Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 23

MEDIUM

CAT

IMPORTANT

Earn 100

The number of ways of painting the faces of a cube of six different colours is

50% studentsanswered this correctly

Important Questions on X+2 Maths

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 24

Find the number of non-negative integer solutions to the system of equations

a + b + c + d + e = 20

and

a + b + c = 5

.

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 25

If the number of ways of selecting

k

coupons out of an unlimited number of coupons bearing the letters

A, T

, and

C

so that they cannot be used to spell the word

CAT

is

93

, then what is the value of

k

?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 26

In a test of

10

multiple choice questions of one correct answer, each having

4

alternative answers, then the number of ways to put ticks at random for the answers to all the questions is:

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 27

The streets of a city are arranged like the lines of a chessboard. There are

m

streets running north-south and

n

streets running in east-west direction. What is the number of ways in which a man can travel on these streets from the north-west to the south-east corner, going by the shortest possible distance?

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 28

Let,

{(1 + x + x^{2})}^{9} = α_{0} + α_{1} x + \dots + α_{18} x^{18}

, then which of the following is true?

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 29

If

N

be an element of the set

A = {1, 2, 3, 5, 6, 10, 15, 30}

, and

P, Q

and

R

are integers, such that

PQR = N

, then the number of positive integral solutions of

PQR = N

is:

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 30

In how many ways can one arrange letters the in the word 'INSTITUTION' such that no two same letters comes together along with the following conditions:

(A) There is no ' $T$ ' which is immediately preceded as well as followed by ' $N$ '.

(B) There is no ' $T$ ' which is immediately preceded as well as followed by ' $T$ '.

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 31

How many positive integers less than

1000

are

6

times the sum of their digits?