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CAT 2025 Lesson : Progressions - Past Questions

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6. Past Questions

Question 1

What is the value of the following expression?
1221+1421+1621++12021\dfrac{1}{2^2 - 1} + \dfrac{1}{4^2 - 1} + \dfrac{1}{6^2 - 1} + … + \dfrac{1}{20^2 - 1}
[CAT 2000]

919\dfrac{9}{19}
1019\dfrac{10}{19}
1021\dfrac{10}{21}
1121\dfrac{11}{21}

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} + … equals:
[CAT 2003 Retest]

2714\dfrac{27}{14}
2113\dfrac{21}{13}
4927\dfrac{49}{27}
256147\dfrac{256}{147}

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
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