IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 154 - 160 of 968

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Question number: 154

» Pair of Linear Equations in Two Variables

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MCQ▾

Question

Which of the following system of equations has no solution?

Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

Question number: 155

» Polynomials

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MCQ▾

Question

Quadratic polynomial having sum of its zeroes -10 and product of its zeroes 25 is ________

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 156

» Polynomials

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MCQ▾

Question

If the sum of the squares of zeroes of the polynomial is , find the value of k

Choices

Choice (4) Response

a.

2

b.

-2

c.

4

d.

3

Question number: 157

» Pair of Linear Equations in Two Variables

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MCQ▾

Question

The number of values of k for which the system of equations has atleast one solution is ________

Choices

Choice (4) Response

a.

6

b.

-6

c.

9

d.

-9

Question number: 158

» Polynomials

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MCQ▾

Question

Every quadratic polynomial can have at the most ________

Choices

Choice (4) Response

a.

Four zeroes

b.

Two zeroes

c.

One zero

d.

Three zeroes

Question number: 159

» Pair of Linear Equations in Two Variables

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MCQ▾

Question

The value of k for which the system of equations has a unique solution, is ________

Choices

Choice (4) Response

a.

= 0

b.

= 3

c.

d.

Question number: 160

» Pair of Linear Equations in Two Variables

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MCQ▾

Question

Neha and Anjali have some books with them. Once Anjali said to Neha that if Neha gives 10 books to Anjali then Neha will have only of the books that Anjali will have with him. Then Neha asked frankly that if Anjali gives him only 15 books (to Neha), then Anjali will have as many books as Neha will have. The total number of books that Neha and Anjali have with them is ________

Choices

Choice (4) Response

a.

60

b.

30

c.

80

d.

40