__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 9__

### Chapter - Number System

Difficulty Level of Questions - 1 (Out of 3)

## Q.1. Find the number of zeroes at the end of 1090!

- A. 270
- B. 268
- C. 269
- D. 271

A. 270

### Solution:-

## Q.2. The sides of a pentagonal field (not regular) are 1737 metres, 2358 metres, 1422 metres and 2214 metres respectively. Find the greatest length of the tape by which the sides may be measured completely.

- A. 7
- B. 13
- C. 11
- D. 9

D. 9

### Solution:-

## Q.3. What is the greatest number of 4 digits that when divided by any of the numbers 6,9,12,17 leaves a remainder of 1?

- A. 9997
- B. 9793
- C. 9895
- D. 9487

B. 9793

### Solution:-

## Q.4. Find the number of divisors of 720 (including 1 and 720).

- A. 25
- B. 28
- C. 29
- D. 30

D. 30

### Solution:-

## Q.5. Which of the following can be a number divisible by 24?

- A. 4,32,15,604
- B. 25,61,284
- C. 13,62,480
- D. All of these

C. 13,62,480

### Solution:-

## Q.6. A number is such that when divided by 3,5,6 or 7 it leaves a remainder 1, 3, 4 or 5 respectively. Which is the largest number below 4000 that satisfies this property?

- A. 3358
- B. 3988
- C. 3778
- D. 2938

B. 3988

### Solution:-

## Q.7. A milkman produces three kinds of milk. On a particular day, he has 170 litres, 102 litres and 374 litres of the three kinds of milk. He wants to bottle them in bottles of equal sizes so that each of the three varieties of milk would be completed bottled. How many bottle sizes are possible such that the bottle size in terms of litres is an integer?

- A. 1
- B. 2
- C. 4
- D. 34

C. 4

### Solution:-

## Q.8. The highest power of 12 that completely divides 122!

- A. 54
- B. 56
- C. 57
- D. 58

D. 58

### Solution:-

## Q.9. A number when divided by 84 leaves a remainder of 57. What is the remainder when the same number is divided by 11?

- A. 7
- B. 8
- C. 9
- D. Cannot be determined

C. 9

### Solution:-

## Q.10. 511 and 667 when divided by the same number, leave the same remainder. How many numbers can be used as the divisor in order to make this occur?

- A. 14
- B. 12
- C. 10
- D. 8

B. 12

### 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