TCS Digital Aptitude Test Questions and Answers

Answer: Option C

Let the two digit number be 10a + b and the number formed by reversing its digits be 10b + a.
10a + b/10b + a= 4/7 70a + 7b = 40b + 4a 66a = 33b
Therefore, a/b= 1/2
So, let us list down all possible values for a and b. a b Number Reversed Number
1 2 12 21
2 4 24 42
3 6 36 63
4 8 48 84
Hence, the sum of all the numbers would be, 12 + 21 + 24 + 42 + 36 + 63 + 48 + 84 = 330.

Answer: Option C

Let X is the number. (1/3) X-(1/6) X=3,
Solving these we can get the answer.

Answer: Option C

For this type of Questions, follow this:
At least- 1st half are true, last half are false
Exactly- Last second one is true or (N-1)th Statement is true
Almost- All are true.

Answer: Option A

Distance between any two points (x1,y1) and (x2,y2) is given by the formula [ (x2 - x1)2 - (y2 - y1)2 ]1/2 Distance between A and B in the given question is (8)1/2
Similarly, Distance between B and C is (160)1/2 Distance between A and C is (104)1/2
For any right angled triangle, hypotenuse is the largest side. Thus for our triangle ABC, BC is the hypotenuse. So the angle opposite to hypotenuse is the right angle. So A is the right angle

Answer: Option C

Ans is 4 because 1 for incentre and other 3 for excentres .So total no of points equidistant from the 3 lines is 4.
Note:-Every triangle has three excenters and three excircles. The excircle which is tangent to one side of the triangle and the extensions of the other two sides and the centre of the excircle is known as excentre

Answer: Option C

The total volume (in terms of number of cubes) of the solid = 4*8*16= 512
The total volume (in terms of number of cubes) of the hollow = (4-2)*(8-2)*(16-2) = 168
i.e. 168 smaller cubes must be removed from the cube in order to make a hollow block.

Answer: Option A

All suspects are lying" means the leftmost is guilty. "All suspects are lying or the leftmost suspect is innocent." is true because, it is either leftmost is guilty or innocent.
"All suspects are lying and the leftmost suspect is innocent" has "and" in it, so, the statement becomes contradictory and so cannot be true.

Answer: Option D

Youngest be x, then eldest = 3x. 3x = y + x + 2 => y = 2x -2
So ages are 3x, 2x-2 and x respectively.
Now check the options. 10 and 13 are not suitable in place of 3x so on taking 12 for 3x, x=4 so ages are 12,6,4 but this answer is not possible according to the condition- The difference between the ages of two of my three grandchildren is 3
So take 3x=15, x=5 so ages are 15, 8, 5 and 8-5 =3 so 15 is the correct answer.

Answer: Option D

1234567890123456789 can be expressed as (9k) 24. 1234567890123456789 is divisible by 9.
2187=37
(Because sum of the digits is divisible by 9)So it is divisible by 3. Thus the remainder will be zero.

Answer: Option B

If first is victim then all suspects are lying. Here you should remember that the rightmost person is not questioned.
If any of the person leaving leftmost is victim then the leftmost suspect is innocent. But "and" should not be used between the conditions because leftmost is not innocent necessarily.