Register

ISI Maths

523 views
0 votes
0 votes
S is the set whose elements are zero and all even integers, positive and negative. Consider the five operations : [1] addition; [2] subtraction; [3] multiplication; [4] division; and [5] finding the arithmetic mean. Which of these operations when applied to any pair of elements of S, yield only elements of S ?
(A) [1], [2], [3], [4].         (B) [1], [2], [3], [5].
(C) [1], [3], [5].                  (D) [1], [2], [3].
User Avatar

1 Answer

Best answer
0 votes
0 votes

answer D

  • even + even = even   result of [1]  will be is set
  • even - even = even   result of [2]  will be is set
  • even x even = even   result of [3]  will be is set
  • even / even = may or may not be even  eg: 8/2=4 is even but 10/2 =5 is odd
  • While calculating arithmetic mean we need to divide numbers, so same problem as in division may arise. result may or may not be even
• selected by
User Avatar
Voting & Accepting an answer helps improve the community
← PreviousNext →
← Previous in categoryNext in category →

Related questions

0 votes
0 votes
2 answers
2
. asked Jul 18, 2016
908 views
ISI Maths
If A,B,C and D are statements such that if at least one of A and B is true, then at least one of C and D must be true. Further, both A and C are false. Then (A) if D is false then B is false (B) both B and D are false (C) both B and D are true (D) if D is true then B is true
If A,B,C and D are statements such that if at least one of A and B is true, then at least one of C and D must be true. Further, both A and C are false. Then(A) if D is fa...
User Avatar
0 votes
0 votes
2 answers
4
. asked Jul 18, 2016
861 views
ISI Maths
A box contains 100 balls of different colours : 28 red, 17 blue, 21 green, 10 white, 12 yellow, 12 black. The smallest number such that any balls drawn from the box will contain at least 15 balls of the same colour, is (A) 73; (B) 77; (C) 81; (D) 85.
A box contains 100 balls of different colours : 28 red, 17 blue, 21 green, 10 white, 12 yellow, 12 black. The smallest number such that any balls drawn from the box will ...
User Avatar
Link Copied!