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 area then 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 = pn and final price = 7/6pn final 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 line so chairs on line = (97+61)/2 = 79 , So 18 c...

999^2+999+1000 = 1000^2 hence 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 numbers 9 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 on now 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 value 221875/100*10000)*x = integer 71/320)*x = integer hence m...