## Number system questions with answers SSC CGL Set 28

Number system questions on fractions and remainders in 10 question set SSC CGL 28. Solve in 12 mins. Verify from answers. Learn to solve from solutions.

Answers and link to the quick solutions are at the end.

### 10 Number System questions on fractions, division, remainder, inequality: SSC CGL 28 - Answering time 12 mins

**Problem 1.**

When positive integer A is divided by 5 remainder is 2, and when a second positive integer B is divided by 4 the remainder 1. Which one among the following cannot be the sum of A and B?

- 13
- 14
- 12
- 16

#### Problem 2.

A positive integer $m$ divides a second positive integer $n$ with result 7.55. What can possibly be the value of the remainder of the division among the following?

- 12
- 22
- 18
- 15

#### Problem 3.

Bablu scored a prize point at every round of a village fair game he played. The prize points in a round were, 5 points for 1st position, 4 points for second position and 3 points for third position. If at the end, the product of his points in each round were 2700, how many rounds did he play?

- 5
- 6
- 7
- 8

#### Problem 4.

If $0 \lt a \lt 1$, which one of the following is of minimum value?

- $\displaystyle\frac{1}{a^2}$
- $\displaystyle\frac{1}{\sqrt{a + 1}}$
- $\displaystyle\frac{1}{a^2 + 1}$
- $\displaystyle\frac{1}{(a+1)^2}$

#### Problem 5.

In a certain game, $m$ number of players scored 2 points each and $n$ number of players scored 5 points each. The total score was 50 points. What is the least possible difference between $m$ and $n$ (absolute value only)?

- 1
- 3
- 5
- 7

#### Problem 6.

The denominator of a fraction is 3 more than its numerator. If the numerator is increased by 7 and the denominator is decreased by 2 we get 2. The sum of the numerator and denominator is,

- 17
- 13
- 5
- 19

#### Problem 7.

The sum of numerator and denominator of a positive fraction is 11. If 2 is added to both numerator and denominator, the fraction is increased by $\frac{1}{24}$. The difference of numerator and denominator of the fraction is,

- 1
- 3
- 5
- 9

#### Problem 8.

A tree increases annually by $\frac{1}{8}$th of its height. If it stands 81 feet high today, what was its height (in feet) two years ago?

- 68
- 64
- 66
- 72

#### Problem 9.

The value of $\displaystyle\frac{1}{15} + \displaystyle\frac{1}{35} + \displaystyle\frac{1}{63} + \displaystyle\frac{1}{99} + \displaystyle\frac{1}{143}$ is,

- $\displaystyle\frac{5}{39}$
- $\displaystyle\frac{7}{39}$
- $\displaystyle\frac{4}{39}$
- $\displaystyle\frac{2}{39}$

#### Problem 10.

Which one of the following is a factor of the sum of the first 25 natural numbers?

- 13
- 12
- 24
- 26

**To clarify your doubts** and **know how to solve these questions quickly, go through the solutions,**

**SSC CGL level solution set 28 on number system.**

### Answers to the Number system questions on fractions and remainders SSC CGL Set 28

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

**Problem **2.**Answer:** Option b : 22.

**Problem **3.**Answer:** Option b: 6.

**Problem **4.**Answer:** Option d: $\displaystyle\frac{1}{(a+1)^2}$.

**Problem **5.**Answer:** Option b: 3.

**Problem **6.**Answer:** Option b : 13.

**Problem **7.**Answer:** Option a: 1.

**Problem **8.**Answer:** Option b: 64.

**Problem **9.**Answer:** Option a: $\displaystyle\frac{5}{39}$.

**Problem **10.**Answer:** Option a: 13.

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