model 2 divisibility, multiples, add and subtract based number system Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 6 EXERCISES

Top 10,000+ Aptitude Memory Based Exercises

The following question based on number system topic of quantitative aptitude

Questions : The sum of first sixty numbers from one to sixty is divisible by

(a) 59

(b) 13

(c) 61

(d) 60

The correct answers to the above question in:

Answer: (c)

Sum of first 60 numbers

= ${60(60+ 1)}/2$ = ${60× 61}/2$ = 1830

The number 1830 is divisible by 61.

Practice number system (model 2 divisibility, multiples, add and subtract based number system) Online Quiz

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Read more divide multiple add subtract Based Quantitative Aptitude Questions and Answers

Question : 1

Two numbers, when divided by 17, leave remainders 13 and 11 respectively. If the sum of those two numbers is divided by 17, the remainder will be

a) 11

b) 13

c) 4

d) 7

Answer: (d)

First number (X) = 17x + 13

Second number (Y) = 17y + 11

∴${X + Y}/17$ = ${17(x + y)}/17 + {13 + 11}/17$

∴Required remainder = Remainder obtained on dividing

11 + 13

i.e. 24 by 17 = 7

Question : 2

When a number is divided by 24, the remainder is 16. The remainder when the same number is divided by 12 is

a) 4

b) 3

c) 8

d) 6

Answer: (a)

Required remainder = 16 – 12 = 4

(because 24 is a multiple of 12.)

Question : 3

A number consists of two digits. If the number formed by interchanging the digits is added to the original number, the resulting number (i.e. the sum) must be divisible by

a) 9

b) 11

c) 3

d) 5

Answer: (b)

Let the number be 10x + y

After interchanging the digits, the number obtained = 10y + x

According to the question,

Resulting number

= 10x + y + 10y + x

= 11x + 11y

= 11 (x + y) which is exactly divisible by 11.

Question : 4

Which of the following number is NOT divisible by 18 ?

a) 50436

b) 54036

c) 65043

d) 34056

Answer: (c)

A number will be exactly divisible by 18 if it is divisible by 2 and 9 both. Clearly 65043 is not divisible by 2.

∴ Required number = 65043

Question : 5

The smallest number to be added to 1000, so that 45 divides the sum exactly, is :

a) 80

b) 35

c) 10

d) 20

Answer: (b)

1000 = (45 × 22) + 10

∴ 45 – 10 = 35 to be added.

So, the smallest number to be added to 1000 to make the sum exactly divisible by 45 is 35.

Question : 6

In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, then the dividend is

a) 4306

b) 4236

c) 5336

d) 4336

Answer: (c)

Divisor = 5 × Remainder = 5 × 46 = 230

Quotient = $230/10$ = 23

∴ Dividend = Divisor × Quotient + Remainder

= 230 × 23 + 46

= 5290 + 46 = 5336

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