# Placement Questions & Answers :: TCS

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**TCS Practice Q&A**

61. Arun makes a popular brand of ice cream in a rectangular shaped bar 6cm long, 5cm wide and 2cm thick. To cut costs, the company had decided to reduce the volume of the bar by 19%. The thickness will remain same, but the length and width will be decreased by some percentage. The new width will be,

**Answer:**** Option B **

**Explanation:**

volume=l*b*h=6*5*2=60cm^3

now volume is reduced by 19%.therefore 81/100 *60=48.6

now,thickness remains same and let length and breadth be reduced by x%

so,new volume: 2*x/100 *6*x/100 *5=48.6

=>x=90 thus length and width is reduced by 90%

new width =90% of 5 =4.5

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**Tags:** TCS

62. When all words in "MASTER" is sorted in alphabetical order then what is the 49th word ?

**Answer:**** Option A **

**Explanation:**

Arranged alphabet: A E M R S T

word start with A: A _ _ _ _ _ =120

so,word start with A

next, A E _ _ _ _=24

next, A M _ _ _ _=24

total word is 48

so.word at 49 rank is A R E M S T.

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**Tags:** TCS

63. How many integers in the given below set do not contain the digit 7. 1000,1001,1002,-------------------------.9998,9999

**Answer:**** Option A **

**Explanation:**

Total number of four digit numbers =9000 (9999 - 999)

Find the numbers not having digit 7 in them.

Now consider the units place it can be selected in 9 ways (i.e 0,1,2,3,4,5,6,8,9)

Tens place it can be selected in 9 ways (i.e 0,1,2,3,4,5,6,8,9)

Hundreds place it can be selected in 9 ways (i.e 0,1,2,3,4,5,6,8,9)

Thousands place can be selected in 8 ways (i.e 1,2,3,4,5,6,8,9) here '0' cannot be taken

Total number of numbers not having digit 7 in it =9 x 9 x 9 x 8 =5832

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64. A watch gains 5 min. every hour. If it has set right at 12 noon. what is the true time when the watch is showing 5 pm,on the same day?

**Answer:**** Option A **

**Explanation:**

65 min of 1st clock = 60 min of correct clock

5 hr of this clock = 60x5/65 of correct clock=60/13

correct time is 60/13 hr after 12 = 4:8/13=4:480/13

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**Tags:** TCS

65. A call center agent has a list of 305 phone nos of people in alphabetic order of names (but she does not have any of the names). she needs to quickly contacts deepak sharma to convey a message to him.If each call takes 2 minutes to complete, and every call is answered, what is the minimum amount of time in which she can guarantee to deliver the message to Mr.Sharma.

**Answer:**** Option B **

**Explanation:**

305/2=152

152/2=71

71/2=35

35/2=17

17/2=8

8/2=4

4/2=2

2/2=0

we get 0 after 9 times.

ans=9*2=18

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**Tags:** TCS

66. If on an item a company gives 25% discount, they earn 25% profit. If they now give 10% discount then what is the profit percentage.

**Answer:**** Option D **

**Explanation:**

Lets assume the cost = Rs x.

After giving 25% discount it becomes 0.75x

Selling price = 0.75x which gives 25% profit...(1)

Thus, after giving 10% discount it becomes 0.90x

Selling price = 0.90x ......(ii)

From eq. (1) and (2),

0.90x will gives = (25 * 0.90x)/ (0.75x) = 30 % profit.

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**Tags:** TCS

67. find the number that can be put in place of the question mark.

1.25,3,7.1,1.50,1,8.1,1.75,-1,?

**Answer:**** Option B **

**Explanation:**

1.25+0.25=1.50+0.25=1.75

3-2=1-2=-1

7.1+1=8.1+1=answer is 9.1

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68. In month of jan 4 thursday and 4 sunday then on 1st jan of that month which willbe the day?

**Answer:**** Option A **

**Explanation:**

Here is no explanation for this answer

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69. The famous church in the city of Kumbakonnam has a big clock tower and is said to be over 300 years old. Every Monday 10.00 A M the clock is set by Antony, doing service in the church. The Clock loses 6 mins every hour. What will be the actual time when the faulty clock shows 3 P.M on Friday?

**Answer:**** Option B **

**Explanation:**

Monday 10am to friday 3pm=101 hours=606 minutes=10 hours 6 minutes delay

So, time at 3 pm = 4:54am

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**Tags:** TCS

70. A drawer hold 4 red hates and 4 blue hates. what is the probability of getting exactly 3 hatesv when taking out 4 hates randomly out of the drawerband imediately returining every hate to the drawer before taking out the next?

**Answer:**** Option D **

**Explanation:**

The probability of drawing red or blue is equal.

Probability to draw exactly 3 red hats and 1 blue hat =1/2*1/2*1/2*1/2=1/16

Similarly probability to draw exactly 3 blue hats and 1 red hat =1/2*1/2*1/2*1/2=1/16

Total probability =1/16+1/16=1/8

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**Tags:** TCS

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