3496 . Three dice are thrown together. Find the probability of getting a total of at least 6 ?

A. $\frac{103}{108}$
B. $\frac{103}{208}$
C. $\frac{103}{216}$
D. $\frac{96}{103}$

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Answer: Option A

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

A. 14.5
B. 75.69
C. 145
D. 210.25

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Answer: Option A

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3498 . Three fourth of a number is 60 more than its one-third. The number is:

A. 84
B. 108
C. 144
D. None of these

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Answer: Option C

Explanation:

Hints: Let the number is x

So, 3x/4 = 1x/3 + 60

3x/4 - x/3 = 60

( 9x - 4x) /12 = 60

5x = 720

x = 144

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পল্লী কর্ম সহায়ক ফাউন্ডেশনের অ্যাসিসট্যান্ট ম্যানেজার-০৭.০৩.২০১৪

A. 3/20
B. 4/15
C. 2/15
D. 1/5

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Answer: Option A

Explanation:

Let the capacity of each truck and the reservoir be T and R respectively.

Total capacity of five trucks = 5T

According to the question, 5T = 3/4 of R

or, T = 3/4 x R / 5 = (3/20) R

So, each truck received 3/20 of the reservoir.

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3500 . Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is-

A. 1/9
B. 5/9
C. 8/9
D. 4/9

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Answer: Option A

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

A. Tk.1500
B. Tk.1950
C. Tk.650
D. Tk.850

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Answer: Option D

Explanation:

Total contribution = 3 x 8000 = 24000 TK

Cost of computer = 19500 + 10% of 19500 = 19500 + 1950 = 21450 TK.

Excess contribution = 24000 - 21450 = 2550 TK.

Refund to each = 2550/3 = 850 TK.

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3502 . Three maths classes: X, Y, and Z take an algebra test. The average score of class X is 83. The average score of class Y is 76. The average score of class Z is 85. The average score of class X and Y is 79 and the average score of class Y and Z is 81. What is the average score of the combined classes X, Y, and Z?

A. 81
B. 81.5
C. 82
D. 84.5
E. None of these

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Answer: Option B

Explanation:

According to question,
(i) (83x + 76y)/( x + y )=79
⇒ x = 43y
(ii) (76y + 85z)/(y + z) = 81
z = 45y
Average of all 3 = (83x + 76y + 85z)/(x + y + z)
=81.5

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Bangladesh Bank - Assistant Director - 2009

A. 6,4and 15
B. 9, 11 and 14
C. 8, 12 and 15
D. 10, 8 and 17

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Answer: Option C

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3504 . Three partners A, B, C start a business. Twice A's capital is equal to thrice B's capital and B's capital is four times C's capital. Out of a total profit of TK. 16,500 at the end of the year, B's share is:

A. Tk. 4000
B. Tk. 6000
C. Tk. 7500
D. Tk. 6600

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Answer: Option B

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Bangladesh Bank - Assistant Director - 2014

A. 5 : 7 : 8
B. 20 : 49 : 64
C. 38 : 28 : 21
D. 18 : 28 : 56

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Answer: Option B

Explanation:

Hints: let the investment Take was x for 14 months, y for 8 months and z for 7 months

14x : 8y : 7z = 5: 7 : 8

so, 14x/8y = 5/7

y = 49x/20

and 14x/7z = 5/8

z = 16x / 5

x : y : z = x : 49x/20 : 16x /5 = 20 : 49 : 64

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3506 . Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed and A and B can fill the remaining part in 6 hours. The number of hours taken by C alone to fill the tank is:

A. 8 hours
B. 14 hours
C. 10 hours
D. 18 hours

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Answer: Option D

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Basic bank recruitment 2018; auditor 26.01.2018 || Image 2018

A. 54
B. 5.64
C. 98
D. 1.63

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Answer: Option C

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3508 . Three pipes P,Q and R can fill a tank in 6 hours. After working all three together for 2 hours. R is closed and P and Q can fill the remaining part in 7 hours . The number of hours taken by R alone fill the thank is --

A. 10
B. 12
C. 14
D. 16
E. None

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Answer: Option C

Explanation:

P, Q & R alltogether can fill 1/6 th of the tank in 1 hour

So, in 2 hours they fill = 2×1/6 = 1/3 of the tank

Remining part to be filled = 1 - 1/3 = 2/3 of the tank

P & Q together in 7 hours can fill 2/3 of the tank

So, P & Q together in hour can fill = 2/(3×7) = 2/21 of the tank

So, R alone can fill in 1 hour = 1/6 - 2/21 = (7 - 4)/42 = 1/14 of the tank

Therefore, R alone can fill the tank in 14 hours.

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Probationary Officer | 31.03.2017 ||

A. Tk 3.50
B. Tk. 2.50
C. Tk. 6.00
D. Tk. 3.00

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Answer: Option A

Explanation:

Let S represent the price of one shirt in Tk, and let T represent the price of one tie in Tk.

From the given information, we can create two equations:

"Three shirts and five ties cost Tk. 23": 3S + 5T = 23

"Five shirts and one tie cost Tk. 20": 5S + T = 20

Now, we can solve this system of equations using the method of substitution or elimination. Let's use the elimination method:

First, we'll multiply the second equation by 5 to make the coefficients of T in both equations equal:

5(5S + T) = 5(20) 25S + 5T = 100

Now, we have the system of equations:

3S + 5T = 23
25S + 5T = 100

We can subtract equation 1 from equation 2 to eliminate T:

(25S + 5T) - (3S + 5T) = 100 - 23

Simplify:

22S = 77

Now, divide both sides by 22 to find the price of one shirt (S):

S = 77 / 22 S = 3.50

So, the price of one shirt is Tk. 3.50.

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সহকারী পরিচালক(AD) -12.11.2021

A. 7 hrs
B. 6.5 hrs
C. 7.5 hrs
D. 5.0 hrs

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Answer: Option A

Explanation:

Hints: Answer not given.

A + B s 1 hour work = ( 1/12 + 1/15) = 3/20

A + C s hours work = ( 1/12 + 1/20) = 2/15

Part filled in 2 hrs = ( 3/20 + 2/15) = 17/60

part filled 6 hrs = (3× 17/60) = 17/20

Remaining part = ( 1 - 17/20) = 3/20

Now, it is the turn of A and B and 3/20 part is filled by A and B in 1 hour

Total time taken to fill the tank = ( 6 + 1) = 7 hrs

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3497 . Three-fifth the square of a certain number is 126.15. What is the number?

3498 . Three fourth of a number is 60 more than its one-third. The number is:

3499 . Three-fourth petrol of a reservoir is used to fill the petrol tanks of five trucks having the same storege capacity; What part of the total capacity of the petrol reservoir did each truck receive?

3500 . Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is-

3501 . Three individuals contributed Tk.8000 each toward the purchase of a computer. If they bought the computer on sale for Tk.19500 plus 10% sales tax, how much money should be refunded to each individual?

3503 . Three number are added in pairs , the sums so obtained are 20,27 and 23. What are those three numbers?

3504 . Three partners A, B, C start a business. Twice A's capital is equal to thrice B's capital and B's capital is four times C's capital. Out of a total profit of TK. 16,500 at the end of the year, B's share is:

3505 . Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnership for 14 months, 8 months and 7 months respectively. What was the ration of their investments?

3506 . Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed and A and B can fill the remaining part in 6 hours. The number of hours taken by C alone to fill the tank is:

3507 . Three pipes are used to fill a pool with water. Individually they can fill the pool in 9 hours, 6 hours and 3 hours. How many minutes will it take to fill the pool if three pipes are used simultaneously?

3508 . Three pipes P,Q and R can fill a tank in 6 hours. After working all three together for 2 hours. R is closed and P and Q can fill the remaining part in 7 hours . The number of hours taken by R alone fill the thank is --

3509 . Three shirts and Five ties cost Tk. 23. Five shirts and one tie cost Tk. 20. What is the price of one shirt?

3510 . Three taps A, B and C can fill a tank in 12,25 and 20 hours respectively. If a is open all the time and B and C are open for one hour each alternately, the tank will be full in :

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