How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 31

MEDIUM

CAT

IMPORTANT

Earn 100

The sum of the first $n$ terms of the arithmetic progression is equal to half the sum of the next $n$ terms of the same progression. Find the ratio of the sum of the first $3 n$ terms of the progression to the sum of its first $n$ terms.

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Important Questions on Progressions

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 32

In a certain colony of cancerous cells, each cell breaks into two new cells every hour. If there is a single productive cell at the start and this process continues for

9

hours, how many cells will the colony have at the end of

9

hours? It is known that the life of an individual cell is

20

hours.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 33

Find the sum of all three-digit whole numbers less than

500

that leave a remainder of

2

when they are divided by

3

.

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 34

If

a

be the arithmetic mean and

b, c

be the two geometric means between any two positive numbers, then

\frac{(b^{3} + c^{3})}{a b c}

equals

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 35

If

p, q, r

are three consecutive distinct natural numbers then the expression

(q + r - p) (p + r - q) (p + q - r)

is :

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 36

If

S = [1 + (- \frac{1}{3})] [1 + {(- \frac{1}{3})}^{2}] [1 + {(- \frac{1}{3})}^{4}] [1 + {(- \frac{1}{3})}^{8}] . . . . .

till

n

terms. Then

S =

?

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 37

The number

7777 . . . . . . 77

(total

133

digits) is:

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 38

1^{s t}

term of an A.P. of consecutive integers is

n^{2} + 1

(

n

is a positive integer). Sum of

1^{s t} 2 n

terms of the series will be.

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 39

S = \frac{1}{1! + 2!} + \frac{1}{2! + 3!} + \frac{1}{3! + 4!} + . . . . . + \frac{1}{19! + 20!}

Then

S =

?