# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 90 - 97 of 968

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## Question number: 90

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### Question

The denominators of a rational number is greater than its numerator by 5. If 2 is subtracted from the numerator and 5 is added to the denominator, the new number becomes . Then the original number was ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 91

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### Question

If are the roots of the equation , then the equation whose roots are and is ________

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Choice (4)Response

a.

b.

c.

d.

## Question number: 92

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### Question

The difference of roots of the quadratic equation is ________

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Choice (4)Response

a.

b.

c.

d.

## Question number: 93

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### Question

The sum of the reciprocals of the roots of the equation is ________

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Choice (4)Response

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b.

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d.

## Question number: 94

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### Question

If are the roots of the equation , then the quadratic equation whose roots are and is ________

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Choice (4)Response

a.

b.

c.

d.

## Question number: 95

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### Question

If are the roots of the equation , then the equation whose roots are and is ________

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Choice (4)Response

a.

b.

c.

d.

## Question number: 96

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### Question

If are the zeroes of the quadratic polynomial , then the value of is ________

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Choice (4)Response

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b.

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d.

## Question number: 97

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### Question

The denominators of a rational number is greater than its numerator by 10. If 5 is subtracted from the numerator and 3 is added to the denominator, the new number becomes . Then the original number was ________

### Choices

Choice (4)Response

a.

b.

c.

d.

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