This Article consist of most important ” Simplification Questions and Answers ” that are mostly asked in all competitive exams. We collected these questions from the students who appeared in exams. Now try to solve these questions.

## Simplification Questions and Answers

**Question : 1** Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:

A. 1/7

B. 1/8

C. 1/9

D. 7/8

**Show Answer**

**Correct Answer : ** **A**

**Explanation : **

Original share of 1 person = 1/8

New share of 1 person = 1/7

Increase =1/7 – 1/8 =1/56

Required fraction =(1/56)/(1/8) = (1/56 x 8/1) = 1/7

**Question : 2** One-third of Rahul’s savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?

A. Rs. 1200

B. Rs. 50,000

C. Rs. 60,000

D. Rs. 90,000

**Show Answer**

**Correct Answer : ** C

**Explanation : **

Let savings in N.S.C and P.P.F. be Rs. x and Rs. (150000 – x) respectively. Then,

1/3x = 1/2(150000 – x)

x/3 + x/2= 75000

=90000

Savings in Public Provident Fund = Rs. (150000 – 90000) = Rs. 60000

**Question : 3 ** The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?

A. Rs. 1200

B. Rs. 2400

C. Rs. 4800

D. Cannot be determined

**Show Answer**

**Correct Answer : ** B

**Explanation : **

Let the price of a saree and a shirt be Rs. x and Rs. y respectively.

Then, 2x + 4y = 1600 …. (i)

and x + 6y = 1600 …. (ii)

Divide equation (i) by 2, we get the below equation.

=> x + 2y = 800. — (iii)

Now subtract (iii) from (ii)

x + 6y = 1600 (-)

x + 2y = 800

—————-

4y = 800

—————-

Therefore, y = 200.

Now apply value of y in (iii)

=> x + 2 x 200 = 800

=> x + 400 = 800

Therefore x = 400

Solving (i) and (ii) we get x = 400, y = 200.

Cost of 12 shirts = Rs. (12 x 200) = Rs. 2400.

**Question : 4 ** There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:

A. 20

B. 80

C. 100

D. 200

**Show Answer**

**Correct Answer : ** C

**Explanation : **

Let the number of students in rooms A and B be x and y respectively.

Then, x – 10 = y + 10 x – y = 20 …. (i)

and x + 20 = 2(y – 20) x – 2y = -60 …. (ii)

Solving (i) and (ii) we get: x = 100 , y = 80.

The required answer A = 100

**Question : 5 ** A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?

A. 45

B. 60

C. 75

D. 90

**Show Answer**

**Correct Answer : ** **D**

**Explanation : **

Let number of notes of each denomination be x.

Then x + 5x + 10x = 480

16x = 480

x = 30.

Hence, total number of notes = 3x = 90 notes.