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Question Bank - July 2003
July 1, 2003 › For what value of 'n' will the remainder of 351^n and 352^n be the same when divided by 7?
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July 2, 2003 › An anti aircraft gun can fire four shots at a time. If the probabilities of the first, second, third and the last shot hitting the enemy aircraft are 0.7, 0.6, 0.5 and 0.4, what is the probability that four shots aimed at an enemy aircraft will bring the aircraft down?
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July 3, 2003 › Two merchants sell, each an article for Rs.1000. If Merchant A computes his profit on cost price, while Merchant B computes his profit on selling price, they end up making profits of 25% respectively. By how much is the profit made by Merchant B greater than that of Merchant A?
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July 7, 2003 › A sample of x litres from a container having a 60 litre mixture of milk and water containing milk and water in the ratio of 2 : 3 is replaced with pure milk so that the container will have milk and water in equal proportions. What is the value of x?
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July 8, 2003 › Three friends A, B and C run around a circular track of length 120 metres at speeds of 5 m/s, 7 m/sec and 15 m/sec, starting simultaneously from the same point and in the same direction. How often will the three of them meet?
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July 9, 2003 › How long will it take for a sum of money to grow from Rs.1250 to Rs.10,000, if it is invested at 12.5% p.a simple interest?
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July 10, 2003 › A merchant marks his goods in such a way that the profit on sale of 50 articles is equal to the selling price of 25 articles. What is his profit margin?
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July 11, 2003 › For what values of 'x' will the function  be defined in the real domain?
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July 14, 2003 › Find the sum of all the integers which are multiples of 7 and lie between 200 and 400.
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July 15, 2003 › Find the coordinates of the point which divides the line joining (5, -2) and (9, 6) internally in the ratio 1 : 3.
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July 16, 2003 › The average weight of a class of 24 students is 36 years. When the weight of the teacher is also included, the average weight increases by 1kg. What is the weight of the teacher?
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July 21, 2003 › How many digits will the number 3^200 have if the value of log 3 = 0.4771?
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July 22, 2003 › A merchant marks his goods up by 75% above his cost price. What is the maximum % discount that he can offer so that he ends up selling at no profit or loss?
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July 23, 2003 › A and B enter in to a partnership and A invests Rs. 10,000 in the partnership. At the end of 4 months he withdraws Rs.2000. At the end of another 5 months, he withdraws another Rs.3000. If B receives Rs.9600 as his share of the total profit of Rs.19,100 for the year, how much did B invest in the company?
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July 24, 2003 › A person starts multiplying consecutive positive integers from 20. How many numbers should he multiply before the will have result that will end with 3 zeroes?
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July 25, 2003 › If A and B are independent events and P(A) = 0.35 and P(A U B) = 0.75, what is P(B)? Solution »
July 28, 2003 › What is the minimum number of square marbles required to tile a floor of length 5 metres 78 cm and width 3 metres 74 cm?Solution »
July 29, 2003 › The sum of the first and the 9th of an arithmetic progression is 24. What is the sum of the first nine terms of the progression?Solution »
July 30, 2003 › What number should be subtracted from x^3 + 4x^2 – 7x + 12 if it is to be perfectly divisible by x + 3?Solution »
July 31, 2003 › A 5 cm cube is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the larger cube to that of the sum of the surface areas of the smaller cubes?Solution »
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