Quantitative Aptitude Test - 2

Babulal, Arunlal and Chhagansingh invests Rs.23000, Rs.22000 and Rs.24500 respectively in a business. Babulal withdraws a certain amount after 6 months. Arunlal withdraws Rs.11000 after 7 months, and Chhagansingh withdraws Rs.5500 after 8 months. At the end of the year, they earn a profit of Rs.11543 of which Arunlal gets Rs.3553. Find the amount that Babulal has kept invested in the business for the last 6 months.

A manufacturer supplies 100 mobile phones to an electronics shop every year. Each phone costs Rs.10000 to the manufacturer. 5% products are defective and they are to be replaced without charging anything extra. If the manufacturer still makes a profit of 20% on the manufacturing cost, then at what price is he selling it to the shopkeeper?

The Chemistry professor instructs Amy to prepare a dilute solution of an acid in which the ratio of acid to water is 25 : 11. Amy removes 6 ml of acid from a beaker full of concentrated acid and replaces it with equal amount of water. On finding that the desired ratio is not achieved, she repeats the procedure to get the desired ratio. Find the volume of the beaker.

Six people A, B, C, D, E and F are sitting around a circular table. What is the probability that A and B don’t sit together?

If \(6\) years is subtracted from the present age of Randheer and the remainder is divided by \(18\), then the present age of his grandson Anup is obtained, If Anup is \(2\) year younger than Mahesh whose age is \(5\) Years, then what is the age of Randheer?

Number x is increased by 20% to get number y. Number z is obtained by increasing y by 10%. By what percent should we decrease z to get x?

Two rabbits A and B are running a race of 50 m.  They have to reach the 50 m mark and come back to the start point. A runs in a sequence of 2 jumps, in which distance travelled in the first jump is twice that of the other jump and B runs in  a sequence of 3 jumps in which distance travelled in the first jump is 3/2 times that of the distance travelled in the 2nd jump and the distance travelled in the second jump is twice the distance travelled in the third jump. Distance travelled by A in 2 jumps and by B in 3 jumps equals 6 m (which they cover in the same time). In the 2nd race, they reverse their individual sequence of jumps. Who will win the 1st and the 2nd race, if on completing the 50 m mark they turn back and start from the 1st jump?

A ten-digit number is to be formed (without repitition of digits), using all the digits from 0 to 9 such that the number is odd and all the even digits in the number and zero are only at the 1st, 3rd, 5th, 7th and 9th positions from the left. How many such numbers can be formed?

Two pipes A and B can separately fill a cistern in 15 and 20 mins. respectively and waste pipe C can carry off 10 litres per minute. If all the pipes are opened when the cistern is full, it is emptied in 2 hours. How many litres does the cistern hold?

Two tanks A and B have 6 pipes, each which can fill or empty the tank in 2, 3, 4, 5, 6 and 7 hours respectively. Tank A is to be filled in the maximum possible time and tank B is to be filled in the minimum possible time. What is the difference in the time taken to fill tank A and tank B if any three pipes are used as input pipes and the other three are used as output pipes?