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CAT

IMPORTANT

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The probability that a man will live $10$ more years is $\frac{1}{4}$ and the probability that his wife will live $10$ more years is $\frac{1}{3}$ . Then the probability that neither of the two will be alive in $10$ years is,

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Important Questions on X+2 Maths

MEDIUM

CAT

IMPORTANT

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

The probability of a bomb hitting a bridge is

\frac{1}{2}

and two direct hits are needed to destroy it. The least number of bombs required so that the probability of the bridge being destroyed is greater than

0.9,

EASY

CAT

IMPORTANT

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

A dice is rolled twice. What is the probability that the number in the second roll will be higher than that in the first?

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CAT

IMPORTANT

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

Ramesh plans to order a birthday gift for his friend from an online retailer. However, the birthday coincides with the festival season during which there is a huge demand for buying online goods, and hence deliveries are often delayed. He estimates that the probability of receiving the gift, in time, from the retailers A, B, C and D would be

0.6, 0.8, 0.9

and

0.5

respectively. Playing safe, he orders from all four retailers simultaneously. What would be the probability that his friend would receive the gift in time?

EASY

CAT

IMPORTANT

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

The internal evaluation for Economic course in an Engineering programme is based on the score of four quizzes. Rahul has secured

70, 80

and

90

marks in the first three quizzes. The fourth quiz has ten Truefalse type questions carrying

10

marks. What is the probability that Rahul's average internal marks for the Economic course is more than

80

, given that he decides to guess randomly on the final quiz?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Benchmarking Test 3>Q 2

In a college of

300

students, every student reads

5

newspapers and every newspaper is read by

60

students. The number of newspapers is

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Benchmarking Test 3>Q 22

Let

p

and

q

be roots of the equation

x^{2} - 2 x + A = 0

and let

r

and

s

be the roots of the equation

x^{2} - 18 x + B = 0 .

p < q < r < s

are in arithmetic progression, then the values of

A

and

B

are

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Benchmarking Test 3>Q 24

n

-digit number is a positive number with exactly

n

digits. Nine hundred distinct

n

-digit numbers are to be formed using only the three digits 2, 5 and 7. The smallest value of

n

for which this is possible, is

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Benchmarking Test 3>Q 25

Let

a_{1}, a_{2}, \dots, a_{10}

be in

AP

and

h_{1}, h_{2}, \dots, h_{10}

be in

HP

. If

a_{1} = h_{1} = 2

and

a_{10} = h_{10} = 3

, then

a_{4} h_{7}

The probability that a man will live 10 more years is 14 and the probability that his wife will live 10 more years is 13. Then the probability that neither of the two will be alive in 10 years is,

Important Questions on X+2 Maths

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The probability that a man will live $10$ more years is $\frac{1}{4}$ and the probability that his wife will live $10$ more years is $\frac{1}{3}$ . Then the probability that neither of the two will be alive in $10$ years is,