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A wooden box of dimensions 8 m x 7 m x 6 m is to carry rectangular boxes of dimensions 8 cm x 7 cm x 6 cm. The maximum number of boxes which can be carried in the wooden box, is :.
In the town of 10,000 families it was found that 40% family purchase newspaper A, 20% purchase newspaper B and 10% families purchase newspaper C, 5% families purchase A and B, 3% buy B and C and 4%
How does the reduction of Boolean expressions to simpler forms resemble the traversal of a tree, from the Week Four material? What sort of Boolean expression would you end up with at the root of th
There is the certain army composed of dukes, earls, and soldiers. Each duke has under him twice as many earls and there are dukes. Each earl has under him four times and many soldiers as tehere are
Assume f is any non-decreasing function on a bounded interval [a,b]. If Pn is the partition of [a,b] into n equal subintervals, show that U(f,Pn) - L(f,Pn) = [(f(b) - f(a))] / (b-a)/n What do you c
How many seconds will the 500 metre long train take to cross man walking with the speed of 3 krn/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Determine the capacity of the cylindrical tank? The area of the base is 61,600 sq. cm.
Three persons are walking from the place A to another place B. Their speeds are in ratio of 4 : 3 : 5. The time ratio to reach B by these persons will be
Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When tank is empty, all the three (3) pipes are opened. A, B and C discharge chemica
The following table lists numbers of units of raw materials the manufacturer requires for each style. Assume wood costs $5 per unit, nylon costs $3 per unit, velvet costs $4 per unit, and springs co
Find out the singular points of the given differential equation. Classify each singular point as regular or irregular.
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: