KVPY Stream-SA (Class 11) Math: Questions 129 - 134 of 265

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Question number: 129

» Basic Mathematics » Algebra » Solving Equations

MCQ▾

Question

If (x1x)=p , (x2+1x3)=q , then (x31x2) is –

Choices

Choice (4) Response

a.

p3p2+q3p2

b.

p3p22q3p+2

c.

p3+3p2q+2p+1

d.

p3p22q+3p+3

Question number: 130

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

Question

The three different face diagonals of a cuboid (rectangular parallelepiped) have lengths 70, 82, 86. The length of the main diagonal of the cuboid which joins a pair of opposite corners is

Choices

Choice (4) Response

a.

90.78

b.

97.52

c.

80.63

d.

95.36

Question number: 131

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

The largest non-negative integer m such that 36m divides 18! is

Choices

Choice (4) Response

a.

3

b.

2

c.

5

d.

4

Question number: 132

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

Which of the following set of numbers necessarily contains a multiple of 7? (n>1,n7kandn,kareinteger)

Choices

Choice (4) Response

a.

n72+1

b.

n72

c.

n721

d.

n72+2

Question number: 133

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

The number of distinct primes dividing 12! + 13! + 14! is –

Choices

Choice (4) Response

a.

7

b.

6

c.

5

d.

8

Question number: 134

» Basic Mathematics » Algebra » Solving Equations

MCQ▾

Question

Let p, q, r, s be real numbers such that p2+q2=64 , r2+s2=100 and pr+qs=80 . Then the set of all possible values of psqr is –

Choices

Choice (4) Response

a.

{0}

b.

[911,)

c.

[0,911]

d.

(0,711]

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