EASY

CAT

IMPORTANT

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The sum of all terms of the arithmetic progression having ten terms except for the first term, is $99$ , and except for the sixth term, $89$ . Find the third term of the progression if the sum of the first and the fifth term is equal to $10$ .

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Important Questions on Progressions

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 3

Product of the fourth term and the fifth term of an arithmetic progression is

456

. Division of the ninth term by the fourth term of the progression gives quotient as

11

and the remainder as

10

. Find the first term of the progression.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 4

A number of saplings are lying at a place by the side of a straight road. These are to be planted in a straight line at a distance interval of

10

metres between two consecutive saplings. Mithilesh, the country’s greatest forester, can carry only one sapling at a time and has to move back to the original point to get the next sapling. In this manner he covers a total distance of

1.32

kms. How many saplings does he plant in the process if he ends at the starting point?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 5

A geometric progression consists of

500

terms. The sum of the terms occupying the odd places is

P_{1}

and the sum of the terms occupying the even places is

P_{2}

. Find the common ratio.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 6

The sum of the first ten terms of the geometric progression is

S_{1}

and the sum of next ten terms (

11^{t h}

through

20^{t h}

) is

S_{2}

. Find the common ratio.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 7

The first and third terms of an arithmetic progression are equal, respectively, to the first and third term of a geometric progression, and the second term of the AP exceeds the second term of the GP by

0.25

. Calculate the sum of the first five terms of the arithmetic progression if its first term is equal to

2

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 8

\frac{(2 + 4 + 6 + . . . . . . . . 50 terms)}{(1 + 3 + 5 + . . . . . n terms)} = \frac{51}{2}

, then find the value of

n

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 9

{(666 . . . . . . n digits)}^{2} + (888 . . . . . . n digits)

is equal to:

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 10

The interior angles of a polygon are in AP. The smallest angle is

120 °

and the common difference is

5 °

. Find the number of sides of the polygon.

The sum of all terms of the arithmetic progression having ten terms except for the first term, is 99, and except for the sixth term, 89. Find the third term of the progression if the sum of the first and the fifth term is equal to 10.

Important Questions on Progressions

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The sum of all terms of the arithmetic progression having ten terms except for the first term, is $99$ , and except for the sixth term, $89$ . Find the third term of the progression if the sum of the first and the fifth term is equal to $10$ .