# Placement Questions & Answers :: TCS

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**TCS Practice Q&A**

81. In a meeting between 2 countries each country has 12 delegates. All the delegates of one country shake hands with all delegates of other countries. Find the number of handshakes possible?

**Answer:**** Option C **

**Explanation:**

Total no. of handshake = 12c1*12c1 = 144.

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82. In a group of 5, Anooj said"one of us are lying", Pooja said"Exactly two are lying", Bitto said "Exactly three are lying", Billa said"Exactly four are lying", Chitra said,"Exactly five of us are lying". Which one said the Truth?

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

**Explanation:**

billa is telling truth that exactly four are lying,as there is a group of 5 and the statement of no two people in group matches

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83. How many numbers are there b/w 10 and 99 such that the number exceeds it's sum of the digits by 18

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

**Explanation:**

let x be tenth digit & y be unit digit

so number is =10*x+y

given, 10x+y=x+y+18

or 9x=18

or x=2

so no. will be of form 2y

value of y can be 0,1,2,3,...,8,9

nubers are 20,21,22,23,...,28,29

total=10 numbers

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84. A persons salary is decreased by steps of 20%, 15% and 10%. What will be the percentage decrease, if the salary is decreased in a single shot?

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

**Explanation:**

decrease in salary in single shot =38.8%

first decease =20% let the salary be 100 then it will become 80

2nd decrease is= 15%. 15% of 80 =12 then salary become 68

3rd decrease is of 10% . 10% of 68 =6.8.then salary become 61.2

so overall decrease=38.8%

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85. A man speaks truth 3 out of 4 times. He throws a die and reports it to be a 6.What is the probability of it being a 6?

**Answer:**** Option C **

**Explanation:**

Probability that the die does not report 6, and he is telling the truth: (5/6)*(3/4)=5/8

Therefore, Probability that the die reports 6 = 1-(5/8) = 3/8

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86. How many three digit numbers can be form from digit 1-9 strictly in increasing order and follows an A.P.

**Answer:**** Option C **

**Explanation:**

numbers are 123 135 147 159 234 246 258 345 357 369 456 468 567 579 678 789

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87. Statements:

All green are blue.

All blue are white.

Conclusions:

(i) Some blue are green.

(ii) Some white are green.

(iii) Some green are not white.

(iv) All white are blue.

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

**Explanation:**

Here is no explanation for this answer

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88. On a certain assembly line, the rejection rate for Hyundai i10s production was 4 percent, for Hyundai i20s production 8 percent and for the 2 cars combined 7 percent. What was the ratio of Hyundais i10 production?

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

**Explanation:**

Lets assume cars of i10s as "a" and cars of i20s as "b" are made.

So, 4(a)+8(b)/(a+b) = 7.

=> 4(a) + 8(b) = 7a + 7b.

=> 3a = b

? a/b = 3/1

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89. J is faster than P. J and P each walk 24 km. Sum of the speeds of J and P is 7 kmph. Sum of time taken by them is 14 hours. Then speed of J is equal to

**Answer:**** Option C **

**Explanation:**

As per the question: J > P ---(1)

and J + P = 7 ----- (2)

So, the below option can satisfy above both eq. (1) & (2)

(6, 1), (5, 2), (4, 3)

sum of time taken by them = 14 hrs. ---- (3)

To satisfy the 3rd condition

If J = 4 and P = 3.

Times taken by them = 24/4 + 24/3 = 14.

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90. Find the missing in the series: 70, 54, 45, 41,__.

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

**Explanation:**

70-54 = 16 = 4^2

54-45 = 9 = 3^2

45-41 = 4 = 2^2

41-40 = 1 = 1^2.

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