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Divide the following: (i) 0.81 . **. 9 (ii) 1.2875 . ** . 25 (iii) 0.00049 +7

B is twice efficient as A and A can do a piece of work in 15 days. A started the work and after a few days B joined him. They completed the work in 11 days, from the starting. For how many days they worked together?

9^(3//2) div (243)^(-2//3) simplifies to:

If a^(2) +b^(2) +c^(2) = ab + bc + ca then (a+b)/(c ) + (b+c)/(a) + (c+a)/(b)=?

A dishonest dealer professes to sell his goods at cost price by using a false weight and thus gains 11(1)/(9)% For weighing a kilogram, he uses a weight of

If sintheta and costheta are roots of equation ax^(2) + bx + c =0, then

A man bought 13 shirts of Rs. 50 each, 15 pants of Rs. 60 each and 12 pairs of shoes at Rs. 65 a pair. Find the average value of all the article

The sum of squares of first ten natural numbers is :

The two pie charts show the market share of different companies which produces TV and Refrigerator (noth) in the first quarter of 2005-06. Which of the following cann't be deduced from the given data :

Find maximum value of sin^(8)theta+cos^(14)theta.

Twodiceare rolledsimultaneously . Find theprobability of gettinga total sumof 9 .

Total number of ions produced by Tollen's reagent on ionisation are

If selling price is doubled, the profit triples. Find the profit percent

Find the number of terms in 4xyz-(3)/(x^(2))+6xyz^(2)-5z^(3)+6x:

Which of the following is/are true? (i) 43^3 - 1 is divisible by 11 (ii) 56^2 + 1 is divisible by19 (iii) 50^2 - 1 is divisible by 17 (iv) (729)^5 - 729 is divisible by 5

If alpha, beta are the roots of ax^(2)+bx+c=0 and alpha+k, beta+k are the roots of px^(2)+qx+r=0, then k=

If x = 3 + 3^(2//3)+3^(1//3), then the value x^3-9x^2+18x-12 is :

The ratio between the sides of a room is 5:3 . The cost of white washing the ceilingof the room at 50 per squaresm is Rs. 270 and the cost of the paperingthe walls at 10 P per square metre is Rs. 48 . The height of the room is :

Aboat's speed in still water is 5 km/h. While river is flowing with a speed of 2 km/h and time taken to cover a certain distance upstream is 2 h more than time taken to cover the same distance downstream. Find the distance

A mini bus takes 6 hours less to cover 1680 km distance if its speed is in creased by 14 km/h?What is the usual time taken by mini bus?

A is thrice as efficient as B.If B takes 8 days more than A, what is the number of days taken by A to finish the whole work, alone?

A man sells two wrist watches one at a profit of 10% and another at a loss of 10%, but the selling price of each watch is Rs. 200. Find the : (1) percentage profit or loss. (2) net amount of profit or loss.

The pressure of a definite mass of a gas is directly proportional to the temperature and inversely proportional to the volume under the given conditions. If temperature is increased by 40% and the volume is decreased by 20% then the new pressure will:

A and B are running on a circular track at a rate of 44 m/min and 22 m/min respectively. They start on the same point and run in opposite directions. The diameter of the track is 140 m. When they both meet for the 12th Time, what is the distance that A would have covered over B?

The number of ways in which 5^7 can be expressed as a product of three factors:

Find the values of the following expression. (3-4sin^2theta)/cos^2theta+tan^2theta

Selling price of a shirt and a coat is ₹ 4000. The cost price of a shirt is 58.33% of the cost price of a coat and so amount of profit on both the shirt and coat is same , then the price of the shirt could be :

A person bought 9 articles for Rs 5. At what price his should sell 100 articles to get the profit of 8%.

If (cos^(2)theta)/(cot^(2)theta-cos^(2)theta)=3and0^(@)ltthetalt90^(@), then find the value of theta.

If a,b,c are three consecutive integers, then log(ac+1) has the value:

If sintheta+costheta=pandsectheta+cosectheta=q, then q(p^(2)-1)=?

Out of 3 books on Economics, 4 books on Corporate Strategy and 5 books on Philosophy what is the number of different collections of books if atleast one book on each subject is taken ?

Outof 3bookson Economics, 4 booksoncorpora'sstrategyand 5 booksonphilosophy, howmany collectionconsisitsof exactlyone bookon eachsubject?

Instead of multiplying a number by 0.72, a student multiplied it by 7.2. If his answer was 2592 more than the correct answer, then the original number was

3/4th of 2/3rd of 1/5th of a number is 249.6. What is 50% of that number?

The ratio of number of male and female in a bus is 3 : 1. 16 passengers got down and 6 females got into the bus, then ratio becomes 2 : 1. Find the total number of passengers in the bus initially.

The total number of integers between 100 and 200, which are divisible by both 9 and 6. is :

A can do a piece of work in 14 days while B can do it in 28 days. In how many days, working together will they complete the whole work?

If 1, omega, omega^2 be the cube roots of unity, then the value of (1 - omega + omega^2)^(5) + (1 + omega - omega^2)^5 is :

If x= (2sqrt6)/(sqrt3+sqrt2)then the value of (x+sqrt2)/(x-sqrt2)+(x+sqrt3)/(x-sqrt3) is

What is the remainder when ((67^67)+67) is divided by 68. (A)1 (B) 63 (C) 66 (D) 67

What annualinstalment will discharge a debt of Rs 1092 due in 3 years at 12% simpleinterest?

A bag contains 6 red and 9 blue balls. Two successivedrawing of four balls are made such that the balls arenot replaced before the second draw. Find the probability that the first draw gives 4 red balls and second draw gives 4 blue balls.

Find the value of x and y respectively forlog_10(x^2y^3)=7 and log_10(x//y)=1:

Two horses start trotting towards each other, one from A to B and another from B to A. They cross each other after one hour and the first horse reaches B, 5/6 hour before the second horse reaches A. If the distance between A and B is 50 km. What is the speed of the slower horse?

Divide the following: (i) 0.81 . . 9 (ii) 1.2875 . . 25 (iii) 0.00049 +7