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Algebra -3- Sequence and Series || Quantitative Aptitude || CAT 2021 || 05 May (App update required to attempt this test)
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Question 1
Find the average of the following series: 1 × 2 × 3 × 4 + 2 × 3 × 4 × 5 + 3 × 4 × 5 × 6 + … + 11 × 12 × 13 × 14 (TITA)
Question 2
If the terms in the series: 
goes till infinite, what will its 165th term closest to?
goes till infinite, what will its 165th term closest to?Question 3
Find the sum to 81 terms of the series 3 × 8 + 6 × 11 + 9 × 14 +…
Question 4
The 288th term of the series a, b, b, c, c, c, d, d, d, d, e, e, e, e, e, f, f, f, f, f, f... is
Question 5
In the sequence 5, 6, 8, 11, ……., 83, how many terms will be a multiple of 5?
Question 6
For a sequence we are given 
for n being an odd integer greater than 1 and for every even integer value of n greater than 2, 
. If 
&
, what is the value of the 51st term of the sequence?
for n being an odd integer greater than 1 and for every even integer value of n greater than 2, . If &, what is the value of the 51st term of the sequence?Question 7
There are 8436 steel balls, each with a radius of 1 centimetre, stacked in a pile, with 1 ball on top, 3 balls in the second layer, 6 in the third layer, 10 in the fourth, and so on. The number of horizontal layers in the pile is
Question 8
Consider a sequence with nth term, tn = n/(n+2) for n = 1, 2, 3, ..... so on. The value of t3 x t4 x t5 x ……x t53 equals:
Question 9
The price of Darjeeling tea (in rupees per kilogram) is 100 + 0.10n, on the nth day of 2007 (n = 1, 2, 3,…., 100) and then remains constant. On the other hand, the price of OOty tea (in rupees per kilogram) is 89 + 0.15n, on the nth day of 2007 (n = 1, 2,…., 365). On which date in 2007 will be prices of these two varieties of tea be equal?
Question 10
In a coastal village, every year floods destroy exactly half of the huts. After the flood water recedes, twice the number of huts destroyed are rebuilt. The floods occurred consecutively in the last three years namely 2001, 2002 and 2003. If floods are again expected in 2004, the number of huts expected to be destroyed is:
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