TCS test format

TCS test format                                                                                            time: 70 minute

1.

10. A six faced die is so biased that it is twice as likely to show an even number as an odd. It is thrown twice. What is the probability that the sum of the numbers is even?
(a) 1/3  (b) 2/3  (c) 5/9 (d) 6/11

Solution:

((2/3). (2/3))+ ((1/3).(1/3)=5/9

2.

1,6,7,13,20 ...Find sum up to 52 terms

Solution:

Nth term =a+ (n-1) d

 =1+ (52-1)5

 =256

3.

Car A leaves city C at 5pm and is driven at a speed of 40kmph. 2 hours later another car B leaves city C and is driven in the same direction as car A. In how much time will car B be 9 kms ahead of car A if the speed of car is 60kmph?

Solution:

After 2 hours

Car A has distance from city C=2*40=80

Hence, Relative speed=60-40=20kmph

Time taken to B to goes 9 kms ahead from Car A= (80+9)/20=4.45hours

Hence Actual time=5+4.45(4 hours And 27 minutes) =9:27 P.M

4.

In an exam the maximum mark for each of 3 subjects is 50 and the maximum mark for the fourth subject is 100. Find the number of ways in which a student can score 60% marks in aggregate.

Solution:

LET THE SCORE BE 

a/50
b/50
c/50
d/100

max marks=250

60% 0f 250=150

i.e.  a+b+c+d =150

but,  153C3 is the answer

5.

If the ratio of two numbers is 3:4 and LCM of the number is 180 then what the number is.

Solution:

Let two number is = 3x and 4x

Product of two no = LCM * HCF

                   3x*4x=180*x
                          x=15

So number will be 3x= 45 and 4x=60

6.

There is a new Sudoku question seen in latest TCS aptitude exams.

Values of x and y are to be determined.

 It is star question. 

Please add it.

Solution:

A Sudoku grid contains digits in such a manner that every row, every column, and every 3x3 box accommodates the digits 1 to 9, without repetition. In the following Sudoku grid, find the values at the cells denoted by x and y and determine the value of 6x + 15y.

a. 87 b. 75
c. 66 d. 99
Answer is 75

7.

How many Palindrome number are there in between 5000 to 67000.

Palindrome no 5335 is palindrome no because if u read from first and last the value remains same.

Solution:

Simply count it 

For every 1000 numbers we get 10 palindromes

So answer is 620

8.

The element being searched for is not found in an array of 100 elements. What is the average number of comparisons needed in a sequential search to determine that the element is not there, if the elements are completely unordered?

Solution:

100
Let us assume k be the element we need to search

Then let array be n1,n2,n3..............n100

Now to prove that the element searched is not there in the array we have to compare the

Element K with every element in the array

So, totally we need 100 comparisons.

9.

Anand packs 304 marbles into packets of 9 or 11 so that no marble is left.

Anand wants to maximize the number of bags with 9 marbles. How many bags does he need if there should be at least one bag with 11 marbles?

a. 33

b. 32

c. 31

d. 30

Solution:

9X+11Y=304
for this ques because equation tells there are num of 9 bags and11 bags that contain x and y num of marbles respectively. 

Here y>1

So for l values from 1, 2.....n equations satisfies at y=8 and x=24

9*24+11*8=304

Answer: 32

Let the number of packets with 9 marbles be x

And the number of marbles with 11 marbles is y

Then 9x+11y = 304

One general solution for this equation is (24,8)

Others solutions will get by decreasing x by 11 and by increasing y by 9 ex:(13,17)

Hence the answer is 32

10.

If ABC is a quarter circle and a smaller circle is inscribed in it;

If radius of quarter circle is 1.414 units, then find the radius of smaller circle?

Solution:

If r be radius of smaller circle then

Distance b/n centers = √2 * r

So,

 r + r√2 = R

Here,

R = 1.414 =√2

=> r= (√2 -1) R 

r = 0 .586 unit