21
C. 19
D. 17

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Answer: Option B

Explanation:

700x - 6000 - 300x = 2400

400x = 8400

x = 8400/400

x = 21

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3074 . The cost function of a product is 400 + 2x, where x is the number of units produced. How many units should be produced to make an average cost of TK. 2.5 per unit ?

A. 200
B. 800
C. 400
D. 720
E. 900

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Answer: Option B

Explanation:

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Bangladesh Bank - Officer(Cash) - 2011

A. 15
B. 17
C. 21
D. 19

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Answer: Option C

Explanation:

700x - 6000 - 300x = 2400

400x = 8400

x = 8400/400

x = 21

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3062 . The charge of a room at Sheraton is 25% less than that of a room at Westin and 10% less than that of a room at Sonargoan. By what percent is the charge of a room at Westin is greater than that of Sonargaon?

3064 . The city library donated some books to a class. If each student takes 4 books. there will be 20 books left. If 3 students do not take a book and the rest of the students take 5 books each, there will be no books left. How many books were donated to the class?

3065 . The complement of an angle exceeds the angle by 60°. Then the angle is equal to -

3066 . The compound interest (in taka) on Tk.200 at 10% in 3 years is approximetely:

3067 . The compound interest on a certain sum for 2 years at 10% per annum is Tk. 525. The simple interest on the same sum for double the time at half the rate percent per annum is :

3068 . The compound interest on a sum for 2 years is Tk.832 and the simple interest on the same sum for the same period is Tk.800. The difference between the compound and simple interest for 2 years will be.

3069 . The compound interest on Tk. 2800 for 18 months at 10% p.a. is

3070 . The compound interest on Tk 200 at 10% in 3 years is approximately -

3071 . The compund interest at 10% per annum on a certain amount of money for two years is TK. 10.50. Then what is the principal amount in TaKa ?

3072 . The contents of a certain box consist of 9 apples and 27 oranges . How many oranges must be removed from the box so that 70% of the pieces of fruits in the box will be apples ?

3073 . The cost, in taka, of manufacturing x microwaves is 6000+300x taka. The amount received when selling these x microwaves is 700x taka. What is the least number of microwaves that must be manufactured and sold so that net profit is Tk. 2,400?

3074 . The cost function of a product is 400 + 2x, where x is the number of units produced. How many units should be produced to make an average cost of TK. 2.5 per unit ?

3075 . The cost in Taka of manufacturing x microwaves is 6000 + 300x Taka. The amount received when selling these x microwaves is 700x Taka. What is the least number of microwaves that must be manufactured and sold so that the net profit is Taka. 2400?

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