** Company: ** 3i Infotech

**3i-Infotech Placement Paper – Feb 2010 Aptitude-General**

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) 19.25 sq.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10) The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member.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.

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.

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

19) 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.

20) 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.