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

EASY

CAT

IMPORTANT

Earn 100

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:

50% studentsanswered this correctly

Important Questions on X+2 Maths

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:

EASY

CAT

IMPORTANT

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

For each positive integer

n

, consider the set

S_{n}

defined as follows:

S_{1} = {1}, S_{2} = {2, 3}, S_{3} = {4, 5, 6} \dots

, and in general,

S_{n + 1}

consists of

n + 1

consecutive integers the smallest of which is one more than the largest integer in

S_{n}

. Then, the sum of all the integers in

S_{21}

equals.

EASY

CAT

IMPORTANT

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

If

a_{1}, a_{2}, a_{3}, a_{4}, \dots, a_{24}

are in an arithmetic progression and

a_{1} + a_{5} + a_{10} + a_{20} + a_{24} = 225

, then find the sum of the series

a_{1} + a_{2} + a_{2} + \dots + a_{2} + a_{2}

.