This set of placement paper is collected from on-campus placement drive for the 2014 batch. TCS will follow the same pattern for the off–campus drive of 2014 batch.
1. There are 3 trucks A,B and C. A loads at the rate of 10kg/min and B loads at the rate of 13 1/3 kg/min. C unloads at the rate of 5kg/min. If all the 3 trucks are acting simultaneously, find the time taken to load 2.4 tonnes.
Ans. 130.91 min
2. The price of a book in four different shops and the successive discounts offered for the books is given below. Select the option in which the price of the book is the least.
(a) 10%, 5%, and 5% discount on Rs.195
(c) 12.5% and 12.5% discounts on Rs.205
(b) 25%, discount on Rs.200
(d) 10%, and 15% discounts on a marked price of Rs.190
Ans. D
3. When all possible six-letter arrangements of the letters of the word “MASTER” are sorted in alphabetical order, what will be the 49 th word?
Ans. AREMST
Explanation: First by arranging the given word in alphabetical order we get A,E,M,R,S,T
There are 24 words starts with AE
There are 24 words starts with AM
So the 49th word will be AREMST
4. A workman starts his work on Monday works for 8 days and takes every 9 th day as his holiday. His 12 th holiday will fall on?
Ans. Wednesday
5. Initial price of the scooter is 40000 and it reduces to 3/4th of the previous price every year. What will be the price after 3 years?
Ans. 16875
Explanation: Therefore price of scooter in 3 years = 40000*(3/4)*(3/4)*(3/4) =16875
6. A starts riding his bike at 10am with a speed of 20kmph and B also starts at 10am with a speed of 40 kmph from the same point in the same direction. A turns south at 12 o’clock and B turns north at 11 am. What will be the distance between A and B at 2 pm?
Ans 160 kmph
7. If there are six periods in each working day of a school. In how many ways can one set up the time table for a day such that each subject is allowed at least one period?
Ans. 3600
Explanation: The five subjects can be done in 5! ways. The remaining 1 period can be any of the 5 subjects and it can come in at any of the 6 different periods. So 5 * 6 = 30 ways.
The total ways is 5! * 30 = 3600 ways.
8. 1!+2!+3!...+50! when divided by 5!, the remainder is?
Ans. 33
Explanation: 5! is 120 and all numbers from 5! to 50! are divisible by 5!. We have to check for the first 4 numbers i.e, from 1! to 4!. The addition is 1+2+6+24 = 33. Therefore, the remainder is 33.
9. In month of 31 days, there are exactly 4 Thursdays and 4 Sundays. What is the day of the week on the first of that month?
Ans. Monday
Explanation: If Thursdays and Sundays occur 4 times, then the days between them – Friday and Saturday – also will occur 4 times. The remaining days Mon, Tue and Wed will occur 5 times. Hence the month starts on Monday.
10. My name is PREET. But my son accidentally types the by interchanging a pair of letters in my name. What is the probability that despite this interchange, the name remains unchanged?
Ans. 10%
Explanation: Using 5 letters one can form 10 combinations and the only way that the name remains unchanged is when both E’s are getting interchanged. That is one of 10, which is 10%.
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1. There are 3 trucks A,B and C. A loads at the rate of 10kg/min and B loads at the rate of 13 1/3 kg/min. C unloads at the rate of 5kg/min. If all the 3 trucks are acting simultaneously, find the time taken to load 2.4 tonnes.
Ans. 130.91 min
2. The price of a book in four different shops and the successive discounts offered for the books is given below. Select the option in which the price of the book is the least.
(a) 10%, 5%, and 5% discount on Rs.195
(c) 12.5% and 12.5% discounts on Rs.205
(b) 25%, discount on Rs.200
(d) 10%, and 15% discounts on a marked price of Rs.190
Ans. D
3. When all possible six-letter arrangements of the letters of the word “MASTER” are sorted in alphabetical order, what will be the 49 th word?
Ans. AREMST
Explanation: First by arranging the given word in alphabetical order we get A,E,M,R,S,T
There are 24 words starts with AE
There are 24 words starts with AM
So the 49th word will be AREMST
4. A workman starts his work on Monday works for 8 days and takes every 9 th day as his holiday. His 12 th holiday will fall on?
Ans. Wednesday
5. Initial price of the scooter is 40000 and it reduces to 3/4th of the previous price every year. What will be the price after 3 years?
Ans. 16875
Explanation: Therefore price of scooter in 3 years = 40000*(3/4)*(3/4)*(3/4) =16875
6. A starts riding his bike at 10am with a speed of 20kmph and B also starts at 10am with a speed of 40 kmph from the same point in the same direction. A turns south at 12 o’clock and B turns north at 11 am. What will be the distance between A and B at 2 pm?
Ans 160 kmph
7. If there are six periods in each working day of a school. In how many ways can one set up the time table for a day such that each subject is allowed at least one period?
Ans. 3600
Explanation: The five subjects can be done in 5! ways. The remaining 1 period can be any of the 5 subjects and it can come in at any of the 6 different periods. So 5 * 6 = 30 ways.
The total ways is 5! * 30 = 3600 ways.
8. 1!+2!+3!...+50! when divided by 5!, the remainder is?
Ans. 33
Explanation: 5! is 120 and all numbers from 5! to 50! are divisible by 5!. We have to check for the first 4 numbers i.e, from 1! to 4!. The addition is 1+2+6+24 = 33. Therefore, the remainder is 33.
9. In month of 31 days, there are exactly 4 Thursdays and 4 Sundays. What is the day of the week on the first of that month?
Ans. Monday
Explanation: If Thursdays and Sundays occur 4 times, then the days between them – Friday and Saturday – also will occur 4 times. The remaining days Mon, Tue and Wed will occur 5 times. Hence the month starts on Monday.
10. My name is PREET. But my son accidentally types the by interchanging a pair of letters in my name. What is the probability that despite this interchange, the name remains unchanged?
Ans. 10%
Explanation: Using 5 letters one can form 10 combinations and the only way that the name remains unchanged is when both E’s are getting interchanged. That is one of 10, which is 10%.
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