A to Z Exams

A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:

If 47.2506 = 4A + 7/B + 2C + 5/D + 6E, then the value of 5A + 3B + 6C + D + 3E is;

There are 8 Orange, 6 White and 7 Black pens in a Parul Bag. Parul picked up randomly a pen. What is the probability that it is neither orange nor white?

Find the next term in the series 123, 129, 141, 147, ______

The largest number that exactly divides each number of the sequence (15-1),(25-12),(35-3),…….,(n5-n), ……..is :

(94)2 + (?)2 = (145)2- (56)2- 3869 //

The present population of a country estimated to be 10 crores is expected to increase to 13.31 crores during the next three years. The uniform rate growth is :

The simple interest in 14 months on a certain sum at the rate of 6 per cent per annum is F 250 more than the interest on the same sum at the rate of 8 per cent in 8 months. How much amount was borrowed?

A truck covers a distance of 550 metres in 1 minute whereas a train covers a distance of 33 kms in 45 minutes. What is the ratio of their speed?

7 person can do a piece of work in 21 days. How many persons are required to do a piece of work in 3 days?

An iron cube of side 10 cm is hammered into a rectangular sheet of thickness 0.5 cm. If the sides of the sheet are in the ratio 1 : 5, the sides are:

If the price of petrol increases by 25% and Raj intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased?

In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quanity of water to be further added is:

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?

of 7.26 – 0.45 of ? =

5 years ago the average age of 4 members was 46 years. A new person joins them now and the average age of all the five members is 50 years. Then the age of new member is

What is the value of (7-14 - 7-15)

415% of 620 =?  

The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

a, b, c, d be real numbers in G.P. If u, v,w satisfy the equations u + 2v + 3w = 6; 4u + 5v + 6w = 12; 6u + 9v = 4 then roots of the equations (1/u + 1/v + 1/w)x2 + [(b − c)2 + (c − a)2 + (d − b)2]x + u + v + w = 0 and 20x2 + [10(a − d)2]x − 9 = 0 are

Let x and y be consecutive integers. Suppose m be the number of solutions of x3 − y3 = 3k2 and n be the number of solutions of x3 − y3 = 2t2,where k, t are integers. Then m + n equals:

Given the quadratic equation x2- (A - 3) x - (A - 2), for what value of A will the sum of the squares of the roots be zero?

2x x 81/5 = 21/5, then x is equal to:

Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

The currencies in countries X and Y are denoted by Xs. and Ys. respectively. The exchange rate in 1990 was 1 Xs. = 0.6 Ys. The price level in 2006 in X and Y are 150 and 400 respectively with 1990 as a base of 100. The exchange rate in 2006, based solely on this purchasing power parity consideration, is 1 Xs.=

960 839 758 709 ? 675

After successive discounts of 12% and 5% an article was sold for Rs. 209. What was the original price of the article?

The number of solutions of x2 - 5|x| + 6 = 0 is

If the perimeter of a rectangle is 90, what is the area of the rectangle?