## 54th Set of number system questions for SSC CGL with answers

Solve 10 carefully selected number system questions of SSC CGL Set 54 in 12 mins. Verify results from answers. Learn to solve quick from linked solutions.

Answers and link to the companion solution set are at the end.

### 10 Number system questions for SSC CGL Set 54 - time to solve 12 mins

**Problem 1.**

Sum of squares of two positive integers is 100 and the difference of their squares is 28. The sum of the numbers is,

- 15
- 14
- 13
- 12

**Problem 2.**

A number when divided by 6 leaves a remainder of 3. When the square of the number is divided by 6 the remainder is,

- 0
- 1
- 3
- 2

**Problem 3.**

The average of 5 consecutive positive even numbers is 86. What is the product of the third and the fourth numbers?

- 7704
- 4077
- 4707
- 7568

**Problem 4.**

A four digit number is formed by repeating a 2 digit number like 1212, 3434 etc. Any number of this form is always divisible by,

- 13
- 11
- 7
- Smallest 3 digit prime number

**Problem 5.**

The product of two consecutive odd numbers is 28899. The square root of the smaller number is,

- 13
- 7
- 11
- 3

#### Problem 6.

The largest number that exactly divides any number of the form $p^3-p$, where $p$ is a natural number, is,

- 6
- 12
- 2
- 3

** Problem 7.**

How many numbers less than 1000 are multiples of both 13 and 10?

- 7
- 6
- 8
- 9

** Problem 8.**

A number when divided by 5 leaves a remainder of 3. What will be the remainder when the square of the same number is divided by 5?

- 1
- 4
- 2
- 3

**Problem 9.**

The largest number which when divides 398, 436 and 542 leaves remainders as 7, 11 and 15 respectively, is,

- 7
- 13
- 17
- 23

** Problem 10.**

In a series of odd numbers, the first number is 1, the second 3, the third 5 and so on. What will be the 200th odd number in the series?

- 357
- 421
- 599
- 399

Learn how to solve the questions easy and quick from the companion solution set at,

**SSC CGL Solution Set 54 on Number system.**

### Answers to number system questions for SSC CGL Set 54

**Problem 1.** **Answer:** Option b: 14.

**Problem 2. Answer:** Option c: 3.

**Problem 3.** **Answer:** Option d: 7568.

**Problem 4.** **Answer:** Option d: Smallest 3 digit prime number.

**Problem 5.** **Answer:** Option a: 13.

**Problem 6.** **Answer:** Option a : 6.

**Problem 7. Answer:** Option a: 7.

**Problem 8.** **Answer:** Option b: 4.

**Problem 9.** **Answer:** Option c: 17.

**Problem 10.** **Answer: **Option d: 399.

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