## Selected number system questions for SSC CGL Tier 2 Set 29

Solve 10 selected number system questions for SSC CGL Tier 2 in 12 minutes. Verify correctness from answers and learn to solve quickly from solutions.

Contents are,

- 10 selected number system questions for SSC CGL Tier 2 to solve in 12 minutes.
- Answers to the questions.

The * answers to the questions and link to the solutions* are at the end.

### Number system questions for SSC CGL Tier 2 Set 29 - time to solve 12 mins

**Problem 1.**

The smallest fraction that should be added to the sum of $2\frac{1}{2}$, $3\frac{1}{3}$, $4\frac{1}{4}$, and $5\frac{1}{5}$, to make the result a whole number is,

- $\frac{43}{60}$
- $\frac{13}{60}$
- $\frac{17}{60}$
- $\frac{1}{4}$

**Problem 2.**

Three electronic devices make a beep after every 48 seconds, 72 seconds and 108 seconds respectively. They beeped together at 10 am. The time when the devices will next make a beep together at the earliest is,

- 10:07:48 hours
- 10:07:12 hours
- 10:07:36 hours
- 10:07:24 hours

**Problem 3.**

Two baskets have 640 oranges. If $\displaystyle\frac{1}{5}$th of the oranges in the first basket be taken to the second basket then number of oranges in both baskets become equal. The number of oranges in the first basket was,

- 300
- 600
- 400
- 800

**Problem 4.**

Which of the following statement(s) is/are true?

- The sum of first 20 odd numbers is 400.
- The total number of positive factors of 72 is 12.
- The largest two digit prime number is 97.

- Only II and III
- Only I and III
- Only I and II
- All are true

**Problem 5.**

N is the largest two digit number which when divided by 3, 4 and 6 leaves the remainders 1, 2 and 4 respectively. What is the remainder when N is divided by 5?

- 4
- 1
- 0
- 2

#### Problem 6.

Twenty one times a positive integer is less than its square by 100. The value of the positive integer is,

- 26
- 42
- 25
- 41

** Problem 7.**

A General of an army wanted to form a square from 36562 armies. After the square formation, he found some armies still left. How many armies were left?

- 81
- 97
- 65
- 36

** Problem 8.**

The sum of two positive integers is 80 and the difference between them is 20. What is the difference between squares of these numbers?

- 2000
- 1600
- 1400
- 1800

** Problem 9.**

Sum of three fractions is $2\frac{11}{24}$. On dividing the largest fraction by the smallest fraction $\displaystyle\frac{7}{6}$ is obtained which is greater than the middle fraction by $\displaystyle\frac{1}{3}$. The smallest fraction is,

- $\displaystyle\frac{5}{8}$
- $\displaystyle\frac{5}{6}$
- $\displaystyle\frac{3}{7}$
- $\displaystyle\frac{3}{4}$

** Problem 10.**

A certain number when successively divided by 8 and 11 leaves remainder 3 and 7 respectively. Find the remainder if the same number is divided by 88.

- 51
- 57
- 59
- 61

Learn to solve quickly in from the solution set,

**SSC CGL tier 2 solutions number system Set 29.**

### Answers to the number system questions for SSC CGL Tier 2 Set 29

**Problem 1. Answer:** Option a: $\displaystyle\frac{43}{60}$.

**Problem 2. Answer:** Option b: 10:07:12 hours.

**Problem 3. Answer:** Option c: 400.

**Problem 4. Answer:** Option d: All are true.

**Problem 5. Answer:** Option a: 4.

**Problem 6. Answer:** Option c: 25.

**Problem 7. Answer:** Option a: 81.

**Problem 8. Answer:** Option b: 1600.

**Problem 9. Answer:** Option d: $\displaystyle\frac{3}{4}$.

**Problem 10. Answer:** Option c: 59.

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