# Placement Questions & Answers :: TCS

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**TCS Practice Q&A**

211.

In particular, language if A=0, B=1, C=2,..... .., Y=24, Z=25

then what is the value of below eq.

** ONE **

**+ ONE**

**---------**

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

**Explanation:**

A,B,C ------Z (26 characters.) so for this problem base will be 26 instead of 10.

as we know for base 10 there are 10 digit i.e (0,1,2,-----9).

E => 4. So E + E = 8 which is equal to I.

Now N + N => 13 + 13 = 26. But in base 26 so

26|26

-------- 0

26|1

-------- 1

0

=> 10 here 1 will be cary over. and 0 mean A

and O+O+1 = 14+14+1 = 29

26|29

-------- 3

26|1

-------- 1

0

=> 13 i.e 1 = B and 3 = D

so ONE + ONE = BDAI

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**Tags:** TCS

212. The perimeter of a equilateral triangle and regular hexagon are equal. Find out the ratio of their areas?

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

**Explanation:**

Perimeter of equilateral triangle = Perimeter of regular hexagon

6r=3a => a/r=2

(sqrt(3)/4)a^2:3sqrt(3)/2 r^2

=>a^2/r^2:3*2 =4:6=2:3

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213. Assume that f(1)=0 and f(m+n)=f(m)+f(n)+4(9mn-1). For all natural numbers (Integers>0)m and n. What is the value of f(17)?

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

**Explanation:**

f(2) = f(1+1)=f(1)+f(1)+4(9*1*1 - 1 )= 0+0+4*8 = 32

f(4) = f(2+2)=f(2)+f(2)+4(9*2*2 - 1 )= 32+32+4*35 = 204

f(8) = f(4+4)=f(4)+f(4)+4(9*4*4 - 1 )= 204+204+4*143 = 980

f(16) = f(8+8)=f(8)+f(8)+4(9*8*8 - 1 )= 980+980+4*575 = 4260

f(17)= f(1+16)= f(16)+f(1)+4(9*16*1 -1)= 4260+0+ 4*143= 4832

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**Tags:** TCS

214. Which of the following numbers must be added to 5678 to give a reminder 35 when divided by 460?

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

**Explanation:**

Let x be the number to be added to 5678.

When you divide 5678 + x by 460 the remainder = 35.

Therefore, 5678 + x = 460k + 35 here k is some quotient.

=> 5643 + x should exactly divisible by 460.

Now from the given options x = 797.

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215. A girl entered a store and bought x flowers for y dollars (x and y are integers). When she was about to leave, the clerk said, "If you buy 10 more flowers I will give you all for $ 2, and you will save 80 cents a dozen". The values of x and y are:

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

**Explanation:**

Given she bought x flowers for y dollars.

So 1 flower cost = yx

12 flowers or 1 dozen cost = 12yx

Again, x+10 cost = 2 dollars

1 flower cost = 210+x

12 flowers or 1 dozen cost = 2*1210+x=2410+x

Given that this new dozen cost is 80 cents or 4/5 dollar less than original cost.

=>12yx−2410+x = 45

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216. If a number is divided by 357 the remainder is 5, what will be the remainder if the number is divided by 17?

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

**Explanation:**

Let 'N' be the given number. N=357k+5 = 17*21k+5

If this number is divided by 17 remainders is 5 as 357k is exactly divided by 17.

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217. 2345 23455 234555 234555........... what was last 2 numbers at 200th digit?

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

**Explanation:**

Here is no explanation for this answer

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218. There are equal number of boys and girls in a class. If 12 girls entered out, twice the boys as girls remain. What was the total number of students in a class?

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

**Explanation:**

Lets assume the boys = b and girls = g

if 12 girls entered out:

2*(g-12) = b -------- (1)

Given equal number of boys and girls

So, from eq. 1

2g-24 = g => g = 24

so Total number of students in class = 24+24 = 48

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219. A can complete a piece of work in 8 hours, B can complete in 10 hours and C in 12 hours. If A,B, C start the work together but A laves after 2 hours. Find the time taken by B and C to complete the remaining work.

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

**Explanation:**

Here is no explanation for this answer

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220. A tree of height 36m is on one edge of a road broke at a certain height. It fell in such a way that the top of the tree touches the other edge of the road. If the breadth of the road is 12m, then what is the height at which the tree broke?

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

**Explanation:**

If tree is broken then becomes a right angled triangle.

Lets assume the height of broken tree =y

and length of broken part=x

now, x + y = 36 ------------ (1)

x^2 - y^2=144

(x+y)(x-y)=144

x-y = 4 ----------- (2)

By solving eq. (1) & (2)

=>x=20 & y=16

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