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Placement Questions & Answers :: TCS

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Not Attempted

361. A 3*3 grid is coloured using red and blue colours,such that if we rotate the grid about its centre plane by 180 degrees,the grid looks the same.The number of ways to colour the grid this way is:

Explanation:

Here is no explanation for this answer

Tags: TCS

Not Attempted

362. What is the minimum value of abs(187m  396n  526) as m, n take all integer values? Here abs is the absolute value function (that is, if x > 0, then abs(x) = x and if x < 0, then abs(x) =  x).

Explanation:

187m-396n-526=187(m-2n-3)-22n+35
consider
m-2n-3=1
187(1)-22n+35=222-22n
the value =2 when n=10
m-2n-3=1
n=10
m=24
m,n are integers

Tags: TCS

Not Attempted

363. A conical tent is to accommodate 10 persons. Each person must have 6 sq.meter space to sit and 30 cubic meter of air to breathe. What will be the height of the cone?

Explanation:

Amount of area reqd. by 1 person to stand = 6 sq.metre
Amount of area reqd. by 10 person to stand = 6x10 sq.metre i.e 60 sq.metre
So,
Base Area, pi*r*r=60
=>r*r = 60/pi ---------------(1)
Now,
Volume of air reqd. to breathe 1 person= 60 cu.metre
Volume of air reqd. by 10 person to breathe = 60x10=600 cu.metre
So,
Volume, 1/3*pi*r*r*h = 300 ---------------------(2)
Putting the value of eqn 1 in eqn 2, we get
1/3*pi*60/pi*h = 300
=> 1/3*60*h = 300
=> 20*h = 300
=> h = 300/20 = 15
Therefore height = 15 metres

Tags: TCS

Not Attempted

364. How many prime numbers are there which are less than 100 and greater than 3 such that they are of the following forms 4x + 15y - 1

Explanation:

Let the number be N.
So N = 4x + 1 = 5y - 1
=> x=5y?24
y = 2 satisfies the equation. So minimum number satisfies both the equations is 9 and general format of the numbers which satisfies the equation = k. LCM (4, 5) + 9 = 20k + 9.
Now by putting values 1, 2, 3 . . . . for k, we get 29, 49, 69, 89. Of which only 29, 89 are primes.

Tags: TCS

Not Attempted

365. In this problem, ABS(x) provides absolute value of x, without regard to its sign. For example ABS(3) = ABS(-3) = 3
The graphs of y =  ABS(x  a) + b and y =  ABS(x  c) + d intersect at points (2,5) and (8, 3).
Find a + c

Explanation:

Both curves intersect at (2, 5)
So 5 =  |2  a| + b ? 5 + |2  a|  b = 0 - - - (1)
5 =  |2  c| + d ? 5 + |2  c|  d = 0 - - - (2)
Also,
3 =  |8  a| + b ? 3 + |8  a|  b = 0 - - - (4)
3 =  |8  c| + d ? 3 + |8  c|  d = 0- - - (4)
Equating 1 and 3, 5 + |2  a| = 3 + |8  a| ? 2 + |2  a| = |8 a|
So a = 4
Similarly if we equate 2 and 4, we get c = 4
a + c = 8

Tags: TCS

Not Attempted

366. There are ten points marked on a straight line, and another 11 points marked on a line parallel to this one. How many triangles could be formed using these points ?

Explanation:

10C2 * 11C1 + 10C1 * 11C2

Tags: TCS

Not Attempted

367. There are three boxes containing red, white and mixed balls, which are mislabelled. It is known that one of the boxes contains only white and one only red balls. The third contains a mixture of red and white balls. You are requested to correctly label the boxes with the labels Red, White and Red & White, by picking a sample of one ball from only one box. What is the label on the box you should sample ?

Explanation:

With the given information, it is not possible to decide which sample should be chosen.

Tags: TCS

Not Attempted

368. 40% of the employees of an organization are men, of these 75% are earning more than Rs. 25,000/- per year. If 45% of the total employees of the company earn more than Rs. 25,000/- per year, then find the fraction of women who earn less than Rs. 25,000/- per year.

Explanation:

Let 100 be the total strength ή 40 M, 60 W,
30 M (>25000), overall 45 (>25000) ή 15W must be > 25000
ή 15/60 = 1/4.
Hence Ans. 1 - 1/4 = 3/4

Tags: TCS

Not Attempted

369. A square field of side 500 m each is surrounded by a compound wall. A fence is to made such that it encloses a triangle formed by two compound walls and the fence. If the length of the fence is 100m then the maximum possible area in square metres of the triangle can be :

Explanation:

The triangle has to be max area and hence should be equilateral but cannot be as the angle in the sq shall be 90 degrees. Hence the triangle is isosceles with the angles as 90, 45, 45. Hence the other two sides shall be 50Φ 2 each. So area is 0.5 x base x ht etc. etc.

Tags: TCS

ShortCut
Not Attempted

370. Given n^2 = 123456787654321, find n.

Explanation:

Here is no explanation for this answer

ShortCut By :: VIKAS KUMAR SINGH

Solution: This question needs to be remembered as there is no appropriateΒ way to solve it.

11111111^2=123456787654321