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If the annual increase in the population be 20% and the present population be 10,000. What will be the population after 3 years hence ?

A builder decided to build a farmhouse in 20 days. He employed 40 men in the beginning and 20 more after 10 days and completed the construction in stipulated time. If he had not employed the additional men, how many days behind schedule would it have been finished?

A rectangular water reservoir is 15 m by 12 m at the base. Water flows into it through a pipe whosecross-section is 5 cm by 3 cm at the rate of 16 m per second. Find the height ot which the water will rise in the reservoirin 25 minutes :

For any natural number p and q (i) p # q = p^3 + q^3 + 3 and p ** q = p^2 + q^2 + 2 and p $ q = |p - q| (ii) Max (p,q) = Maximum of (p,q) and Min (p and q) = Minimum of (p,q) The value of [(4 # 5) $ (14 ** 15)] is :

If sinA+sin^(2)A=1, then find the value of cos^(12)A+3cos^(10)A+3cos^(8)A+cos^(6)A+cos^(4)A+cos^(2)A.

(2sinthetatantheta(1-tantheta)+2sinthetasec^(2)theta)/((1+tantheta)^(2))=?

If sintheta+costheta=sqrt(2)sintheta, then sintheta-costheta=?

Mohan invested an amount of Rs. 15000 at compound interest rate 5% p.a. for a period of 2 years. What amount will receive at the end of 2 years?

A person starts to walk from A at 7 am and reaches at B at 10 am and a person from B starts to walk at 7 am and reaches at A and 1 pm. Find the time at which they will meet.

The average weight of P, Q and R is 45 kg. If the average weight of P and Q is 40 kg and that of Q and R is 43 kg, what is the weight of Q?

A can do a work in 42 days and B in 84 days. If they work on it together for 7 days, then what fraction of work is done?

(1,2) and (3,8) are a pair of a opposite vertices of square. Find the diagonals of the square passing through (1,2):

Find the value of sqrt((1-sintheta)/(1+sintheta)).

There are 10 lamps in a hall.Each one of them can be switched on independently.Find the number of ways in which the hall can be illuminated.

If sintheta+cosectheta=2, then find the value of sin^(5)theta+cosec^(5)theta.

P deposite Rs. 5000 in NSC at 2% per annum and Rs. 2000 in mutual funds at 4% per annum. Find the rate of interest for the whole sum.

The value of 3^(1//3) . 9^(1//18) . 27^(1//81) …. ∞

A screw driver and a hammer currently have the same price. If the price of a screw driver rises by 5% and the price of hammer goes up by3%, then how much more will it cost to buy 3 screw drivers and 3 hammers?

How many numbers between 11 and 111 are the multiples of both 2 and 5 ?

If BD and TD on a sum due certain time hence at a certain rate are ? 72 and ? 60 respectively, find the sum.

A tree increases annually by (1)/(8) th of its height . By how much will it increase after 2 years if stands today 64 cm high?

If 6 men and 8 boys can do a piece of work in 10 days and 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys to do the same type of work will be :

Answers these questions based on the following information. A film library at FTII (Film and Television Institute of India) Pune has 12 distinct CDs on French cinema.Find the number of ways in which these CDs can be distributed among three French students equally.

Answers these questions based on the following information. A film library at FTII (Film and Television Institute of India) Pune has 12 distinct CDs on French cinema. Find the number of ways in which these CDs can be distributed to 6 French students equally.

Answers these questions based on the following information. A film library at FTII (Film and Television Institute of India) Pune has 12 distinct CDs on French cinema. Find the number of ways in which these CDs can be divided into three groups.

If the equation 4x^2+x(p+1)+1=0 has exactly two equal roots, one of the value of p is

The solution of (2x+3)/(2x-1)=(3x-1)/(3x+1)

The ratio between the speeds of two cars is 5:8. If the first car covers 200 km in 2 hours, find the speed of the second car.

Answers these questions based on the following information. A film library at FTII (Film and Television Institute of India) Pune has 12 distinct CDs on French cinema. Find the number of ways in which these CDs can be divided equally equally into two groups.

Answers these questions based on the following information. A film library at FTII (Film and Television Institute of India) Pune has 12 distinct CDs on French cinema. Find the number of ways in which these CDs can be distributed to two French students equally.

Answers these questions based on the following information. A film library at FTII (Film and Television Institute of India) Pune has 12 distinct CDs on French cinema. Find the number of ways in which these CDs can be divided into two groups of 6 CDs, 4 CDs and 2CDs.

Answers these questions based on the following information. A film library at FTII (Film and Television Institute of India) Pune has 12 distinct CDs on French cinema. Find the number of ways in which these CDs can be divided into two groups such that one group has 8 CDs and another one has 4 CDs.

A speaks truth in 60% cases and B speaks truth in 70% cases. The probability that they will say the same thing while describing a single event is:

One of the diagonal of a rhombus is double the other diagonal. The area is 25 sq.cm. The sum of the diagonals is:

Given pq + qr + rp = 0 find (p^(2))/(p^(2)-qr) + (q^(2))/(q^(2) -rp) + (r^(2))/(r^(2) - pq)=?

If a+b+c+d=1 then maximum value of ab+ bc + cd + da

If x=asec^(n)thetaandy=btan^(n)theta, then find the value of theta.

graph of y=x+|x|

Mr Scindia after selling 5.5% stock at Rs. 92 realizes Rs. 32200. Then he invested (1)/(3) of the amount in 4.5% stock at Rs. 92, (2)/(5) of the amount at Rs. 115 in 5% stock and the remaining in 6% stock at Rs. 56. The change in his income is :

If the cost price is 80% of the selling price, then what is the profit percent ?

A wire is in the form of a circleof radius 42 m is cut and again bentin the form of a square . What is the diagonal of the square ?

twofaircoinsaretossed simultaneously . Findthe probabilityof gettingtwoheads .

25 men can reap a field in 20 days. When should 15men leave the work, if the whole field is to be reaped in 35 days after they leave the work?

Express the following percentages as fraction (i) 20% (ii) 30% (iii) 45% (iv) 5(1)/(8)% (v) 155%

Length of river is 40 km. Speed of stream is 3 km/h. Boat takes 6 hours more to return than to go in river. Find the speed of boat in still water.

Find the sum to nterms of the series 3//(1^2xx2^2)+5//(2^2xx3^2)+7//(3^2xx4^2)+dot

If a and b are positive integers, then what is the value of ((alpha)/(HCF(a,b)) ,(b)/(HCF(a,b)))?

The ratio of milk and water in a mixture of 66 ltis 5 : 6. We added 12 ltwater to the mixture, then find the ratio of milk and water

For any natural number p and q (i) p # q = p^3 + q^3 + 3 and p q = p^2 + q^2 + 2 and p $ q = |p - q| (ii) Max (p,q) = Maximum of (p,q) and Min (p and q) = Minimum of (p,q) The value of [(4 # 5) $ (14 15)] is :