- A and B can do a work in 12 days. B and C can do the same work in 20 days. A and C can also do the same work in 30 days. If they all work together in how many days will they complete the work ?
12 days8 days14 days18 days17 daysOption A

LCM of 12, 20 and 30 = 120

efficiency of A and B = 120/12 = 10

efficiency of B and C = 120/20 = 6

efficiency of A and C = 120/30 = 4

2(A + B + C) = 20

A + B + C = 10

time = 120/10 = 12 days - Sujit, Rajat and Sanjay started a partnership business rs.8400 , rs.5000 and rs.6000 respectively. If they invested their capital for 5 months, 6 months and 8 months respectively and total profit of the business is rs. 2000, then how much profit Sanjay got at the end of the year ?
400580420800750Option D

Profit sharing ratio of Sujit, Rajat and Sanjay = (8400 * 5) : (5000 * 6) : (6000 * 8) = 7 : 5 : 8

profit of Sanjay = 2000/20 * 8 = 800 - Total income of A, B and C is rs.9400. If A’s income is 4/5th of B’s income and B’s income is 3/4th of C’s income, then find the income of A.
18002200280024003500Option D

A/B = 4/5

B/C = 3/4

by balancing, A/B = 4 *3/5 *3 = 12/15

B/C = 3 *5/4*5 = 15/20

ratio of A, B and C = 12 : 15 : 20

A’s income = 9400 * 12/47 = 2400 - Pipes And B together can fill a tank in 20 hours while pipe A alone can fill the same tank in 30 hours. Find how much time taken by B to fill the same tank ?
40 hours30 hours60 hours45 hours50 hoursOption C

LCM of 20 and 30 = 60

let capacity of tank = 60

efficiency of pipe A and B together = 60/20 = 3

efficiency of pipe A = 60/30 = 2

efficiency of pipe B = 3 – 2 = 1

time taken by B to fill the tank = 60/1 = 60 hours - Boat A covers 180 km in downstream in 9 hours. If the speed of boat in still water is 12 km/hr, then find time taken by boat A to cover 96 km in upstream ?
12 hours13 hours22 hours24 hours15 hoursOption D

Downstream speed = 180/9 = 20 km/hr

speed of boat = 12 km/hr

speed of stream = 20 – 12 = 8 km/hr

upstream speed = 12 – 8 = 4 km/hr

time = 96/4 = 24 hours - I. x^2 – 11x – 80 = 0

II. y^2 – 20y + 64 = 0X > YX < YX ≥ YX ≤ YX = Y or no relations.Option E

I. x^2 – 16x + 5x – 80 = 0

x = 16 , -5

II. y^2 – 16y – 4y + 64 = 0

y = 16, 4 - I. x^2 = 196

II. y^2 – 19y + 70 = 0X > YX < YX ≥ YX ≤ YX = Y or no relations.Option E

I. x^2 = 196

x = 14, -14

II. y^2 – 14y – 5y + 70 = 0

y = 14, 5 - I. 3x^2 – 13x + 12 = 0

II. 2y^2 + 14y +12 = 0X > YX < YX ≥ YX ≤ YX = Y or no relations.Option A

I. 3x^2 – 9x – 4x + 12 = 0

3x = 9, 4

x = 3, 1.33

II. 2y^2 + 14y + 12 = 0

2y = -12, -2

y = -6, -1 - I. 2y^2 – 11y + 15 = 0

II. x^2 + 5x + 4 = 0X > YX < YX ≥ YX ≤ YX = Y or no relations.Option B

I. 2y^2 – 6y – 5y + 15 = 0

2y = 6, 5

y = 3, 2.5

II. x^2 + 4x + x + 4 = 0

x = – 4, -1 - I. x^2 – 28 = 36

II. y^3 = 512X > YX < YX ≥ YX ≤ YX = Y or no relations.Option D

I. x^2 = 64

x = 8, -8

II. y^3 = 512

y = 8

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