3rd step to ZOHO - Quantitative Aptitude - June 17th 2016

ZOHO-DAY-3(APTITUDE)

QUANTITATIVE APTITUDE

1) A container contains 40 litres of milk.From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container

2) A can contains a mixture of two liquids A and B in the ratio  7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?

3) Two vessels A and B contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8 : 5 ?

4) Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is

5) Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is -.

6) In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?

7) Four people need to cross a rickety rope bridge to get back to their camp at night. Unfortunately they only have one flashlight and it only has enough light left for seventeen minutes . The bridge is too dangerous to cross without the flashlight ,and it's only strong enough to support two people at any given time . Each of the campers walk at different speed . One can cross the bridge in 1 minute ,another in 2 minutes , the third in 5 minutes and slowest one takes 10 minutes to cross . Show how they can make it in 17 minutes.

8) A man bought some toys at the rate of 10 for Rs. 40 and sold them at 8 for Rs. 35. Find his gain or loss percent.

9) The cost price of 10 pens is the same as the selling price of n pens. If there is a loss of 40%, approximately what is the value of n?

10) The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

11) There are two candles of equal lengths and of different thickness. The thicker one lasts of six hours. The thinner 2 hours less than the thicker one. Ramesh lights the two candles at the same time. When he went to bed he saw the thicker one is twice the length of the thinner one. How long ago did Ramesh light the two candles.

12) A boat takes 38 hours for travelling downstream from point A to point B and coming back to point C midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B?

13) A man can row at a speed of 12 km/hr in still water to a certain upstream point and back to the starting point in a river which flows at 3 km/hr. Find his average speed for total journey.

14) The speed of a boat in still water is 10 km/hr. If it can travel 78 km downstream and 42 km upstream in the same time, the speed of the stream is

15) Use 8 exactly eight times to make a 1000.
        a) Using only + - * /
        b) Also allowing root symbols √, exponents ^, factorials !, and decimal points.