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 : 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

The correct answers to the above question in:

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.

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

Discuss Form

Valid first name is required.
Please enter a valid email address.
Your genuine comment will be useful for all users! Each and every comment will be uploaded to the question after approval.

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

Question : 1

Each member of a picnic party contributed twice as many rupees as the total number of members and the total collection was 3042. The number of members present in the party was

a) 32

b) 2

c) 39

d) 40

Answer: (c)

Let the required number of persons be x.

According to the question, $2x^2$ = $3042$

or $x^2$ = $3042/2$ = 1521

or x = $√{1521}$ = 39

Question : 2

When a number is divided by 893, the remainder is 193. What will be the remainder when it is divided by 47 ?

a) 5

b) 3

c) 33

d) 25

Answer: (a)

Here, 893 is exactly divisible by 47.

Hence, the required remainder is obtained on dividing 193 by 47.

∴ Remainder = 5

Question : 3

A number, when divided by 221, leaves a remainder 64. What is the remainder if the same number is divided by 13 ?

a) 1

b) 0

c) 12

d) 11

Answer: (c)

Here, the first divisor (221) is a multiple of second divisor (13)

Hence, required remainder = remainder obtained on dividing 64 by 13 = 12

Question : 4

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 : 5

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 : 6

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

a) 59

b) 13

c) 61

d) 60

Answer: (c)

Sum of first 60 numbers

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

The number 1830 is divisible by 61.

Recently Added Subject & Categories For All Competitive Exams

100+ Quadratic Equation Questions Answers PDF for Bank

Quadratic Equation multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams

03-Jul-2024 by Careericons

Continue Reading »

IBPS Aptitude Linear Equations MCQ Questions Answers PDF

Linear equations multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams

03-Jul-2024 by Careericons

Continue Reading »

New 100+ Compound Interest MCQ with Answers PDF for IBPS

Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams

02-Jul-2024 by Careericons

Continue Reading »

100+ Mixture and Alligation MCQ Questions PDF for IBPS

Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams

02-Jul-2024 by Careericons

Continue Reading »