## Number system questions for SSC CGL Set 1

Solve the 10 selected number system questions for SSC CGL Set 1 in 12 mins. Know your performance from answers. Learn to solve the questions from solutions.

The 10 questions are of different types and include problems on Unit digit, Indices, perfect square, place value mechanism, LCM, Factors and multiples and Euclid's division lemma. As you can see, the problems are on a wide variety of subtopics.

For best results, try to complete the test in 12 minutes' of scheduled time. After taking the test, score your performance with 1 mark for every correct answer and minus 0.25 for each one wrong.

And lastly, learn how to solve the questions quickly from the solutions.

The **answers and the link to the solution set** are at the end.

### 10 problems of Number system questions for SSC CGL - time to solve 12 mins

**Q1.** If $3^{4x}\times{9^{6x}} = 81^8$, $x=?$,

- 2
- 3
- 4
- 8

**Q2.** Which one of the following is a perfect square as well as a cube?

- 81
- 125
- 343
- 64

**Q3.** If the digits of a two digit number are interchanged in position, the absolute value of the difference of the two numbers would be always divisible by,

- 5
- 7
- 9
- 11

**Q4.** If two bells chime at intervals of 4 mins and 15 mins, after how long would they chime together first if they had chimed together in the beginning?

- 26 mins
- 52 mins
- 1 hour 18 minutes
- 1 hour

**Q5.** How many numbers from 20 to 50 have no number from 2 to 10 as factors?

- 0
- 14
- 7
- 4

**Q6.** $\displaystyle\frac{256\times{256} - 144\times{144}}{112}$ is,

- 420
- 400
- 360
- 360

** Q7.** If the digits in the unit's and ten's places of a three digit number are interchanged, the new number formed is found to be larger than the original by 63. All possible values that the unit's digit of the original number can take are,

- 7, 8, 9
- 2, 7, 9
- 0, 1, 2
- 1, 2, 8

** Q8.** The sum of all the three digit numbers, each of which on division by 5 leaves a remainder 3 is,

- 180
- 1550
- 6995
- 99090

**Q9.** Unit's digit in $264^{102} + 264^{103}$ is,

- 0
- 4
- 6
- 8

** Q10.** Unit's digit of $2137^{754}$ is,

- 1
- 3
- 7
- 9

Know how to solve the questions correctly and with speed from the detailed solution set at,

**SSC CGL level Solution Set 3 on Arithmetic Number system.**

### Answers to the 10 questions on Number system for SSC CGL Set 1

**Problem 1. Answer:** Option a: 2.

**Problem 2. Answer:** Option d : 64.

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

**Problem 4. Answer:** Option d: 1 hour.

**Problem 5. Answer:** Option c: 7.

**Problem 6. Answer:** Option b : 400.

**Problem 7. Answer:** Option a: 7, 8, 9.

**Problem 8. Answer:** Option d: 99090.

**Problem 9. Answer:** Option a: 0.

**Problem 10. Answer:** Option d: 9.

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