Basic Mathematics-Algebra (KVPY Stream-SA (Class 11) Math): Questions 7 - 13 of 17

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Question number: 7

» Basic Mathematics » Algebra » Solving Equations

MCQ▾

Question

Roots of equation: 17+x=13+14+1x are –

Choices

Choice (4) Response
a.

1, -3

b.

-3, -4

c.

-1, 3

d.

3, 4

Question number: 8

» Basic Mathematics » Algebra » Solving Equations

MCQ▾

Question

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

Choices

Choice (4) Response
a.

2

b.

3

c.

4

d.

1

Question number: 9

» Basic Mathematics » Algebra » Solving Equations

MCQ▾

Question

The square root of A=x2p2q2x2pqp2x2q2 is –

Choices

Choice (4) Response
a.

xp+q

b.

x(p+q)22

c.

xp+q2

d.

x2(p+q)

Question number: 10

» Basic Mathematics » Algebra » Solving Equations

MCQ▾

Question

Which of the following can be true if and only if x=y=z for x, y and z are positive and real?

Choices

Choice (4) Response
a.

x3+y3+z3=3xyz

b.

x3+y2z+z2x=3xyz

c.

x3+y2z+yz2=3xyz

d. All a. , b. and c. are correct

Question number: 11

» Basic Mathematics » Algebra » Simplifying Expressions

MCQ▾

Question

For which, statement: “ f(x)=x2x+41 is prime” is not true?

Choices

Choice (4) Response
a.

f(2)

b.

f(4)

c.

f(5)

d.

f(3)

Question number: 12

» Basic Mathematics » Algebra » Solutions to Equations

MCQ▾

Question

If a, b, c, d are positive real numbers such that, a2=a+b4=a+b+c6=a+b+c+d8 , then ba+3c+5d is –

Choices

Choice (4) Response
a.

9

b.

52

c.

25

d.

19

Question number: 13

» 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

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