Basic Mathematics (KVPY Stream-SA (Class 11) Math): Questions 73 - 78 of 164

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Question number: 73

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

The number of distinct primes dividing 12! + 13! + 14! is –

Choices

Choice (4) Response

a.

7

b.

6

c.

5

d.

8

Question number: 74

» Basic Mathematics » Algebra » Solving Equations

MCQ▾

Question

Let p, q, r, s be real numbers such that p2+q2=64 , r2+s2=100 and pr+qs=80 . Then the set of all possible values of psqr is –

Choices

Choice (4) Response

a.

{0}

b.

[911,)

c.

[0,911]

d.

(0,711]

Question number: 75

» 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: 76

» 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: 77

» 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: 78

» 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

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