## Maximum value of 2x+3y

If (x,y) lies on a circle of a radius 5 with the origin as its center, find the maximum value of (2x + 3y)

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## Probability of a fisherman

Every day a fisherman can choose to fish at sea, by a river, or at a lake. The probability that he fishes at sea, by the river, and at...

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## How many coins can cover the entire table?

A rectangular table has 100 coins placed on it (centers must be on the table) such that none of the coins overlap, and it is impossible to place any...

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## Calculate the amount paid in each installments

An Electrical shop sells a video recorder for $3200 cash price. The purchase deal is offered to a customer at an extra 20% cost. The customer pays a deposit...

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## Change in Temperature wrt time

A roasted turkey is taken from an oven when its temperature has reached 185°F and is placed on a table in a room where the temperature is 75°F. (a)....

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## Distance Time

A cargo plane flew from the Clark across the Pacific at 255 kph and flew back to the Clark at 275 kph. Given that the first trip took 2...

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## One dimensional collision

A 1200kg car traveling initially at 25m/s in an eastern direction crashed into the back of a 9000kg truck moving at the same direction at 20m/s. The velocity of...

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## Largest possible sum

In the year 2001, the International Mathematics Olympiad was held in the USA. Let be distinct positive integers such that the product I * M * O =...

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## Base conversion

If (11011)2 = (____________)10, then the number in the blank space is: a. 33 b. 22 c. 27 d. 30

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## Sum of numbers on the faces of a cube

Positive integers are written on all the faces of a cube, one on each. At each corner (vertex) of the cube, the product of the numbers on the faces...

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## Percentage change in salary

A man’s salary was first increased by 10% and then decreased by 10%. What is the total percentage change in his salary?

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## Vector resolution

The magnitude of each force vectors is 6N, and the angle between them is 120° as shown. Find the magnitude and direction of the resultant vector.

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## write equation for polynomial

Write an equation for a polynomial that has the solution set {-1 , 3, 4}

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## Speed, distance and time

A bicycle wheel has a diameter of 63cm. Calculate how many times the wheel turns round in traveling km. Use the value 22/7, for π

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## Geometry question

BM and CN are altitudes of triangle ABC. If |AB| = cm, |AC| = cm and |BM| = cm, calculate the area of triangle ABC, and...

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## Find a x b x c x d

If a, b, c and d are unique digits and aaaa + bbb + cc + d = 1995, find the value of a * b * c *...

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## Prove that 12b^2 = 49ac

Given: ax^2 + bx + c = 0 The proportion of the roots of the equation is 3:4. Prove that 12b^2 = 49ac

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