Basic Mathematics (KVPY Stream-SA (Class 11) Math): Questions 102 - 107 of 156

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Question number: 102

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

The largest non-negative integer K such that 18k divides 16! is

Choices

Choice (4) Response
a.

5

b.

3

c.

2

d.

4

Question number: 103

» Basic Mathematics » Algebra » Solving Equations

MCQ▾

Question

The square root of A=x2p2q2x2pqp2x2q2 is –

Choices

Choice (4) Response
a.

xp+q

b.

x(p+q)22

c.

xp+q2

d.

x2(p+q)

Question number: 104

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

The least positive integer n from which n3n13<115 is –

Choices

Choice (4) Response
a.

10

b.

11

c.

12

d.

13

Question number: 105

» Basic Mathematics » Arithmetic » Rates

MCQ▾

Question

Given area three cylindrical buckets A, B, C whose circular bases are of radii 4, 6, 8 units, respectively. Initially water is filled in these buckets up to the same height. Some water is then transferred from C to A so that they both have the same volume of water. Some water is then transferred between A and B so that they both have the same volume of water. If hB , hC denote the heights of water at this stage in the buckets B, C respectively, then the ratio hBhC equals –

Choices

Choice (4) Response
a.

8140

b.

40

c.

65

d.

7645

Question number: 106

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

Question

In a triangle PQR with ∠Q = 90°, M is a point on PR such that QM: QR = 5: 2. If QR=23 and PQ=2 , then MR: MP is –

Choices

Choice (4) Response
a.

1:22

b.

1: 2

c.

2: 1

d.

22:1

Question number: 107

» Basic Mathematics » Geometry » Quadrilateral and Properties

MCQ▾

Question

The area of a rectangular ABCD is 40. Points E and F are on the side BC, such that area of the trapezoid AEFD becomes 32. Find the ratio of parallel sides of trapezoid AEFD :(ADEF) .

Choices

Choice (4) Response
a.

35

b.

25

c.

23

d.

52

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