- A vessel contains 48 liters mixture of milk and water in the ratio of 5 : 3. If x liter of water is mixed in this mixture, then the ratio of milk to water becomes 3 : 2. What is the value of ‘x’ ?
43526Option D

Quantity of milk in 48 liter of mixture = 48*5/8 = 30

Quantity of water in 48 liter of mixture = 48*3/8 = 18

30/18+x = 3/2

60 = 54 + 3x

3x = 6

x = 2 - A and B can complete a work alone in 48 days and 40 days respectively. A and B started work in together after 10 days, B left the work then in how many days the total work will be completed ?
1442282236Option E

LCM of 48 and 40 = 240

Total work = 240

efficiency of A = 240/48 = 5

efficiency of B = 240/40 = 6

A and B complete the work in 10days = (5 + 6)10 = 110

remaining work = 240 – 110 = 130

remaining completed by A = 130/5 = 26

Total days required to complete total work = 26 + 10 = 36 days - P sells a mobile to Q at a profit of 25%. Q sells it to R at a profit of 20%. R sells it at a loss of 30% to S. If S days rs.42000 for it, then what is the cost price of the mobile for P ?
5800040000520002000048000Option B

Let, CP of mobile for P = 100x

SP of mobile for P = 100x*125/100 = 125x

CP of mobile for Q = 125x

SP of mobile for Q = 125*120/5 = 150x

CP of mobile for R = 150x

SP of mobile for R = 150x*70/100 = 105x

CP of mobile for S = 105x

S pays = 42000

105x = 42000

x = 42000/105 = 400

CP of mobile for P = 100 * 400 = 40000 - The ratio of speed of boat in still water to that of speed of current is 9 : 5. If the boat can row downstream speed in 8 hours, then what will be time taken by boat to go same distance in upstream speed.
26 hours17 hours28 hours18 shours22 hoursOption C

Let, speed of boat in still water = 9x

and speed of stream = 5x

downstream speed of boat = 14x

upstream speed of boat = 4x

Let distance = D

D/14x = 8, D = 112x

Time = 112x/4x = 28 hours. - Ram and Rahul started the business with investment in the ratio of 4 : 3. Ram and Rahul invest his amount for 14 months and 12 months respectively. What is the profit sharing ratio of Ram and Rahul ?
9 : 75 : 34 : 314 : 93 : 8Option D

Profit sharing ratio of Ram and Rahul = (4*14) : (3*12) = 56 : 36 = 14 : 9 - Directions : In the following questions there are two equations given. you have to solve both the equations and give answer.

I. 3x^2 – 23x + 40 = 0

II. 4y^2 + 17y + 15 = 0X > YX < YX ≥ YX ≤ YX = Y or no relation.Option A

I. 3x^2 – 15x – 8x + 40 = 0

3x = 15 , 8

x = 5 , 2.67

II. 4y^2 + 12y + 5y + 15 = 0

4y = -12 , -5

y = -3 , -1.25 - I. x^2 – 11x + 28 = 0

II. y^2 – 20y + 96 = 0

X > YX < YX ≥ YX ≤ YX = Y or no relation.Option B

I. x^2 – 7x – 4x + 28 = 0

x = 7 , 4

II. y^2 – 12y – 8y + 96 = 0

y = 12 , 8 - I. x^2 + 12x + 32 = 0

II. y^2 + 6y + 8 = 0X > YX < YX ≥ YX ≤ YX = Y or no relation.Option D

I. x^2 + 8x + 4x + 32 = 0

x = -8 , -4

II. y^2 +4y + 2y + 8 = 0

y = -4 , -2 - I. x^2 – 23x + 126 = 0

II. y^2 – 14y + 45 = 0X > YX < YX ≥ YX ≤ YX = Y or no relation.Option C

I. x^2 – 14x – 9x + 126 = 0

x = 14 , 9

II. y^2 – 9y – 5y + 45 = 0

y = 9 , 5 - I. x^2 – x – 12 = 0

II. y^2 + 2y – 8 = 0X > YX < YX ≥ YX ≤ YX = Y or no relation.Option E

I. x^2 – 4x + 3x – 12 = 0

x = 4 , -3

II. y^2 + 4y – 2y – 8 = 0

y = -4 , 2