# Mixed Quantitative Aptitude Questions Set 223

1. Train A leaves kolkata at 8am and is travelling at a speed of 70 km/hr, 4 hours later another train B leaves kolkata and is travelling in same direction as train A in how many time (in minutes) train B will be 25 km ahead train A, if speed of train B is 100 km/hr ?
475 minutes
610 minutes
340 minutes
620 minutes
368 minutes
Option B
Distance covered by train A in 4 hours = 70 * 4 = 280 km
total distance should be covered by train B from kolkata for ahead 25 km to train A
required time = 280 + 25/100-70 = 305/30 * 60 = 610 minutes

2. In a box there are 3 red balls, 7 white balls and 5 orange balls. If one bottle is drawn at random from the cartoon what is the probability that it is either red balls or white balls ?
2/7
8/9
3/4
5/7
2/3
Option E
probability = (3C1) + (7C1)/15C1 = (3 + 7)/15 = 2/3

3. Two persons A and B alone can do a piece of work in 10 days and 12 days respectively. A and B together worked for 4 days and remaining worked by C alone. If efficiency of C is 20% less than the efficiency of B then find in how many days total work will be completed ?
5 days
8 days
7 days
12 days
6 days
Option B
LCM of 10 and 12 = 60
efficiency of A = 60/10 = 6
efficiency of B = 60/12 = 5
work completed by A and B together in 4 days = (6 + 5)* 4 = 44 work
remaining work = 60 – 44 = 16 work
efficiency of C = 5 * 80/100 = 4
time required to complete the work = 16/4 = 4 work
total time to complete the work = 4 + 4 = 8 days

4. a and B invested rs.2500 and rs.3100 in a business respectively. After 6 months A left the business and C joined with a capital of rs.2200. At the end of 1.5 years the profit received by A and B together is how much percent more or less than that by C ?
125 3/8%
140 10/11%
48 3/5%
152 3/7%
215 3/8%
Option B
Profit sharing ratio of A , B and C = (2500 * 1.5) : (3100 * .5) : (2200 * 1) = 75 : 31 : 44
more % = (75 + 31) – 44/44 * 100 = 140 10/11%

5. Sudha is travelling from point A to B which is 560 km apart with a certain speed. While returning he covers half the distance with 30% less speed than the usual speed and cover the remaining distance with a speed of 140 km/hr. If time taken in both cases is equal, then find the speed of Sudha while going from point A to B ?
75 km/hr
80 km/hr
72 km/hr
84 km/hr
108 km/hr
Option B
Let speed of Sudha while travelling from point A to point B = 10x km/hr
time taken by Sudha while travelling from A to B = 560/10x
time taken by Sudha while returning = 280/7x + 280/140
560/10x = 280/7x + 2
56/x – 40/x = 2
x = 8
speed of Sudha = 10 * 8 = 80 km/hr

6. Directions : What will come in place of questions (?) marks in the following questions below ?
(15)^2 – (18)^2 + 312 = ? + 47
319
120
184
133
166
Option E
225 – 324 + 312 = ? + 47
– 99 + 312 = ? + 47
? = 166

7. ∛1331 + 38% of 1200 – ? = 98.20
421.50
213.40
368.80
254.20
281.20
Option C
11 + 456 – ? = 98.20
? = 368.80

8. 1/14 + 2/7 – 1/42 = ?
2/7
1/3
4/5
3/5
4/7
Option B
(3 + 12 – 1) /42 = ?
? = 1/3

9. 42.30 – (11)^2 + 520 – ? = 218.40
240.80
312.90
422.90
222.90
128.46
Option D
562.30 – 121 – ? = 218.40
? = 222.90

10. 3/4 of 420 + 320 – 4/5 of 215 = ? + 85
420
422
540
325
378
Option E
315 + 320 – 172 = ? + 85
? = 378