KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math: Questions 107 - 109 of 155

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 155 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 150.00 or

Question number: 107

» Statistics and Probability » Standard Deviation

Appeared in Year: 2013

MCQ▾

Question

Let n3 . A list of numbers 0<x1<x2<<xn has mean μ and standard deviation σ . A new list of numbers is made as follows: y1=0,y2=x2,,yn1=xn1,yn=x1+xn . The mean and the standard deviation of the new list are μ^andσ^ . Which of the following is necessarily true? (Model Paper)

Choices

Choice (4) Response

a.

μ many or may not be equal to μ^

b.

μ=μ^,σσ^

c.

σ=σ^

d.

μ=μ^,σσ^

Question number: 108

» Sequence and Series » Sum Upto N Terms of Special Series

Appeared in Year: 2013

MCQ▾

Question

For an integer n let Sn={n+1,n+2,...,n+18} . Which of the following is true for all n10 ? (Model Paper)

Choices

Choice (4) Response

a.

Sn has at least four multiples of 5

b.

Sn has a prime

c.

Sn has at most six primes

d.

Sn has a multiple of 19

Question number: 109

» Statistics and Probability » Probability

Appeared in Year: 2013

MCQ▾

Question

A box contains coupons labeled 1,2,3n . A coupon is picked at random and the number x is noted. The coupon is put back into the box and a new coupon is picked at random. The new number is y . Then the probability that one of the numbers x,y divides the other is (in the options below [r] denotes the largest integer less than or equal to r ) (Model Paper)

Choices

Choice (4) Response

a.

12

b.

1n+1n2k=1n[nk]

c.

2n2k=1n[nk]1n

d.

1n2k=1n[nk]

Sign In