# TCS Aptitude Practice 2

## TCS Aptitude Test 2

This is the

**Second Test**in the series "**Practice TCS Aptitude Test**". Please remember that you have to**make exam environment by yourself**. You can take the test as many times as you wish.*You may expect lots of questions from this Test with different data in your real Aptitude Test.*:)**Best of Luck !**
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Question 1 |

(40*40*40 – 31*31*31)/(40*40+40*31+31*31)=?

A | 8 |

B | 9 |

C | 71 |

D | 51 |

Question 1 Explanation:

a3-b3 =(a-b)*(a2+a*b+b2) so from this formula we will find (a-b) value

Question 2 |

A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey?

A | 2.4 mph |

B | 4.8 mph |

C | 4 mph |

D | 5 mph |

Question 2 Explanation:

Average speed =( 2*x*y)/(x+y)

Question 3 |

Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be divisible by4?

A | 31250 |

B | 97656 |

C | 78125 |

D | 97657 |

Question 4 |

On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?

A | 17 |

B | 21.25 |

C | 12.25 |

D | 14.05 |

Question 5 |

Sangakara and Ponting selects batting by using a dice, but dice is biased. So to resolve, Ponting takes out a coin. What is the probability that coin shows correct option?

A | 1/2 |

B | 1/6 |

C | 1/12 |

D | 6/10 |

Question 6 |

6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. Hence the current average age has become 45. Find the age of seventh person?

A | 43 |

B | 69 |

C | 52 |

D | 31 |

Question 6 Explanation:

Total age of 6 persons is x hours, after two years total age of 6 persons is x+12
Average age of 6 persons is after two years is 43
So (x+12)/6=43,then solve x,
After 7th person is added then (x+7th person age)/7=45
So we will get 7th person age easily

Question 7 |

There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled of the 21 hours, what is total duration of hours required to fill it completely?

A | 25 |

B | 26 |

C | 5 |

D | 27 |

Question 7 Explanation:

for every hour water in tank in B is doubled,
Let the duration to fill the tank B is x hours.
x/32 part of water in tank of B is filled in 21 hours,
Next hour it is doubled so,
2*(x/32) part i.e (x/16) part is filled in 22 hours,
Similarly (x/8)th part in 23 hours,(x/4)th part is filled in 24 hours,
(x/2)th part is filled in 25 hours, (x)th part is filled in 26 hours
So answer is 26 hours.

Question 8 |

A scientist was researching on animal behavior in his lab. He was very interested in analyzing the behavior of bear. For some reason he travelled 1mile in north direction & reached at North Pole. There he saw a bear. He then followed the bear around 1 hr with a speed of 2km/hr in east direction. After that he travelled in south direction & reached at his lab in2 hrs. Then what is the color of the bear?

A | White |

B | Black |

C | Gray |

D | Brown |

Question 9 |

A horse chases a pony 2 hours after the pony runs. Horse takes 3 hours to reach the pony.If the average speed of the horse is 81Kmph. Then what is the average speed of the pony?

A | 46.4 |

B | 51 |

C | 53.4 |

D | 48.6 |

Question 9 Explanation:

Horse takes 3 hours to cover the distance
Pony takes 3+2 =5 hours to cover the same distance,
Velocity=distance/time,
distance travelled by them is equal it is 81*3=243km,
speed of pony=243/5=48.6

Question 10 |

In the reading room of a library, there are 23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader?

A | 8 |

B | 16 |

C | 15 |

D | none |

Question 10 Explanation:

23 reading spots, Each reading spot consists of 9 chairs placed around it so There are some readers such that in each occupied reading spot there are different numbers of readers.
For each table different no of persons are sat,so for first table 1 person is sit,2nd table 2 persons are sit 36
readers means(1+2+3+4+5+6+7+8) so 8 tables are filled so 23-8=15 reading spots does not have single reader.

Question 11 |

If 10 programmers type 10 lines with in 10 minutes then to type 60 lines 60 minutes, how many programmers are needed?

A | 16 |

B | 6 |

C | 10 |

D | 8 |

Question 12 |

There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160… in tank B. (At the end of first hour, B has 10 litres , second hour it has 20, and so on). If tank B is 1/16 filled after 4 hours, what is the total duration required to fill it completely?

A | 8 hrs |

B | 25 hrs |

C | 27 hrs |

D | 5 hrs |

Question 13 |

Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side.
The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) is

A | 3 |

B | 5 |

C | 2 |

D | 1 |

Question 14 |

Susan made a block with small cubes of 8 cubic cm volume to make a block ,3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block?

A | 114 |

B | 135 |

C | 21 |

D | 71 |

Question 14 Explanation:

((3*9*5))-((3-2)*(9-2)*(5-2)) so answer is 114

Question 15 |

In a building there are 5 rooms. Each having a equal area . The length of the room is 4m and breadht is 5 m. The height of the rooms are 2m. If 17 bricks are needed to make a square meter then how many bricks are needed to make the floor of a particular room?

A | 320 |

B | 380 |

C | 340 |

D | 300 |

Question 15 Explanation:

area of the room is length*breadth=4*5=20m2,
For one square meter it takes 17 bricks, For 20m2 total no of bricks are 17*20=340

Question 16 |

Alok and Bhanu play the following min-max game. Given the expression
N = X – Y – Z
Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be

A | 2 |

B | 4 |

C | 9 |

D | -18 |

Question 17 |

A person is manufacturing a house. He bought 20 ropes of wire which has a density of 300 Kg/m3. The height of the building to be constructed is 40 m. If the capacity of the current passed in the wire is 20 A and the voltage capacity is 80 Volts. Then what will be the opposing force to the current if the wire is used?

A | 2 |

B | 4 |

C | 8 |

D | 1600 |

Question 17 Explanation:

ohms law V=IR, Opposing force of current is resistance, R=V/I

Question 18 |

Spores of a fungus, called late blight, grow and spread infection rapidly. These pathogens were responsible for the Irish potato famine of the mid-19th century. These seem to have attacked the tomato crops in England this year. The tomato crops have reduced and the price of the crop has risen up. The price has already gone up to $45 a box from $27 a box a month ago. How much more would a vegetable vendor need to pay to buy 27 boxes this month over what he would have paid last month?

A | $27 |

B | $18 |

C | $45 |

D | $486 |

Question 18 Explanation:

See last 3 lines only answer is 45-27=18

Question 19 |

Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.
Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 = i = 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coinis the third coin from the top. Then

A | In order to win, Alice's first move should be a 1-move |

B | In order to win, Alice's first move should be a 0-move |

C | In order to win, Alice's first move can be a 0-move or a 1-move |

D | Alice has no winning strategy |

Question 20 |

36 people {a1, a2, …, a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, …, {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is

A | 13 |

B | 18 |

C | 11 |

D | 12 |

Question 21 |

A toy train produces 10 different sounds when it moves around a circular toy track of radius 5 m at 10 m per min. However, the toy train is defective and it now produces only 2 different tunes at random. What are the odds that the train produces for consecutive music tones of the same type?

A | 1 in 16 |

B | 1 in 4 |

C | 1 in 8 |

D | 1 in 32 |

Question 21 Explanation:

Initially it produces 10 sounds and the defect came and now it produces only 2 different sounds and consecutively so there are totally 2 sounds and we have to select on sound and the probability is ½ and it produces the same sound concecutively for 2 times so the probability becomes ½*1/2 ie ¼

Question 22 |

Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that you will provide the exact change required and carry as less coins as possible?

A | 4 |

B | 5 |

C | 6 |

D | 7 |

Question 23 |

John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?

A | loss 23 |

B | gain 23 |

C | gain 54 |

D | Loss 54 |

Question 23 Explanation:

Loss= Change of money given to john(4$)+actual cycle cost 19$=23$ loss

Question 24 |

It is the class with the seating arrangement in 4 rows and 8 columns. When the teacher says 'start' the girl who is sitting in first row and first column will say 1, then the next girl sitting behind her will say 4, the next girl sitting behind that girl will say 7, in a particular order each girl is telling a number, the following girls told 10, 13 next turn is yours what u will say?

A | 15 |

B | 17 |

C | 16 |

D | 14 |

Question 24 Explanation:

It is a series 1, 4, 7, 10, 13

Question 25 |

A girl has to make pizza with different toppings. There are 8 different toppings. In how many ways can she make pizzas with 2 different toppings?

A | 16 |

B | 56 |

C | 112 |

D | 28 |

Question 25 Explanation:

8c2 = 28

Question 26 |

A, B, C weighted separately 1st A, B, C ,then A & B together, then B & C together,then C & A together at last A,B and C together, the last weight was 167, then what will be the average weight of the 7 reading?

A | 95 |

B | 95.428 |

C | 95.45 |

D | 94 |

Question 26 Explanation:

Last weight ABC is 167 i.e three persons weight is 167.
In first 6 combinations A,B,C,AB,BC,AC i.e A checked weight for 3 times totally like that B and C also so total weight in all 7 combinations is (4*167)
Average is (668/7)=95.42

Question 27 |

A triangle is made from a rope. The sides of the triangle are 25 cm, 11 cm and 31 cm. What will be the area of the square made from the same rope?

A | 280.5625 |

B | 240.5625 |

C | 280.125 |

D | 240 |

Question 27 Explanation:

Add all sides 25+11+31 to get rope length rope length =67,rope is made in to as square
So side of square is 67/4=16.75 and so area is 16.75*16.75=280.5625

Question 28 |

A Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?

A | 5 |

B | 10 |

C | 15 |

D | insufficient data |

Question 29 |

(1/2) of a number is 3 more than the (1/6) of the same number. What is the number?

A | 6 |

B | 7 |

C | 8 |

D | 9 |

Question 29 Explanation:

Let the number be x,
((1/2)*x)=3+(1/6)*x,
Then solve x

Question 30 |

In a school, for a student out of 100 he got 74 of average for 7 subjects and he got 79 marks in the 8th subject. What is the average of all the subject?

A | 76.251 |

B | 80.25 |

C | 74.265 |

D | 74.625 |

Question 30 Explanation:

Total marks=74*7=518, then average=(518+79)/8=74.625

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