# Mixed Quantitative Aptitude Questions Set 243

1. 8 men and 6 women together can complete a piece of work in 20 days. If the efficiency of a man is 50% more than efficiency of a woman, then find in how many days 12 men and 14 women can complete the same piece of work ?
14 days
12.5 days
90/7 days
90/8 days
18 days
Option D
Efficiency ratio of a man and a woman = 3 : 2
total work =( 8 * 3 + 6 * 2) * 20 = 720 work
days required to complete work by 12 men and 14 women = 720/(12 * 3 + 14 * 2) = 90/8 days

2. A bag contains 72 balls out of which green balls are 28 and orange balls are x and remaining balls are pink. If two balls are randomly picked up from the bag then the probability of getting green ball and a orange ball is 56/213. Find the number of pink balls in that bag ?
14
22
18
25
20
Option E
No. of green balls = 28
no.of orange balls = x
no.of pink balls = 72 – (28 + x) = 44 – x
probability = (28C1) * (xC1)/72C2 = 56/213
28 * x * 2/72 * 71 = 56/213
x = 24
no. of pink balls = 44 – 24 = 20

3. Ranju goes from home to office at speed of (x + 25) km/h and returns with a speed of (x + 10) km/h. If average speed of Ranju for the whole journey is 36 km/h, then find time taken by him to cover a distance of 140 km if his speed is (x + 8) km/h ?
4 hours
5 hours
8 hours
2 hours
6 hours
Option B
2 (x + 25) (x + 10)/x + 25 + x + 10 = 36
x^2 + 10x + 25x + 250 = 36x + 630
x^2 – x – 380 = 0
x = 20, -19
x = 20
time = 140/20 + 8 = 5 hours

4. A and B started a business by investing certain sum in the ratio of 7 : 6 for 5 months and 6 months respectively. If total profit of the business is rs.2840, then find how much amount investment by A in the business ?
3500
3200
4300
4400
2800
Option E
Let investment amount at A and B is 7x and 6x respectively.
profit sharing ratio of A and B = (7x * 5 : 6x * 6) = 35x : 36x
71x = 2840
x = 40
amount invested by A = 40 * 7 = 2800

5. A person purchased rice at rs. 8 rs. 12 and rs.20 per kg in three consecutive years. If he spent rs.2400 each year on rice, then find the approximate average cost per kg paid by him in the given three consecutive years.
12
11
11 19/31
12 19/35
14
Option C
Quantity of rice purchased by him in 1st year = 2400/8 = 300kg
2nd year = 2400/12 = 200 kg
3rd year = 2400/20 = 120 kg
total quantity purchased = 300 + 200 + 120 = 620
total amount paid = 2400 * 3 = 7200
average = 7200/620 = 11 19/31

6. Directions : In each of these questions, two equation (I) and (II) are given. You have both the equations and give answer.
I. x^2 – x – 380 = 0
II. y^2 + 29y + 210 = 0
X > Y
X < Y
X ≥ Y
X ≤ Y
X = Y or no relation.
Option E
I. x^2 – 20x + 19x – 380 = 0
x = 20, -19
II. y^2 + 15y + 14y + 210 = 0
y = -15, -14

7. I. y^2 – 18y + 72 = 0
II. x^2 – 31x + 238 = 0
X > Y
X < Y
X ≥ Y
X ≤ Y
X = Y or no relation.
Option A
I. y^2 – 12y – 6y + 72 = 0
y = 12, 6
II. x^2 – 17x – 14x + 238 = 0
x = 17 , 14

8. I. x^2 – 8√2 + 30 = 0
II. y^2 – 7√2 + 24 = 0
X > Y
X < Y
X ≥ Y
X ≤ Y
X = Y or no relation.
Option E
I. x^2 – 5√2 – 3√2 + 30 = 0
x = 5√2, 3√2
II. y^2 – 4√2- 3√2 + 24 = 0
y = 4√2, 3√2

9. I. x^2 = 1024
II. y = √1764
X > Y
X < Y
X ≥ Y
X ≤ Y
X = Y or no relation.
Option B
I. x^2 = 1024
x = 32, -32
II. y = √1764
y = 42

10. I. y^3 = 2197
II. x^2 + 50 = 275
X > Y
X < Y
X ≥ Y
X ≤ Y
X = Y or no relation.
Option E
I. y^3 = 2197 X > Y
y = 13
II. x^2 = 275 – 50 = 225
x = 15, -15

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