April 2018

A and B run a 1.5-kilometer race. In the first heat, A gives B a start of 11 meters and beats him by 57 seconds. In the second heat, A gives B a start of 81 seconds and is beaten by 88 meters. Find the rate of A in km/hr.

In a prison camp, 100 soldiers have been given provisions good only for 10 days. If five soldiers die every day, except on the first day, in how many days will the provisions last?

The distance between the centers of the three circles which are mutually tangent to each other externally are 10, 12, and 14 units. Find the area of the smallest circle.

How many different fractions less than 1 can be formed using the numbers 2, 3, 5, 7, and 9?

If the value of the piece of property decreases by 10% while the tax rate on the property increases by 10%, what is the effect on the taxes?

In the CE Board examinations (there are 3 subjects in CE Board), the probability that an examinee will pass in each subject is 0.80. What is the probability that the examinee will pass at least two subjects.

If the population of a city increases by 10% each year, during which year will the population doubled?

A and B compete in a race. A runs at a constant rate of 126 m/min while B runs 145 m the first minute, 143 m the second minute, 141 m the third minute and so on. When will A and B be together again?

In an organization there are CE’s, GE’s and ME’s. The sum of their ages is 2160; the average age is 36; the average age of CE’s and GE’s is 39; the average age of GE’s and ME’s is 32 and 8/11; the average age of the CE’s and ME’s is 36 and 2/3. If each CE had been 1 year older, each GE 6 years and each ME 7 years older, their average age would have been greater by 5 years. Find the number of CE in the group and their average ages.