When a six faced dice is rolled the probability that the top face number is a perfect square and also a perfect cube is
A) 1/6
B) 1/4
C) 1/3
D) 2/3
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A cube of aluminium of each side 0.1 m is subjected to a shearing force of 100 N. The top face of the cube is displaced through 0.02 cm
Correct option is: (D) 0.002
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Sum of probabilities of getting an even number and an odd number when a die is rolled is
Correct option is (D) 1 Possible outcomes when a die is rolled are S = {1, 2, 3, 4, 5, 6}. \(\therefore\) Total outcomes is n(S) = 6 E = Event of getting an even...
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i) Getting 7 on the top when a dice is rolled ii) Getting head on the top while tossing a coin
C) Both (i) & (iv)
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When a dice is rolled, total number of possible outcomes are
Correct option is (D) 6 When a dice is rolled, then possible outcomes are S = {1, 2, 3, 4, 5, 6}. Hence, total number of possible outcomes are 6.
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When a dice is rolled, total number of possible outcomes are
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When a six faced dice is rolled the probability that the top face number is a perfect square and also a perfect cube is
Correct option is (A) 1/6 Possible outcomes are S = {1, 2, 3, 4, 5, 6} \(\therefore\) n(S) = 6 Number which is a perfect square and a perfect cube is 1. \((\because1^3=1\;\&\;1^2=1)\) Hence, favourable outcome...
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The perfect square and cube number of a two digited number is ……………
Correct option is (D) 64 \(64=8^2\) and \(64=4^3\) Thus, 64 is a perfect square and perfect cube number.
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The least number should be multiplied to 2560 to get a perfect cube number is ………………..
Correct option is C) 25
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Say True or False: (i) The cube of 0.0012 is 0.000001728. (ii) The cube root of 250047 is 63. (iii) 79570 is not a perfect cube.
(i) false (ii) true (iii) true
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Prove that if a number is trebled then its cube is 27 time the cube of the given number.
Let the number is = a Cube of number will be = a3 Now, the number is trebled = 3 × a = 3a Cube of new number = (3a)3 = 27a3 Hence, new...
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