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Two trains running in opposite directions cross the man standing upon the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is
Albert invested the amount of Rs. 8000 in fixed deposit scheme for 2 years at the compound interest rate 5 p.c.p.a. How much amount will Albert get upon maturity of the fixed deposit?
When he reaches S, he stops. Let Sn be the number of distinct paths of exactly n jumps ending at S. What is the value of S2k, where k is an integer?
A salesman sells two types of trousers: cotton and woollen. A pair of cotton trousers is sold at 30% profit and pair of woollen trousers is sold at 50% profit. The salesman has computed that if he s
In travelling from city A to city B, John drove for 1 hour at 50 mph as well as for 3 hours at 60 mph. What was his average speed for the whole trip?
A and B together can do the piece of work in 30 days. A having worked for 16 days, B finishes remaining work alone in 44 days. In how many days shall B finish entire work alone?
A Techno company has 14 machines of equal efficiency in its factory. The annual manufacturing costs are Rs 42,000 as well as establishment charges are Rs 12,000. The annual output of company is Rs 7
Each person in the group of 110 investors has investments in either equities or securities or both. Exactly 25% of investors in equities have investments in securities, and exactly 40% of investors
A shepherd has 1 million sheep at beginning of Year 2000. The numbers grow by x% (x > 0) throughout the year. A famine hits his village in the next year and many of his sheep die. The sheep popul
A small confectioner bought the certain number of pastries flavoured pineapple, mango and black-forest from bakery, giving for each pastry as many rupees as there were pastry of that type; altogeth
N persons stand upon the circumference of circle at distinct points. Each possible pair of persons, not standing next to each other, sings a two-minute song one pair after the other. If the total ti
A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both, he should invest the money in the ratio:
Consider the following subspaces of U={(x1,x2,x3,x4)^(T): x1=x2=x3} and W={(x1,x2,x3,x4)^(T): x2=x3=0} of R4. Find the basis of U intersection W.
A cistern of capacity 8000 litres evaluates externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:
A man purchases Rs. 20 shares paying 9% dividend. The man desires to have an interest of 12% on his money. The market value of each share is:
Supposing that this payment schedule can be maintained, when will the loan be fully paid? Supposing the same payment schedule, how large a loan could be paid off in exactly 20 years?
The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is:
In regular week, there're 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 for each hour for regular work and Rs. 3.20 for each hours for overtime. If he earns Rs. 432 i
Aquaman Stock has exhibited a standard deviation in stock returns of 0.7, while Green Lantern Stock has exhibited standard deviation of 0.8. The correlation coefficient between stock returns is 0.1
There're two examinations rooms A and B. If 10 students are sent from the A to B, then the number of students in each room is same. If 20 candidates are sent from B to A, then number of students in
A man rows to a place 48 km distant and come back in 14 hours. He finds out that he can row 4 km with stream in the same time as 3 km against the stream. The rate of the stream is:
Let S be the subset of the set of ordered pairs of integers defined recursively by: (0, 0) element of S If (a, b) element of S, then (a+2, b+3) element of S and (a+3, b+2) element of S.
A alone can do the piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With help of C, they completed the work in three days. How much is to be paid to C?
The number of integer solutions of the equation 3x + 6y = 13 is
What were the churches objections to the heliocentric model and why did some suffer persecution, while others did not? Why did Copernicus wait till the end of his life to put forth his ideas of helioc