TANCET, XAT, CAT Sample Questions : June 2002

1. June 3, 2002 : Ratio »  Rs.432 is divided amongst three workers A, B and C such that 8 times A's share is equal to 12 times B's share which is equal to 6 times C's share. How much did A get? Solution »
   
   
2. June 4, 2002 »  Calculate 225 * 225, 75 * 75, 145 * 145, 35 * 35, and 375 * 375 Solution »
   
   
3. June 5, 2002 : Simple & Compound Interest »  What will Rs.1500 amount to in three years if it is invested in 20% p.a. compound interest, interest being compounded annually? Solution »
   
   
4. June 6, 2002 »  Four men and three women can do a job in 6 days. When five men and six women work on the same job, the work gets completed in 4 days. How long will a woman take to do the job, if she works alone on it? Solution »
   
   
5. June 7, 2002 : Ratio & Work Done »  If 20 men or 24 women or 40 boys can do a job in 12 days working for 8 hours a day, how many men working with 6 women and 2 boys take to do a job four times as big working for 5 hours a day for 12 days? Solution »
   
   
6. June 10, 2002 »  There are 5 Rock songs, 6 Carnatic songs and 3 Indi pop songs. How many different albums can be formed using the above repertoire if the albums should contain at least 1 Rock song and 1 Carnatic song? Solution »
   
   
7. June 11, 2002 »  What is the total number of different divisors including 1 and the number that can divide the number 6400? Solution »
   
   
8. June 12, 2002 »  How many four digit numbers exist which can be formed by using the digits 2, 3, 5 and 7 once only such that they are divisible by 25? Solution »
   
   
9. June 13, 2002 »  If the price of petrol increases by 25%, by how much must a user cut down his consumption so that his expenditure on petrol remains constant? Solution »
   
   
10. June 14, 2002 »  Calculate 54 * 56, 79 * 71, 152 * 158, 33 * 37 and 111 * 119 Solution »
    
    
11. June 17, 2002 »  A pump can be used either to fill or to empty a tank. The capacity of the tank is 3600 m³. The emptying capacity of the pump is 10 m³/min higher than its filling capacity. What is the emptying capacity of the pump if the pump needs 12 more minutes to fill the tank than to empty it? Solution »
    
    
12. June 18, 2002 »  A takes 3 min 45 seconds to complete a kilometre. B takes 4 minutes to complete the same 1 km track. If A and B were to participate in a race of 2 kms, how much start can A give B in terms of distance? Solution »
    
    
13. June 19, 2002 »  Shyam can do a job in 20 days, Ram in 30 days and Singhal in 60 days. If Shyam is helped by Ram and Singhal every 3^rd day, how long will it take for them to complete the job? Solution »
    
    
14. June 20, 2002 »  Raj invested some amount in ICICI bonds and put Mohan as the nominee. After the sudden death of Raj, Mohan got Rs. 31775 from the bonds. How much did Raj invest in the bonds? Solution »
    
    
15. June 21, 2002 »  A certain number when successfully divided by 8 and 11 leaves remainders of 3 and 7 respectively. What will be remainder when the number is divided by the product of 8 and 11, viz 88? Solution »
    
    
16. June 24, 2002 »  A train travels at an average speed of 90 km/hr without any stoppages. However, its average speed decrease to 60km/hr on account of stoppages. On an average, how many minutes per hour does the train stop? Solution »
    
    
17. June 25, 2002 »  Two trains A and B start simultaneously from stations X and Y towards each other respectively. After meeting at a point between X and Y, train A reaches station Y in 9 hours and train B reaches station X in 4 hours from the time they have met each other. If the speed of train A is 36 km/hr, what is the speed of train B? Solution »
    
    
18. June 26, 2002 »  The closing of small, inexpensive hospitals while large expensive hospitals remain open seems a luxury that we can no longer afford in order to maintain them. Solution »
    
    
19. June 27, 2002 »  Is pq positive? Solution »
    
    
20. June 28, 2002 : Number Properties, Trigonometry »  ‘a’ and ‘b’ are the lengths of the base and height of a right angled triangle whose hypotenuse is ‘h’. If the values of ‘a’ and ‘b’ are positive integers, which of the following cannot be a value of the square of the hypotenuse? Solution »
    
    

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