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Placement Papers with Solutions

(#M40029774) TCS QUESTION Keep an EYE

A wooden cube with edge length n units (where n is an integer) is painted black all over. By slices parallel to its faces, the cube is cut into n3 smaller cubes each of unit length. Let x0, x1, x2 and x3 be the number of smaller cubes with 0, 1, 2 and 3 faces painted black. If x0 = x3, what is n?

6

8

7

4

5

Asked In TCS NITISH KUMAR (11 years ago)

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(#M40029772) TCS QUESTION Keep an EYE

The maximum number of points in the intersection of an arbitrary circle and the function y = sin x is
option
a) 2
b) more than 16
c) 8
d) 6
e) 4

Asked In TCS NITISH KUMAR (11 years ago)

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(#M40026171) TCS QUESTION Keep an EYE

# 9
An ant lives on the surface of a regular tetrahedron with edges of length 5cm. It is currently at the midpoint of one of the edges and has to travel to the midpoint of the opposite edge. What is the length (in cm) of the shortest route to the destination assuming the ant can only travel along the surface of the tetrahedron? (Note: 2 edges in a tetrahedron are said to be opposite if they don't share any endpoints).

2.5*√3
2.5*(1 + √3)
7.5
5
2.5*√2

Asked In TCS NITISH KUMAR (12 years ago)

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(#M40026169) TCS QUESTION Keep an EYE

Let a be a real number such that a3 - 3a2 + 27 = 0. Then the value of a7 + 486a2 is

738
2187
0
-2187

Asked In TCS NITISH KUMAR (12 years ago)

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(#M40026168) TCS QUESTION Keep an EYE

From a point within an equilateral triangle, perpendiculars are drawn to the three sides and are 3, 7 and 11 cm in length. Then the perimeter of the triangle (in cm) is

a. 42√3
b. 21√2
c. 21
d. 7

Asked In TCS NITISH KUMAR (12 years ago)

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(#M40026167) TCS QUESTION Keep an EYE

# 11
Ana gave Bill and Clare as much money as each had. Then Bill gave Ana and Clare as much money as each had. Then Clare gave Ana and Bill as much money as each had. Then each of the three people had $32. How much money (in $s) did Ana, Bill and Clare have to begin with?

52, 28 and 16 respectively.
64, 24 and 8 respectively.
60, 20 and 16 respectively.
Cannot be determined from the given information

Asked In TCS NITISH KUMAR (12 years ago)

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(#M40019759) SELF QUESTION Keep an EYE

The largest four digit number which when divided by 4,7 or 13 leaves a remainder of 3 in each case is?"

NITISH KUMAR (12 years ago)

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