median is the middle position Now when increase of 10 changes the avg by 2. Hence there are 5 terms. 10, m-4, m , 32, 32 m is in the middle and m-4...

product is an integer, hence x and y must take same value. now first factorize 2016 2016= 63*32 so we can take the above expression as 32k(8^2-p)...

horizontal line is the line connecting 3 and 9. Let's say min hand is at x angle from 3, means it has traveled 90-x degrees. after 8 o clock. and ...

horizontal line is the line connecting 3 and 9. Let's say min hand is at x angle from 3, means it has traveled 90-x degrees. after 8 o clock. and ...

one gains 2.5 mins and other loses 1.5 mins , hence they are 4 mins apart in an hour. So for 120 mins apart, it will take 30 hours.

Anything less than 25% because when length and width are equal then it is 25%. In all the other cases length, which is bigger side has only 20% where...

find lenght of height on biggest side using areathen use similarity to calculate the length of square

(1-6/x)^2 = 25/49 (Ratio of petrol to total is 25/49) from above x= 21

initial contribution p , and number = n , so initial price = pnand final price = 7/6pnfinal contri = p-1 and number of students = n+2...

x-x^2/100 = maximum this is equation of parabola maximum value will occure at -b/2a b= 1, a=-1/100 so at x= -1/(-2/100) = 50

the number of chairs that came out on the up line = number of chairs that went inside on the down lineso chairs on line = (97+61)/2 = 79 , So 18 c...

999^2+999+1000 = 1000^2hence from above when 2000 is added in 999^2 , then we get 1 more than 1000^2 so initial strength is 999 students

square of following numbers9 81 sum of digit in square =9 99 9801 ...

last 2 digits 81 in all the following squares 9, 41, 59, 91, 109 and so onnow square root of 30000 and 50000 is approx 173 and 223 between 173 ...

(22.1875/100)*x = integer (because number of absent students should be an integer value221875/100*10000)*x = integer 71/320)*x = integer hence m...