KVPY Stream-SA (Class 11) Math: Questions 25 - 28 of 251

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Question number: 25

» Basic Mathematics » Arithmetic » Ratio and Proportion

Appeared in Year: 2011

MCQ▾

Question

Two friends A and B are 30 km apart and they start simultaneously on motorcycles to meet each other. The speed of A is 3 times that of B. The distance between them decreases at the rate of 2 km per minute. Ten minutes after they start, A’s vehicle breaks down and A stops and waits for B to arrive. After how much time (in minutes) A started riding, does B meet A?

Choices

Choice (4) Response

a.

20

b.

30

c.

25

d.

15

Question number: 26

» Coordinate Geometry » Equations of Internal and External Bisectors of Angles

MCQ▾

Question

PQR be a triangle with ∠ Q = 90 0. Let PS be the bisector of ∠ P with S on QR. Suppose PR = 5 cm, length of the SR is 2 cm, and the area of the triangle PQS is 10 cm 2. Then the length of PQ in cm is equal to

Choices

Choice (4) Response

a.

10

b.

7

c.

15

d.

5

Question number: 27

» Coordinate Geometry » Circles

Appeared in Year: 2011

MCQ▾

Question

Three circles each of radius 1, touch one another externally and they lie between two parallel lines. The minimum possible distance between the lines is

Choices

Choice (4) Response

a.

2+13

b.

4

c.

3+3

d.

2+3

Question number: 28

» Basic Mathematics » Arithmetic » Clocks

Appeared in Year: 2011

MCQ▾

Question

A certain 12-hour digital clock displays the hour and the minute of a day. Due to a defect in the clock whenever the digit 1 is supposed to be displayed it displays 7. What fraction of the day will the clock show the correct time?

Choices

Choice (4) Response

a.

12

b.

34

c.

58

d.

56

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