If then find the value of

What is the sum of \[\frac{{{a}^{2}}}{2}+\frac{{{b}^{3}}}{3}-\frac{{{c}^{3}}}{4};\] \[\frac{2{{a}^{2}}}{3}+\frac{3{{b}^{3}}}{4}-\frac{4{{c}^{3}}}{5}\]and \[{{a}^{2}}+{{b}^{3}}+{{c}^{3}}\]?

The average age of father and his two sons is 39 yeaRs. Nine years ago, the average age of the two sons was 18 yeaRs. If the difference of the ages of the two sons is 6 years then find the present age of the father.

In a bag, there are Rs.288 in the form of 1 rupee, 50 paise and 25 paise coins in the ratio 14:27:18. Find the number of 25 paise coins.

How many kg of Basmati rice costing Rs.45/kg should a shopkeeper mix with 18kg of ordinary rice costing Rs.22/kg so that he can get a profit 20% of on selling the mixture at Rs.42/kg.

If \[\mathbf{x:y=3:8}\], then find the value of \[\left( \mathbf{5x + 7y} \right)\mathbf{ : (8x+ 11y)}\],

The ratio of copper and zinc in an alloy is 6: 5. If the weight of the copper in the alloy is found to be 20.22 gm, then the weight of zinc in the alloy is _________.

If the simple interest on a certain sum of money for 4 years at the rate of per annum is $ 100 then find the compound interest at the same rate for the same period of time.

Compounded ratio of \[(x+y):(x-y),\text{ (}{{x}^{2}}+{{y}^{2}}):{{(x+y)}^{2}}\]and \[({{x}^{2}}-{{y}^{2}}):({{x}^{4}}-{{y}^{4}})\] is:

In an examination 70 % of the candidates passed in English, 65 % in mathematics and 27 % failed in both subjects. The pass percentage was:

Paul buys a radio at 20 % discount and sells it for 20 % more than its value. What will be his % profit?

Ashok loses 15 % by selling a mobile for Rs. 595. At what price must he sell the mobile to earn a profit of 15 %?

If \[\Delta ABC\cong \Delta PRQ,\] then \[\angle B\] and PQ are respectively equal to

DIRECTIONS(Q. 21-23): Awooden cube is painted blue on all the four adjoining sides and green on two oppositesides i.e. top and bottom. It is then cut at equal distances at right anglesfour times vertically (top to bottom) and two times horizontally (along the sides)as shown in the figure, where the dotted lines represent the cuts made. Studythe diagram and answer the following questions: How many cubes will have one face painted only in Green

DIRECTION: Study the following table which shows the production of three different types of cars over the years. Years Production of Car P Production of Car Q Production of Car R 2001 76 59 28 2002 82 62 36 2003 65 47 42 2004 70 54 31 2005 85 57 49 2006 80 68 38 The average production of which of the following types of cars was maximum?