let the work be 150 units and his maximum efficiency be 1 unit per hour so work done in 8 hours = 2( 1 + 1/2 + 1/4 + 1/8) = 15/4 units Hence total tim...

75k and 75n are the factors , where k and n are coprime to each other . => k,n are the coprime factors of 18000/75= 240. 240 = 24 x 3 x 5 k = 2...

Largest possible remainder among 13 and 17 is 12 .since remainder has to be lesser than divisor So , n [ LCM (13,17)] + 12 221n + 12 < 1000 larges...

Hi Pranshu, The sum of the digits of all the numbers of the form 9k + 1 and 9k + 5 are divisible by 5. Where k is a natural number. Total : 401 number...

Hello Simran14 is the correct answer.

x⁴ - x³ + 2x² -4x -8 = 0 ( x +1) ( x -2) ( x² +4) = 0 x = -1 , 2 ± 2i Two real , two imaginary roots. Probability of getting smallest real r...

Let the price of the the ticket be X. Quoted price : 2Y Profit on quoted price : 2Y - X Profit on 1/2 of quoted price : Y - X 40% of ( 2Y - X) = Y - X...

Alternatively : If all sides of a right angled triangle are natural numbers then inradius is always a natural number . r = ( sum of legs - hypotenuse...

secA - tanA = 1/2 h/b - p/b = 1/2 (h - p )/b = 1/2 ... (1) We know , r = ( p + b - h)/2 ... (2) [ in a right angled triangle. ] from (1) and (2) r = ...

PFA the solution