# IMO- Mathematics Olympiad Class 10: Questions 81 - 85 of 958

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## Question number: 81

MCQ▾

### Question

If the zero of the quadratic polynomial is 3, then the value of k is ________

### Choices

Choice (4) Response

a.

-8

b.

-3

c.

6

d.

-1

## Question number: 82

MCQ▾

### Question

If are the roots of the cubic, the value of is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 83

MCQ▾

### Question

At the end of the year 2006, Prit was half old as his grandpa. The sum of the years in which they were born is 3922. Age of Prit at the end of year 2007 is ________

### Choices

Choice (4) Response

a.

21 years

b.

41 years

c.

31 years

d.

51 years

## Question number: 84

MCQ▾

### Question

Places and are 120 km apart from each other on a national highway. A car starts from and another from at the same time. If they go in the same direction then they meet in 6 hours and if they go in opposite directions they meet in hours. The speeds of the cars are ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 85

MCQ▾

### Question

The digit at the ten’s place of a two digit number is twice the digit at the unit’s place. If the sum of this number and the number formed by reversing the digits is 99, find the number.

### Choices

Choice (4) Response

a.

36

b.

52

c.

63

d.

24

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