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If the numerator and denominator of a fraction are exchanged then the product of these two fractions becomes equal to 1. The total number of such fractions is :

What is the maximum value f(x)="min "(4-5x, x-3)" for every "x in (0, 4)?

Find the sum of all the co-prime numbers of 336.

If the expenditure of gas on burning 6 burners for 6 hours a day for 8 days is 450, then how many burners can be used for 10 days at 5 hours a day for Rs 625

(25^(26))/(26) find R.

X is 4 times more efficient as Y, then the number of days taken by X and Y are in the ratio :

Walking at the rate of 4 kmph a man covers certain distance in 2hrs 45 min . Running at a speed of 16.5 kmph the man will cover the same distance in how many minutes ?

ABCD is a quadrilateral AC=19 cm. The lengths of perpendicularfrom B and D on AC are 5 cm and 7 cm respectively . Then , the area of ABCD( in cm^(2)) is :

An article was sold at 25% profit. Had it purchased at Rs 20 less and sold at Rs 10 less there would have been profit of 5% more. Find C.P. of article?

Find the number of pairs for (x, y) from the followoing equations : log_(100)|x+y|=(1)/(2) log_(10)y-log_(10)|x|=log_(100)4

(72)^3

A company gives 10% discount on MP and earns 20% profit later on due to increase in CP by 10% and MP is increased by 40%. If discount % is same as before. Find new profit%.

ABCD is a cyclic trapezium whose side AD and BC are parallel to each other. If angle ABC=62^(@) then the measure of the angleBCD is :

If the average of 40 innings of a batsman is 50. If highest and lowest innings are excluded then the average of remaining 38 innings is 48. If the difference between highest and lowest innings is 172 runs. Find his highest and lowest score

Given that (L)/(M)+(M)/(N)+(N)/(L)=0Then, (LN)/(M^(2))+(M^(2))/(LN)-(N^(3))/(L^(3))=?

The expression, for p != 1, (1 + p^(256)) xx (1 + p^(128)) xx (1+ p^(64)) xx (1 + p^(32)) xx (1 + p^(16)) xx (1 + p^8) xx (1 +p^4)(1 + p^2)(1 + p) is equivalent to :

P can do a piece of work in6 days and Q can complete the same work in12 days . What is the number of days required to do the same work together ?

log_(a) (m/n) is equal to:

Let, x be the smallest number, which when added to 2000 makes the resulting number divisible by 12, 16, 18 and 21. The sum of the digits of x is:

Study the following graph carefully and answer the questions that follow What was the approximate average numberof studentsin schoolA over all the years together ?

If the compound interest on a certain sum for 2 years is Rs. 60.60 and the simple interest is Rs. 60, then the rate of interest per annum is

By selling an article for 285 a man loses 5%. For how much should he sell to gain 5%?

Find the value of(26)^3

A perfect square less than 500 is such that when a prime number p_1 is subtracted or another prime number p_2 is added to it in both cases it becomes the perfect square when p_2 = 2+p_1. Then p_1+p_2 is necessarily divisible by :

The total number of divisors of 10500 except 1 and it.

16 men finished one-third work in 6 days. The number of additional men are required to complete the job in next 6 days :

In a triangle ABC, if AB,BC and AC are the three sides of the triangle, then which of the statements is necessarily?

If f(x)=((x-1)/(x+1)), then f(f(ax)) in terms of f(x) is equal to:

A borrowed Rs. 7000 from bank, after 3 years she Returned Rs. 3000 to the bank, After 5 years from starting she returned Rs. 5450 and settle her account. Find the rate of interest.

Let n(A)=3 and n(B)=5, then the number of one - one functions from A to B is

(log_(10) 500000- log_(10)5) is equal to:

Find all the values of x that satisfy the following inequation |(x^2-3x-1)/(x^2+x+1)|lt3

If the roots of ax^(2) + bx + c = 0 (a gt 0) be each greater than unity, then

If 292k +7 = 23l, where (k, l) in 1, then the value of l is:

Income of a person decreased by 3000 Rs. and rate of Income tax increased from 15%t o 18%. The ratio of paid tax is 3 : 2. 26.5%income is tax free. Find initial income.

A right triangle has hypotenuse x cm and one side of length y cm . If x-y=1 cm, find the length of the third side of the triangle.

There are two rectangular fields of same area. The length of first rectangular field is x% less than the length of the secondfield and breadth of the first field is ( 5x)% greater than the breadth of the second field. What is the value of x ?

If alpha,beta,gamma are the roots if the equation x^3-3x+11=0 then the equation whose roots are (alpha+beta),(beta+gamma),(gamma+alpha is

A 100gm packet of grains costs Rs. 7.55, what will be the cost price of 2 1/2kgpacket?

A tap drips at a rate of one drop/sec. 600 drops make 100 ml. The number of liters wasted in 400 days is :

The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, its purchase price was :

Find the average of cubes of first 7 consecutive natural numbers.

An angle is 30^@more than one half of its complement. Find the angle in degrees.