KVPY Stream-SA (Class 11) Math: Questions 226 - 231 of 265

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Question number: 226

» Basic Mathematics » Geometry » Polygons With More Than 4 Sides

MCQ▾

Question

12 sphere of same size are made from melting a solid cylinder of 16 cm diameter and 2 cm height. The diameter of each sphere is:

Choices

Choice (4) Response

a.

4cm

b.

3cm

c.

3cm

d.

2cm

Question number: 227

» Permutations and Combinations » Simple Applications

MCQ▾

Question

If n C r-1 = 165, n C r = 330, and n C r + 1 = 462; than value of n and r respectively –

Choices

Choice (4) Response

a.

n=11,r=4

b.

n=10,r=3

c.

n=9,r=3

d.

n=8,r=1

Question number: 228

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

How many positive real numbers x satisfy the equation,

x37 x +6=0

Choices

Choice (4) Response

a.

2

b.

1

c.

4

d.

6

Question number: 229

» Trigonometry » Trigonometric Functions

MCQ▾

Question

Simplification of {4sinαsin(α+π3)sin(α+2π3)} is –

Choices

Choice (4) Response

a.

sin2α

b.

sinα

c.

sin3α

d.

None of the above

Question number: 230

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

MCQ▾

Question

15 men can complete a work in 6 days and 15 children take 12 days to complete a work. How many days will 5 men and 10 children take to complete the work?

Choices

Choice (4) Response

a.

12

b.

9

c.

8

d.

10

Question number: 231

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

MCQ▾

Question

Let A(x)=x27x+p and B(x)=x25x+q , where p and q are positive integers. Suppose hcf(A(x),B(x))=x2 and k(x)=lcm(A(x),B(x)) . If the coefficient of the highest degree term of k (x) is 1, the sum of the roots of (x2)+k(x) is –

Choices

Choice (4) Response

a.

22

b.

9

c.

10

d.

27

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