TCS Digital Placement Papers and Questions Answers

Let the length of the track be x. When they meet at the first meeting point, Brinda has run 100 meters, while Shanti has run x/2 100 meters. By the second meeting point, Shanti has run 150 meters, while Brinda has run x 150 meters.

Since they run at a constant speed, we can set up a proportion:

Distance covered by Brinda during first Meet/Distance Covered by Shanti during first meet = Distance covered by Brinda during Second Meet/Distance Covered by Shanti during the second meet

100/ (x 150) = (x/2 100) / 150

We get, X = 350.

The only combination when Ria has twice as many marbles as Ruhi as they pick three and two bags respectively is when Ria picks the bags with 34, 25 and 19 bags, while Ruhi picks the bags with 21 and 18 marbles.

The bag left out has to be the bag with chipped marbles.

Thus, there are 23 chipped marbles.

After meeting together they meet again in 14-5 = 9 sec

so with in 9 sec they completed on a lap together

one lap = 135 m

a + b = 135/9

=> a + b = 15 m/s - eq 1

first time they meet after 5 sec

so ditance covered by both = (15) * 5 = 75m

Distance between them was 75m in that direction

in other direction distance was 135 - 75 = 60 m

Now if b had started in opposite direction so to meet a

he has to cover the distance covered by a + 60m

b*60 = (a)60 + 60

=> (b-a)60 = 60

=> b-a = 1 - eq 2

Adding eq 1 + eq 2

2b = 16 m/s

=> b = 8 m/sec

Let the length, breadth, and height of the room be 3, 2, 1 unit respectively.
Area of walls = 2(l + b) × h = 2(3 + 2) × 1 = 10 sq. unit.
Now, the length, breadth, and height of the room will become 6, 1, and (1/2) respectively.
Now, area of walls = 2(6+1)×(1/2) = 7 sq. unit.
% decrease in the area of walls = (10−7)×100/10 = 30%

Given 1 ,7 ,8 ,49 ,50 ,56 ,57 ,343 ,344 ,350 ,351 ,392 ,393 ,399 ,400 ,…….. The above sequence contains sums of distinct powers of 7 in the increasing order (7^0, 7^1, 7^1 + 7^0, 7^2, etc). What is the value of term number 36?

Now seven power is present in 1st, 2nd,4th, 8th, 16th, 32nd, 64th. Power of 7 will be 0,1,2,3,4,5,6

Now term 1,2,4,8,16,32 = power to 7-----------(1)

We need to find 38 th term

38 th term = 32 th term + 6 th term

By eqn 1 , 32 th term = 7^5 and 6 th term is 56

So 36 th term = 7^5 + 49 = 16856

= 16856

So we can do it as

32nd term = 7^5

33 rd term = 7^5 + 1

34 th term = 7^5 + 7

35 th term = 7^5 + 8

36 th term = 7^5 + 49 = 16,856

(I) 6p^{2} + p - 1 = 0

By middle term splitting (factorization)

(3p - 1)(2p + 1)

p = \frac{1}{3},-\frac{1}{2}

(II) 14q^{2}+9q+1 = 0

By middle term splitting (factorization)

(7q + 1)(2q + 1)

q = -\frac{1}{7},-\frac{1}{2}

therefore p≥q

Let the age of Anubhav be x years.

Then the age of Akshat is (56 - x) years.

After the time span of 4 years,

3(x + 4) = 56 - x + 4 = 48

4x = 56 + 4 - 12

x = 12 years

Let the price be Rs 100 per 10 kg packet and the sales be 100 packets.

So the money obtained after selling all the 100 packets

100 x 100 = Rs 10,000

Now, the increased price is Rs 110 and the sales are 95 packets

110 x 95 = Rs 10,450

profit = 10,450 - 10,000 = Rs 450

∴ % profit = \frac{450\times 100}{10000} = 4.5%

This problem can be solved using a theorem which states that

"If two Quantities X and Y are in the ratio x:y. Then

X + Y : X - Y :: x + y : x - y"

Therefore following the above theorem we have,

9 - 5 = Rs 4200 ∴ 5 = \frac{4200}{9 - 5}\times 5 = Rs 5250

For each selection of two persons, there will one "Wakanda Forever". So, no. of "Wakanda Forever" in the part ^{n}C_{2}, where n = no. of persons

Now, ^{n}C_{2} = 210 (given)

or, \frac{n\times (n - 1)}{2} = 210

or, n x (n - 1) = 2 x 2 x 3 x 5 x 7 = 21 x 20

n = 21

Answer - C, B, D, A

The first sentence should be C, because it starts with a date and introduces Darwin who is the main subject of the passage.

Sentence C and B has a link where, statement C introduces us to the spiders dangling from short silk threads and Statement D explains how Darwin (the subject) reasoned where the spiders came from on the vessel.

Sentence D follows next because it gives us another idea of what the scientists think that could be the reason how spiders landed there (spiders silk thread caught the wind and bore them aloft)

Finally we end the passage with sentence A which talks about what the 'others' believed.

Here, Darwin is the main subject, then come the scientists, and then the others.

Answer - to take into account

Reckon with means to take something into account.
It says that the football experts now agree that they had not taken into the account (reckoned or considered) the skill and strategies of the team earlier.

Answer - From reducing blood pressure to alleviating symptoms of depression

From is used with the prepositions 'to' and 'until' to mark the beginning and ending point of time of an action or state. Generally, 'from...to' is used with past tenses.

Answer - Sentimental

Maudlin means to be mushy, sentimental or emotional.

Not even an actor of Ranbir’s caliber can elevate scene this maudlin.

Answer - war between 2 states on the instigation of other non-involved power

Proxy means the authority to represent someone else, hence,

Proxy war means a war instigated by a major power which does not itself become involved.

Here, the major powers remain uninvolved in the actual war. These are generally smaller countries that fight on the commands of bigger powers to help them in some way.

Answer - Entrusting

Entrusting means to handover something to the person/organization with complete trust.

Imposing is grand and impressive in appearance

Holding means a position that a person is designated to.

Allocating means to distribute (resources or duties) for a particular purpose.

Here, entrusting is more appropriate because the context says about the insulated (heated up) policies or complex government functions should be taken away from tumult (a state of confusion or disorder) partisan politics and entrusted to the technocrats (government officials or policymakers, known as technocrats, are chosen by some higher authority due to their technical skills or expertise in a specific domain.)

Answer - extent

Extent means the particular degree to which something is or is believed to be the case.

Here, it reflects, that the act of entrusting the policy making function to the technocrats can raise a heated argument that can go to the extent of breaking lines of accountability of the policy makers to the people.

Length, stretch and term do not fit perfectly because they fail to rightly support the cause of the argument.

Answer - Setting

Monetary policy setting means the infrastructure or the set up of policies related to monetary aspects of the government.

Beginning means to start.

building means the action or trade of constructing something

Initiate means cause (a process or action) to begin.

Answer - belongs

Here, belongs to this school means the the school of thought which implies that the proposal of the RBI committee where even the governor's vote can be overruled. This policy of the school is a bad idea and should not be applied in the current governance.

associates, concerned and agrees do not fit right into the blank because the meaning of the context will not remain the same then.

Answer - Bare necessities are becoming extremely scarce in the race of survival.

Here, according to the passage, both water and air have been used to describe what the future beholds for us, i.e. scarcity of everything even clean, fresh air to breathe and pure water to drink.

We cannot choose one from either of the two, though we can filter water in different ways, people are now used to the machine life. So an AC and a water filter is equally necessary. The temperatures are increasing and the water is drying.

Hence, surviving these conditions is going to be difficult where the bare necessities like air and water are getting scarce.