August 2002 - Quant/Math - CAT 2013
- August 01, 2002 › There are 12 pipes attached to a tank. Some of them are fill pipes and some are drain pipes. Each of the fill pipes can fill the tank in 12 hours, while each of the drain pipes will take 24 hours to drain a full tank completely. If all the pipes are kept open when the tank was empty, it takes 2 hours for the tank to overflow. How many of these pipes are drain pipes? Solution »
- August 02, 2002 › What is the angle between the minute hand and the hour hand when the time is 1540 hours? Solution »
- August 05, 2002 › What is the longest gap that any person will have to wait between two birthdays? Solution »
- August 06, 2002 › What is the probability that a two digit number selected at random will be a multiple of '3' and not a multiple of '5'? Solution »
- August 07, 2002 › A gives B a start of 10 metres in a 100 metre race and still beats him by 1.25 seconds. How long does B take to complete the 100 metre race if A runs at the rate of 10 m/sec? Solution »
- August 08, 2002 : Compounded Growth › The population of a town was 3600 three years back. It is 4800 right now. What will be the population three years down the line, if the rate of growth of population has been constant over the years and has been compounding annually? Solution »
- August 09, 2002 › In which year was Raghavan born? Solution »
- August 12, 2002 › The sum of the second and the fifth term of an arithmetic progression is 8 and that of the third and the seventh term is 14. What is the first term of the progression? Solution »
- August 13, 2002 › A circle of maximum possible size is cut from a square sheet of board. Subsequently, a square of maximum possible size is cut from the resultant circle. What will be area of the final square? Solution »
- August 14, 2002 › The average monthly salary of 12 workers and 3 managers in a factory was Rs. 600. When one of the manager whose salary was Rs. 720, was replaced with a new manager, then the average salary of the team went down to 580. What is the salary of the new manager? Solution »
- August 16, 2002 › What is the area of the largest triangle that can be fitted into a rectangle of length 'l' units and width 'w' units? Solution »
- August 19, 2002 › A merchant mixes three varieties of rice costing Rs.20/kg, Rs.24/kg and Rs.30/kg and sells the mixture at a profit of 20% at Rs.30 / kg. How many kgs of the second variety will be in the mixture if 2 kgs of the third variety is there in the mixture? Solution »
- August 20, 2002 › 30% of the men are more than 25 years old and 80% of the men are less than or equal to 50 years old. 20% of all men play football. If 20% of the men above the age of 50 play football, what percentage of the football players are less than or equal to 50 years? Solution »
- August 22, 2002 : Compound Interest › A man invests Rs.5000 for 3 years at 5% p.a. compound interest reckoned yearly. Income tax at the rate of 20% on the interest earned is deducted at the end of each year. Find the amount at the end of the third year. Solution »
- August 23, 2002 › A man bets on number 16 on a roulette wheel 14 times and losses each time. On the 15th span he does a quick calculation and finds out that the number 12 had appeared twice in the 14 spans and is therefore, unable to decide whether to bet on 16 or 12 in the 15th span. Which will give him the best chance and what are the odds of winning on the bet that he takes? (Roulette has numbers 1 to 36) Solution »
- August 26, 2002 › Rajiv sold an article for Rs.56 which cost him Rs.x. If he had gained x% on his outlay, what was his cost? Solution »
- August 27, 2002 › Which of the following is not an odd function? Solution »
- August 28, 2002 › A predator is chasing its prey. The predator takes 4 leaps for every 6 leaps of the prey and the predator covers as much distance in 2 leaps as 3 leaps of the prey. Will the predator succeed in getting its food? Solution »
- August 29, 2002 : Stocks & Shares › Which amongst the following investments has the lowest return? Solution »
- August 30, 2002 › How many five digit numbers can be formed using the digits 0, 1, 2, 3, 4 and 5 which are divisible by 3, without repeating the digits? Solution »
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