__CAT, CMAT, XAT, MAT, GMAT, IIFT, SNAP, NMAT By GMAC, ATMA, IBSAT, TS ICET, AP ICET, JEMAT, MAH MBA CET, B-MAT, NIPER JEE MBA, CUSAT CAT, TISSNET, MICAT, KIITEE Management, UPES MET, Karnataka PGCET, KMAT, TANCET, IRMASAT Solved Practice Questions (QA) - Part 2__

### Chapter - Ratio, Proportion and Variation

Difficulty Level of Questions - 1 (Out of 3)

## Q.1. If (p / (q+r)) = (q / (p+r)) = (r / (p+q)) each fraction is equal to

A. (p+q+r)²

B. 1/2

C. 1/3

D. None of these

### Solution:-

## Q.2. If 10 persons can clean 10 floors by 10 mops in 10 days, in how many days can 8 persons clean 8 floors by 8 mops?

A. 12 ¹/2 days

B. 8 days

C. 10 days

D. 8 ¹/2 days

### Solution:-

## Q.3. The incomes of P and Q are in the ratio 1:2 and their expenditures are in the ratio 1:3. If each saves ₹ 500, then, P's income can be:

A. ₹ 1000

B. ₹ 1500

C. ₹ 3000

D. ₹ 2000

### Solution:-

## Q.4. If p, q, r and s are proportional then the mean proportion between p²+q² and q²+r² is

A. pr/qs

B. pq + rs

C. p/q + s/r

D. p²/q² + r²/s²

### Solution:-

## Q.5. ₹ 3000 is distributed among p, q and r such that p gets 2/3rd of what q and r together get and r gets 1/2 of what p and q together get. Find r's share.

A. ₹ 750

B. ₹ 1000

C. ₹ 800

D. ₹ 1200

### Solution:-

## Q. 6. If the ratio of the ages of A and B is 2:5 at present, and fifteen years from now, the ratio will get changed to 7:13, then find A's present age.

A. 20 years

B. 30 years

C. 15 years

D. 25 years

### Solution:-

## Q.7. If ₹ 232 is divided among 150 children such that each girl and boy gets ₹ 1 and ₹ 2 respectively. Then how many girls are there?

A. 52

B. 54

C. 68

D. 62

### Solution:-

## Q. 8. If 620 bananas were distributed among three monkeys in the ratio of 1/3:1/2:1/5, how many bananas did the first monkey get?

A. 200

B. 180

C. 102

D. 104

### Solution:-

## Q.9. A cask contains 15 gallons of a mixture of wine and water in the ratio of 2:1. How much water must be drawn off, so the ratio of wine and water in the cask may become 4:1?

A. 30 litres

B. 2.5 litres

C. 5 litres

D. None of these

### Solution:-

## Q.10. The total number of pupils in the three classes of a school is 700. The number of pupils in classes I and II are in the ratio of 1:4 and those in classes II and III are in the ratio of 3:5. Find the number of pupils in the class that had the highest number of pupils.

A. 60

B. 125

C. 105

D. 400

### Solution:-

**Questions Courtesy: How to prepare for Quantitative Aptitude for CAT by Arun Sharma**

## Books I recommend for Quantitative Aptitude:

### 1. How to Prepare for Quantitative Aptitude for CAT by Arun Sharma

### 2. Ace Quantitative Aptitude For Banking and Insurance

### 3. Quantitative Aptitude Quantum CAT by Sarvesh K Verma

### 4. Quantitative Aptitude for Competitive Examinations by R.S. Aggarwal

*Self Typed

*Source- Books, Internet, Self-Analysis