436 . Threee boys have marbles in the ratio of 19:5:3. If the boy with the least number has 9 marbles, how many marbles does the boy with the highest number have?

A. 57
B. 15
C. 76
D. 38

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Answer: Option A

Explanation:

ধরি, ৩ জন বালকের মারবেল আছে

যথাক্রমে ১৯ক, ৫ক, ৩ক টি

প্রশ্নমতে, ৩ক = ৯

ক = ৩

সুতরাং, সবচেয়ে বেশি মারবেল আছে = ১৯ × ৩ = ৫৭ টি।

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437 . Three workers can do a job in 12 days. Two of 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. 32
D. None of these

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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 .

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Bangladesh Bank - Officer - 2001

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

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Answer: Option B

Explanation:

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439 . Three types of rice costing TK. 100/kg TK. 110/kg and Tk. 130/kg are mixed together and the mixture is sold tk. 120/kg. In what ratio were these different types mixed it no profit or loss was incurred? (১০০ টাকা / কেজি, ১১০ টাকা / কেজি এবং ১৩০ টাকা / কেজি দামের তিন ধরনের চাল একত্রে মেশানো হয় এবং মিশ্রণটি ১২০ টাকা কেজিতে বিক্রয় হয়। কোন অনুপাতে মেশানো হলে কোনো লাভ বা ক্ষতি হবে না?)

A. 11 : 1 : 2
B. 1 : 2 : 3
C. 2 : 1 : 3
D. None of these

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Answer: Option D

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Dutch Bangla Bank || Sales Manager (18-09-2024) || 2024

A. 9
B. 44
C. 13
D. 15

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Answer: Option D

Explanation:

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আশুগঞ্জ পাওয়ার স্টেশন কোম্পানী লিঃ (APSCL) || সহকারী প্রকৌশলী (মেকানিক্যাল ও ইলেকট্রিক্যাল এন্ড ইলেকট্রনিক্স) (27-09-2024) || 2024

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.

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442 . 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 :

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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443 . 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.

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সহকারী পরিচালক(AD) -12.11.2021

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. 54
B. 5.64
C. 98
D. 1.63

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Answer: Option C

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446 . 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

Explanation:

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Basic bank recruitment 2018; auditor 26.01.2018 || Image 2018

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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448 . 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. 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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450 . 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

436 . Threee boys have marbles in the ratio of 19:5:3. If the boy with the least number has 9 marbles, how many marbles does the boy with the highest number have?

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

438 . 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?

440 . Three times the first of three consecutive odd integers is 3 more than twice the third. What is the third integer?

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

442 . 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 :

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

444 . 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 --

445 . 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?

446 . 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:

447 . 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?

448 . 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:

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

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