NSTSE Class 10: Questions 101 - 107 of 973

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Question number: 101

» Mathematics » Polynomials

MCQ▾

Question

If x42x3+3x2mx+6 is exactly divisible by (x2), then m = ________

Choices

Choice (4) Response

a.

3

b.

4

c.

2

d.

5

Question number: 102

» Mathematics » Polynomials

MCQ▾

Question

If P(x)=(x+2)(x24x21),Q(x)=(x7)(2x2+x6) and their LCM is (x24x21)(2x2+x6) then HCF of P(x)&Q(x) is ________

Choices

Choice (4) Response

a.

(x2+5x+6)

b.

(x25x14)

c.

(2x2x6)

d.

(x25x4)

Question number: 103

» Mathematics » Polynomials

MCQ▾

Question

If (x+4) is the HCF of (x2+2x+3b) and (6x3+ax2+3x10), then ab=

Choices

Choice (4) Response

a.

32.67

b.

30.5

c.

45.5

d.

27.96

Question number: 104

» Mathematics » Polynomials

MCQ▾

Question

Which of the following expressions is a rational expression?

Choices

Choice (4) Response

a.

x32x2+3x1

b.

5x26x+7x+3

c.

2x24x+5x2

d.

x2+32x1

Question number: 105

» Mathematics » Polynomials

MCQ▾

Question

If (x+k) is the HCF (x2+x+2) and (6x3+11x24x4), then the value of k is,

Choices

Choice (4) Response

a.

2/3

b.

- 2

c.

-1/2

d.

2

Question number: 106

» Mathematics » Polynomials

MCQ▾

Question

The HCF of 49(x3+5x2+4x) and 56(x3+3x2+2x) is

Choices

Choice (4) Response

a.

7x2(x+2)

b.

x(x+1)

c.

7(x+1)

d.

7x(x+1)

Question number: 107

» Mathematics » Polynomials

MCQ▾

Question

If (x3+ax2+bx+2) is completely divisible by (x2x+2) then the values of a and b are,

Choices

Choice (4) Response

a.

a=(7)&b=(3)

b.

a=(7)&b=(3)

c.

a=(2)&b=(2)

d.

a=(7)&b=(3)

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