# Mixed Quantitative Aptitude Questions Set 191

1. Nithish can complete 60% of the work in9 days and Nithish and Kamalesh together can complete half of the work in 4.5 days. If Nithish, Kamalesh and Vijilesh together can complete 40% of the work in 3 days and they are gets the total wages is 1200, then what is the wage of Kamalesh?
100
200
300
400
500
Option D
N = 100/60 * 9 = 15 days

N + K = 100/50 * 4.5 = 9 days

N = 1/9 – 1/15 = 1/22.5 days

N + K + V = 100/40 * 3 = 7.5 days

V = 1/7.5 – 1/9 = 1/45

Work ratio of N, K and V = 1/15:1/22.5:1/45

= 3:2:1

K’s wage = 2/6 * 1200 = Rs.400

2. Arun bought a Bed and the ratio of the marked to cost price of the Bed is 6:5. If the shop offers a discount of 15% on the marked price of the Bed, then what is the profit percentage?

3
2
4
5
6
Option B
MP = 6x

CP = 5x

SP = 6x * 85/100 = 5.1x

Profit percentage = (5.1x – 5x)/5x * 100 = 2%

3. What is the speed of stream if the sum of the speed of boat in still water and stream is 20 kmph and the speed of the boat against stream is 10 kmph.

5
10
15
20
25
Option A
Downstream speed = 20 kmph

Upstream speed = 10 kmph

Stream speed = (20 – 10)/2 = 5 kmph

4. Ratio of the ages of Prem and Prajesh is 3:8 and after 5 years the ratio of the ages of Prajesh to Pranshu is 7:5. If the sum of the ages of Prem, Prajesh and Pranshu is 32 years, then what is the present age of Prem?

5
6
7
8
9
Option B
prem/prajesh = 3/8

Prem + Prajesh + Pranshu = 32

(Prajesh + 5)/(Pranshu + 5) = 7/5

7Pranshu+ 35 = 5Prajesh + 25

3/8 Prajesh + prajeash + (5Prajesh – 10)/7 = 32

117Prajesh = 1872

Prajesh = 16 years

Prem = 3/8 * 16 = 6 years

5. A Ship left 2 h later than the scheduled time. But to reach its destination 2400 km away in time, it had to increase its speed by 33.33% over its usual speed. Find the new increased speed?

400
300
200
100
50
Option A
Let the speed of the plane be 3x

Then new speed = 3x * (133.33/100) = 4x

Then

2400 = (2 * 3x * 4x)/x

x = 100

New speed = 4 * 100 = 400 kmph

6. Two buses leave Delhi for Jammu at 7.00 pm and 8.00 pm respectively and travel at 48 kmph and 63 kmph respectively. How many kilometers from Delhi will the two buses meet?

201.6
209
205
220.7
209.6
Option A
Relative distance = 48

Relative speed = 63 – 48 = 15

Then,

48 = 15 * time

3.2 h = time

Required distance = 3.2 * 63 = 201.6 km

7. Find the sum of speed of boat and stream if the ratio of speed of stream and boat is 1: 7. If a boat covers 120 km upstream and downstream in 3.5 h.

70
80
90
100
110
Option B
The ratio of speed of stream and boat = 1: 7 (x, 7x)

[120/(7x – x)] + [120/(7x + x)] = 3.5
35/x = 3.5

x = 10

Required sum = 8 * 10 = 80 kmph

8. Person1 lend Rs.X and obtained Rs. 780 at 13% per annum for 3 years.Person2 lend Rs.Y and obtained Rs. 1020 at 17% per annum for 2 years. Then find the simple interest obtained on x + y for 6 years at 7% per annum.

2000
2100
2200
2300
2400
Option B
SI = pnr/100

780 = x * 3 * 13/100

x = 2000

1020 = y * 2 * 17/100

y = 3000

Required interest = (2000 + 3000) * 7/100 * 6

= 2100

9. If Rs. 2500 is invested at 20% p.a. compound interest compounded quarterly.Find the amount after one year.

4500
3450
2390
3210
3039
Option E
A = p (1 + r/100)n

A = 2500 (1 + 20/400)4

A = 2500 * 105/100 * 105/100 * 105/100 * 105/100

A = 3039( approx)

10. A water heater can heat the bucket of water in 40 minutes while another takes 45 minutes to heat under. If both heaters are switched on at same instance then how long will it take to heat approximately?
21
22
23
24
25
Option B
Let the two heaters be X and Y . ‘X’ heatss at 40min

‘Y’ at 45min

Together = (x x y)/(x + y)
= (45 x 40)/(45 + 40)
= 45 x 40/85
= 21.1764
= 22 min (approx).