## Number System Questions with Answers

Solve 10 carefully selected number system questions for SSC CGL. Verify results from answers. Learn to solve quickly from linked conceptual solutions.

Answers to the questions and the link to conceptual solution set are at the end.

### 10 Number System questions for SSC CGL Set 89 - time to solve 12 mins

#### Problem** 1.**

A fraction is greater than its reciprocal by $\displaystyle\frac{9}{20}$. What is the fraction?

- $\displaystyle\frac{4}{5}$
- $\displaystyle\frac{5}{4}$
- $\displaystyle\frac{4}{3}$
- $\displaystyle\frac{3}{4}$

#### Problem** 2.**

A number is greater than 58 times its reciprocal by $\displaystyle\frac{3}{4}$. What is the number?

- $8$
- $-8$
- $-12$
- $12$

#### Problem 3.

The ten's digit of a two digit number is larger than the unit's digit by 7. If we subtract 63 from the number, the new number obtained is a number formed by interchange of the digits. The new number formed in this way don't have any factor common with the original number. Find the original number.

- 92
- 29
- 70
- 18

#### Problem** 4.**

The reciprocal of the sum of reciprocals of $\displaystyle\frac{2}{9}$ and $\displaystyle\frac{7}{10}$ is,

- $\displaystyle\frac{83}{90}$
- $\displaystyle\frac{14}{83}$
- $\displaystyle\frac{83}{14}$
- $\displaystyle\frac{90}{83}$

#### Problem** 5.**

Which one is the largest among the fractions, $\displaystyle\frac{5}{113}$, $\displaystyle\frac{7}{120}$, $\displaystyle\frac{13}{125}$ and $\displaystyle\frac{17}{160}$

- $\displaystyle\frac{13}{145}$
- $\displaystyle\frac{7}{120}$
- $\displaystyle\frac{5}{113}$
- $\displaystyle\frac{17}{160}$

#### Problem 6.

The sum of three consecutive natural numbers each divisible by 5 is 225. The middle number among them is,

- 75
- 80
- 85
- 70

#### Problem** 7.**

A rational number lying between $\displaystyle\frac{1}{2}$ and $\displaystyle\frac{3}{5}$ is,

- $\displaystyle\frac{3}{5}$
- $\displaystyle\frac{2}{5}$
- $\displaystyle\frac{11}{20}$
- None of these

#### Problem** 8.**

$\left(999\displaystyle\frac{999}{1000}\times{7}\right)$ is equal to,

- $7000\displaystyle\frac{7}{1000}$
- $6683\displaystyle\frac{7}{1000}$
- $6993\displaystyle\frac{7}{1000}$
- $6999\displaystyle\frac{993}{1000}$

#### Problem** 9.**

The number 323 has,

- three prime factors
- two prime factors
- five prime factors
- no prime factor

** Problem** 10.

A, B, C and D purchase a gift worth Rs.60. A pays $\frac{1}{2}$ of what others are paying. B pays $\frac{1}{3}$rd of what others are paying and C pays $\frac{1}{4}$th of what others are paying. What is the amount paid by D?

- Rs.13
- Rs.16
- Rs.15
- Rs.14

To learn how to solve the 10 questions easy and quick, go through the companion solution set at,

**Solution to Number system questions for SSC CGL Set 89.**

### Answers to the number system questions for SSC CGL Set 89

**Problem 1. Answer:** Option b: $\displaystyle\frac{5}{4}$.

**Problem 2. Answer:** Option a: 8.

**Problem 3. Answer:** Option a: 92.

**Problem 4. Answer:** Option b: $\displaystyle\frac{14}{83}$.

**Problem 5. Answer:** Option d: $\displaystyle\frac{17}{160}$.

**Problem 6. Answer:** Option a: 75.

**Problem 7.** **Answer:** Option c: $\displaystyle\frac{11}{20}$.

**Problem 8. Answer:** Option d: $6999\displaystyle\frac{993}{1000}$.

**Problem 9. Answer:** Option b: two prime factors.

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

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