Here we have shared some questions and answers of the Number System chapter. You can note down them in your notebook:

**Q1. In a two-digit number, the digit at the unit’s place is 1 less than twice the digit at the ten’s place. If the digits at unit’s and ten’s place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number is**

(a) 23

(b) 35

**(c) 47**

(d) 59

**Q2. The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator. Find the fraction.**

**(a) 3/7**

(b) 4/8

(c) 2/7

(d) 3/8

**Q3. The denominator of a fraction is 3 more than its numerator. If the numerator is increased by 7 and the denominator is decreased by 2, we obtain 2. The sum of the numerator and denominator of the fraction is**

(a) 5

**(b) 13**

(c) 17

(d) 19

**Q4. 47 is added to the product of 71 and an unknown number. The new number is divisible by 7 giving the quotient 98. The unknown number is a multiple of**

(a) 2

(b) 5

(c) 7

**(d) 3**

**Q5. A fraction becomes 1/3 when 1 is subtracted from both the numerator and the denominator. The same fraction becomes 1/2 when 1 is added to both the numerator and the denominator. The sum of the numerator and denominator of the fraction is**

**(a) 10**

(b) 18

(c) 7

(d) 16

**Q6. A number whose one-fifth part increased by 4 is equal to its one-fourth part diminished by 10, is**

(a) 260

**(b) 280**

(c) 240

(d) 270

**Q7. A girl was asked to multiply a number by 7/8, instead, she divided the number by 7/8 and got the result 15 more than the correct result. The sum of the digits of the number was**

(a) 4

(b) 8

(c) 6

**(d) 11**

**Q8. The product of two numbers is 120 and the sum of their squares is 289. The sum of the two numbers is**

(a) 23

(b) 7

(c) 13

(d) 169

**Q9. A student was asked to multiply a number by 3/2 but he divided that number by 3/2. His result was 10 less than the correct answer. The number was**

(a) 10

(b) 12

(c) 15

(d) 20

**Q10. The number of three consecutive numbers is 87. The middle number is**

(a) 27

**(b) 29**

(c) 30

(d) 28

**Q11. A man ate 100 grapes in 5 days. Each day, he ate 6 more grapes than those he ate on the earlier day. How many grapes did he eat on the first day?**

**(a) 8**

(b) 12

(c) 54

(d) 76

**Q12. A farmer divides his herd of n cows among his four sons, so that the first son gets one-half that herd, the second son gets one-fourth, the third son gets one-fifth and the fourth son gets 7 cows. The value of n is**

(a) 80

(b) 100

**(c) 140**

(d) 180

**Q13. If the difference between the reciprocal of a positive proper fraction and the fraction itself be 9/20, then the fraction is**

(a) 3/5

(b) 3/10

(c) 4/5

(d) 5/7

**Q14. A tin of oil was 4/5 full. When 6 bottles of oil were taken out and 4 bottles of oil were poured into it, it was 3/4 full. How many bottles of oil can the tin contain?**

(a) 10

(b) 20

(c) 30

(d) 40

**Q15. 1/10 of a rod is colored red, 1/20 orange, 1/30 yellow, 1/40 green, 1/50 blue, 1/60 black, and the rest is violet. If the length of the violent portion of the rod is 12.08 m, then the length of the rod is**

(a) 16 m

(b) 18 m

(c) 20 m

(d) 30 m

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