TANCET, XAT, CAT Question Bank : March 2003

1. March 03, 2003 ›  Find the area of the triangle whose vertices are (-6, -2), (-4, -6), (-2, 5). More »
   
   
2. March 04, 2003 ›  If (x + 2) ² = 9 and (y + 3) ² = 25, then the maximum value of x / y is. Solution »
   
   
3. March 05, 2003 ›  How many words can be formed by re-arranging the letters of the word ASCENT such that A and T occupy the first and last position respectively? Solution »
   
   
4. March 06, 2003 ›  Average cost of 5 apples and 4 mangoes is Rs. 36. The average cost of 7 apples and 8 mangoes is Rs. 48. Find the total cost of 24 apples and 24 mangoes. Solution »
   
   
5. March 07, 2003 ›  The set S of numbers has the following properties: I) If x is in S, then 1/x is in S.
   II) If both x and y are in S, then so is x + y.
   Is 3 in S?
   
   (1) 1/3 is in S.
   (2) 1 is in S.
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6. March 10, 2003 ›  A vendor sells 60 percent of apples he had and throws away 15 percent of the remainder. Next day he sells 50 percent of the remainder and throws away the rest. What percent of his apples does the vendor throw? Solution »
   
   
7. March 12, 2003 ›  If p and q are the roots of the equation x² - bx + c = 0, then what is the equation if the roots are (pq + p + q) and (pq - p - q)? Solution »
   
   
8. March 13, 2003 ›  A man can do a piece of work in 60 hours. If he takes his son with him and both work together then the work is finished in 40 hours. How long will the son take to do the same job, if he worked alone on the job? Solution »
   
   
9. March 17, 2003 ›  When processing flower-nectar into honeybees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 15% water? Solution »
   
   
10. March 18, 2003 : Inequality › Solve for real 'x' if Solution »
    
    
11. March 19, 2003 › When 26854 and 27584 are divided by a certain two digit prime number, the remainder obtained is 47. Which of the following choices is a possible value of the divisor? Solution »
    
    
12. March 21, 2003 ›  Find the value of 1.1! + 2.2! + 3.3! + ......+n.n! Solution »
    
    
13. March 24, 2003 ›  When two dice are thrown simultaneously, what is the probability that the sum of the two numbers that turn up is less than 11? Solution »
    
    
14. March 25, 2003 ›  A piece of equipment cost a certain factory Rs. 600,000. If it depreciates in value, 15% the first year, 13.5 % the next year, 12% the third year, and so on, what will be its value at the end of 10 years, all percentages applying to the original cost? Solution »
    
    
15. March 26, 2003 ›  A group of workers can do a piece of work in 24 days. However as 7 of them were absent it took 30 days to complete the work. How many people actually worked on the job to complete it? Solution »
    
    
16. March 27, 2003 ›  A student finds the average of 10 positive integers. Each integer contains two digits. By mistake, the boy interchanges the digits of one number say ba for ab. Due to this, the average becomes 1.8 less than the previous one. What was the difference of the two digits a and b? Solution »
    
    
17. March 28, 2003 : Inequalities ›  Solve the inequality 3^3x-2 > 1 Solution »
    
    
18. March 31, 2003 ›  A, B and C play cricket. A's runs are to B's runs and B's runs are to C's as 3:2. They get altogether 342 runs. How many runs did A make? Solution »
    
    

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