451 . There are 2 numbers in the ratio of 4:5. If 4 is subtracted from both numbers the ration becomes 3:4 . What will be the ratio if 4 is added in the both numbers?

A. 1:2
B. 2:3
C. 5:6
D. 1:4

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Answer: Option C

Explanation:

Let

Numbers are 4x and 5x

According to the question,

(4x - 4)/(5x - 4) = 3/4

or, 16x - 16 = 15x - 12

or, 16x - 15x = 12 + 16

or, x = 4

so the numbers are = 4*4 = 16 and 5*4 = 20

Adding 4 the numbers will be = 16 + 4 = 20 and 20 + 4 = 24

Required Ratio = 20:24

= 5:6 (divided by 4)

Ans: 5:6

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Senior Officer- 8 Bank Recruitment Test 31-08-2018

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452 . There are 200 questions on a 3-hour examination. Among these questions 50 are mathematics problems. It is suggested that twice as much as time be spent on each math problem as for each other question. How many minutes should be spent on mathematics problems?

A. 36
B. 72
C. 60
D. 100
E. None of these

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Answer: Option B

Explanation:

Let the time taken for one question be x

Then math question takes 2x

Remaining questions other than math questions are 150

then time taken for the remaining questions is 150x

Time taken to solve math questions = 50 × 2x = 100x

100x + 150x = 3 × 60

250x = 180

x = 180/250

Then time taken for math problems = 2 × 180/250 × 50 = 72

minute

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453 . There are two numbers , 1 st number is 12 more than the 2nd number . The average of the two numbers is 19. If 2 is added in both numbers , find the ratio of the numbers .

A. 5 : 9
B. 11 : 9
C. 4 : 9
D. 9: 5

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Answer: Option D

Explanation:

ATQ,
x - y = 12
x + y = 38
.......................
2x = 50 (Adding the equations)
Or, x = 25
So, y = 13 Then, if 2 is added in both numbers , find the ratio of the numbers = x + 2/y + 2 = 27/15 = 9/5

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Officer (General) -Ansar VDP Unnayan | BD House Building Finance Corporation 28.09.2018

A. 32
B. 12
C. 35
D. 14

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Answer: Option A

Explanation:

2x + 3y = 100 ..... (1)
3x + 2y = 120 ..... (2)
Multiply by 3 in Equation (1) and multiply by 2 in Equation (2) and then subtract
6x+9y=300
6x+4y=240
− − − ––––––––––––––––––
5y=60
y=12
x=32

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বাংলাদেশ ব্যাংক অফিসার ০২ -১২-২০২২

A. 1 hour
B. 40 minutes
C. 30 minutes
D. 2 hours
E. None of these

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Answer: Option A

Explanation:

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456 . Think of a number and then double the number, Add 6 and then multiply the number by 10. Now divide the number by 20, then subtract the number you first thought of, What is the result?

A. 5
B. 4
C. 3
D. 2

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Answer: Option C

Explanation:

Let, a number is = P

2P+6

10(2P+6)

10(2P+6)/20

10(2P+6)/20 - P

= (2P+6)/2 - P

= P+3 - P

= 3 (Ans)

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সমন্বিত ৫ ব্যাংক | অফিসার ক্যাশ | 25-03-2022 ||

A. 20°
B. 10°
C. 30°
D. 25°

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Answer: Option A

Explanation:

ATQ,
5x + 6x + 7x = 180
Or, 18x = 180
Or, x = 10
So, the difference in degrees between the biggest and the smallest angles = 70 - 50 = 20 degree.

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Sonali- Rupali- Bangladesh Krishi- Rajshahi krishi unnayn-Investment Corporation of Bangladesh | 30.11.2018

A. 5 : 7 : 8
B. 20 : 49 : 64
C. 38 : 28 : 21
D. None of these

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Answer: Option B

Explanation:

Let their investments be Tk. x for 14 months, Tk. y for 8 months and Tk. z for 7 months respectively.
Then, 14x : 8y : 7z = 5 : 7 : 8.
Now,
14x/8y = 5/7
⇒98x = 40y
⇒y = 49x/20
And, 14x/7z = 5/8
⇒112x = 35z
⇒z = 112x/35 = 16x/5
So x:y:z = x:49x/20:16x/5
(Multiply by 20)
⇒20:49:64

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অফিসার (ক্যাশ ) - Sonali | Rupali | BD Krishi | Rajshahi Krishi Unnayn | Investment Corporation Of Bangladesh - ২৯. ০৩.২০১৯

A. The program provides uninteresting work
B. It is difficult to find work for all the program's graduates
C. The number of 17 and 18 year old youths has increased over the past three year
D. Unemployment benefits are known while future salaries are not
E. Youths are unaware of the program's benefits

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Answer: Option C

Explanation:

To determine the option that does not weaken the argument, we need to identify the option that does not provide a potential reason for over one hundred thousand 17 and 18-year-olds to still sign on for unemployment benefits despite the government introducing the Youth Training Program. Let's analyze the options provided:

A. The program provides uninteresting work.
This option weakens the argument by suggesting that the Youth Training Program may not offer engaging or fulfilling work, which could discourage teenagers from participating and lead them to opt for unemployment benefits instead.

B. It is difficult to find work for all the program's graduates.
This option weakens the argument by indicating that the program may not have enough job opportunities to accommodate all its graduates. If the graduates struggle to find work, they may end up signing on for unemployment benefits.

C. The number of 17 and 18-year-old youths has increased over the past three years.
This option does not weaken the argument. If the number of 17 and 18-year-olds has increased, it could contribute to the high number of teenagers signing on for unemployment benefits, as the program may not be able to accommodate all the new participants.

D. Unemployment benefits are known while future salaries are not.
This option weakens the argument by suggesting that teenagers may prefer the immediate certainty of unemployment benefits over the uncertainty of future salaries that they may receive through the Youth Training Program.

E. Youths are unaware of the program's benefits.
This option weakens the argument by suggesting that teenagers may not be aware of the benefits offered by the Youth Training Program. Their lack of awareness could lead them to choose unemployment benefits instead.

Based on the analysis, option C is the one that does not weaken the argument. The increase in the number of 17 and 18-year-olds over the past three years can be a contributing factor to the high number of teenagers signing on for unemployment benefits, regardless of the introduction of the Youth Training Program.

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Bangladesh Bank - Assistant Director - 2011

A. 4 PM same day
B. 2 PM same day
C. 6 PM same day
D. 1 PM same day
E. None of them

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Answer: Option A

Explanation:

For rate - time - distance questions, try to reduce the question to as few unknown quantities as possible. Instead of a separate r, t, and d for each train, look for commonalities:
Both trains travel the same distance, so there's only one "d"
We don't know the time, but we know that Train Y took less time, since it left an hour and half later. So if Train X took t hours to travel some distance, Train Y only took (t - 1.5) hours.
The rates aren't given, but we know that train Y was 4/3 the rate of train X.
Let's set it up. Since rate*time = distance and the distances are equal, we can set Train X's rate * time equal to Train Y's rate * time
xt = 43x(t−1.5)xt = 43x(t−1.5)
Working through the problem, we get
xt = 43xt−4/3∗1.5xt = 43xt−4/3∗1.5 here it can be helpful to recognize that 1.5 is just 3232, and cancel out the 3's: 43∗32 = 243∗32 = 2
xt = 43xt−2xt = 43xt−2
Subtract xt from both sides, and add 2 to both sides, and we get: 2 = 13t2 = (1/3)t
6 = t
So, adding 6 hours to Train X's starting time, we get 4:00 pm as the time that train Y will catch train X.

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Bangladesh Bank - Assistant Director - 2012

A. 50°
B. 85°
C. 90°
D. 95°
E. None of these

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Answer: Option A

Explanation:

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462 . Two banks offer interest rates of 6% & 7% respectively on savings account. Mr. X deposited a total amount of Tk.4000 in the bank and in one year his interest income was Tk.250. Find the investment in the bank with 7% interest?

A. 3500
B. 2500
C. 8000
D. 2000
E. None of them

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Answer: Option E

Explanation:

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463 . Two circles of equal radii touch externally at a point P . Form a point T on the target at P target TQ and TR are drawn to the circles with points of contact Q and R respectively. The relations of TQ and TR is

A. T = TR
B. TQ> TR
C. TQ = TR
D. TQ = 2 Tk.

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Answer: Option C

Explanation:

TR, TP are two tangents drawn to a bigger circle from an external point T. we know that, length of tangents drawn from external point to circle are equal ∴TR = TP ___(i) Similarly TP, TQ are two tangent drawn to a smaller circle from an external point T. Again we have TP = TQ __(ii) From (i) & (ii), we have TR = TQ

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Sonali &amp-Janata Bank | Officer (IT)| 04.01.2019

A. 2 hours
B. 9/2 hours
C. 23/4 hours
D. 6 hours
E. None of these

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Answer: Option B

Explanation:

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465 . Two lots of onions with equal quantity, one costing Tk. 10 per kg and the other costing Tk. 15 per kg are mixed together and whole lot is sold at Tk. 15 per kg . What is the profit or loss?

A. 10% loss
B. 10 % profit
C. 20% loss
D. 20% profit

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Answer: Option D

Explanation:

Let each lot of onion - contain N kg onion, Then total cost price of these two lots together = 10N + 15N = 25N Selling price of whole lot = 15 x (N + N) = 15 x 2N = 30N Profit percentage = [(30N - 25N)/25N] x 100 % = (5/25) x 100% = 20%

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Sonali &amp-Janata Bank | Officer (IT)| 04.01.2019

451 . There are 2 numbers in the ratio of 4:5. If 4 is subtracted from both numbers the ration becomes 3:4 . What will be the ratio if 4 is added in the both numbers?

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452 . There are 200 questions on a 3-hour examination. Among these questions 50 are mathematics problems. It is suggested that twice as much as time be spent on each math problem as for each other question. How many minutes should be spent on mathematics problems?

453 . There are two numbers , 1 st number is 12 more than the 2nd number . The average of the two numbers is 19. If 2 is added in both numbers , find the ratio of the numbers .

454 . There are two numbers where the sum of twice the first number and thrice the second number is 100. And the sum of thrics the first number and twice the second number is 120. Which is the largest number?

456 . Think of a number and then double the number, Add 6 and then multiply the number by 10. Now divide the number by 20, then subtract the number you first thought of, What is the result?

457 . Three angles of a triangle are in proportion 5: 6: 7. Then what is the difference in degrees between he biggest and the smallest angles?

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

459 . Three years ago the government introduced the Youth Training Program to guarantee teenagers leaving school an alternative to the dole. Today, over one hundred thousand 17 and 18 year olds are still signing on for unemployment benefits . Each of the follow

460 . Train X leaves Dhaka at 10:00 AM and travels East at a constant speed of x miles per hour . If another Train Y leaves Dhaka at 11:30 AM and travels east along the same tracks at speed 4x/3 , then at what time will Train Y catch Train X ?

461 . Triangle XYZ and two angles measure are shown in the diagram below. What is the measure of ∠Y?

462 . Two banks offer interest rates of 6% & 7% respectively on savings account. Mr. X deposited a total amount of Tk.4000 in the bank and in one year his interest income was Tk.250. Find the investment in the bank with 7% interest?

463 . Two circles of equal radii touch externally at a point P . Form a point T on the target at P target TQ and TR are drawn to the circles with points of contact Q and R respectively. The relations of TQ and TR is

465 . Two lots of onions with equal quantity, one costing Tk. 10 per kg and the other costing Tk. 15 per kg are mixed together and whole lot is sold at Tk. 15 per kg . What is the profit or loss?

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