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

EASY

CAT

IMPORTANT

Earn 100

If the sum of the $10^{th}, 20 {th}^{}$ , and $30^{th}$ terms of an AP is equal to the $58^{th}$ term, what is the ratio of the sum of the $10^{th}, 20^{th}$ , and 30th terms to the sum of the $5^{th}, 10^{th}$ and $15^{th}$ terms; when the common difference $\neq 0$ ?

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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 3

Corresponding terms of two arithmetic progressions (AP) are multiplied. As a result, we obtain the following sequence

1440, 1716, 1848, \dots

. What is the 8 th term of this sequence?

EASY

CAT

IMPORTANT

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

If

a, b, c

, and

d

are non-zero real numbers such that

(a^{2} + b^{2} + c^{2}) (b^{2} + c^{2} + d^{2}) \leq (ab + bc + cd)^{2}

, then

a, b, c

, and

d

are in:

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CAT

IMPORTANT

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

If

\log (\frac{5 c}{a}), \log (\frac{3 b}{5 c}) & log (\frac{a}{3 b})

are in

AP

, where

a, b, c

are in

GP

, then

a, b, c

are the lengths of the sides of

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 6

The coefficient of

x^{15}

in the product

(1 - x) (1 - 2 x) (1 - 2^{2} x) (1 - 2^{3} x) \dots (1 - 2^{15} x)

is

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CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 7

The coefficient of

x^{49}

in the product

(x - 1) (x - 3)

\dots (x - 99)

is:

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CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 8

The

A M

of two given positive numbers is

2

. If the larger number is increased by

1

, the

G M

of the numbers becomes equal to the

A M

of the given numbers. Then the

H M

of the given numbers is

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 9

Let

a

and

b

be two positive numbers, where

a > b

and

4 \times GM = 5 \times HM

for the numbers. Then,

a

is:

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 10

The sequence

[x_{n}]

is a G.P. with

\frac{x_{2}}{x_{4}} = \frac{1}{4}

and

x_{1} + x_{4} = 108

. What will be the value of

x_{3}

?