KVPY Stream-SA (Class 11) Math: Questions 135 - 139 of 251

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Question number: 135

» Basic Mathematics » Arithmetic » Absolute Value

MCQ▾

Question

The least positive integer n from which n+23n+13<115 is,

Choices

Choice (4) Response

a.

9

b.

10

c.

12

d.

15

Question number: 136

» Basic Mathematics » Arithmetic » Ratio and Proportion

MCQ▾

Question

A business man travels 900 km by train at 70 km/hr, 700 km by ship at 55 km/hr, 750 km by aero plane at 375 km/hr and 50 km by car at 50 km/hr. So the average speed (in km/hr) for entire distance is –

Choices

Choice (4) Response

a.

82

b.

86

c.

80

d.

84

Question number: 137

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

Question

Let ABCD be a square of side length 1, and a circle of radius r, passing through B and C, and touching AD. The radius of r is –

Choices

Choice (4) Response

a.

58

b.

38

c.

12

d.

12

Question number: 138

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

Question

In a triangle ABC, points X and Y are on AB and AC, respectively, such that XY is parallel to BC. Which of the two following equalities always hold? (Here [PQR] denotes the area of triangle PQR) –

(I) [BCX] = [BCY]

(II) [ACX][ABY]=[AXY][ABC]

Choices

Choice (4) Response

a.

(II)

b.

Neither (I) nor (II)

c.

(I)

d.

Both a. and c. are correct

Question number: 139

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

Question

A triangular corner is cut from a rectangular piece of paper and the resulting pentagon has sides 5, 6, 8, 9, 12 in some order. The ratio of the area of the pentagon to the area of the rectangle is –

Choices

Choice (4) Response

a.

1318

b.

1718

c.

1518

d.

1118

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