# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 310 - 316 of 968

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## Question number: 310

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MCQ▾

### Question

One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots -5 and 6. The other copied the constant term and coefficient of correctly as and respectively. The correct roots are

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 311

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### Question

If has equal roots, and then c is equal to________

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Choice (4) Response

a.

b.

c.

d.

## Question number: 312

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### Question

The roots of the equation can be found by solving ________

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Choice (4) Response

a.

b.

c.

d.

## Question number: 313

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### Question

The equation has ________

### Choices

Choice (4) Response

a.

No root

b.

Two real roots

c.

Infinitely many roots

d.

One integral root

## Question number: 314

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MCQ▾

### Question

If , then the value of x in terms of a and b is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 315

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MCQ▾

### Question

Two numbers whose sum is 20 and absolute value of whose difference are 6 are the roots of the equation ________

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Choice (4) Response

a.

b.

c.

d.

## Question number: 316

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MCQ▾

### Question

If , then the value of x in terms of a and b is ________

### Choices

Choice (4) Response

a.

b.

c.

d.