When 10a2 + ka – 10 is divided by (2a – 3), it gives the remainder 2. Find the value of k.

# Fire Operator Exam

## A and B have a certain number of stamps. A said to B, If you give me one of your stamps, we shall ha….

A and B have a certain number of stamps. A said to B, If you give me one of your stamps, we shall have equal number of stamps. B replied, If you give me one of your stamps, I shall have twice as many as you will be left...

## In a cricket match, Warne took one wicket more than twice the number of wickets taken by Brett Lee. ….

In a cricket match, Warne took one wicket more than twice the number of wickets taken by Brett Lee. If the product of the number of wickets taken by these two is 10, find the number of wickets taken by each.

## In a group of children, every child gives a gift to every other child. If the number of gifts is 272….

In a group of children, every child gives a gift to every other child. If the number of gifts is 272, find the number of children.

## If f(x) = 2×3 + ax2 – 11x + b is exactly divisible by (x – 2) (x + 3), find the value of a and b…..

If f(x) = 2x3 + ax2 – 11x + b is exactly divisible by (x – 2) (x + 3), find the value of a and b.

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## What should be added to 8×3 – 12×2 + 4x – 5 to make it exactly divisible by 2x + 1?….

What should be added to 8x3 – 12x2 + 4x – 5 to make it exactly divisible by 2x + 1?

## The product of two consecutive odd numbers is 575. Find the sum of the numbers…..

The product of two consecutive odd numbers is 575. Find the sum of the numbers.

## Divide 17 into two parts so that the difference between squares of numbers is 119…..

Divide 17 into two parts so that the difference between squares of numbers is 119.

## Simplify: ….

Simplify:

## If x + y = 1, find the value of x3 + y3 + 3xy…..

If x + y = 1, find the value of x3 + y3 + 3xy.

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