Mixed Quantitative Aptitude Questions Set 245

1. 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 days
8 days
14 days
18 days
17 days
Option 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

2. 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 ?
400
580
420
800
750
Option 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

3. 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.
1800
2200
2800
2400
3500
Option 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

4. 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 hours
30 hours
60 hours
45 hours
50 hours
Option 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

5. 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 hours
13 hours
22 hours
24 hours
15 hours
Option 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

6. I. x^2 – 11x – 80 = 0
II. y^2 – 20y + 64 = 0
X > Y
X < Y
X ≥ Y
X ≤ Y
X = 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

7. I. x^2 = 196
II. y^2 – 19y + 70 = 0
X > Y
X < Y
X ≥ Y
X ≤ Y
X = Y or no relations.
Option E
I. x^2 = 196
x = 14, -14
II. y^2 – 14y – 5y + 70 = 0
y = 14, 5

8. I. 3x^2 – 13x + 12 = 0
II. 2y^2 + 14y +12 = 0
X > Y
X < Y
X ≥ Y
X ≤ Y
X = 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

9. I. 2y^2 – 11y + 15 = 0
II. x^2 + 5x + 4 = 0
X > Y
X < Y
X ≥ Y
X ≤ Y
X = 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

10. I. x^2 – 28 = 36
II. y^3 = 512
X > Y
X < Y
X ≥ Y
X ≤ Y
X = Y or no relations.
Option D
I. x^2 = 64
x = 8, -8
II. y^3 = 512
y = 8

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