QUESTION

On a circular track of 840 m, A, B and C start together from the same point. A runs at 6 m/s and B at 9 m/s in opposite directions. C runs at 12 m/s in the same direction as A. Counting meetings up to and including the 30-minute mark (but not the start), find the total number of times C meets A and C meets B.

QUESTION

In an election between two candidates, 10% of registered voters did not vote, and 5% of the votes cast were invalid. The winner got 55% of the valid votes and won by 1,539 votes. Find the number of registered voters.

QUESTION

A rectangular park of 40 m x 30 m has a path of uniform width all around it on the outside. The cost of paving the path at Rs 25 per sq m is Rs 7,400. Find the perimeter (in m) of the outer boundary of the path.

QUESTION

In a 1200 m race, A beats B by 150 m or by 30 seconds. C is 20% slower than B. By how many seconds does A beat C?

QUESTION

A committee of 5 is to be chosen from 6 men and 5 women such that it has at least 2 women. In addition, a particular man M and a particular woman W cannot both be on the committee. In how many ways can the committee be formed?

QUESTION

The incomes of A and B are in the ratio 7 : 5 and their expenditures are in the ratio 5 : 3. A saves Rs 7,000 and B saves Rs 9,000. Find the total income of A and B together (in Rs).