481 . The sum of the digits of two -digit number is 10, while when the digits are reversed , the number decrease by 54. Find the changed number .

A. 19
B. 46
C. 37
D. 28

View Answer	Favorite Question

Answer: Option D

Explanation:

Let the original number is 82 i.e 8 + 2 = 10 and when the digits are reversed i.e 28 The difference is 82 - 28 = 54 i.e, the number is decreased by 54.

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

প্রিমিয়াম প্ল্যান: ১ মাস

99 ৳

৩০ দিনের জন্য সকল লাইভ এবং আর্কাইভ মডেল টেস্ট, প্রশ্ন ব্যাংক ও লেকচার শিট সহ অ্যাপ এর প্রিমিয়াম সব এক্সেস পাবেন।

সাবস্ক্রিপশন লিংক

482 . The sum of two numbers is 5. And their product is 4 Then what is the difference between the numbers ?

A. 1
B. 2
C. 3
D. 4
E. None of them

View Answer	Favorite Question

Answer: Option C

Explanation:

ATQ,
x + y = 5......(i) ,
xy = 4
So, x - y = 3 .....(ii)
We get from (i) + (ii) -
2x = 8
or, x = 5
So, y = 1
Now, x - y = 4 - 1 = 3

Bangladesh Bank - Assistant Director - 2012

A. 12, 5
B. 13, 4
C. 14, 3
D. 24, 10

View Answer	Favorite Question

Answer: Option A

Explanation:

Hints: এই ম্যথটি করলে উত্তর দেখে করলে দ্রুত হয়। প্রশ্নমতে দুইটি সংখ্যাকে যোগ করে বড় সংখ্যা দিয়ে গুন করলে 204 হয়। প্রথম উত্তর দিয়ে = (12 + 5) × 12 = 204 মিলে গেছে। বাকি গুলা যদি না মেলে তাহলে এাটই উত্তর।

484 . The taxicab charges TK. 4.60 for the first 0.2 mile of a trip and TK. 1.20 for each of 0.2 of a mile or a part thereof . If the trip is 2.5 miles one way and the waiting charge is TK. 7.50 for 30 minutes or part thereof . What will be the fare for a roun

A. 50
B. 55
C. 60
D. 6.50
E. 75

View Answer	Favorite Question

Answer: Option B

Explanation:

Total distance traveled = 2.5 × 2 = 5 miles

Charge for first 0.2 mile = Tk. 4.6

Charge for next 4.8 mile = 1.2 × 4.8/0.2 = Tk. 28.8

Waiting charge = 7.5 × 3 = Tk. 22.5

Total charge = 4.6 + 28.8 + 22.5 = Tk.55.9

Bangladesh Bank - Assistant Director - 2011

A. 1500
B. 14400
C. 16450
D. 12350
E. None of them

View Answer	Favorite Question

Answer: Option B

Explanation:

Income in 2003 = x
Income in 2004 = .20x + x
income in 2005 = (x + .20x) + .20(x + .20x)
Now,x + .20x + x + x + .20x + .20x + .04x = 36400
x = 10000
income in 2005 = 14400

Bangladesh Bank - Assistant Director - 2012

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

View Answer	Favorite Question

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

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

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

View Answer	Favorite Question

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

488 . 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

View Answer	Favorite Question

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

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

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

View Answer	Favorite Question

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

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

View Answer	Favorite Question

Answer: Option A

Explanation:

491 . 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°

View Answer	Favorite Question

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

View Answer	Favorite Question

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

481 . The sum of the digits of two -digit number is 10, while when the digits are reversed , the number decrease by 54. Find the changed number .

482 . The sum of two numbers is 5. And their product is 4 Then what is the difference between the numbers ?

483 . The sum of two positive integers multiplied by the bigger number is 204, and their difference multiplied by the smaller number is 35. The numbers are:

484 . The taxicab charges TK. 4.60 for the first 0.2 mile of a trip and TK. 1.20 for each of 0.2 of a mile or a part thereof . If the trip is 2.5 miles one way and the waiting charge is TK. 7.50 for 30 minutes or part thereof . What will be the fare for a roun

485 . The total income of Mr. Sakib in the years 2003 , 2004, and 2005 was TaKa 36,400 . His income increased by 20% each year. What was his income in 2005 ?

486 . 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?

487 . 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?

488 . 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 .

489 . 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?

491 . 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?

492 . 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?

493 . 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 ?

494 . 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

495 . 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 ?

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