 # Mixed Quantitative Aptitude Questions Set 159

1. In a vessel, there are two types of liquids A and B in the ratio of 5 : 9. 28 lit of the mixture is taken out and 2 lit of type B liquid is poured into it, the new ratio(A:B) thus formed is 1 : 2. Find the initial quantity of mixture in the vessel?
48 L
67 L
62 L
56 L
50 L
Option D
Let the initial quantity of mixture in vessel be x l
ATQ, [𝑥× 5/14 −10]/[ 𝑥× 9/14 −18+2] = 1/2
⇒[ 5𝑥−140]/[ 9𝑥−224] = 1/2
⇒ 10x – 280 = 9x – 224
⇒ x = 56 L

2. The average weight of 5 students in a class is 25.8 kg. When a new student joined them, the average weight is increased by 3.9 kg. Then find the approximate weight of the new student.
38 kg
32 kg
49 kg
40 kg
43 kg
Option C
Weight of new student = 6 × (25.8 + 3.9) – 5 × 25.8 = 49 kg

3. The difference between downstream speed and upstream speed of boat is 6 km/hr and boat travels 72 km from P to Q (downstream) in 4 hours. Then find the speed of boat in still water?
14 km/hr.
15 km/hr.
11 km/hr.
12 km/hr.
10 km/hr.
Option B
Let the speed of boat in still water be x km/hr and that of stream be y km/hr
ATQ, (x + y) – (x – y) = 6
⇒ 2y = 6
⇒ y = 3 km/hr
Downstream stream = (x + y) = 72/4 = 18 km/hr
⇒ x = 15 km/hr.

4. The sum of four times of an amount ‘x’ and (x – 9.75) is Rs. 442. Find the approximate value of x.
Rs. 50
Rs. 60
Rs. 90
Rs. 80
Rs. 70
Option C
ATQ, 4x + x – 9.75 = 442
5x = 451.75
x = Rs. 90

5. The ratio of age of Ishu 8 years hence and that of Ahana 6 years hence is 5 : 6. The age of Ishu 10 years hence is equal to the age of Ahana 6 years hence. Then, find the present age of Ishu.
6 years
5 years
2 years
3 years
4 years
Option C
Let present age of Ishu & Ahana be x year & y year respectively
ATQ, {𝑥 + 8}/{ 𝑦 + 6} = 5/6
6x + 48 = 5y + 30
6x – 5y = – 18 … (i)
x + 10 = y + 6
x – y = – 4 … (ii)
x = 2 years
Present age of Ishu is 2 years.

6. A train of some length passes the platform of length 524 m in 55 seconds. Find the length of train if the speed of train is 72 km/hr.
515 m
520 m
525 m
576 m
500 m
Option D
Speed of train in m/s. = 72 × 5/18 = 20 m/s
Let length of train be x m
ATQ, 524 + 𝑥 55 = 20 x = 1100 – 524 = 576 m

7. 7 men and 6 women together can complete a piece of work in 8 days and work done by a women in one day is half the work done by a man in one day. If 8 men and 4 women started working and after 3 days 4 men left the work and 4 new women joined then, in how many more days will the work be completed.
6.25 days
3.18 days
6.20 days
5.14 days
4.12 days
Option A
Let efficiency of one women = w unit/day Man’s efficiency = 2w unit/day
Total work = (7 × 2w + 6 × w) × 8 =160w unit
8 men and 4 women start work for 3 days
Total work done = (8 × 2w + 4 × w) × 3 = 60w
4 women replace 4 man = (4 × 2w + 8 × w) =16w
Days required = 100𝑤/16𝑤 = 6.25 days

8. The ratio of the diameter of base and height of a cylinder is 2 : 3. Find the radius of the cylinder if the approximate volume of cylinder is 3234.01 cm³?
9 cm
7 cm
8 cm
6 cm
5 cm
Option B
Let diameter of base be 2x cm & height of cylinder be 3x cm
Radius = 2𝑥/2 = 𝑥 cm
Volume of cylinder = 𝜋𝑟^2ℎ
Now, 𝜋𝑟 ^2ℎ = 3234
=>22/ 7 × 𝑥^2 × 3𝑥 = 3234
=> x = 7 cm = radius

9. What is the difference between 20% of P and 20% of (P + 5000).
1000
1400
1300
1500
1200
Option A
Required difference = 20/100 (P + 5000) – 20/100 × 𝑃 = 1000

10. A and B entered into a partnership by investing some amounts. The investment of A is twice of the investment of B. Another person C joined them after 4 months. At the end of a year, the profit share of A and C is equal. Then find the profit share of B is what percent of the profit share of C.
50%
10%
20%
30%
40%
Option A
Let the Investment of B be Rs. X
Investment of A = Rs 2x
Ratio of profit, A : B : C
12 × 2x : 12 × x : 8 × y
ATQ, 24x = 8y
y = 3x
Required Percentage = (12 × 𝑥)/(8 × 3𝑥) × 100 = 50%

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