- 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 ?
2/55/32/74/54/3Option 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 ?
2/37/65/62/54/7Option 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 ?
34 hours42 hours24 hours36 yours40 yoursOption 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 ?
154 m^2126 m^2200 m^2348 m^2180 m^2Option 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 ?
450384420640260Option B

ATQ,

2304 = 1600 ( 1 + R/100)^2

48/40 = ( 1 + R/100)

R = 20%

New rate = (20 – 8) = 12%

required interest = 1600 * 12 * 2/100 = 384 - directions : What will be come in place of questions marks (?) in the following questions given below ?

428, 434, 446, 466, 496 ?620538580650940Option B

The series is, +(2 * 3), +(3 * 4), +(4 * 5), +(5 * 6), +(6 * 7) - 187, 193, 205, ?, 277, 373
198229240350270Option B

The series is (+6), (+12), (+24), (+48), (+96) - 144, 72, 108, 270, ?, 4252.5
320620825945480Option D

The series is, (* .5), (* 1.5), (* 2.5), (* 3.5), (* 4.5) - 81, ? 76, 92, 67, 103
7385657684Option B

The series is, (+ 2^2), (- 3^2), (+ 4^2), (- 5^2), (+ 6^2) - 11, 13, 22, ?, 115, 241
4856755082Option D

the series is, +(1^3 + 1), +(2^3 + 1), +(3^3 + 1), +(4^3 + 1), + (5^3 + 1)