# KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 109 - 111 of 172

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## Question number: 109

Appeared in Year: 2013

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 110

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2013

MCQ▾

### Question

Let be a non – constant polynomial with real coefficients such that and for all real . Which of the following statements is NOT necessarily true? (Model Paper)

### Choices

Choice (4) Response

a.

The coefficient of the highest degree term in is negative

b.

has at least two real roots

c.

If then

d.

At least one of the coefficients of is bigger than .

## Question number: 111

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2014

MCQ▾

### Question

Let be the circle in the XY – plane. For each , let be the line passing through and . Note that intersects C in two points, one of which is . Let be the other point. As varies between and , the collection of points sweeps out an arc on C. The angle subtended by this are at is:

### Choices

Choice (4) Response

a.

b.

c.

d.

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