Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 22

EASY

CAT

IMPORTANT

Earn 100

A three-digit number in which all the three-digit numbers are odd is such that if the cubes of the digit are added, the sum would be equal to the number itself. If one of the digits is $7$ , find the number.

50% studentsanswered this correctly

Important Questions on Numbers and Their Properties

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 23

A teacher said that there were

100

students in his class,

24

of whom were boys and

32

were girls. Which base system did the teacher use in this statement?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 24

What is the remainder when

3^{450}

is divided by

108

?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 25

P is a natural number.

2 P

has

28

divisors and

3 P

has

30

divisors. How many divisors of

6 P

will be there?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 26

pqr is a three-digit natural number such that

pqr = p^{3} + q^{3} + r^{3} .

What is the value of r?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 27

There are two three-digit numbers. When one number is divided by another number, quotient obtained is

6

and remainder is

0

. The sum total of both the numbers is a multiple of

504

. What is the difference between the numbers?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 28

LCM of

12^{24}, 16^{18}

and

N

is

24^{24} .

Number of all the possible values of

N = S .

What is the value of

S ?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 29

Each of P, Q, R, and S equals either

0

or

1

. It is given that

If $Q = 0$ , then $R = 1$ ;

If $R = 0$ , then $P = S$ ;

If $S = 0$ , then $P = 1$ ;

Let us assume that

R = 0

, find the value of

(P + Q + R + S)

?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 30

When asked about his date of birth in

1996

, Mayank replied that 'last two digits of my birth year stands for my age.' When Siddharth was asked about his age, he also replied the same. However, Siddharth is older to Mayank. What is the difference in their age?