## Number System problems with solutions for IBPS Exam

# Number System problems with solutions for IBPS Exam and SSC Exam

**9** If 1 is added to the denominator of a fraction it becomes ½. If 1 is added to the numerator it becomes 1. The product of numerator and denominator of the fraction is.

- 6
- 10
- 12
- 14
**ssc cgl prelim exam, 24/02/2002**

**Answer a) 6**

**Solution** let the fraction be x/y

If 1 is added to the denominator the fraction becomes ½

x/y + 1= 1/2

2x = y + 1 (1)

If 1 is added to the numerator the fraction becomes 1

x + 1/y = 1

y + 1 = y (2)

From (1) and (2), we get

2x = x +1 +1

x = 2

Put this value in (2)

y = 3

The fraction is 2/3

The product of numerator and denominator 2×3 = 6

## Number System problems with solutions for SSC Exam

**10** The sum of digits of a two digit number is 12. The difference of the original number and the number obtained by interchanging the digits is 18. Find the number

- 84 2. 66 3. 75 4. 93

**Answer c) 75**

**Solution** let the unit’s place digit be x

And ten’s place digit be y

Then the number is 10 y + x

And the number obtained by interchanging the digits = 10 x + y

The sum of digits is 12

x + y = 12 (1)

The difference of the original number and the number obtained by interchanging the digits is 18

10y + x – 10x – y = 18

9y – 9x = 18

y – x = 2 (2)

Adding (1) and (2), we get

2y = 14

y = 7

x = 5

The number is 75

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** Practice Sets**

**Q1. **The cost of 8 dozen of eggs is Rs. 256. Which calculation is needed to find the cost of 9 eggs ?

- (9×256) × (8 ÷ 12)
- (12×256) ÷ (8 × 9)
- (8×256) ÷ (9×12)
- (9×256) × (8×12)
- (9×256) ÷ (8×12)

**Q2. **By how much is 6/11th of 506 lesser than 3/5th of 895 ?

178 b. 219 c. 143 d. 261 e. None of these

**Q3. **The sum of two numbers is 45 and their product is 500. Their HCF is

5 b. 9 c. 10 d. 15

**Q4. **Find the maximum number of girls, among whom 2923 bags and 3239 eyeliners can be distributed in such a way that each girl gets the same number of bags and eyeliners.

- 80 b. 79 c. 78 d. 81

### Number System Question asked in Bank Exam

**Q5. **The denominators of two fractions are 5 and 7 respectively. The sum of these fractions is 41/35. On interchanging the numerators , their sum becomes 43/35. The fractions are

- 2/5 and 4/7 b. 3/5 and 4/7 c. 4/5 and 2/7 d. 3/5 and 5/7 e. None of these

**Q6. **A number when divided by 902 leaves a remainder 842. If the same number is divided by 41, the remainders will be

- 21 b. 15 c. 14 d. 22 e. None of these

**Q7. **Find the unit digit of 7^26

- 9 b. 7 c.3 d. 1 e. None of these

**Q8. **A number is tripled and 14 is subtracted from it. If further resultant is doubled and 7 is added it becomes 21. What is that number

a. 4 b. 12 c. 4.3 d. 7

**this question asked by SSC CGL Exam in 2011**

**Q9.**Find the greatest number which divides 285 and 160 leaves remainder 5 and 6 respectively

a. 15 b. 16 c. 14 d. 28

**Q10. **The HCF of two numbers is 19 and the sum of two numbers is 209. How many such pairs are

a. 2 b. 4 c. 5 d. 1 e . none of these

**Q11. **The ratio of HCF and LCM is 1:6 and their difference is 500. if one number is 200, find the other

a. 600 b. 300 c. 450 d. 500

**Q12. **Which of the following numbers is exactly divisible by 15

a.1234565 b. 1234560 c. 12345655 d. 123455 e. None of these

**Q13. **Sum of two numbers is equal to sum of square of 11 and cube of 9. Larger number is 52 less than square of 2/5. What is the value of the sum of twice of 24 percent of the smaller number and half of the larger number ?

- 415 b. 400 c. 410 d. 425 e. None of these

**Q14. **The sum of the two digits of a two digit number is 12 and the difference between the two digits of the two digit number is 6. What is the two digit number ?

- 39 b. 84 c. 93 d. Cannot be determined e. None of these

**Q15. **Find the missing digit of the number 378 _ 42100, if the number is completely divided by by 300

a. 1 b. 2 c. 3 d. 4

**Q16. **If 1 is added to the numerator and 1 is subtracted from the denominator, the fraction becomes 1. If 2 is subtracted from the numerator and 3 is added to the denominator, the fraction becomes 1/2. what is the fraction ?

- 9/11 b. 7/11 c. 5/11 d. 7/5 e. None of these

**Q17. **The difference of the digits of a two digit number is 2 and the sum of its digit is 6. The number is 7/4 times of the number obtained by interchanging the digits of original number . what is the original number ?

- 24 b. 15 c. 42 d. 60 e. None of these

**Q18. **The product of the age of Harish and Seema is 240. If twice the age of Seema is more than Harish’s age by 4 years, what is Seema,s age in years ?

- 12 b. 20 c. 10 d. 14 e. none of these

**Q19. **Which of the following numbers is larger

- 8
^{32}b. 32^{16}c. 4^{49}d. 2^{80}e. None of these

**Q20. **The difference of the squares of two numbers is 225. sum of two numbers is

- 40 b. 45 c. 50 d. 52 e. None of these

**Q21. **Find the remainder when 13^{12} divided by 7

- 1 b. 2 c. 3 d. 4 e. 5

**Q22. **Ravi bought equal number of Rs. 45, Rs. 75 and Rs. 95 valued tickets for a classical music show. He spent a sum of Rs. 3870 for all the tickets. How many of each kind of tickets did he buy ?

- 18 b. 19 c. 17 d. 20 e. None of these

**Q23. **Father’s age is 30 years more than the son’s age. Ten years hence, the father’s age will become three times the son’s age that time. What is son’s present age ( in years) ?

- 8 b. 7 c. 5 d. Cannot be determined e.None of these

**Q24. **Let x be an odd natural number. If x is divided by 6, it leaves a remainder y. If y^{2} is divided by 4, it leaves remainder of z. Which of the following must be true for z ?

- Z = 3 b. Z = 5 c. z = 1 d. Z is even

**Q25.** 4/15 of 5/7 of a number is greater than 4/9 of 2/5 of the same number by 8. What is half of that number ?

- 630 b. 315 c. 210 d. 105 e. None of these

** Answers key**

1.5 | 6.4 | 11. 2 | 16. 1 | 21. 1 | ||

2. 4 | 7. 1 | 12. 2 | 17. 3 | 22. 1 | ||

3. 1 | 8. 4 | 13. 5 | 18. 1 | 23. 3 | ||

4. 2 | 9. 4 | 14. 4 | 19. 3 | 24. 3 | ||

5. 2 | 10 3 | 15. 2 | 20. 2 | 25. 2 |

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