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If acos^(3)alpha+3cosalphasin^(2)alpha=m and asin^(3)alpha+3cos^(2)alphasinalpha=n, then (m+n)^(2//3)+(m-n)^(2//3)=?

A took a loan from B of Rs. 960 at 6% on a condition that he would pay it in 4 yearly installments. Out of which first 3 intallment would be (1)/(4) of the principal and the rest amount would be paid in last installment. Find the amount paid by A in the last installment.

The sum of an infinite geometric series is 162 and the sum of its firstnterms is 160. If the inverse of its common ratio is an integer, thenwhich of the following is not a possible first term?108b. 144c. 160d. none of these

A shopkeeper annonces a reduction of 8.33% on all its prices after new year. If a wrist watch earlier for Rs. 2400. How much would it costs now ?

What is the fourth proportional of x ^(2) -y ^(2) , x + y , x -y.

Four consecutive even numbers are such that 3 times of the first number is equal to twice the third number. The sum of all the four numbers is :

A teacher who teaches online at Lamamia wrote a 90 digit positive number 112222333333... in his laptop. Then he inserted a three-digit number between any two distinct digit. Now the new number cannot be perfectly divisible by 11. Find the number of possible values of three digit numbers.

if y=a^(1/(1-log_(a)x)) and z=a^(1/(1-log_(a)y)), then x is equal to:

ABCD is a trapezium , in which AD||BC, E and F are the mid-point ofAB and CD respectively , then EF is :

If each side of a regular decagon is 2 cm, find the area of the decagon.

If the HCF of a and b are 12 , where a,b are positive integers and a gt b gt 12,then what will be the values of a and b?

A takes 24 days more than B and 32 days more than C to complete a work. C works as much as (A + B) works together. In how many days will A, B and C alone complete this work ?

If the graph intersects X-axis at two distinct points, then,the roots are necessarily

If the price of milk falls down by 20%, by how much per cent must a householder increase its consumption, so as not to decrease his expenditure on this item?

For every set of 19 kites sold, a vendor gives 1 kite extra, free of cost. In order to give a discount of 10% the number of extra kites he should give in a sale of 27 kites to the nearest integer is –

At what point of time after 3 O clockhour hand and the minute hand are at right angles for the first time

Average of 13 number is 52. Average of first 7 number is 51. Average of last 7 number is 54. Find 7^(th)number.

A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is (a) 1/3 (b) 2/3 (c) 2/5 (d) 3/5

Let X be any point within a square ABCD. On AX, a square, AXYZ is described such that D is within it. Which one of the following is correct ?

There are twice the number of two wheelers as there are three wheelers and the number of 4 wheelers are equal to the number of two wheelers. The average number of wheel per vehicle is :

19^(n) - 1 is

If O is the incentre of a triangle ABC and angle AOC=124^@, find the angle ABC.

If A.M. and G.M. of two numbers is 10 and 8 respectively then find their H.M.

Each interior angle of a regular polygon is 140^(@). The number sides is :

Find the total number of Prime factors 210.

A sum of Rs 400 would become Rs. 441 after 2 years at r% compound interest , find the value of 'r' :

Solve the following questions on the basis of given data in the following table : The production of rice in 1959-60 is what percentage of rice in 1960-61.A) 86.66%B) 75.6%C)83.33%D) 16.66%

The radius of a circle is 2 cm,what is its curvature?

Simple interest on a certain sum at 7% per annum for 4 years is Rs. 2415. What will be the compound interest on the same principal at 4% per annum in

The difference between simple interest and compound interest of a certain sum of money at 20% per annum for 2 years is Rs. 56. Then the sum is :

What is the interest rate per annum, if a sum of money invested at compound interest amount to Rs. 2400 in 3 years and in 4 years to Rs. 2,520?

How many boys are enrolled in Singing and Craft together ?

How many cubic metresof earth must be dug to make a well 14 m deep and 4m in diameter ?

cos15^(@)=?

Simplify:-36 + 451 ÷11 = ?

If tanalpha=(1)/(7)&tanbeta=(1)/(3), then cos2alpha=?

If a^(x)=b^(y)=c^(z) and abc = 1, then what is the value of xy + yz + zx ?

A bag contains 50p, 25p and 10p coins. The ratio of coins is 5:9:4 and total amount is Rs 206. Then find number of coins.

If log_(10)x^(2) -log_(10)sqrt(y) =1, find the value of y, when x=2

Awell of inner diameter 14 m is dug to a depth of 15 m. Earth taken out of it has been evenly spread all around it to a width of 7 m to form an embankment. Find The height of embankment so formed.

p^-17161=0 q^2+17161=0

How many years will it take for amount of rs. 600 to yield rs. 120 as interest at 10% per annum of S.I.?

Raju went to the market to purchase three pens. The cost of the first pen was more than that of the second by 25% , which was more than that of the third by 20% . If the average cost of the first two pens was Rs. 15 more than of the last two pens, find the cost of the costliest pen.

The value of x for which the unit digits of (2357)^(log_10 x) and (5723)^(x) is same for x > 1.

The sum of first 30 even natural numbers is

A number P when divided by D it leaves the remainder 18 and if another number Q is divided by the same divisor D it leaves the remainder 11. Further if we divide P + Q by D then we obtain the remainder 4. then the common divisor D is: