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If (x^4+1/x^4)=119 then the value of (x^3-1/x^3) is:

When the natural numbers 1,2,3,……., 500 are written, then the digit 3 is used n times in this way. The value of n is:

A reservoiris in the shape of a frustum of a right circular cone. It is 8 m across atthe top and 4 m across at the bottom. If it is 6 m deep, then its capacity is176\ m^3(b) 196\ m^3(c) 200\ m^3(d) 110\ m^3

How many natural numbers upto 1155 are divisible by either 5 or 7 but not by 11?

Anu can complete a work in 10 days. Manu is 25% more efficient than Annu and Sonu is 60% more efficient then Manu. Working together, how long would they take to finish the job?

Answer these questions independently of each other. In how many ways can 12 soldiers stand in two queue such that each queue has 6 soldiers?

A letter lock consists of 4 rings, each ring contains 9 non-zero digits. This lock can be opened by setting a 4 digit code with the proper combination of each of the 4 rings. Maximum howmany codes can be formed to open the lock?

Findthe probabilityof gettinga headin a throwof acoin .

Let f(x+(1)/(x))=x^(2)+(1)/(x^(2)),(xne0), then f(x) is equal to :

Find the value of k so that the sum of the roots of the quadratic equation is equal to the product to the roots : (k+1)x^(2)+2kx+4=0

Rs. 3960 are divided among A, B and C so that half of A's part, one -third of B's part and one sixth of C's part are equal. Then C's part is

If 22^3 + 23^3 + 24^3 + …. + 87^3 + 88^3 is divided by 110 then the remainder will be :

The sum of n terms of the series 3/(1^2 * 2^2) + (5)/(2^2* 3^2) + (7)/(3^2 * 4^2) + … is :

33 men can do a job in 30 days. If 44 men started the job together and after every day of the work, oneperson leaves. What is the minimum number of days required to complete the whole work?

A sells an article to B at profit of 20% . B sells it to C at 10% profit and C sells it to D at 12(1)/(2)% profit. If D has paid Rs 29.70 then at what price A had purchased it ?

Evaluate 245 xx 367.

Convert (0.03125)_(10) to base 16.

If the area of the trapezium, whose parallel sides are 6 cm and 10 cm is 32 sq. cm, what will be the distance between the parallel sides?

If 2^(x+3) cdot 2^((2)(2x - 5)) = 2^(3x + 7), then the value of x is :

Find the area of quadrilateral formed by joining the points (-4,2) , (1,-1) ,(4,1) and (2,5) :

How many positive integral solutions exist for : ab+cd = a+b+c+d, where 1 le a le b le c le d?

Find the sum to n terms of the series 1+ (1+2) + (1+2+3) + (1+2+ 3+ 4) + ….:

Ifthe string length of n is wound on the exterior four walls of a cube of side a cm starting at point C and ending at point D exactly above C , making equally spaced 4 turns . The side of the cube is :

A person sold (1)/(3) article at profit of 14 % (3)/(5),articles at profit of 17(1)/(2)% and rest at profit of 20%. Find his total profit %.

By selling 18 chocolates, a vendor loses the selling price of 2 chocolates. Find his loss per cent.

Two horses were sold at Rs 1710. First was sold at 10% loss and second at 25% profit. If the cost price of first horse is equal to selling price of second horse. Find the over all profit or loss in rupees.

A trader mixes 14 kg rice of variety A which costs ₹ 60/kg with 18 kg of quantity of type Brice. He sells the mixture at ₹ 65/kg and earns a profits of (100)/(3)%. Then what was thecost price of type B rice.

Pumima borrowed a sum of money and returned it in three equal quarterly instalments of ₹ 17576 each. Find the sum borrowed, if the rate of interest charged was 16% per annum compounded quarterly. Find also the total interest charged:

Atleast what number must be subtracted from 434079 so that is becomes divisible by (or multiple of 137) ?

A fruit seller buys 300 oranges at 5 for ₹ 8 and sold at 2 for ₹ 5. Find: profit or loss on selling one orange

Three bells ring simultaneously at 11 am. They ring at regular intervals of 20 minutes, 30 minutes, 40 minutes respectively. The time when all the three ring together next is :

A wrist watch which is running 12 minutes late on a Sunday noon is 16 minutes ahead of the correct time at 12 noon on the next Sunday. When is the clock 8 minutes ahead of time?

Rs. 6800 is to be paid in two equal installments at C.I. Find each installment if the rate of interest is 12.5%.

If theta be an acute angle and 7 sin^(2) theta + 3 cos^(@) theta = 4 , then the value of tan theta is

Find the number of permutations that can be made from the letters of the word 'OMEGA'.E being always in the middle.

prove that x^(logy-logz).y^(logz-logx).z^(logx-logy)=1

The side of a square shaped garden is 20 m. Find the: (a) area of the garden (b) perimeter (or boundary) of the garden (c)maximum possible distance between any two corners of the garden.

Given that 3.718 = (1)/(0.2689) then (1)/(0.0003718) is equal to

IF a +b+c= 21what is the totalnumberof positiveintegral solutions ?

If f(x) is divided by (2x+3), then the remainder is :

Rs.800 becomes Rs.956 in 3 years at a certain rate of simple interest. If the rate of interest is increased by 4%, what amount will Rs.800 become in 3 years?

For any positive real number R, [R] is the greatest interger less than or equal to R, then the value of [R/2] + [(R + 1)/(2)] is :

The value of [1/(log_(a//b)x) + 1/(log_(b//c)x) + 1/(log_(c//a) x)] is:

840.003-5-23.999 = ?

ajayand hiswifekajal, theprobabilityof ajay 's sectionis 1/7andtheat ofhiswifekajal's sectionis 1/5 . Whatis theprobabilitythatatleastoneof themwill beselected ?

A husband and wife appear in an interview for two vacancies for thesame post. The probability of husbands selection is 1/7 and that of wifesselection is 1/5. What is the probability thatBoth of them will be selected?Only one of them will be selected?None of them will selected?

A husband and wife appear in an interview for two vacancies in the same post. The probability of husband's selection is 1/5 and that of wife's selection is 1/3. What is the probability that only one of them will be selected ?