Polynomials (IMO- Mathematics Olympiad Class 9): Questions 21 - 28 of 104

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Question number: 21

» Polynomials

MCQ▾

Question

If x=1+2t , y=6+t and z=12t, then value of t when 2x+y2z=19 , is________.

Choices

Choice (4) Response

a.

-1

b.

-2

c.

2

d.

1

Question number: 22

» Polynomials

MCQ▾

Question

If (1+27169)=(1+x13) , then the value of x is________.

Choices

Choice (4) Response

a.

7

b.

5

c.

3

d.

1

Question number: 23

» Polynomials

MCQ▾

Question

(mn)68m3=

Choices

Choice (4) Response

a.

[(mn)22m][(mn)4+(mn)22m+4m2]

b.

[(mn)3+4m][(mn)32m2]

c.

[(mn)3(2m)3][(mn)3+(m3)]

d.

None of the above

Question number: 24

» Polynomials

MCQ▾

Question

Find the remainder when 3a35a2+10a3 is divided by 3a+1 .

Choices

Choice (4) Response

a.

-5

b.

-4

c.

-7

d.

-9

Question number: 25

» Polynomials

MCQ▾

Question

If k=(3x) , then x3+9xk+k3+27 , is ________.

Choices

Choice (4) Response

a.

55

b.

0

c.

54

d.

34

Question number: 26

» Polynomials

MCQ▾

Question

The value of k for which (x+2) is a factor of (x+1)7+(3x+k)3 is ________.

Choices

Choice (4) Response

a.

7

b.

7

c.

1

d.

63(7/3)

Question number: 27

» Polynomials

MCQ▾

Question

49y214y+125x2 =

Choices

Choice (4) Response

a.

(7y1+5x)(7y15x)

b.

(5x1+7y)(5x17y)

c.

(5x+7y1)(5x+7y+1)

d.

(7y1+5x)(7y1+5x)

Question number: 28

» Polynomials

MCQ▾

Question

If x=aba+b,y=bcb+c,z=cac+a, then the value of (1+x)(1+y)(1+z)(1x)(1y)(1z) is ________.

Choices

Choice (4) Response

a.

1

b.

-1

c.

abc

d.

a2b2c2

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