# TCS Practice test 6

If A is traveling at 72 km per hour on a highway. B is travelling at a speed of 21 meters per second on a highway. What is the difference in their speeds in meters per second?

If the length of a rectangle is increased by 30% and the width is decreased by 20%, then the area is decreased by

Wind flows at 160 miles in 330 minutes, for traveling 80 miles how much time does it require?

If the price of petrol increases by 25%, by how much must a user cut down his consumption so that his expenditure on petrol remains constant?

One rectangular plate with length 8inches, breadth 11 inches and 2 inches thickness is there. What is the length of the circular rod with diameter 8 inches and equal to volume of rectangular plate?

If the cost price of 20 articles is equal to the selling price of 16 articles, what is the percentage of profit or loss that the merchant makes?

Joe&apos;s father will be twice his age 6 years from now. His mother was twice his age 2 years before. If Joe will be 24 two years from now, what is the difference between his father&apos;s and mother&apos;s age?

Find odd man out of the series 10, 25, 45, 54, 60, 75, 80

One fast typist type some matter in 2hr and another slow typist type the same matter in 3hr. If both do combine in how much time they will finish?

A is twice efficient than B. A and B can both work together to complete a work in 7 days. Then find in how many days A alone can complete the work?

Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:

A power unit is there by the bank of the river of 750 meters width. A cable is made from power unit to power a plant opposite to that of the river and 1500mts away from the power unit. The cost of the cable below water is Rs. 15/- per meter and cost of cable on the bank is Rs.12/- Per meter. Find the total cost of laying the cable

Select the Synonym for the given word from the five options Penitence:

A ship leaves on a long voyage. When it is 18 miles from the shore, a seaplane whose speed is 10 times that of the ship is sent to deliver mail. How far from the shore, does the seaplane catch up with the ship?

Present ages of Sameer and Anand are in the ratio of 5: 4 respectively. Three years hence, the ratio of their ages will become 11: 9 respectively. What is Anand&apos;s present age in years?

Find odd number from series 8, 27, 64, 100, 125, 216, 343

Badri has 9 pairs of dark Blue socks and 9 pairs of Black socks. He keeps them all in a same bag. If he picks out three socks at random what is the probability he will get a matching pair?

A face of the clock is divided into three parts. First part hours total is equal to the sum of the second and third part. What is the total of hours in the bigger part?

blood groups of 200 people is distributed as follows: 50 have type A blood, 65 have B blood type, 70 have O blood type and 15 have type AB blood. If a person from this group is selected at random, what is the probability that this person has O blood type?

The Ratio of Ages of Mona and Sona is 4:5. Twelve Years hence, their ages will be in the ratio of 5:6. What will be Sona&apos;s age after 6 years?

Three math classes: X, Y, and Z, take an algebra test. The average score in class X is 83. The average score in class Y is 76. The average score in class Z is 85. The average score of all students in classes X and Y together is 79. The average score of all students in classes Y and Z together is 81.

What is the average for all the three classes?

A can copy 50 papers in 10 hours while both A &amp; B can copy 70 papers in 10 hours. Then how many hours required for B to copy 26 papers?

A traveller walks a certain distance. Had he gone half a kilometer an hour faster, he would have walked it in 4/5 of the time, and had he gone half a Kilometer an hour slower, he would have walked 2 ½ hr longer. What is the distance?

A car has run 20000 miles using 5 tires interchangeably. If all the tires were used equally in sustaining this mileage, then how many miles did each tire sustain?

One train leaves Los Angeles at 15 mph heading for New York. Another train leaves from New York at 20mph heading for Los Angeles on the same track. If a bird, flying at 25mph, leaves from Los Angeles at the same time as the train and flies back and forth between the two trains until they collide, how far will the bird have traveled?

The cost of tickets for a play is \$3.00 for adults and \$2.00 for children. 350 tickets were sold and \$950 was collected. How many tickets of each type were sold?

The average weight of a class of 24 students is 36 years. When the weight of the teacher is also included, the average weight increases by 1kg. What is the weight of the teacher?

Pauline swam for 100 seconds at a speed of 2.5 m/s. Then, she swam for another 100 seconds at a speed of 1.5 m/s. Find Pauline&apos;s average speed.

Boys are sitting in a circle and facing towards the centre of the circle.Rajeev is sitting to the right of Mohan but he is not just at the left of Vijay.Suresh is between Babu and Vijay.Ajay is sitting to the left of Vijay.Who is sitting to the left of Mohan?

A fort has provisions for 60 days. If after 15 days 500 men strengthen they and the food last 40 days longer, how many men are there in the fort?

A red house is built from red bricks. A blue house is built from blue bricks. A white house is built from white bricks. Then what is a greenhouse made from?

Pointing to a photograph says, &quot;He is the son of the only son of my grandfather.&quot; How is the man in the photograph related to Lata?

The average of 5 quantities is 10 and the average of 3 of them is 9. What is the average of the remaining 2?

A man wanted to enter into an exclusive club but did not know the password that was required. He waited by the door and listened. A club member knocked on the door and doorman said &quot;twelve&quot;. The member replied, &quot;SIX&quot; and was let in. A second member came to the door and doorman said, &quot;Six.&quot; The member replied, &quot;three&quot; and was let in. The man thought he heard enough and walked up to the door and knocked. The doorman said, &quot;ten&quot; and the man replied, &quot;five.&quot; But he was not let in. What should have he said?

Find (4x+2y)/ (4x-2y) if x/2y=2

The IT giant Tirnop has recently crossed a head count of 150000 and earnings of \$7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate.Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total?

Two bowls are taken, one contains water and another contains tea. One spoon of water is added to second bowl and mixed well, and a spoon of mixture is taken from second bowl and added to the first bowl. Which statement will hold good for the above?

A die is rolled and a coin is tossed. Find the probability that the die shows an odd number and the coin shows a head.

Rearrange and categorize the word &apos;RAPETEKA&apos;?

A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted?

10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true?

A. All suspects are lying or the leftmost suspect is innocent.

B. All suspects are lying and the leftmost suspect is innocent

Alok is attending a workshop &quot;How to do more with less&quot; and today&apos;s theme is Working with fewer digits . The speakers discuss how a lot of miraculous mathematics can be achieved if mankind (as well as womankind) had only worked with fewer digits. The problem posed at the end of the workshop is How many 5 digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetition) that are divisible by 4? Can you help Alok find the answer?

Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?

The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?

Alok and Bhanu play the following min-max game. Given the expression N = 9 + 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 sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: &apos;Exactly n of the statements on this sheet are false.&apos; Which statements are true and which are false?

A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?

On planet zorba, a solar blast has melted the ice caps on its equator. 8 years after the ice melts, tiny plantoids called echina start growing on the rocks. echina grows in the form of a circle and the relationship between the diameter of this circle and the age of echina is given by the formula

d = 4 * v (t - 8) for t = 8

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 8mm. How many years back did the solar blast occur?

After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?

The IT giant Tirnop has recently crossed a head count of 150000 and earnings of \$7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate.Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How many programmers required to write 72 lines of code in total in 72 minutes?

A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40, statement n says &quot;At least n of the statements on this sheet are true.&quot; Which statements are true and which are false?

There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is

Alok and Bhanu play the following min-max game. Given the expression N = 12 + 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

Planet fourfi resides in 4-dimensional space and thus the currency used by its residents are 3-dimensional objects. The rupee notes are cubical in shape while their coins are spherical. However the coin minting machinery lays out some stipulations on the size of the coins.

• The diameter of the coins should be at least 64mm and not exceed 512mm.

• Given a coin, the diameter of the next larger coin is at least 50% greater.

• The diameter of the coin must always be an integer.

You are asked to design a set of coins of different diameters with these requirements and your goal is to design as many coins as possible. How many coins can you design?

Anoop managed to draw 7 circles of equal radii with their centres on the diagonal of a square such that the two extreme circles touch two sides of the square and each middle circle touches two circles on either side. Find the ratio of the radius of the circles to the side of the square.

The IT giant Tirnop has recently crossed a head count of 150000 and earnings of \$7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate.Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How many lines of code can be written by 72 programmers in 72 minutes?

On the planet Oz, there are 8 days in a week- Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day. Find the approximate angle between the hands of a clock on Oz when the time is 12:40 am.

The pacelength P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to Bernard&apos;s walking. Calculate Bernard&apos;s walking speed in kmph.

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&apos;s a player&apos;s turn then the player wins the game. Initially, the gold coinis the third coin from the top. Then

Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is

A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

One day Rapunzel meets Dwarf and Byte in the Forest of forgetfulness. She knows that Dwarf lies on Mondays, Tuesdays and Wednesdays, and tells the truth on the other days of the week. Byte, on the other hand, lies on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Rapunzel – Dwarf: Yesterday was one of those days when I lie. Byte: Yesterday was one of those days when I lie too. What day is it?

10 people meet and shake hands. The maximum number of handshakes possible if there is to be no &quot;cycle&quot; of handshakes is (A cycle of handshakes is a sequence of k people a1, a2, ......, ak (k &gt; 2) such that the pairs {a1, a2}, {a2, a3}, ......, {ak-1, ak}, {ak, a1} shake hands)

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 1/32 of B&apos;s volume is filled after 3 hours, what is the total duration required to fill it completely?

A sheet of paper has statements numbered from 1 to 30. For all values of n from 1 to 30, statement n says &quot;At most n of the statements on this sheet are false&quot;. Which statements are true and which are false?

A hunter leaves his cabin early in the morning and walks one mile due south. Here he sees a bear and starts chasing it for one mile due east before he is able to shoot the bear. After shooting the bear, he drags it one mile due north back to his cabin where he started that morning. What color is the bear?

For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A&apos;s chances of winning. Let&apos;s assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?

A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race?

A work has to be completed by 12 persons in 15 days. If three persons are absent from first day itself, then by what percentage should the remaining

people increase their rate of working in order to complete the work in time?

There is one wooden cylinder of height 7cm and radius 3cm. Find the volume of the biggest possible combination of a solid hemisphere and a solid cone

which can be made from it(in ?cm3)?

Consider the statement and decide which of the given assumptions is implicit

Statement: “You must learn to refer to dictionary if you want to become a good writer”-A advises B

Assumptions: I. Only writers refer to the dictionary II. All writers good or bad refer to the dictionary

a. Assumption I is implicit

b. Assumption II is implicit

c. Either assumptions I or II is implicit

d. Neither assumptions I nor II is implicit

If N chocolates are divided among 6 boys, each gets an equal number of chocolates. Find N, if it is a perfect cube and is divisible by the first three perfect squares?

There are 56 rooms in the ground floor of a 12 storied building. The number of rooms in each floor is 2 more than the floor just below.

How many rooms are there in the building?

There are some monkeys on two trees T1 and T2. If two monkeys jump from T1 to T2 the number of monkeys on each tree will be equal. If two monkeys jump from T2 to T1, number of monkeys on T1 would be double the number of monkeys on T2. Find the initial number of monkeys on T1 and T2 respectively

A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says:

&apos;Exactly n of the statements on this sheet are false.&apos; Which statements are true and which are false?

a. All the statements are false

b. The 39th statement is true and the rest are false

c. The odd numbered statements are true and the even numbered statements are false

d. The even numbered statements are true and the odd numbered statements are false

A man standing at a point A can take one step to the right with a probability of 1/3 and one step to the left with a probability of 2/3. The process continues in the same manner after each step. What is the probability that he is at point A after 23 steps?

a 1/323

b 1/311.1/212

c 23C11 (1/323)

d None of these

On planet Zoisa, where d represents the diameter in mm and t the number of years since the solar blast. The blast occurred 24 years back.

Narayan recorded the radius of some Jinosha at a particular spot. What would be the radius of Jinosha, after Narayan&apos;s recording?

Amit throws a biased coin on which the head appears in 65% of the situations. In a game involving this coin, if Amit is paid Rs.15 per head and he has to pay Rs.20 for a tail, then in the long run, per game Amit makes an average

Twelve men can complete 24 units of work in some days. If the volume of work is 100% more and the number of men is 33(1/3)% less, eight more days are required to complete the work. In how many days can fifty percent of the original number of men complete the original work?

A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40, statement n says &quot;At least n of the statements on this sheet are true.&quot; Which statements are true and which are false?

a)The odd numbered statements are true and the even numbered are false

b)The even numbered statements are true and the odd numbered are false.

c)The first 13 statements are true and the rest are false.

d)The first 26 statements are false and the rest are true.

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 3 and 5?

In a triangle, the sum of the lengths of two sides is v3 times the length of the third side. Which of the following is a possible combination of the angles of the triangle?

a) 90*, 45*, 45*

b) 90*, 60*, 30*

c) 60*, 60*, 60*

d) None of these

Which of the following can be a product of two 3-digit numbers **3 and **8?

On the planet Lunar eclipse, there are 8 days in a week- Sunday to Saturday and another day called Lunar day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day. Find the approximate angle between the hands of a clock on Lunar eclipse when the time is 12:40 am.

The IT giant Tirnop has recently crossed a head count of 150000 and earnings of \$7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate.Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How many lines of code can be written by 72 programmers in 72 minutes?

Vivek managed to draw 7 circles of equal radii with their centres on the diagonal of a square such that the two extreme circles touch two sides of the square and each middle circle touches two circles on either side. Find the ratio of the radius of the circles to the side of the square.

a)1:(2+ 6v2)

b)1:(4+ 7v3)

c)(2+ 7v2):1

d)1:(2+ 7v2)

A man riding a cycle at 12km/hr can reach a town in 4 hours 30 min. If he is delayed by 1 hour 30min.at the start, then in order to reach his destination in time, he should ride with a speed of

21In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there ?

Re-arrange and categorize the word IARLGOTLA

Two vessels A and B contain milk and water mixed in the ratio 4:3 and 2:3. In what ratio must these mixtures be mixed to form a new mixture containing half milk and half water:

There are 12 pipes that are connected to a tank. Some of them are fill pipes and the others are drain pipes. Each of the fill pipes can fill the tank in 8 hours and each of the drain pipes can drain the tank completely in 6 hours. If all the fill pipes and drain pipes are kept open, an empty tank gets filled in 24 hours. How many of the 12 pipes are fill pipes?

Sharma and his wife appear in an interview for two vacancies in the same post. The probability of Sharma&apos;s selection is (1/7) and the probability of his wife&apos;s selection is (1/5). What is the probability that only one of them is selected ?

A speaks truth in 75% cases and B in 80% of the class. In what percentage of cases are they likely to contradict each other, narrating the same incident ?

On an empty tank, an inlet pipe &apos;A&apos; is opened which can fill the tank in 42 minutes. After 12 minutes an outlet pipe &apos;B&apos; is opened which can empty the tank in 30 minutes. After 6 minutes another inlet pipe &apos;C&apos; opened into the same tank, which can fill the tank in 35 minutes. What is the total time taken to fill the tank ?

Aiswarya and Anaswara started traveling from the point &apos;P&apos; at 8 a.m. in opposite directions at the speed of 3m/s and 4m/s respectively. On the way Anaswara met Albin who was traveling in the opposite direction at the speed of 8m/sec, at 8.15 a.m.. What will be the Angle between minute hand and hour hand when Albin meet Aiswarya.

a)198*

b)240*

c)42*

d)24*

From a pack of 52 cards , two cards are drawn together at random. What is the probability of both the cards being Queen.

Tom lies on Mondays, Tuesdays and Wednesdays, and tells the truth on the other days of the week. Jerry, on the other hand, lies on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Mikie - Tom: Yesterday was one of those days when I lie. Jerry: Yesterday was one of those days when I lie too. What day is it?

On a Christmas winter, a hunter leaves his cabin early in the morning and walks one mile due North. Here he sees an owl and starts chasing it for one mile due west before he is able to shoot the owl. After shooting the owl, he picks it one mile due south back to his cabin where he started that morning. What color is the owl?

A car left Canterbury at 7.12 am and arrived in Birmingham, 180 miles distant at 10.57 am. What was its average speed in miles per hour?

In the following experiment specify appropriate sample space

A person is nothing down the number of accidents along a busy highway during a year

Description:

This test 100 questions to be answered in 3 hours. Negative marking of 1/3 mark is applicable per incorrect question.
Cut off mark will be around 80 marks. The test is based on previous exam pattern of TCS.
All the best !

Discussion

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1371 days 16 hours 11 minutes ago

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