Quant Problems Question Bank - June 2003

1. June 2, 2003 ›  P can give Q a start of 20 seconds in a kilometer race. P can give R a start of 200 meters in the same kilometer race. And Q can give R a start of 20 seconds in the same kilometer race. How long does P take to run the kilometer? Solution »
   
   
2. June 3, 2003 : Progressions ›  A gentleman buys every year Bank's cash certificates of value exceeding the last year's purchase by Rs. 300. After 20 years, he finds that the total value of the certificates purchased by him is Rs. 83,000. Find the value of the certificates purchased by him in the 13^th year. Solution »
   
   
3. June 4, 2003 : Coordinate Geometry ›  From the following choices what is the equation of a line whose x intercept is half as that of the line 3x + 4y = 12 and y intercept is twice as that of the same line. Solution »
   
   
4. June 5, 2003 ›  I travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours. How long did the first part of my journey last? Solution »
   
   
5. June 6, 2003 ›  How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters? Solution »
   
   
6. June 10, 2003 ›  How many different factors are there for the number 48, excluding 1 and 48? Solution »
   
   
7. June 11, 2003 : AP & GP ›  The sum of the first 50 terms common to the Arithmetic Progression 15, 19, 23..... and the Arithmetic Progression 14, 19, 24..... is Solution »
   
   
8. June 12, 2003 ›  The average age of a family of 5 members is 20 years. If the age of the youngest member be 10 years then what was the average age of the family at the time of the birth of the youngest member? Solution »
   
   
9. June 13, 2003 ›  X alone can do a piece of work in 15 days and Y alone can do it in 10 days. X and Y undertook to do it for Rs. 720. With the help of Z they finished it in 5 days. How much is paid to Z? Solution »
   
   
10. June 16, 2003 ›  How many litres of a 12 litre mixture containing milk and water in the ratio of 2 : 3 be replaced with pure milk so that the resultant mixture contains milk and water in equal proportion? Solution »
    
    
11. June 17, 2003 ›  What is the remainder when 9^1 + 9^2 + 9^3 + .... + 9^8 is divided by 6? Solution »
    
    
12. June 18, 2003 ›  By walking at 3/4^th of his usual speed, a man reaches office 20 minutes later than usual. What is his usual time? Solution »
    
    
13. June 19, 2003 ›  In how many ways can the letters of the word EDUCATION be rearranged so that the relative position of the vowels and consonants remain the same as in the word EDUCATION? Solution »
    
    
14. June 20, 2003 ›  A clock loses 1% time during the first week and then gains 2% time during the next one week. If the clock was set right at 12 noon on a Sunday, what will be the time that the clock will show exactly 14 days from the time it was set right? Solution »
    
    
15. June 23, 2003 ›  An experiment succeeds twice as often as it fails. What is the probability that in the next 5 trials there will be four successes? Solution »
    
    
16. June 24, 2003 ›  If each interior angle of a regular polygon is 150 degrees, then it is Solution »
    
    
17. June 25, 2003 ›  The sum of the first 100 numbers, 1 to 100 is divisible by Solution »
    
    
18. June 26, 2003 ›  The average of 5 quantities is 10 and the average of 3 of them is 9. What is the average of the remaining 2? Solution »
    
    
19. June 27, 2003 ›  Ram starts working on a job and works on it for 12 days and completes 40% of the work. To help him complete the work, he employs Ravi and together they work for another 12 days and the work gets completed. How much more efficient is Ram than Ravi? Solution »
    
    
20. June 30, 2003 ›  A gives B a start of 30 seconds in a km race and still beats him by 20 m. However, when he gives B a start of 35 seconds, they finish the race in a dead heat. How long does A take to run the km? Solution »
    
    

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