3121 . Three-fifth the square of a certain number is 126.15. What is the number?

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

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Answer: Option A

Explanation:

3122 . 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

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.

3124 . 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

Explanation:

One person can select one house out of 3 = 3C1 ways = 3.
Hence, three persons can select one house out of 3 in 3 x 3 x 3 = 9.
Therefore, the probability that all three apply for the same house is 1/9.

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.

3126 . 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

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

Explanation:

3128 . Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is ---

A. 75
B. 81
C. 85
D. 89
E. None of these

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Answer: Option C

Explanation:

১৮৮৬ সালের ২৮ অক্টোবর যুক্তরাষ্ট্রের নিউইয়র্কে তৎকালীন বেডলোপ দ্বীপে স্ট্যাচু অব লিবার্টি (Statue Of Liberty) স্থাপন করা হয়। এটি ফ্রান্স বন্ধুত্বের নিদর্শনস্বরূপ মার্কিন যুক্তরাষ্ট্রকে উপহার দেয়।

3129 . 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?

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

3130 . 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?

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

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Answer: Option C

Explanation:

3131 . 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.

3132 . Three shirts and Five ties cost Tk. 23. Five shirts and one tie cost Tk. 20. What is the price of one shirt?

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.

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

3134 . Three times a number minus 7 is 32. What is the twice of the number?

A. 26
B. 13
C. 39
D. 16
E. None of these

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Answer: Option A

Explanation:

Let the number be N.

According to the question,

3N - 7 = 32

or, 3N = 32 + 7 = 39

So, N = 39/3 = 13

Therefore, twice of N or 2N = 2 x 13 = 26.

3135 . Three workers can do a job in 12 days . Two the workers work twice as fast as the third. How long would it take one of the faster workers to do the job himself?

A. 24
B. 30
C. 34
D. 40
E. None of them

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Answer: Option B

Explanation:

1 faster person = 2 slower person
so , 2 faster + one slower = 5 slower person
5 slower person can do the work in 12 days
1 ,, ,, ,, ,, 12X5 days = 60 days
As, 2 slower = 1 faster then,
1 faster person can do the work in 60/2 = 30 days

3121 . Three-fifth the square of a certain number is 126.15. What is the number?

3122 . Three fourth of a number is 60 more than its one-third. The number is:

3123 . 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?

3124 . 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 -

3125 . 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?

3127 . Three number are added in pairs , the sums so obtained are 20,27 and 23. What are those three numbers?

3128 . Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is ---

3129 . 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?

3130 . 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?

3131 . 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 --

3132 . Three shirts and Five ties cost Tk. 23. Five shirts and one tie cost Tk. 20. What is the price of one shirt?

3133 . 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 :

3134 . Three times a number minus 7 is 32. What is the twice of the number?

3135 . Three workers can do a job in 12 days . Two the workers work twice as fast as the third. How long would it take one of the faster workers to do the job himself?

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