# Placement Questions & Answers :: TCS

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71. There are 20 balls which are red,blue,or green.If 7 balls are green and the sum of red balls and green balls is less than 13, at most how may red balls are ?

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

**Explanation:**

Green ball =7

G + R < 13

So, red can be 1 or 2 or 3 or 4 or 5

For atmost red ball take red = 5

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72. If a publication occurs every seven years and the sum of the years is 13524. Then find the first year if the no. of publication is 7.

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

**Explanation:**

Here a= ? , d=7 , s=13524 , n=7

sum of A.P. = n/2(2a + (n-1)d)

so we have series a+(a+7)+(a+14).......=13524;

=> 13524=7/2(2*a+(7-1)7)

=> a=1911;

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73. 3 mangoes and 4 apples costs Rs 85. 5 apples and 6 peaches costs Rs. 122. 6 mangoes and 2 peaches cost Rs.114. what is the combined price of 1 apple, 1 peach and 1 mango?

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

**Explanation:**

Form the below eq. from the given info. in question.

3m+4a=85 -------- (i)

5a+6p=122 -------- (ii)

6m+2p=114 ----- (iii)

By solving eq. (i), (ii) and (iii)

m=15,a=10,p=12

so 1 apple, 1 peach and 1 mango price = 15+10+12 = Rs. 37

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74. What is the remainder of (16937^30)/31 ?

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

**Explanation:**

Here is no explanation for this answer

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75. In a cricket match,two batsman scores are 96,96 respectively.They require only 5 runs in 3 balls,can both the batsman complete their centuries?

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

**Explanation:**

Here is no explanation for this answer

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76. There are several bags of same weights. A bag is 6 kg plus three fourth of weight of an another bag . What is the weight of the bag?

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

**Explanation:**

Lets assume bags as a,b,c,d....

Given condition 1: A bag is 6 kg plus three fourth of weight of an another bag

so, a=6+(3/4)b ------ (1)

condition 2: weights are same

so, a=b=c=d

=> a=6+(3/4)a

=> a=24

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77. There is a square field of side 10 m. A man runs with different speed 10 kmph, 15 kmph, 20 kmph, 25 kmph on the four sides of the field. What is the average speed of man ?

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

**Explanation:**

Avg. Speed = (Total Distance /Total Time)

Total Distance = 10*4 = 40m 0r 0.04 km.

So, avg. Speed = 0.04/[(0.01/10)+(0.01/15) + (0.01/20) + (0.01/25)]

=15.58kmph

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78. LEADING" arrange it in such a way that atleast two vowels always together ?

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

**Explanation:**

Total possible arrangement = 7! = 5040

Given condition 2 vowel should comes together : {_L_D_N_G_)

So, 3 vowels can be placed at 5 positions = 5p3 * 4! = 60*24 = 1440.

So required arrangements : (5040 - 1440) = 3600

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79. 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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80. 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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