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Complete the series: 4, 20, 35, 49, 62, 74, ? a : 85
a. 76
b. 79
c. 83
d. 85

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TCS Other Question

A permutation is often represented by the cycles it has, For example, if we permute the numbers in the natural order to 2 3 1 5 4, this is represented as (1 3 2) (5 4). In this the (132) says that the first number has gone to the position 3, the third number has gone to the position 2, and the second number has gone to the position 1, and (5 4) means that the fifth has gone to position 4 and fourth has gone to position 5. The numbers with brackets are to be read cyclically. If a number has not changed position, it is kept as a single cycle. This 5 2 1 3 4 is represented as (1345)(2). We may apply permutations on itself if we apply the permutation (132)(54) once, we get 2 3 1 5 4. If we consider the permutation of 7 numbers (1457)(263) what is its order ( how many times must it be applied before the numbers appear in the original order) ?
a. 12
b. 7
c. 7!
d, 14
The length of a rope, to which a cow is tied, is increased from 19m to 30m. How much additional ground will it be able to graze? Assume that the cow is able to move on all sides with equal ease.
a. 1696 sq m
b. 1694 sq m
c. 1594 sq m
d. 1756 sq m