## Number system questions for SSC Set 71 with answers

Solve 10 number system questions for SSC in 15 minutes. Verify correctness from answers. Learn to solve quickly from paired solution set.

Contents are,

- 10 number system questions for SSC Set 71.
- Answers to the number system questions for SSC.

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

### 10 Number system questions for SSC Set 71 - time to solve 15 minutes

#### Problem** 1.**

If 1 is added to both the numerator and denominator of a fraction it become $\displaystyle\frac{1}{4}$. If 2 is added to both the numerator and denominator it becomes $\displaystyle\frac{1}{3}$. Sum of the numerator and denominator is,

- 13
- 8
- 27
- 22

#### Problem** 2.**

The difference between two positive numbers is 3. If sum of their squares is 369, then the sum of the numbers is,

- 25
- 81
- 27
- 33

#### Problem 3.

If 2 is subtracted from the sum of digits of a two digit number whose unit's digit is twice the ten's digit, the result is one-sixth of the number. The number is,

- 25
- 36
- 24
- 48

#### Problem** 4.**

A number when divided by 361 gives a remainder 47. If the same number is divided by 19 what will be the remainder?

- 1
- 3
- 8
- 9

#### Problem** 5.**

If total head count of cows and hens in a farm is 180 and the total leg count of same cows and hens is 420, the number of cows is,

- 130
- 150
- 30
- 50

#### Problem 6.

In a three digit number, the digit at the hundred's place is two times the digit at the unit's place and sum of the three digits is 18. If the digits are reversed the number is reduced by 396. The difference of hundred's and ten's digits of the number is,

- 5
- 2
- 1
- 3

#### Problem** 7.**

If the sum of two numbers are multiplied by each number separately, the products so obtained are 247 and 114. The sum of the numbers is,

- 20
- 19
- 21
- 23

#### Problem** 8.**

Find the maximum value of $F$ in the following equation, $5E9+2F8+3G7=1114$ where $E$, $F$ and $G$ stands for any integer.

- 5
- 9
- 7
- 8

#### Problem** 9.**

The least number that should be added to 2055 so that the sum is exactly divisible by 27 is,

- 24
- 28
- 27
- 31

** Problem** 10.

A fraction having denominator 30 and lying between $\frac{5}{8}$ and $\frac{7}{11}$ is,

- $\frac{19}{30}$
- $\frac{18}{30}$
- $\frac{20}{30}$
- $\frac{21}{30}$

Learn to solve the questions quickly from the paired solution set,

**Solution to the number system questions for SSC Set 71.**

### Answers to the Number system questions for SSC set 71

**Problem 1. Answer:** Option b: 8.

**Problem 2. Answer:** Option c: 27.

**Problem 3. Answer:** Option c: 24.

**Problem 4. Answer:** Option d: 9.

**Problem 5. Answer:** Option c: 30.

**Problem 6. Answer:** Option b: 2.

**Problem 7. Answer:** Option b: 19.

**Problem 8. Answer:** Option b: 9.

**Problem 9. Answer:** Option a: 24.

**Problem 10. Answer:** Option a: $\displaystyle\frac{19}{30}$.

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