Quantitative Aptitude - 49 | SBI | IBPS

Directions (Q.1 - 5): Study the following information carefully and answer the given questions.


In a conference total 240 students are there. Out of them 25% know Latin, 50% know French and 62.5% know English. 10 students know all three languages. 25/3% of students know Latin and French but does not know English and the same number of students know Latin and English but does not know French.

1. How many students are there who know both English and French but do not know Latin?
a) 10
b) 20
c) 30
d) 40
e) 50

2. How many students are there who know only French?
a) 60
b) 90
c) 120
d) 80
e) 75

3. How many students are there who know exactly one language?
a) 240
b) 220
c) 200
d) 180
e) 160

4. How many students are there who know exactly two languages?
a) 60
b) 70
c) 80
d) 90
e) 120

5. How many students know at most two language?
a) 60
b) 70
c) 220
d) 230
e) 240

6. 12 persons are seated at a round table. What is the probability that 3 particular persons sit together?
a) 2/9
b) 4/165
c) 3/55
d) 9/185
e) 4/55

7. In a class of 16 students 9 are boys. How many ways they can sit in a row so that no two of girls sit together?
a) 16!/7! * 9!
b) 15!/9! * 7!
c) 10!/3! * 9!
d) 9!/3! * 7!
e) 3!/10! * 9!

8. A man takes thrice the time to cover upstream when compared to downstream. If the speed of stream is 6km/hr, then what will be his speed in still water?
a) 8 kmph
b) 10 kmph
c) 12 kmph
d) 15 kmph
e) 16 kmph

9. The speed of two trains are in the ratio of 6 : 5. They are running in opposite direction on parallel tracks. If each takes 2 seconds to cross a pole, then how much time they will take to cross each other?
a) 2 seconds
b) 3 secons
c) 4 seconds
d) 6 seconds
e) 5 seconds

10. A certain number of men can do a work in 40 days. If there are 12 men less it could be finished in 4 more days. How many men are there?
a) 64
b) 86
c) 108
d) 132
e) 140

Answers:

1. (c)
2. (a)
3. (e)
4. (b)
5. (d)

6. (c)
7. (c)
8. (c): Let speed of man in still water = x
Now, (x+6) = 3(x-6)
=> x = 12.
9. (a): Time = (2*6 + 2*5)/(6+5) = 22/11 = 2.
10. (d): Number of men = (12*44)/4 = 132.