451 . 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?

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

NRBC Bank PLC || Trainee Assistant Officer (TAO) (26-10-2024) || 2024

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সাবস্ক্রিপশন লিংক

452 . There are two taps in water tank. The first tap pumps water in the tank and the escond one drains it out. The first tap takes 30 minutes to make the tank full and the second tap needs 40 minutes to drain that water out. If both taps are opened at the same time, how long will it take to make a half-full tank?

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

View Answer	Favorite Question

Answer: Option A

Explanation:

453 . 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

View Answer	Favorite Question

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)

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.

Bangladesh Bank - Assistant Director - 2011

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

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

View Answer	Favorite Question

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.

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

View Answer	Favorite Question

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.

Bangladesh Bank - Assistant Director - 2012

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

View Answer	Favorite Question

Answer: Option A

Explanation:

459 . 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

View Answer	Favorite Question

Answer: Option E

Explanation:

460 . 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.

View Answer	Favorite Question

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

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

View Answer	Favorite Question

Answer: Option B

Explanation:

462 . 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

View Answer	Favorite Question

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%

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

A. 82
B. 119
C. 65
D. 93
E. 66

View Answer	Favorite Question

Answer: Option C

Explanation:

Distance between two plane = √ (33)2 + (56)2 = 65

Bangladesh Bank - Assistant Director - 2011

A. 20 meter
B. 15 meter
C. 10 meter
D. 100 meter

View Answer	Favorite Question

Answer: Option C

Explanation:

বাংলাদেশ ব্যাংক || সহকারী পরিচালক 28-10-2022

A. 1000
B. 900
C. 1200
D. 1400
E. 1350

View Answer	Favorite Question

Answer: Option D

Explanation:

1st tank holds = a gallons

2nd tank holds = a + 600 gallons

100 gallons pumped out

a + 600 - 100 = (a - 100)*3

a = 400

1st tank holds = 400 gallons

2nd tank holds = 1000 gallons

1st tank + 2nd tank = 1400 gallons (ans)

451 . 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?

453 . 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?

454 . 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?

455 . 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 ?

456 . 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

457 . 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 ?

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

459 . 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?

460 . 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

462 . 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?

463 . Two planes leave the airport at the same time . Minutes later, plane A is 33 miles due north of the airport and plane B is 56 miles due east of the airport . How far apart are the two planes ?

464 . Two small circular parks of diameter 16 meter and 12 meter are to be replaced by a bigger circular park. What would be the radius of this new park, if the new park has to occupy the same space as the two small parks?

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