KVPY Stream-SA (Class 11) Math: Questions 176 - 181 of 251

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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 AEFD :(ADEF) .

Choices

Choice (4) Response

a.

35

b.

25

c.

23

d.

52

Question number: 177

» Complex Numbers and Quadratic Equations » Relation Between Roots and Coefficients

MCQ▾

Question

Let α be a root of the equation x2+4x+8=0 . The value of (α+2)(α+4)(α+6)(α+8) is equal to-

Choices

Choice (4) Response

a.

–126

b.

-240

c.

48

d.

– 48

Question number: 178

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

The number of distinct primes dividing 17!+18!+19! is –

Choices

Choice (4) Response

a.

7

b.

6

c.

8

d.

9

Question number: 179

» Basic Mathematics » Arithmetic » Solving Expressions

MCQ▾

Question

If x, y are real number such that 5xy+15xy1=600 , then the value of x+yxy is –

Choices

Choice (4) Response

a.

2

b.

1

c.

0

d.

3

Question number: 180

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

Let n > 1 be an integer. Which of the following sets of numbers necessarily contains a multiple of 5?

Choices

Choice (4) Response

a.

n171,n17+1

b.

n68,n68+1

c.

n17,n681

d.

n68,n681

Question number: 181

» Trigonometry » Heights and Distances

MCQ▾

Question

The angle of elevation of the top of a building from the foot of tower is 300 and the angle of elevation of the top of the tower from the foot of the building is 600. If the tower is 45m high, then the height of the building is –

Choices

Choice (4) Response

a.

15

b.

12

c.

20

d.

10

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