Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 14

EASY

CAT

IMPORTANT

Earn 100

A GP consists of $1000$ terms. The sum of the terms occupying the odd places is $P_{1}$ and the sum of the terms occupying the even places is $P_{2}$ . Find the common ratio of this GP.

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Important Questions on X+2 Maths

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 15

The harmonic mean of the roots of the equation

(5 + \sqrt{2}) x^{2} - (4 + \sqrt{5}) x + 8 + 2 \sqrt{5} = 0

is

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 16

Let

A, G

, and

H

be the AM, GM, and HM of two positive numbers

a

and

b

. The quadratic equation whose roots are

A

and

H

is:

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 17

If the roots of

x^{3} - 12 x^{2} + 39 x - 28 = 0

are in AP, then their common difference is

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 18

In an infinite GP, each term is equal to four times the sum of all the terms that follow. Find the common ratio.

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 19

If the terms of one geometric progression are multiplied by the corresponding terms of another geometric progression, the sequence obtained will be in:

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 20

In a network system, each person has to include four more persons under him and such a chain should continue. The person at any level would get

₹ 1

commission per person below him in his group. If a person earns

₹ 84

, find the number of persons under him, in his group earning zero amount.

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 21

If the

n

th term of AP is

p

and the

m

th term of the same AP is

q

, then find

(m + n)

th term of AP.

EASY

CAT

IMPORTANT

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

Two sequences of numbers

{1, 4, 16, 64 \dots}

and

{3, 12, 48, 192, \dots}

are mixed as follows:

{1, 3, 4, 12, 16, 48, 64, 192, \dots}

. One of the numbers in the mixed series is

10, 48, 576

. Then, the number immediately preceding it is: