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

MEDIUM

CAT

IMPORTANT

Earn 100

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:

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 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?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 32

Six 'X's have to be placed in the square of the figure such that each row contains at least one X. In how many different ways can this be done

Question Image

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 33

Number of ways in which

n

distinct things can be distributed among

n

persons so that at least one person does not get anything is

232

. Find

n

.

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 34

Six persons

A, B, C, D, E,

and

F

are to be seated at a circular table. In how many ways can this be done if

A

must always have either

B

or

C

on his immediate right and

B

must always have either

C

or

D

on his immediate right?