KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 107 - 109 of 172

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Question number: 107

» Statistics and Probability » Standard Deviation

Appeared in Year: 2013

MCQ▾

Question

Let Equation . A list of numbers Equation has mean Equation and standard deviation Equation . A new list of numbers is made as follows: Equation . The mean and the standard deviation of the new list are Equation . Which of the following is necessarily true? (Model Paper)

Choices

Choice (4) Response

a.

Equation many or may not be equal to Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 108

» Sequence and Series » N Terms of Special Series (Squares & Cubes)

Appeared in Year: 2013

MCQ▾

Question

For an integer Equation let Equation . Which of the following is true for all Equation ? (Model Paper)

Choices

Choice (4) Response

a.

Equation has at least four multiples of 5

b.

Equation has a prime

c.

Equation has at most six primes

d.

Equation has a multiple of 19

Question number: 109

» Statistics and Probability » Probability

Appeared in Year: 2013

MCQ▾

Question

A box contains coupons labeled Equation . A coupon is picked at random and the number Equation is noted. The coupon is put back into the box and a new coupon is picked at random. The new number is Equation . Then the probability that one of the numbers Equation divides the other is (in the options below Equation denotes the largest integer less than or equal to Equation ) (Model Paper)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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