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# Placement Questions & Answers :: TCS

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Not Attempted

381. The remainder when (7)^84 is divided by 342 is :

Explanation:

7^84 = (343) ^28
Now (343) º 1mod (342) Þ (343)^28 = 1^28 mod (342) = 1mod (342).

Tags: TCS

Not Attempted

382. Number of positive integers valued pairs (x, y) satisfying 4x – 17y = 1, x is <=1000 is :

Explanation:

4x - 17y = 1 and x £ 1000 Þ x = (1 + 17y) /4 Þ (1 + 17y)/4 £ 1000
Þ 1 + 17y £ 4000 Þ 17y £ 3999 Þ y £ 3999/17 Þ y £ 235.
Considering multiples of 4 (for x), we get 235/4 = 58.75. Hence 58 such pairs can exist.

Tags: TCS

Not Attempted

383. In a survey of political preferences, 78% of those asked were in favour of at least one of the proposals I, II and III. If 50% favoured the first proposal, 30% the second and 20% the third, 5% favoured all the three, what is the percentage of those asked favoured more than one of the three proposals.

Explanation:

Use direct formula for Union.
Þ 78 = 50 + 30 + 20 – x + 5. Ans. x – 5 = 22.

Tags: TCS

Not Attempted

384. The figure below shows 2 concentric circles with centre O. PQRS is a square inscribed in the outer circle. It also circumscribes the inner circle touching it at points B, C, D and A. What is the ratio of the Perimeter of the outer circle to that of the polygon ABCD.

Explanation:

If R is the radius of outer circle, then the side of the innermost square = R. Required answer = 2p r/4r = p /2.

Tags: TCS

Not Attempted

385. For a scholarship, n out of 2n + 1 students are to be selected. If the number of different ways in which at least one student can be selected is 63, then the maximum number of students to be selected are :

Explanation:

Here is no explanation for this answer

Tags: TCS

Not Attempted

386. Two stations Ahmedabad and Baroda are 100 kms apart. Navjeevan Express travelling at 50 kmph leaves Ahmedabad at 6.30 AM and Howrah-Ahmedabad Express travelling at 40 kmph leaves Baroda at 7 AM. At 7.30 AM Mr. Shah, the traffic controller, discovers that both the trains are travelling on the same line. How much time is available to avert an accident?

Explanation:

Let A, B and C be the points for the first train to start, second train to start and the trains to meet respectively. Distance travelled by first till 7:30 = 50 * 1 = 50.
Distance travelled by second till 7:30 = 40 * 0.5 = 20.
Remaining distance = 100 - 50 - 20 = 30.
Time available = [30/(50 + 40)] hrs. = 1/3 hrs. = 20 min.

Tags: TCS

Not Attempted

387. The speed of a railway engine is 42 kilometres per hour, with no compartment attached to it. The speed of the engine reduces directly as the square root of the number of compartments attached to it. The speed of the engine is 24 kilometres per hour with 9 compartments attached. Find out the maximum number of compartments with which the engine can still move.

Explanation:

Here is no explanation for this answer

Tags: TCS

Not Attempted

388. Given n = 1 + x and x is a product of four consecutive integers. Then which of the following is true ?
A. n is an odd integer B. n is prime C. n is a perfect square

Explanation:

Take any 4 values, like 2, 3, 4, 5 and get the answer a & c only.

Tags: TCS

Not Attempted

389. If |r - 6| = 11and |2q - 12| = 8, then what could be the minimum possible value of q / r ?

Explanation:

Here is no explanation for this answer

Tags: TCS

Not Attempted

390. Ram and Shakil run a race of 2000 meters. First, Ram gives Shakil a start of 200 meters and beats him by one minute. If, Ram gives Shakil a start of 6 minutes Ram is beaten by 1000 meters. Find the time in minutes in which Ram and Shakil can run the races separately.