KVPY 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.

Equation

b.

Equation

c.

Equation

d.

Equation

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

Equation

Equation

Then Equation equal to –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 14

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2010

MCQ▾

Question

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