KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math: Questions 173 - 176 of 265

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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 Equation and Equation , then MR: MP is –

Choices

Choice (4) Response

a.

Equation

b.

1: 2

c.

2: 1

d.

Equation

Question number: 175

» Sequence and Series » Relation Between AM and GM

MCQ▾

Question

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

Choices

Choice (4) Response

a.

160

b.

320

c.

240

d.

510

Question number: 176

» 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 AEFDEquation .

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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