KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math: Questions 131 - 138 of 265

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Question number: 131

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

The largest non-negative integer m such that 36m divides 18! is

Choices

Choice (4) Response

a.

3

b.

2

c.

5

d.

4

Question number: 132

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

Which of the following set of numbers necessarily contains a multiple of 7?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 133

» 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: 134

» Basic Mathematics » Algebra » Solving Equations

MCQ▾

Question

Let p, q, r, s be real numbers such that, and . Then the set of all possible values of is –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 135

» Basic Mathematics » Arithmetic » Absolute Value

MCQ▾

Question

The least positive integer n from which 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.

b.

c.

d.

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)

Choices

Choice (4) Response

a.

(II)

b.

Neither (I) nor (II)

c.

(I)

d.

Both a. and c. are correct

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