# Mixed Quantitative Aptitude Questions Set 216

1. 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’ ?
4
3
5
2
6
Option 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

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 ?
14
42
28
22
36
Option 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

3. 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 ?
58000
40000
52000
20000
48000
Option 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

4. 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 hours
17 hours
28 hours
18 shours
22 hours
Option 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.

5. 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 : 7
5 : 3
4 : 3
14 : 9
3 : 8
Option D
Profit sharing ratio of Ram and Rahul = (4*14) : (3*12) = 56 : 36 = 14 : 9

6. 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 = 0
X > Y
X < Y
X ≥ Y
X ≤ Y
X = 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

7. I. x^2 – 11x + 28 = 0
II. y^2 – 20y + 96 = 0
X > Y
X < Y
X ≥ Y
X ≤ Y
X = 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

8. I. x^2 + 12x + 32 = 0
II. y^2 + 6y + 8 = 0
X > Y
X < Y
X ≥ Y
X ≤ Y
X = 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

9. I. x^2 – 23x + 126 = 0
II. y^2 – 14y + 45 = 0
X > Y
X < Y
X ≥ Y
X ≤ Y
X = 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

10. I. x^2 – x – 12 = 0
II. y^2 + 2y – 8 = 0
X > Y
X < Y
X ≥ Y
X ≤ Y
X = 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