# Placement Questions & Answers :: TCS

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81. 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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82. 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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83. 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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84. 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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85. 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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86. 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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87. 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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88. (2/3) of a number is 4 more than the (1/6) of the same number?

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

**Explanation:**

Here is no explanation for this answer

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89. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled of the 21 hours, what is total duration of hours required to fill it completely?

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

**Explanation:**

for every hour water in tank in B is doubled,

Let the duration to fill the tank B is x hours.

x/32 part of water in tank of B is filled in 21 hours,

Next hour it is doubled so,

2*(x/32) part i.e (x/16) part is filled in 22 hours,

Similarly (x/8)th part in 23 hours,(x/4)th part is filled in 24 hours,

(x/2)th part is filled in 25 hours, (x)th part is filled in 26 hours

So answer is 26 hours.

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90. 6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. Hence the current average age has become 45. Find the age of seventh person?

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

**Explanation:**

Total age of 6 persons is x hours,after two years total age of 6 persons is x+12

Average age of 6 persons is after two years is 43

So (x+12)/6=43 => x = 246 ---------- (1)

After 7th person is added then (x+7th person age)/7=45

7th person age = 45 *7 - x

=> 7th age = 69

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