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# Placement Questions & Answers :: TCS

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Not Attempted

411. A circle circumscribes three unit circles that touch each other. What is the area of the larger circle? Note that p is the ratio of the circumference to the diameter of a circle (3.14159265).

Explanation:

By joining centers of 3 unit circles we will get an equilateral triangle of length 2 unit. We have to find the length of the orange line.

And center of the equilateral triangle will be the center of the big circle.

So radius of the big circle will be = (1 + Circum radius of the equilateral triagle)

Formula for Circul radius of the equilateral triangle = 23*(3?2a) here 3?2a is the height of the triangle. a is the side of the triangle

Circum radius of equilateral triangle = 23*3?2*2=23?

Area of big circle will be =?r2=3.14*(1+23?)2 = 3.14*(1+43?+43) =3.14*(1+43?+43) = 3.14*(73+43?)

=3.14*(7+43?3)

Tags: TCS

Not Attempted

412. The length, breadth and height of a room are in the ratio 3:2:1. If the breadth and height are halved, while the length is doubled. Then the total area of the 4 walls of the room will be decreased by

Explanation:

Given l:b:h=3:2:1

let h=10, b = 20, and l = 30 area = 2(l+b)h
area= 2*(3x+2x)*x = 2(30+20)10=1000

Now after those adjustments in the measurements, l=60, b=10, h=5
area= 2(l+b)h = 2(60+10)5=700
Percentage decrease= 1000?7001000 * 1000=30%

Tags: TCS

Not Attempted

413. Eesha bought 18 sharpeners for Rs.100. She paid 1 rupee more for each white sharpener than for each brown sharpener. What is the price of a white sharpener and how many white sharpener did she buy?

Explanation:

Here is no explanation for this answer

Tags: TCS

Not Attempted

414. Four people each roll a four die once. Find the probability that at least two people will roll the same number?

Explanation:

The number of ways of rolling a dice where no two numbers probability that no one rolls the same number = 6 * 5 * 4 * 3

Now total possibilities of rolling a dice = 64

The probability that a no one gets the same number = 6*5*4*364 = 518
So, the probability that at least two people gets same number = (1?518) = 1318

Tags: TCS

Not Attempted

415. The fourteen digits of a credit card are to be written in the boxes shown above. If the sum of every three consecutive digits is 18, then the value of x is:

Explanation:

Let us assume right most two squares are a , b

Then Sum of all the squares = 18 x 4 + a + b ------ (1)
Also Sum of the squares before 7 = 18

Sum of the squares between 7, x = 18 and
sum of the squares between x , 8 = 18

So Sum of the 14 squares = (18 + 7 + 18 + x + 18 + 8 + a + b) ------- (2)
By Solving equation 1 and 2
x = 3

Tags: TCS

Not Attempted

416. Given that 0 < a < b < c < d, which of the following the largest?

Explanation:

Take a = 1, b = 2, c = 3, d = 4

Tags: TCS

Not Attempted

417. Thomas takes 7 days to paint a house completely whereas Raj would require 9 days to paint the same house completely. How many days will take to paint the house if both them work together. (Give answers to the nearest integer)?

Explanation:

Here is no explanation for this answer

Tags: TCS

Not Attempted

418. In 2003, there are 28 days in February and there are 365 days in the year. In 2004, there are 29 days in February and there are 366 days in the year. If the date March 11, 2003 is Tuesday, then which on of the following would the date March 11, 2004 be?

Explanation:

March 11, 2003 is Tuesday. So March 11, 2004 weekday will be 2 days after Tuesday. i.e., Thursday.

Tags: TCS

Not Attempted

419. X = 101102103104105106107......146147148149150 (From numbers 101-150). Find out the remainder when this number is divided by 9.

Explanation:

The divisibility rule for 9 is sum of the digits is to be divisible by 9. So

We calculate separately, sum of the digits in hundreds place, tenths place, and units place.

Sum of the digits in hundreds place: 1 * 50 = 50

Sum of the digits in tenths place : 0 * 9 + 1 * 10 + 2 * 10 + 3 * 10 + 4 * 10 + 5 * 1 = 105

Sum of the digits in units place : (1 + 2 + 3 + ...+ 9) * 5 = 225

So total = 380

So remainder = 380 / 9 = 2

Tags: TCS

Not Attempted

420. A number is 101102103104...150. As 101 102 103 103.... 150. What is reminder when divided by 3?