IMO- Mathematics Olympiad Class 10: Questions 188 - 192 of 908

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Question number: 188

» Polynomials

MCQ▾

Question

For x2+2x+5 to be a factor of x4+px2+q , the value of p and q should respectively be ________

Choices

Choice (4) Response

a.

2, 5

b.

5, 2

c.

6, 25

d.

5, 25

Question number: 189

» Polynomials

MCQ▾

Question

When 6x226x+12 is divided by x4 , the quotient and remainder is ________

Choices

Choice (4) Response

a.

x+2,4

b.

6x2,4

c.

6x+2,2

d.

x2,4

Question number: 190

» Pair of Linear Equations in Two Variables

MCQ▾

Question

A boat goes 40 km upstream and 55 km downstream in 20 hours. In 23 hours, it can go 50 km upstream and 66 km downstream. If x represents the speed of the boat in still water in km/hr and y represent the speed of the stream in km/hr, then ________

Choices

Choice (4) Response

a.

8x+8y=11,x+y=2

b.

9x+y=11,x2y=4

c.

3x+3y=5,x3y=31

d.

2x+y=15,x2y=10

Question number: 191

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The sum of a two digit number and the number obtained by interchanging the digits of the number is 88. If the digits of the number differ by 6, then numbers are ________

Choices

Choice (4) Response

a.

65, 56

b.

71, 17

c.

43, 34

d.

41, 14

Question number: 192

» Polynomials

MCQ▾

Question

If αandβ are two numbers such that α+β=6,αβ=8 . Then αandβ are the roots of the quadratic equation ________

Choices

Choice (4) Response

a.

x2+6x+7=0

b.

x26x+8=0

c.

x2+6x8=0

d.

x26x7=0

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