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 !!

**In a three digit number the digit in the unit’s place is twice the digit in the ten’s place and 1.5 times the digit in the hundred’s place. If the sum of all the three digits of the number is 13, what is the number?**

A. 356

B. 456

C. 436

D. 626

E. 516Answer –**C. 436**

**Explanation :**

100a + 10b + c

c = 2b –> b = c/2

c = 1.5a —> a = c/1.5

c/1.5 + c/2 + c = 13

6.5c = 39

c = 6, b = 3, a = 4 => 436**In a two digit positive number, the digit at the units place is equal to the square of the digit in ten’s place and the difference between the number and the number obtained by interchanging the digits is 54. What is 40% of the original number?**

A. 15.6

B. 37.2

C. 39.4

D. 24.8

E. None of the AboveAnswer –**A. 15.6**

**Explanation :**

Let the number be 10x + y

And y = x²

10x + y – (10y + x) = 54

9x – 9y = 54

x – y = 6

x²- x + 6 = 0

x = 2, 3

y = 4, 9

So the no is 39

39*40/100 = 15.6**If the positions of the digits of a two digit number are interchanged, the number obtained is smaller than the original number by 27. If the digits of the number are in the ratio of 1:2, what is the original number?**

A. 16

B. 32

C. 63

D. 48

E. Can not be determinedAnswer –**C. 63**

**Explanation :**

original number – 10x + y

(10x + y) – (10y + x) = 27

9(x – y) = 27

x – y = 3

y/x = 1/2

x = 2y

y = 3, x = 6 –>63**A certain number of two digits is three times the sum of its digits. If 45 is added to it, the digits are reversed. The number is _______**

A. 16

B. 72

C. 63

D. 27

E. Can not be determinedAnswer –**D. 27**

**Explanation :**

A certain number of two digits is three times the sum of its digits

only 27 satisfies this condition.

27 + 45 = 72

Therefore Ans is – 27**The number obtained by interchanging the two digits of a two digit number is less than the original number by 27. If the difference between the two digits of the number is 3, then what is the original number?**

A. 64

B. 72

C. 65

D. 73

E. None of the AboveAnswer –**E. None of the Above**

**Explanation :**

original number – 10x + y

(10x + y) – (10y + x) = 27

9(x – y) = 27

x – y = 3

All the given options not follow the condition.**Two numbers such that the sum of twice the first number and thrice the second number is 100 and the sum of thrice the first number and twice the second number is 120. Which is larger number?**

A. 64

B. 72

C. 65

D. 32

E. None of the AboveAnswer –**D. 32**

**Explanation :**

2x + 3y = 100 –(i)

3x + 2y = 120 –(ii)

By Solving eqn (i) and (ii)

x = 32, y = 12**The sum of two even numbers is six more than twice of the smaller number. If the difference between these two numbers is 6, If the larger number lies between 15 to 25 Which is the smaller number?**

A. 16

B. 6

C. 24

D. 12

E. Can not be determinedAnswer –**D. 12**

**Explanation :**

If 12 is smaller number then larger number is 18

Sum =(12+18)=30

Twice of the smaller number = 24.

The sum of two even numbers is six more than twice of the smaller number. Therefore Number 12 satisfy both the conditions.**A number is divided by 2, 3, 4, 5 or 6, reminder in each case is one. But the number is exactly divisible by 7. The number lies between 250 and 350, the sum of digits of the number will be**

A. 4

B. 7

C. 6

D. 10

E. Can not be determinedAnswer –**A. 4**

**Explanation :**

LCM of 2, 3, 4, 5 and 6 is 60

60 * 5 + 1 = 7x

7x = 301

Number – 301 ; The sum of digits of the number = 4**Sum of three consecutive odd numbers & three consecutive even numbers together is 231. Difference between the smallest odd number and the smallest even number is 11. What is the sum of the largest even number and largest odd number?**

A. 71

B. 91

C. 101

D. 81

E. Can not be determinedAnswer –**D. 81**

**Explanation :**

odd numbers – x-2, x, x+2 ; even numbers – y-2, y, y+2

3x + 3y = 231

x + y = 77

(y – 2) – (x – 2) = 11

y – x = 11

x = 33, y = 44

sum of the largest even number and odd number = 46 + 35 = 81**Sum of eight consecutive odd numbers is 656. Average of four consecutive even numbers is 87. What is the sum of the largest even number and largest odd number?**

A. 171

B. 191

C. 101

D. 181

E. 179Answer –**E. 179**

**Explanation :**

odd numbers — x-8, x-6, x-4, x-2, x, x+2, x+4, x+6

x-8 + x-6 + x-4 + x-2 + x + x+2 + x+4 + x+6 = 656

8x – 8 =656

x = 83

Even numbers — y-2, y, y+2, y+4

4y + 4 = 87 * 4

y = 86

sum of the largest even number and odd number = 89 + 90 = 179

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