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

EASY

CAT

IMPORTANT

Earn 100

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.

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Important Questions on X+2 Maths

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}

.

EASY

CAT

IMPORTANT

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

Find the sum of the

37

th bracket of the following series.

(1) + (7 + 7^{2} + 7^{3}) + (7^{4} + 7^{5} + 7^{6} + 7^{7} + 7^{8}) + (7^{9} +

7^{10} + \dots + 7^{15}) \dots

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 27

If

a, b

, and

c

are positive integers, then find the product of

(a + b) (b + c) (c + a)

.

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 28

The sum the of '

n

th' terms of two different arithmetic progression is zero. The sum of a certain number of terms (beginning with the first) of one of the progression is 386 . What is the sum of the same number of terms (from the beginning) of the second progression?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 29

An infinite GP has the first term '

X

' and sum ' 5 ', then

X

belongs to: