Hello Aspirants. Welcome to Online Quantitative Aptitude Section with explanation in AffairsCloud.com. Here we are creating question sample in **Number System**, which is common for all the competitive exams. We have included Some questions that are repeatedly asked in bank exams !!

Questions Penned by Yogit

**The sum of the digits of a two-digit number is 6. If the digits are reversed, the number is decreased by 36. Find the number?**

a) 15

b) 51

c) 24

d) 42

e) None of these

Answer –**b) 51****Explanation :**

a + b = 6

(10a + b) – (10b +a) = 36, a – b = 4

We get a = 5 and b = 1

So number is 51

**If the places of last two-digits of a three digit number are interchanged, a new number greater than the original number by 36 is obtained. What is the difference between the last two digits of that number?**

a) 2

b) 3

c) 4

d) 7

e) None of these

Answer –**c) 4**

**Explanation :**

let the number be 100a + 10b + c

(100a + 10b +c) – (100a + 10c +b) = 36

b – c = 4

**A number when divided by 837 leaves a remainder of 79. What will be the remainder when the same number is divided by 31?**

a) 11

b) 13

c) 15

d) 17

e) None of these

Answer –**d) 17**

**Explanation :**

Number = 837*a + 79

when this number is divided by 31, it leaves remainder of 17 (837 is completely divisible)

**The numerator of a rational number is 4 less than the denominator. If the numerator is increased by 15 and denominator is decreased by 4, we get 6. Find the rational number?**

a) 1/5

b) 2/7

c) 3/7

d) 5/9

e) None of these

Answer –**c) 3/7**

**Explanation :**

let the fraction is (p-4)/p

now, (p -4 + 15)/(p-4) = 6

we get p = 7

so fraction = 3/7

**When a number is added to 20 percent of the second number, we get 150 percent of the second number. Find the ratio between the first and second number?**

a) 13:9

b) 12:10

c) 13:10

d) 17:10

e) None of these

Answer –**c) 13:10**

**Explanation :**

a + (20/100)*b = (150/100)*b

a:b = 13:10

**Two different numbers when divided by same divisor leaves remainder 7 and 9 respectively. When their sum is divided by the same divisor remainder was 4. Find the divisor?**

a) 11

b) 12

c) 13

d) 14

e) None of these

Answer –**b) 12**

**Explanation :**

Let first number N1 = D*a + 7

and second number N2 = D*b + 9

N1 + N2 = (a+b)*D + 16

Remainder is 4, so D will be 12

**A number gets reduced to its two-third when 24 is subtracted from it. Find one-eighth of the number?**

a) 7

b) 8

c) 9

d) 10

e) None of these

Answer –**c) 9**

**Explanation :**

a – 24 = 2a/3

we get a = 72

so one-eighth of the number = 72/8 = 9

**Three numbers are in the ratio 4:3:5. If the difference between thrice the third number and the sum of first and second number is 64. Find the difference between the first and third number?**

a) 4

b) 8

c) 12

d) 16

e) None of these

Answer –**b) 8**

**Explanation :**

15x – (7x) = 64, we get x = 8

difference between first and third number = 5x – 4x = x = 8

**One-fifth of a number when subtracted from one – third of the number gives 24. Find the square of the number.**

a) 32400

b) 28900

c) 14400

d) 36100

e) None of these

Answer –**a) 32400**

**Explanation :**

a/3 – a/5 = 24

a = 180, so square = 32400

**25% of a number is 2 times 65% of another number. Find the ratio of the second no to the first number?**

a) 13:5

b) 5:26

c) 7:13

d) 26:5

e) None of these

Answer –**b) 5:26**

**Explanation :**

(25/100)*a = 2*(65/100)*b

b:a = 5:26

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