+91 9600 121 800

Plans

Dashboard

Daily & Speed

Quant

Verbal

DILR

Compete

Free Stuff

calendarBack
Quant

/

Modern Maths

/

Progressions

Progressions

MODULES

bookmarked
AP Concepts
bookmarked
AP Examples
bookmarked
AP Special Types
bookmarked
GP Concepts
bookmarked
GP Special Types
bookmarked
HP Concepts
bookmarked
Special Types I
bookmarked
Special Types II
bookmarked
Past Questions

CONCEPTS & CHEATSHEET

Concept Revision Video

SPEED CONCEPTS

Progressions 1
-/10
Progressions 2
-/10

PRACTICE

Progressions : Level 1
Progressions : Level 2
Progressions : Level 3
ALL MODULES

CAT 2025 Lesson : Progressions - Past Questions

bookmarked

6. Past Questions

Question 1

What is the value of the following expression?
122−1+142−1+162−1+…+1202−1\dfrac{1}{2^2 - 1} + \dfrac{1}{4^2 - 1} + \dfrac{1}{6^2 - 1} + … + \dfrac{1}{20^2 - 1}22−11​+42−11​+62−11​+…+202−11​
[CAT 2000]

919\dfrac{9}{19}199​
1019\dfrac{10}{19}1910​
1021\dfrac{10}{21}2110​
1121\dfrac{11}{21}2111​

Answer: (3) 1021\dfrac{10}{21}2110​

Question 2

The infinite sum 1+47+972+1673+2574+…1 + \dfrac{4}{7} + \dfrac{9}{7^2} + \dfrac{16}{7^3} + \dfrac{25}{7^4} + … 1+74​+729​+7316​+7425​+… equals:
[CAT 2003 Retest]

2714\dfrac{27}{14}1427​
2113\dfrac{21}{13}1321​
4927\dfrac{49}{27}2749​
256147\dfrac{256}{147}147256​

Answer: (3) 4927\dfrac{49}{27}2749​

Question 3

The number of common terms in the two sequences 17, 21, 25, … , 417 and 16, 21, 26, … , 466 is
[CAT 2008]

78
19
20
77
22

Answer: (3) 20
Loading...Loading Video....