Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 13

EASY

CAT

IMPORTANT

Earn 100

If the sum of the reciprocals of the first seven terms of a harmonic progression is $70$ , find the fourth term of the $HP$ .

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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 14

If the

m^{th}

term of a

HP

is

n

and the

n^{th}

term is

m

, what is the value of the

(m + n) th

term?

EASY

CAT

IMPORTANT

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

If

\frac{(x^{n + 1} + y^{n + 1})}{(x^{n} + y^{n})}

is the harmonic mean of

x

and

y

, find the value of

n

EASY

CAT

IMPORTANT

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

A series is simultaneously in an

AP

and a

HP

. Which of the following is true?

EASY

CAT

IMPORTANT

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

A series is simultaneously in an

AP

and a

HP

. Which of the following is true?

EASY

CAT

IMPORTANT

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

Find the sum of all the numbers divisible by

6

in between

100

to

400

.

EASY

CAT

IMPORTANT

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

Let

t_{r}

denote the

r^{th}

term of an AP. If

t_{m} = \frac{1}{n}

and

t_{n} = \frac{1}{m}

, then

t_{mn}

equals:

HARD

CAT

IMPORTANT

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

Let

x, y, z

be three positive prime numbers. The progression in which

\sqrt{x}, \sqrt{y}, \sqrt{z}

can be three terms (not necessarily consecutive) is

EASY

CAT

IMPORTANT

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

Let

f (x) = 2 x + 1

. Then, the number of real values of

x

for which the three unequal numbers

f (x), f (2 x)

, and

f (4 x)

are in a GP is: