## 46th SSC CGL level Question Set, 7th on topic Number System

This is the 46th question set of 10 practice problem exercise for SSC CGL exam and 7th on topic Number System. Students must complete this question set in prescribed time first and then only refer to the corresponding solution set for extracting maximum benefits from this resource.

In MCQ test, you need to deduce the answer in shortest possible time and select the right choice.

Based on our analysis and experience we have seen that, for accurate and quick answering, the student

- must have complete understanding of the basic concepts in the topic area
- is adequately fast in mental math calculation
- should try to solve each problem using the basic and rich concepts in the specific topic area and
- does most of the deductive reasoning and calculation in his or her head rather than on paper.

Actual problem solving is done in the fourth layer. You need to use **your problem solving abilities** to gain an edge in competition.

### 46th question set- 10 problems for SSC CGL exam: 7th on topic Number System - time 12 mins

**Problem 1.**

Two numbers 7655 and 11284 when divided by a third number of three digits, the remainder left in both cases is same. The sum of the digits of the three digit number is then,

- 9
- 11
- 10
- 8

**Problem 2.**

The value of $(0.34\overline{68}+0.17\overline{32})$ is,

- $0.52\overline{01}$
- $0.\overline{51}$
- $0.52$
- $0.5\overline{1}$

**Problem 3.**

If $p$ and $q$ are positive integers and $(p-q)$ is an even number, then $(p^2-q^2)$ will always be divisible by,

- 4
- 6
- 12
- 8

**Problem 4.**

3957 is added to 5349 and 7062 is subtracted from the resulting sum. The final result is then not divisible by,

- 3
- 4
- 7
- 11

**Problem 5.**

If the sum of digits of any integer lying between 100 and 1000 is subtracted from the number, the result will always be divisible by,

- 9
- 6
- 2
- 5

#### Problem 6.

How many numbers between 400 and 900 are divisible by 4, 5 and 6?

- 8
- 7
- 9
- 10

** Problem 7.**

When a number is divided by 56, the remainder left is 29. What will be the remainder when the number is divided by 7?

- 6
- 3
- 1
- 2

** Problem 8.**

64329 is divided by a certain number getting 175, 114 and 213 as three successive remainders. The divisor is then,

- 296
- 234
- 184
- 224

**Problem 9.**

A number when successively divided by 4 and 5 leaves remainders 1 and 4 respectively. The remainders left when the number is divided by 5 and 4 successively will be,

- 1, 4
- 2, 1
- 2, 3
- 3, 2

** Problem 10.**

If two numbers are each divided by the same number the remainders are respectively 4 and 3. If again the sum of the numbers are divided by the same divisor, the remainder now is 2. The divisor is,

- 3
- 9
- 5
- 7

### Answers to the questions

**Problem 1. Answer:** b: 11.

**Problem 2.** **Answer:** Option a : $0.52\overline{01}$ .

**Problem 3. Answer:** Option a: 4.

**Problem 4.** **Answer:** c: 7.

**Problem 5.** **Answer:** Option a: 9.

**Problem 6.** **Answer:** Option a : 8.

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

**Problem 8.** **Answer:** Option b: 234.

**Problem 9.** **Answer:** Option c: 2, 3.

**Problem 10.** **Answer:** Option c: 5.

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