Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 22

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CAT

IMPORTANT

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If a year has $360$ days and all the months with $30$ days. What is the probability that your birthday falls on a Monday and that is an even day of an even month, given that January $1$ is a Monday?

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Important Questions on X+2 Maths

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IMPORTANT

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

If

4

whole numbers are taken at random, and multiplied together, then the probability that the last digit in the product is

1, 3, 7

or

9

will be:

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IMPORTANT

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

There are

500

students in an examination.

150

students passed the first paper,

350

students passed the second paper and

50

students passed both the papers. Find the probability that a student selected at random has failed in both the papers.

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

A person is asked to randomly pick two balls from a bag which has

15

yellow and

5

red balls. The probability that the person picks two balls of the same colour is:

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Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 1

If the integers

m

and

n

are chosen at random between

1

and

100

, then the probability that a number of the form

7^{m} + 7^{n}

is divisible by

5

is:

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IMPORTANT

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

If the probability of

A

to fail in an examination is

\frac{1}{5}

and that of

B

is

\frac{3}{10}

. Then, the probability that either

A

or

B

fails is

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IMPORTANT

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

India play two matches each with West Indies and Australia. In any match the probabilities of India getting

0, 1

and

2

points are

0.45, 0.05

and

0.50

respectively. Assuming that the outcomes are independent, the probability of India getting at least

7

points is

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Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 4

Let

A

and

B

be two independent events such that

P (A) = \frac{1}{5}, P (A \cup B) = \frac{7}{10} .

Then,

P (\bar{B})

is equal to

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CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 5

Let

A

and

B

be two independent events in such a way that their probabilities are

\frac{3}{10}

and

\frac{2}{5}

, respectively. The probability of exactly one of the events happening is: