3i-Infotech Placement Paper 2016

Aptitude Questions

1. If 2x-y=4 then 6x-3y=?
a. 15
b. 12
c. 18
d. 10
Ans. b

2. If x=y=2z and xyz=256 then what is the value of x?
a. 12
b. 8
c. 16
d. 6
Ans. b

3. (1/10)18 - (1/10)20 = ?
a. 99/1020
b. 99/10
c. 0.9
d. none of these
Ans. a

4. Pipe A can fill in 20 minutes and Pipe B in 30 mins and Pipe C can empty the
same in 40 mins.If all of them work together, find the time taken to fill the tank
a. 17 1/7 mins
b. 20 mins
c. 8 mins
d. none of these
Ans. a

5. Thirty men take 20 days to complete a job working 9 hours a day.How many hour
a day should 40 men work to complete the job?

a. 8 hrs
b. 7 1/2 hrs
c. 7 hrs
d. 9 hrs
Ans. b

6. Find the smallest number in a GP whose sum is 38 and product 1728

a. 12
b. 20
c. 8
d. none of these
Ans. c

7. A boat travels 20 kms upstream in 6 hrs and 18 kms downstream in 4 hrs.Find
the speed of the boat in still water and the speed of the water current?

a. 1/2 kmph
b. 7/12 kmph
c. 5 kmph
d. none of these
Ans. b

8. A goat is tied to one corner of a square plot of side 12m by a rope 7m
long.Find the area it can graze?
a. 38.5 sq.m
b. 155 sq.m
c. 144 sq.m
d. 19.25sq.m
Ans. a

9. Mr. Shah decided to walk down the escalator of a tube station. He found
that if he walks down 26 steps, he requires 30 seconds to reach the bottom.
However, if he steps down 34 stairs he would only require 18 seconds to get
to the bottom. If the time is measured from the moment the top step begins
to descend to the time he steps off the last step at the bottom, find out the
height of the stair way in steps?
Ans.46 steps.

10. The average age of 10 members of a committee is the same as it was 4 years
ago, because an old member has been replaced by a young member. Find how much
younger is the new member ?
Ans.40 years.

11. Three containers A, B and C have volumes a, b, and c respectively; and
container A is full of water while the other two are empty. If from container
A water is poured into container B which becomes 1/3 full, and into container
C which becomes 1/2 full, how much water is left in container A?

12. ABCE is an isosceles trapezoid and ACDE is a rectangle. AB = 10 and EC = 20.
What is the length of AE?
Ans. AE = 10

13. In the given figure, PA and PB are tangents to the circle at A and B
respectively and the chord BC is parallel to tangent PA. If AC = 6 cm, and
length of the tangent AP is 9 cm, then what is the length of the chord BC?
Ans. BC = 4 cm.

14. Three cards are drawn at random from an ordinary pack of cards. Find the
probability that they will consist of a king, a queen and an ace.
Ans. 64/2210

15. A number of cats got together and decided to kill between them 999919 mice.
Every cat killed an equal number of mice. Each cat killed more mice than
there were cats. How many cats do you think there were ?
Ans. 991.

16. If Log2 x - 5 Log x + 6 = 0, then what would the value / values of x be?
Ans. x = e2 or e3.

17. In june a baseball team that played 60 games had won 30% of its game played.
After a phenomenal winning streak this team raised its average to 50% How
many games must the team have won in a row to attain this average?
A. 12 B. 20 C. 24 D. 30 Ans. C

18. .Can you tender a one rupee note in such a manner that there shall be total
50 coins but none of them would be 2 paise coins.?
Ans. 45 one paisa coins, 2 five paise coins,
2 ten paise coins, and 1 twenty-five paise coins.

19. A monkey starts climbing up a tree 20ft. tall. Each hour, it hops 3ft. and
slips back 2ft. How much time would it take the monkey to reach the top?
Ans.18 hours.

20. What is the missing number in this series? 8 2 14 6 11 ? 14 6 18 12
Ans. 9

21. A certain type of mixture is prepared by mixing brand A at Rs.9 a kg. with
brand B at Rs.4 a kg. If the mixture is worth Rs.7 a kg., how many kgs. of
brand A are needed to make 40kgs. of the mixture?
Ans. Brand A needed is 24kgs.

22. A wizard named Nepo says "I am only three times my son's age. My father is
40 years more than twice my age. Together the three of us are a mere 1240
years old." How old is Nepo?
Ans. 360 years old.

23. One dog tells the other that there are two dogs in front of me. The other one
also shouts that he too had two behind him. How many are they?
Ans. Three

24. A man ate 100 bananas in five days, each day eating 6 more than the previous
day. How many bananas did he eat on the first day?
Ans. Eight.

25. If it takes five minutes to boil one egg, how long will it take to boil four eggs?
Ans. Five minutes.