646 . A and B started a partership business investing some amount in the ratio of 3:5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of the first year be distributed amoung A, B and C?

A. 3:5:2
B. 3:5:5
C. 6:10:5
D. Cannot be determined
E. None of these

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Answer: Option C

Explanation:

Let the initial investments of A and B be 3x and 5x A : B : C = (3x × 12) : ( 5x × 12) : ( 5x × 6) = 36 : 60 : 30 = 6 : 10 : 5

647 . A and B together can complete a piece of work in 12 days, B and C can do it in 20 days and C and A can do it in 15days. A, B and C together can complete it in:

A. 12 days
B. 6 days
C. 8 days
D. 10 days

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Answer: Option D

Explanation:

A & B can do in 1 day = 1/12 work
B & C can do in 1 day = 1/20 work
C & A can do in 1 day = 1/15 work
2(A&B&C) can do in 1 day = 1/12 + 1/20 + 1/15 = 12/60 = 1/5 work.
A&B&C can do in 1 day = 1/(5 × 2) = 1/10 work.
Required number of days = 1/(1/10) = 10 days. Ans: D.

অফিসার (ক্যাশ) নিয়োগ পরীক্ষা- ১২-১০-২০১৮ ||

A. 0.2
B. 7.5
C. 5.0
D. 6.4
E. None of these

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Answer: Option B

Explanation:

A and B together in 1 day can paint 1/3 of the wall

A alone in 1 day can paint 1/5 of the wall

Then, B alone can paint (1/3 - 1/5 = 2/15) of the wall in 1 day

So, B alone can paint the wall in 15/2 = 7.5 days

649 . A and B together can paint a wall in 3 days. A can do it alone in 5 days. How many days would it take B to do this job alone?

A. 0.5
B. 7.5
C. 5.0
D. 6.4

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Answer: Option B

Explanation:

A and B together in 1 day can paint 1/3 of the wall

A alone in 1 day can paint 1/5 of the wall

Then, B alone can paint (1/3 - 1/5 = 2/15) of the wall in 1 day

So, B alone can paint the wall in 15/2 = 7.5 days

650 . A B C subscribe TK. 50,000 for a business .A subscribes TK. 4000 more than B and B TK, 5000 more than C Out of a total Profit of TK. 35,000. A receives

A. Tk. 14,700
B. Tk. 1,900
C. Tk. 13,600
D. TK. 8400

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Answer: Option A

Explanation:

Let C = x.
Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000
So, x + x + 5000 + x + 9000 = 50000
⇒ 3x = 36000
⇒ x = 12000
A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12
So A's Share = Tk. 35000 × 2150 = Tk. 14700

সমন্বিত ৬ (ব্যাংক) ও ২ টি আর্থিক প্রতিষ্ঠান - সিনিয়র অফিসার ১০.০৬.২০১৯

A. 100
B. 150
C. 50
D. 200

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Answer: Option C

Explanation:

Book costs x taka

As per the question,

x+x+1000=1101

Or, 2x=1101-1000

Or, x=101/2=50.5≈50 taka

(ans)

Sonali &amp- Janata Bank Ltd. Senior Officer (IT/ICT) 08.06.2018

A. 5/7
B. 2/7
C. 10/21
D. 11/21

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Answer: Option C

Explanation:

Total number of balls
= (2 + 3 + 2)
= 7
Let S be the sample space
Then, n(S) = Number of ways of drawing 2 balls out of 7
n(S) = 7C2
n(S) = (7 × 6)/(2 × 1)
n(S) = 21
Let E = Event of 2 balls, none of which is blue
∴ n(E) = Number of ways of drawing 2 balls out of (2 + 3) balls
n(E) = 5C2
n(E) = (5 × 4)/(2 × 1)
n(E) = 10
∴P(E) = n(E)/n(S) = 10/21

সমন্বিত ৬ (ব্যাংক) ও ২ টি আর্থিক প্রতিষ্ঠান - সিনিয়র অফিসার ১০.০৬.২০১৯

A. 3
B. 6
C. 8
D. 10
E. None of them

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Answer: Option D

Explanation:

To be sure that Jason has at least one marble of each color (red, white, and blue), he should continue removing marbles until he has exhausted all of one color. In this case, we want to find the least number of marbles he must remove to ensure he has at least one marble of each color.

The maximum number of marbles of a single color (blue, in this case) is 5. So, Jason must remove all the white and red marbles first before he can be sure he has at least one marble of each color.

Number of white and red marbles = 4 white + 3 red = 7

Now, Jason must remove all 7 of these marbles before he can be sure he has at least one marble of each color.

Therefore, the least number of marbles he must remove is 7 (to remove all the white and red marbles) + 3 (to remove the remaining red marbles) = 10.

So, the least number of marbles he must remove to ensure he has at least one of each color is 10.

The correct answer is 10.

654 . A bag of chicken feed can feed 18 chickens for 54 days. For how many days will it feed 12 chickens?

A. 81
B. 36
C. 72
D. 40

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Answer: Option A

Explanation:

18 chickens can feed for = 54 days

1 chicken can feed for = (54*18) days

12 chickens can feed for = (54*18)/12 days

= 81 days

655 . A ball pen factory decided to reduce its production by 10% over that of previous month for next 3 months starting from February 1994. In January 1994, it produced 3000 ball pens. How many ball pens were produced in March 1994?

A. 2187
B. 2400
C. 2700
D. 2430

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Answer: Option D

Explanation:

656 . A bar of soap has a volume of 18 cubic inches. Jasim used it until it measured 2.75 inches by 2 inches by 1 inch. How many cubic inches of soap did jasim use?

A. 14.25
B. 5.75
C. 8.5
D. 12.5

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Answer: Option D

Explanation:

Jashim use=18-(2.75×2×1)=12.5

(ans)

657 . A batsman makes a score of 80 runs in the 16th innings and increases average by 3. What is his average after 16th innings?

A. 25
B. 29
C. 32
D. 35

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Answer: Option D

Explanation:

Let,

Average of the 15 innings = x

So, the total runs of the 15 innings = x × 15

ATQ,

(x × 15 + 80)/16 = x + 3

=> 15x + 80 = 16x + 48

=> x = 80-48 = 32

So, the average of the 16th innings = 32+3 = 35

Ans. 35.

সমন্বিত ৮ ব্যাংক ও ১ টি আর্থিক প্রতিষ্ঠান || অফিসার জেনারেল (10-03-2023)

A. 10/21
B. 11/21
C. 2/7
D. 5/7

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Answer: Option A

Explanation:

n(S) = 7C2 = 21

n( E) = 5C2 = 5! /2! 3! = 10

কোনো বলই নীল না হওয়ার সম্ভাবনা = n( E) / n(S) = 10/21

659 . A bell rings every 15 minute. If the bell rang at 12.40, which of the following could be a time at which the bell had sounded?

A. 5:30
B. 6:45
C. 7:15
D. 8:10

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Answer: Option D

Explanation:

Very easy technique.

Every hour is 60 minutes, which is divisible by 15.

That means once the bell rang, every hour it will ring no matter what.

So it will ring at 1.40, 2.40, and so on.

It will ring at 5.40 (so it can't be 5:30 because 5.40-5.30= 10 minutes apart)

It will ring at 6.40 (so it can't be 6:45 because 6.45-6.40= 5 minutes apart)

It will ring at 7.40 (so it can't be 7:15 because 7.40-7.15= 25 minutes apart)

It will ring at 8.40 (so it will be 8:10 because 8.40-8.10= 30 minutes apart which is also divisible by 15).

660 . A board of length L feet is cut into two pieces such that the length of one piece is 1 foot more than twice the length of the other piece. Which of the following is the length, in feet, of the longer piece?

A. (2L+1)/2
B. (L-1)/3
C. (2L+3)/3
D. (2L+1)/3

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Answer: Option D

Explanation:

Let length of piece A = 2x - 1

length of piece B = x

2x - 1 + x = L

= >3x - 1 = L

= >x = (L + 1)/3

length of piece A = 2[(L + 1)/3] - 1

= (2L + 2 - 3)/3 = (2L - 1)/3

646 . A and B started a partership business investing some amount in the ratio of 3:5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of the first year be distributed amoung A, B and C?

647 . A and B together can complete a piece of work in 12 days, B and C can do it in 20 days and C and A can do it in 15days. A, B and C together can complete it in:

648 . A and B together can paint a wall in 3 days . A can do it alone in 5 days . How many days would it take B to do this job alone ?

649 . A and B together can paint a wall in 3 days. A can do it alone in 5 days. How many days would it take B to do this job alone?

650 . A B C subscribe TK. 50,000 for a business .A subscribes TK. 4000 more than B and B TK, 5000 more than C Out of a total Profit of TK. 35,000. A receives

651 . A bag and a book costs BDT 1101. If the bag costs 1000 more than the book, how much does the book cost?

652 . A bag contains 2 red, 3 green and 2 blue balls .Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

653 . A bag contains 3 red, 4 white and 5 blue marbles. Jason begins removing marbles from the bag at random, one at a time. what is the least number of marbles he must remove to sure that he has at least one of each color?

654 . A bag of chicken feed can feed 18 chickens for 54 days. For how many days will it feed 12 chickens?

655 . A ball pen factory decided to reduce its production by 10% over that of previous month for next 3 months starting from February 1994. In January 1994, it produced 3000 ball pens. How many ball pens were produced in March 1994?

656 . A bar of soap has a volume of 18 cubic inches. Jasim used it until it measured 2.75 inches by 2 inches by 1 inch. How many cubic inches of soap did jasim use?

657 . A batsman makes a score of 80 runs in the 16th innings and increases average by 3. What is his average after 16th innings?

658 . A beg contains 2 red, 3 green and 2 blue balls. If two balls are drawn at random, what is the probability that none of the balls drawn is blue ?

659 . A bell rings every 15 minute. If the bell rang at 12.40, which of the following could be a time at which the bell had sounded?

660 . A board of length L feet is cut into two pieces such that the length of one piece is 1 foot more than twice the length of the other piece. Which of the following is the length, in feet, of the longer piece?

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