KVPY Stream-SA (Class 11) Math: Questions 201 - 205 of 265

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Question number: 201

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

MCQ▾

Question

A ladder 8 cm long is leading against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at the rate of 2 cm/sec. How fast is its height on the wall decreasing when the foot of the ladder is 3 cm away from the wall?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 202

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

MCQ▾

Question

If α, β are the roots of Equation then that equation whose roots are Equation is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

None of the above

Question number: 203

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

Consider an incomplete pyramid of balls on a square base having 15 layers; and having 10 balls on each side of the top layer. Then the total number N of balls in that pyramid satisfies

Choices

Choice (4) Response

a.

60000 < N < 7000

b.

4000 < N < 5000

c.

5000 < N < 6000

d.

3000 < N < 40000

Question number: 204

» Trigonometry » Trigonometric Identities and Equations

MCQ▾

Question

In triangle ABC, value of Equation is –

Choices

Choice (4) Response

a.

Sin B

b.

1

c.

Cos B

d.

-1

Question number: 205

» Sets, Relations and Functions » Types of Relations

MCQ▾

Question

Which of the following statements are true –

(i) If Equation then Equation

(ii) If Equation then Equation

(iii) If Equation then Equation

(iv) If Equation then Equation

Select the correct option from given above:

Choices

Choice (4) Response

a.

(i) & (ii) are correct

b.

(i), (ii) & (iii) are correct

c.

(ii) & (iii) are correct

d.

(i) & (iv) are correct

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