KVPY Stream-SA (Class 11) Math: Questions 110 - 114 of 251

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Question number: 110

» Basic Mathematics » Arithmetic » Ratio and Proportion

MCQ▾

Question

The average incomes of the people in two villages are P and Q, respectively. Assume that P ≠ Q. A person moves from the first village to the second village. The new average incomes are P’ and Q’, respectively. Which of the following is not possible?

Choices

Choice (4) Response

a.

P’ > P and Q’ < Q

b.

P’ > P and Q’ > Q

c.

P’ = P and Q’ = Q

d.

P’ < P and Q’ < Q

Question number: 111

» Basic Mathematics » Arithmetic » Absolute Value

MCQ▾

Question

The square of (0.25)310.25+(0.25+(0.25)2+1) is,

Choices

Choice (4) Response

a.

19

b.

169

c.

425

d.

14

Question number: 112

» Binomial Theorem » For Middle Term

MCQ▾

Question

Let f (x) be a quadratic polynomial with f(10)=108 and f(10)=12 . Then the coefficient of x in f (x) is

Choices

Choice (4) Response

a.

6

b.

8

c.

5

d.

4

Question number: 113

» Basic Mathematics » Geometry » Polygons With More Than 4 Sides

MCQ▾

Question

A triangular corner is cut from a rectangular piece of board and the resulting pentagon has sides 5, 13, 15, 17, 20 in some order. The ratio of the area of the rectangle to the area of the pentagon is,

Choices

Choice (4) Response

a.

3117

b.

1731

c.

3431

d.

1718

Question number: 114

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2015

MCQ▾

Question

Two distinct polynomials f (x) and g (x) are defined as follows:

f(x)=x2+ax+2

g(x)=x2+2x+a

If the equations f (x) = 0 and g (x) = 0 have a common root then the sum of roots of the equation f(x)+g(x)=0 is

Choices

Choice (4) Response

a.

12

b.

0

c.

12

d.

1

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