KVPY Stream-SA (Class 11) Math: Questions 220 - 225 of 251

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Question number: 220

» Complex Numbers and Quadratic Equations » Formation of Quadratic Equations With Given Roots

MCQ▾

Question

The equation whose one roots is 2(21) , is

Choices

Choice (4) Response

a.

x2+4x2=0

b.

x24x+2=0

c.

x2+4x+2=0

d.

x24x2=0

Question number: 221

» Basic Mathematics » Algebra » Solutions to Equations

MCQ▾

Question

If m, n are natural number such that 2016=n2m2, then the minimum possible value of mn is –

Choices

Choice (4) Response

a.

62000

b.

63000

c.

63500

d.

62500

Question number: 222

» Basic Mathematics » Algebra » Simplifying Expressions

MCQ▾

Question

If the system of equations: 4x+y=1,(3k+1)x+(2k1)y=(6k+1) has no solution, then the value of k is –

Choices

Choice (4) Response

a.

2

b.

3

c.

1

d.

4

Question number: 223

» Basic Mathematics » Algebra » Solutions to Equations

MCQ▾

Question

Let α, β, γ, θ be real numbers such that α2+β2=144 , γ2+θ2=125 and αγ+βθ=169 . Then the set of all possible values of αθβγ is –

Choices

Choice (4) Response

a.

102.76

b.

0

c.

86

d.

112.10

Question number: 224

» Basic Mathematics » Arithmetic » Rates, Speeds and Unitary Method

MCQ▾

Question

A particle moves along the curve 15y=x3+5 . Find the point on the curve at which the y-coordinate is changing 5 times as fast as the x-coordinate.

Choices

Choice (4) Response

a.

(5,263)and(5,8)

b.

(263,5)and(5,8)

c.

(5,7)and(5,7)

d.

(5,263)and(5,7)

Question number: 225

» Basic Mathematics » Arithmetic » Rates

MCQ▾

Question

Given area four cylindrical buckets A, B, C, D whose circular bases are of radii 2, 4, 6, 8 units, respectively. Initially water is filled in these buckets up to the same height. Some water is then transferred from D to A and B so that they all three have the same volume of water. Some water is then transferred between C and B so that they both have the same volume of water. If hA , hB denote the heights of water at this stage in the buckets A, B respectively, then the ratio hAhB equals –

Choices

Choice (4) Response

a.

43

b.

65

c.

8140

d.

72

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