KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math: Questions 170 - 175 of 265

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Question number: 170

» 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: 171

» Basic Mathematics » Algebra » Solving Equations

MCQ▾

Question

The square root of is –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 172

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

The least positive integer n from which is –

Choices

Choice (4) Response

a.

10

b.

11

c.

12

d.

13

Question number: 173

» 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, denote the heights of water at this stage in the buckets B, C respectively, then the ratio equals –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 174

» 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 and , then MR: MP is –

Choices

Choice (4) Response

a.

b.

1: 2

c.

2: 1

d.

Question number: 175

» Sequence and Series » Relation Between AM and GM

MCQ▾

Question

Let m, n, o be three non-negative integers such that. The maximum possible value of is,

Choices

Choice (4) Response

a.

160

b.

320

c.

240

d.

510

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