While we add 4 to the numerator of the fraction and increases denominator by 50% then both become equal. When the numerator is increased by 5 and denominator is doubled then it becomes equal to the original fraction. What will be two times of that fraction ?
Option B Let the numerator and denominator of a fraction be x and y respectively. ATQ, x + 4 = 3y/2 x + 5/2y = x/y by solving two equations, x = 5, y = 6 original fraction = 5/6 required fraction = 5/6 * 2 = 5/3
Two dices are rolled together, then find probability of getting a number of one dice greater than the number on other dice ?
Option C total number of cases = 6 * 6 = 36 total cases of getting same number = (1,1), (2,2), 3,3), (4,4), (5,5), (6,6) = 6 probability = 1 – 6/36 = 5/6
P, Q, R are three inlet pipes. Time taken by P and Q together to fill half of the tank is same as time taken by pipe R alone to fill one-sixth of the tank. If P, Q, R together can fill the tank in 9 hours, then find time taken by pipe R alone to fill the tank ?
Option D ATQ, 2(P+Q) = 6R P + Q = 3R P + Q + R = 1/9 4R = 1/9 R = 36 hours
A man cuts a square field of maximum possible area from his circular field. Find the area of the remaining circular field, if the cost of grass cutting of the square field at rs. 4 per m^2 is rs.882 ?
Option B Let side of square be = a meters radius of circle = r meters area of the square field = 220.5 m^2 diagonal of the square field = 21 m radius of the circular field = 10.5 m area of the circular field = 346.5 m^2 area of the remaining circular field = 126 m^2
Rohit invested rs.1600 on CI for two years at the rate of R% p.a and gets amount of rs.2304. If man invested same sum on SI for same period of time at the rate of ( R – 8)%, then find interest he will get ?