KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 12 - 15 of 172

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Question number: 12

» Basic Mathematics » Arithmetic » Ratio and Proportion

Appeared in Year: 2011

MCQ▾

Question

Two players play the following game: A writes 3,5, 6 on three different cards; B writes 8,9, 10 on three different cards. Both draw randomly two cards from their collections. Then A computes the product of two numbers he/she has drawn, and B computes the sum of two numbers he/she has drawn. The player getting the larger number wins. What is the probability that A wins?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 13

» Sets, Relations and Functions » Union, Intersection and Complement of Sets

Appeared in Year: 2011

MCQ▾

Question

Let X be a nonempty set and let P (X) denote the collection of all subsets of X. Define

Then equal to –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 14

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2010

MCQ▾

Question

Let be a continuous function satisfying, for all. Then the number of elements in set is –

Choices

Choice (4) Response

a.

2

b.

1

c.

4

d.

3

Question number: 15

» Coordinate Geometry » Section Formula

Appeared in Year: 2010

MCQ▾

Question

The following figure shows the graph of a continuous function y = f (x) on the interval [1,3]. The points A, B, C have coordinates (1,1), (3,2), (2,3) respectively, and the lines L1 and L2 are parallel, with L1 being tangent to the curve at C. If the area under the graph of y = f (x) from x = 1 to x = 3 is 4 square units, then the area of the shaded region is

Graph of continuous function

Graph of Continuous Function

Figure shows the graph of a continuous function y = f (x) on the interval [1,3]. The points A, B, C have coordinates (1,1), (3,2), (2,3) respectively, and the lines are parallel, with L1 being tangent to the curve at C.

Choices

Choice (4) Response

a.

4

b.

3

c.

5

d.

2

f Page
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