Chapter 14: PUZZLE

Introduction

• Give answer




• a. if only conclusion I follows




• b. if only conclusion II follows




• c. if either conclusion I or II follows




• d. if neither conclusion I nor II follows




• e. if both conclusions follow

Read the text and the numbered statements carefully and answer the questions given at the end.

Four people of different nationalities live on the same side of a street in four houses each of different color.
Each person has a different favorite drink. The following additional information is also known:
The Englishman lives in the red house.
The Italian drinks tea.
The Norwegian lives in the first house on the left.
In the second house from the right they drink milk.
The Norwegian lives adjacent to the blue house.
The Spaniard drinks fruit juice.
Tea is drunk in the blue house.
The white house is to the right of the red house.

Q.The color of the Norwegian’s house is

1. yellow
2. white
3. blue
4. red

Ans.a

Q.Milk is drunk by

1. Norwegian
2. English
3. Italian
4. None of the above

Ans.b

Q.The Norwegian drinks

1. milk
2. cocoa
3. tea
4. fruit juice.

Ans.b

Q.Which of the following is not true?

1. Milk is drunk in the red house.
2. The Italian lives in the blue house.
3. The Spaniard lives in a corner house.
4. The Italian lives next to the Spaniard.

Ans.d

• A,B,C,D,E,F are cities.
• A isn't a hill station
• B, E aren't historical places
• D isn't industrial
• A, D aren't historical
• A, B aren't alike

1. Which two cities are industrial -  A, E
2. Which two cities are historical - C, F
3. Which cities are hill stations - B, D

• T travelled by plane is true ?
• Which city did S go to and how ?
• Delhi was reached using bus ?
• Person going to delhi went how?
• Who traveled to Delhi?

1. who was teaching maximum subjects
2. who was teaching geography and hindi
3. more than two teachers were teaching which subjects
4. A,B,D were teaching which subjects
5. who were teaching less than two subjects

1. Raj's girl friend is ?
2. which boy sushma is friendly with?
3. who is poonam's boyfriend
4. who doesn't like sushma and vimla

1. What is asha's choice
2. jayant was born in which month and likes what
3. what does kamal like
4. in which month kamal was born

1. who studies english
2. English student stays in hostel ?
3. what does Q study
4. which students stay at home

Seating Or Placements

• who is at extreme left
• who is in middle

A.

1. who is between rohit and manish
2. gaurav is not at equal distance from
3. gaurav is sitting to ______ of priya
4. the angle between gaurav and manish in clockwise direction is?

1. what is position of Mercedes
2. which cars are on immediate either side of Cadillac
3. which cars are to right of ambassador

Comparison type questions

1. who's the shortest
2. who's in the middle
3. who's second tallest
4. who is taller than anuj but shorter than mohit

1. in increasing order of height who shall be at third position
2. in descending order of age who shall be first

• who is highest run scorer
• who has taken lowest wickets

• who is taller than R but shorter than P
• in descending order by height who will be in third place
• who plays basketball
• what does S play

• play immediately after B
• play is on monday
• D is between which plays
• order of plays
• play C cannot be staged on which days other than tuesday

• Doctor P visits in between which pair of doctors.
• at what time the visit of doctor R is over on sunday.
• at what time visit of doctor T would be over on saturday
• if lunch break and subsequent visiting hours are reduced by 15mins at what time doctor U is expected to attend dispensary.

Q. 5 friends pursuing 5 different professions live in 5 different cities such that.

1. Eshwar and chandra dont live in lucknow or patiala and neither is an architect or a doctor.


2. EAbhijit nor bhushan are neither an artist or engineer and they dont live in Delhi or Lucknow


3. Person living in lucknow is neither an artist nor an engineer


4. Abhijit doesnt live in chennai and bhushan isnt a doctor. The marketing professional doesnt live in Patiala or Mumbai.


5. Eshwar isnt an artist. The artist doesnt live in Delhi

Who lives in Lucknow ?

Answer: Only Deepak can live in Lucknow

Q. In 2001, sales in fruits, vegetables, medicinal plants, mics and chicken were Rs. 6250000, Rs. 2200000, Rs. 1880000, Rs. 940000. Chicken accounted for 30% of the total sales in that year. In 2002 the total sales were increased by 10%, while fruits and vegetables grew by 8% and 10% resp. Medicinal crops fell by Rs. 130000 and chicken was at Rs. 5360000. The next year, total sales remained same as in 2002 but fruits fell by Rs. 220000, vegetables by Rs. 320000, medicinal plants by Rs. 100000 and miscellaneous by Rs. 120000

What is value of chicken in 2003?

Answer: Rs. 6120000

Q.Read the table and answer the questions?

Q.Which state showed a higher % increase in female literacy than total literacy. Maharashtra, himachal, kerela, karnataka

Answer:Mah and Kerela

Q.For state showing minimal % increase in total literacy , the ratio of % increase in total literacy to change in % population growth rate is

Answer:558.5

Q.The ratio of % increase in female literacy to % increase in total literacy is max for which state?

Answer:Kerela

Q.The ratio of average of % increase in female literacy to average % increase in female literacy of those states where % increase is more than overall average is

Answer:0.89

Q.The ratio of average % increase in female literacy to average of % increase in total literacy is

Answer:0.968

Q.State that exhibits highest total literacy is

Answer:Cant be determined.

Q.Read the data and answer

Q.The delivery charges for parcel are lowest at which cities

Answer: Allahabad - kolkata

Q.For sending parcel from kolkata the least charges shall be for

Answer: Allahabad

Q.Charges of sending parcel from delhi to mumbai are

Answer: 25

Q.If cost to send parcel is proportional to distance between cities so mumbai is farthest from

Answer: Delhi

Q.Cost of sending parcel from mumbai to allahabad and then from allahabad to lucknow varies from the cost of sending parcel directly from mumbai to lucknow by

Answer: no variance

Q.Mum - Abad- Lucknow, Mum - Abad - Delhi, Kol - Abad- Lucknow. Via which route shall sending a parcel from first to third directly shall be same as sending it through middle city.

Answer: All

Q. Read the table and answer

Q.Which age group accounts for max population in the state.

Answer: 0-15

Q.Out of every 4 lakh people, the people below 25 is approx

Answer: 191000

Q.If 40 million are belwo 36 then how many are between 56-65

Answer: 3.15

Q.If 20 million are in the age group 56 and above then what is difference between total number in age group 16-25 and 46-55

Answer: 11.2

Q.If difference between total people in age group 46-55 and 26-35 is 3.9 million then total population is approx

Answer: 130 million

Q.What is ratio of number of people between 15-35 and people above 35

Answer: 1:1

Each question contains six statements followed by four sets of combinations of three. Choose the set in which the statements are logically related.

Q.A. All boys are good.
B. Some girls are bad.
C. Good people are educated.
D. Boys are educated.
E. Ram is an educated boy.
F. Lata is an educated girl.

1. BCF
2. ACD
3. DEF
4. ADC

Ans.b

Q.A. All who are sincere are graduates.
B. Some graduates are not sincere.
C. All who are sincere are dull.
D. All graduates are dull.
E. Some who are dull are graduates.
F. No one who is dull is sincere

1. BEF
2. ADF
3. ABF
4. ADC

Ans.d

Q.A. Sham won a lottery.
B. Sham lost in a chess game.
C. Sham is not intelligent.
D. One need not be intelligent to win a lottery.
E. One need not be intelligent to win a chess game.
F. Sham plays chess.

1. BEF
2. ACD
3. BDE
4. BDF

Ans.b

Q.A. Good managers are intuitive.
B. Some managers are women.
C. Supriya is a good manager.
D. Supriya is a woman.
E. Some women are intuitive.
F. Supriya is intuitive

1. BCE
2. ABD
3. ACF
4. ADF

Ans.c

Q.A. Some college athletes are professionals.
B. No college athlete is a professional.
C. Some professionals are well paid.
D. All professionals are well paid.
E. All well – paid persons are professionals.
F. No well – paid person is a college athlete

1. BEF
2. ABF
3. BDF
4. ACF

Ans.a

Q.A. Some intolerant are poor – thinkers.
B. Some poor – thinker is intolerant.
C. All people with high ideals are intolerant.
D. No poor thinker is intolerant.
E. No poor thinker has high ideals.
F. Some people with high ideals are not poor thinkers.

1. CDE
2. CDF
3. ABD
4. BCF

Ans.a

Q.A. All engineers can sing.
B. No music lover can sing.
C. All who can sing are music lovers.
D. All music lovers can sing.
E. Some who can sing are engineers.
F. All engineers are music lovers.

1. ACE
2. ACF
3. ABF
4. ACD

Ans.b

Q.A. Some well-dressed people are sociable.
B. All sociable people are well-dressed.
C. Some well dressed people are dull.
D. No dull person is well-dressed.
E. Some sociable people are dull.
F. Some dull ones are well-dressed

1. ACE
2. BCE
3. ADE
4. BEF

Ans.d

Q.A. Iran and Iraq are members of the UN.
B. Iran and Iraq are not friends.
C. Iran and Iraq are neighbours.
D. Some UN members are friends.
E. Not all members of the UN are friends.
F. All neighbours are not friends.

1. ABE
2. ABD
3. CDF
4. AEF

Ans.a

Logical Puzzle - CAT

Kya –Kya is an obscure island which is inhabited by two types of people: the ‘Yes’ type and the ‘No’ type. Native of type ‘Yes’ ask only questions the right answer to which is ‘Yes’ while those of type ‘No’ ask only questions the right answer to which is ‘No’. For example. The ‘Yes’ type will ask questions like “Is 2 plus 2 equal to 4?” while the ‘No’ type will ask questions like “Is 2 plus 2 equal to five?” The following questions are based on your visit to the island of Kya – Kya

Q.If an islander asks, “Do I belong to the ‘No’ type”, which of the following is correct?

1. He is a ‘No’
2. He is a ‘Yes’.
3. It is impossible for him to have asked such a question.
4. His type cannot be identified.

Ans.c

Q.Ram and Laxman are brothers from the Island. Laxman asks you, “Is at least one of us brothers of type ‘No”? You can conclude that

1. Ram is ‘NO’, Laxman is ‘Yes ‘.
2. both are ‘Yes’.
3. Ram is ‘Yes’, Laxman is ‘No’.
4. both are ‘No’.

Ans.A

Q.You are approached by one of the islanders and asked, “Am I of type ‘Yes”? You can infer that

1. he was a ‘No’.
2. he was a ‘Yes’.
3. such a situation is not possible.
4. no conclusion is possible

Ans.D

Logical Puzzle

Kya – Kya” is an island in the South Pacific. The inhabitants of “Kya – Kya” always answer any question with two sentences, one of which is always true and the other always false.

Q.You find that your boat is stolen. You question three inhabitants of the island and they reply as follows:
John says, “I didn’t do it. Mathew didn’t do it.”
Mathew says. “I didn’t do it. Krishna didn’t do it.”
Krishna says. “I didn’t do it. I don’t know who did it.”
Who stole your boat?

1. John
2. Mathew
3. Krishna
4. None of them

Ans.b

Q.There is only one pilot on the island. You interview three men, Koik, Lony and Mirna. You also notice that Koik is wearing a cap.
Mirna says, “Lony’s father is the pilot. Lony is not the priest’s son.”
Koik says, “I am the priest. On this island, only priests can wear caps.”
Lony says, “I am the priest’s son. Koik is not the priest.”
Which of the following is true?

1. Lony is not Koik’s son
2. Koik is the pilot
3. Mirna is the pilot.
4. Lony is the priest.

Ans.b

Q.You are walking on the road and come to a fork. You ask the inhabitants Ram, Laxman and Lila.
”Which road will take me to the village?”
Ram says, “I never speak to strangers. I am new to these parts.”
Laxman says, “I am married to Lila. Take the left road.”
Lila says, “I am married to Ram. He is not new to this place.”
Which of the following is true?

1. Left road takes you to the village.
2. Right road takes you to the village.
3. Lila is married to Laxman.
4. None of these.

Ans.a

Q.You want to speak to the chief of the village. You question three inhabitants. Amar, Bobby and Charles.
Only Bobby is wearing a red shirt.”
Amar says. “I am not Bobby’s son. The chief wears a red shirt.”
Bobby says, “I am Amar’s father. Charles is the chief.”
Charles says, “The chief is one among us. I am the chief.”
Who is the chief?

1. Amar
2. Bobby
3. Charles
4. None of them

Ans.b

Each question contains six statements followed by four sets of combinations of three. Choose the set in which the combinations are logically related.

Q.A. All vegetarians eat meat.
B. All those who eat meat are not vegetarians.
C. All those who eat meat are herbivorous.
D. All vegetarians are carnivorous.
E. All those who eat meat are carnivorous.
F. Vegetarians are herbivorous.

1. BCE
2. ABE
3. ACD
4. ACF

Ans.d

Q.A. All roses have thorns.
B. All roses have nectar.
C. All plants with nectar have thorns.
D. All shrubs have roses.
E. All shrubs have nectar.
F. Some roses have thorns.

1. BEF
2. BCF
3. BDE
4. ACF

Ans.c

Q.A. No spring is a season.
B. Some seasons are springs.
C. Some seasons are autumns.
D. No seasons are autumns.
E. Some springs are not autumns.
F. All springs are autumns.

1. DFA
2. BEF
3. CEB
4. DEB

Ans.a

Q.A. All falcons fly high.
B. All falcons are blind.
C. All falcons are birds.
D. All birds are yellow.
E. All birds are thirsty.
F. All falcons are yellow.

1. ABC
2. CDF
3. DEF
4. BCA

Ans.b

Q.A. No wires are hooks.
B. Some springs are hooks.
C. All springs are wires.
D. Some hooks are not wires.
E. No hook is a spring.
F. All wires are springs.

1. AED
2. BCF
3. BEF
4. ACE

Ans.d

Q.A. Some abra are dabra.
B. All abra are cabra.
C. All dabra are abra.
D. All dabra are not abra.
E. Some cabra are abra.
F. Some cabra are dabra

1. AEF
2. BCF
3. ABD
4. BCE

Ans.b

Q.A. No plane is a chain.
B. All manes are chains.
C. No mane is a plane.
D. Some manes are not planes.
E. Some planes are manes.
F. Some chains are not planes.

1. ACD
2. ADF
3. ABC
4. CDF

Ans.c

Q.A. All dolls are nice.
B. All toys are nice.
C. All toys are dolls.
D. Some toys are nice.
E. Some nice things are dolls.
F. No doll is nice

1. CDE
2. CEF
3. ACD
4. BEF

Ans.a

Q.A. Some buildings are not sky-scrappers.
B. Some sky-scrappers are not buildings.
C. No structure is a sky-scrapper.
D. All sky-scrappers are structures.
E. Some sky-scrappers are buildings.
F. Some structures are not buildings.

1. ACE
2. BDF
3. CDE
4. ACF

Ans.b

Q.A. All bins are buckets.
B. No bucket is a basket.
C. No bin is a basket.
D. Some baskets are buckets.
E. Some bins are baskets.
F. No basket is a bin.

1. BDE
2. ACB
3. CDF
4. ABF

Ans.d

READ AND ANSWER

P, Q, R and S are four statements. Relation between these statements is as follows.
I. If P is true, then Q must be true.
II. If Q is true, then R must be true.
III. If S is true, then either Q is false or R is false.
Which of the following must be true?

1. If P is true, then S is false

2. If S is false, then Q must be true

3. If Q is true, then P must be true

4. If R is true, then Q must be true

Ans . A

READ AND ANSWER

A, B, C and D are to be seated in a row. But C and D cannot be together. Also B cannot be at the third place.

Q. Which of the following must be false?

1. A is at the first place

2. A is at the second place

3. A is at the third place

4. A is at the fourth place

Ans . A

Q. If A is not at the third place, then which of the following options does C have?

1. The first place only

2. The third place only

3. The first and third place only

4. Any of the places

Ans . C

Q. If A and B are together, then which of the following must be necessarily true?

1. C is not at the first place

2. A is at the third place

3. D is at the first place

4. C is at the first place

Ans . B

READ AND ANSWER

A, B, C and D collected one-rupee coins following the given pattern.
Together they collected 100 coins.
Each one of them collected even number of coins.
Each one of them collected at least 10 coins.
No two of them collected the same number of coins.

Q. The maximum number of coins collected by any one of them cannot exceed

1. 64

2. 36

3. 54

4. None of these

Ans . A

Q. If A collected 54 coins, then the difference in the number of coins between the one who collected maximum number of coins and the one who collected the second highest number of coins must be at least

1. 12

2. 24

3. 30

4. None of these

Ans . C

Q. if A collected 54 coins and B collected two more coins than twice the number of coins collected by C, then the number of coins collected by B could be

1. 28

2. 20

3. 26

4. 22

Ans . D

READ AND ANSWER

Amar, Akbar and Anthony are three friends. Only three colours are available for their shirts, viz. red, green and blue. Amar does not wear red shirt. Akbar does not wear green shirt. Anthony does not wear blue shirt.

Q. If Akbar and Anthony wear the same colour of shirts, then which of the following is not true?

1. Amar wears blue and Akbar wears green

2. Amar wears green and Akbar wears red

3. Amar wears blue and Akbar does not wear blue

4. Anthony wears red

Ans . A

Q. If two of them wear the same colour, then how many of the following must be false?
I. Amar wears blue and Akbar does not wear green
II. Amar does not wear blue and Akbar wears blue
III. Amar does not wear blue and Akbar does not wear blue
IV. Amar wears green, Akbar does not wear red, Anthony does not wear green

1. None

2. 1

3. 2

4. 3

Ans . B

READ AND ANSWER

Mr Bankatlal acted as a judge for the beauty contest. There were four participants, viz. Ms Andhra Pradesh, Ms Uttar Pradesh, Ms West Bengal and Ms Maharashtra. Mrs Bankatlal, who was very anxious about the result, asked him about it as soon as he was back home. Mr Bankatlal just told that the one who was wearing the yellow saree won the contest. When Mrs Bankatlal pressed for further details, he elaborated as follows:
All of them were sitting in a row.
All of them wore sarees of different colours, viz. green, yellow, white, red.
There was only one runner-up and she was sitting beside Ms. Maharashtra.
The runner-up was wearing the green saree.
Ms West Bengal was not sitting at the ends and was not the runner up.
The winner and the runner-up are not sitting adjacent to each other.
Ms Maharashtra was wearing white saree.
Ms Andhra Pradesh was not wearing the green saree.
Participants wearing yellow saree and white saree were at the ends.

Q. Who wore the red saree?

1. Ms Andhra Pradesh

2. Ms West Bengal

3. Ms Uttar Pradesh

4. Ms Maharashtra

Ans . B

Q. Ms. West Bengal was sitting adjacent to

1. Ms Andhra Pradesh and Ms Maharashtra

2. Ms Uttar Pradesh and Ms Maharashtra

3. Ms Andhra Pradesh and Ms Uttar Pradesh

4. Ms Uttar Pradesh

Ans . C

Q. Which saree was worn by Ms Andhra Pradesh?

1. Yellow

2. Red

3. Green

4. White

Ans . A

Q. Who was the runner-up?

1. Ms Andhra Pradesh

2. Ms West Bengal

3. Ms Uttar Pradesh

4. Ms Maharashtra

Ans . C

Read and answer

Recently, Ghosh Babu spent his winter vacation on Kyakya Island. During the vacation, he visited the local casino where he came across a new card game. Two players, using a normal deck of 52 playing cards, play this game. One player is called the ‘dealer’ and the other is called the ‘player’. First, the player picks a card at random from the deck. This is called the base card. The amount in rupees equal to the face value of the base card is called the base amount. The face values of ace, king, queen and jack are ten. For other cards the face value is the number on the card. Once the ‘player’ picks a card from the deck, the ‘dealer’ pays him the base amount. Then the ‘dealer’ picks a card from the deck and this card is called the top card. If the top card is of the same suit as the base card, the ‘player’ pays twice the base amount to the ‘dealer’. If the top card is of the same colour as the base card (but not the same suit), then the ‘player’ pays the base amount to the ‘dealer’. If the top card happens to be of a different colour than the base card, the ‘dealer’ pays the base amount to the ‘player’. Ghosh Babu played the game four times. First time he picked eight of clubs and the ‘dealer’ picked queen of clubs. Second time, he picked ten of hearts and the ‘dealer’ picked two of spades. Next time, Ghosh Babu picked six of diamonds and the ‘dealer’ picked ace of hearts. Lastly, he picked eight of spades and the ‘dealer’ picked jack of spades. Answer the following questions based on these four games.

Q. If Ghosh Babu stopped playing the game when his gain would be maximized, the gain in Rs. would have been

1. 12

2. 20

3. 16

4. 4

Ans . A

Q. The initial money Ghosh Babu had (before the beginning of the game sessions) was Rs. X. At no point did he have to borrow any money. What is the minimum possible value of X?

1. 16

2. 8

3. 100

4. 24

Ans . B

Q. If the final amount of money that Ghosh Babu had with him was Rs. 100, what was the initial amount he had with him?

1. 120

2. 8

3. 4

4. 96

Ans . D

Read and answer

Rajiv reaches city B from city A in 4 hours, driving at speed of 35 kmph for the first two hour and at 45 kmph for the next two hours. Aditi follows the same route, but drives at three different speeds: 30, 40 and 50 kmph, covering an equal distance in each speed segment. The two cars are similar with petrol consumption characteristics (km per litre) shown in the figure below.

Q. The quantity of petrol consumed in liters by Aditi for the journey is

1. 8.3

2. 8.6

3. 8.9

4. 9.2

Ans . C

Q. Zoheb would like to drive Aditi’s car over the same route from A to B and minimize the petrol consumption for the trip. What is the quantity of petrol required by him in liters?

1. 6.67

2. 7

3. 6.33

4. 6.0

Ans . A

Read and answer

A road network (shown in the figure below) connects cities A, B, C and D. All road segments are straight lines. D is the mid-point on the road connecting A and C. Roads AB and BC are at right angles to each other with BC shorter than AB. The segment AB is 100 km long. Ms X and Mr Y leave A at 8.00 a.m., take different routes to city C and reach at the same time. X takes the highway from A to B to C and travels at an average speed of 61.875 kmph. Y takes the direct route AC and travels at 45 kmph on segment AD. Y’s speed on segment DC is 55 kmph.

Q. What is the average speed of Y?

1. 47.5

2. 49.5

3. 50

4. 52

Ans . B

Q. The total distance travelled by Y during the journey is approximately

1. 105 km

2. 150 km

3. 130 km

4. Cannot be determined

Ans . A

Q. What is the length of the road segment BD?

1. 50 km

2. 52.5 km

3. 55 km

4. Cannot be determined

Ans . B

Read and answer

A robot moves on a graph sheet with X and Y-axis. The robot is moved by feeding it with a sequence of instructions. The different instructions that can be used in moving it, and their meanings are:

Q. The robot reaches point (6, 6) when a sequence of three instructions is executed, the first of which is a GOTO(x, y) instruction, the second is WALKX(2) and the third is WALKY(4). What are the value of x and y?

1. 2, 4

2. 0, 0

3. 4, 2

4. 2, 2

Ans . C

Q. The robot is initially at (x, y), x > 0 and y < 0. The minimum number of instructions needed to be executed to bring it to the origin (0, 0) if you are prohibited from using the GOTO instruction is

1. 2

2. 1

3. x + y

4. 0

Ans . A

Answer the questions based on the following information.

f(x,y) = |x+y|, F(f(x,y)) = -f(x,y) and G(f(x,y)) = -F(f(x,y))

Q. Which of the following statements is true?

1. F(f(x, y)) * G(f(x, y)) = –F(f(x, y)) * G(f(x, y))

2. F(f(x, y)) * G(f(x, y)) > –F(f(x, y)) * G(f(x, y))

3. F(f(x, y)) * G(f(x, y)) ≠ G(f(x, y)) * G(f(x, y))

4. F(f(x, y)) + G(f(x, y)) + f(x, y) = f(–x, –y)

Ans . D

Q. What is the value of f(G(f(1, 0)), f(F(f(1, 2)), G(f(1, 2))))?

1. 3

2. 2

3. 1

4. 0

Ans . C

Q. Which of the following expressions yields x² as its result?

1. F(f(x,x)) * G(f(x,-x))

2. F(f(x,x)) * G(f(x,x)) = 4

3. -F(f(x,x)) * G(f(x,x)) / log ₂16

4. f(x,x) * f(x,x)

Ans . C

Answer the questions based on the following information

There are 50 integers a₁ , a₂ , …, a₅₀ , not all of them necessarily different. Let the greatest integer of these 50 integers be referred to as G, and the smallest integer be referred to as L. The integers a₁ through a₂₄ form sequence S1, and the rest form sequence S2. Each member of S1 is less than or equal to each member of S2.

Q. All values in S1 are changed in sign, while those in S2 remain unchanged. Which of the following statements is true?

1. Every member of S1 is greater than or equal to every member of S2.

2. G is in S1.

3. If all numbers originally in S1 and S2 had the same sign, then after the change of sign, the largest number of S1 and S2 is in S1.

4. None of the above

Ans . D

Q. Elements of S1 are in ascending order, and those of S2 are in descending order. a₂₄ and a₂₅ are interchanged. Then which of the following statements is true?

1. S1 continues to be in ascending order

2. S2 continues to be in descending order

3. S1 continues to be in ascending order and S2 in descending order

4. None of the above

Ans . A

Q. Every element of S1 is made greater than or equal to every element of S2 by adding to each element of S1 an integer x. Then x cannot be less than

1. 2¹⁰

2. the smallest value of S2

3. the largest value of S2

4. (G – L)

Ans . D

Answer the questions based on the following information.

Seven university cricket players are to be honoured at a special luncheon. The players will be seated on the dais along one side of a single rectangular table.
I. A and G have to leave the luncheon early and must be seated at the extreme right end of the table, which is closest to the exit.
II. B will receive the Man of the Match Award and must be in the centre chair.
III. C and D who are bitter rivals for the position of wicketkeeper, dislike one another and should be seated as far apart as possible.
IV. E and F are best friends and want to sit together.

Q. Which of the following may not be seated at either end of the table?

1. C

2. D

3. G

4. F

Ans . D

Q. Which of the following pairs may not be seated together?

1. E and A

2. B and D

3. C and F

4. G and D

Ans . A

Answer the questions based on the following information.

A, B, C, D, E and F are a group of friends from a club. There are two housewives, one lecturer, one architect, one accountant and one lawyer in the group. There are two married couples in the group. The lawyer is married to D who is a housewife. No lady in the group is either an architect or an accountant. C, the accountant, is married to F who is a lecturer. A is married to D and E is not a housewife.

Q. What is the profession of E?

1. Lawyer

2. Architect

3. Lecturer

4. Accountant

Ans . B

Q. How many members of the group are male?

1. 2

2. 3

3. 4

4. none of these

Ans . B

Answer the questions based on the following information

The following table presents the sweetness of different items relative to sucrose, whose sweetness is taken to be 1.00.

Q. What is the minimum amount of sucrose (to the nearest gram) that must be added to one gram of saccharin to make a mixture that will be at least 100 times as sweet as glucose?

1. 7

2. 8

3. 9

4. 100

Ans . C

Q. Approximately how many times sweeter than sucrose is a mixture consisting of glucose, sucrose and fructose in the ratio of 1 : 2 : 3?

1. 1.3

2. 1.0

3. 0.6

4. 2.3

Ans . A

Answer the questions based on the following information.

Ten coins are distributed among four people P, Q, R and S such that one of them gets one coin, another gets two coins, the third gets three coins and the fourth gets four coins. It is known that Q gets more coins than P, and S gets fewer coins than R.

Q. If the number of coins distributed to Q is twice the number distributed to P, then which one of the following is necessarily true?

1. R gets an even number of coins

2. R gets an odd number of coins.

3. S gets an even number of coins.

4. S gets an odd number of coins.

Ans . D

Q. If R gets at least two more coins than S, then which one of the following is necessarily true?

1. Q gets at least two more coins than S.

2. Q gets more coins than S.

3. P gets more coins than S.

4. P and Q together get at least five coins.

Ans . B

Q. If Q gets fewer coins than R, then which one of the following is not necessarily true?

1. P and Q together get at least four coins.

2. Q and S together get at least four coins.

3. R and S together get at least five coins.

4. P and R together get at least five coins.

Ans . A

Read each of the five problems given below and choose the best answer from among the four given choices.

Q. Persons X, Y, Z and Q live in red, green, yellow or blue-coloured houses placed in a sequence on a street. Z lives in a yellow house. The green house is adjacent to the blue house. X does not live adjacent to Z. The yellow house is in between the green and red houses. The colour of the house, X lives in is

1. blue

2. green

3. red

4. Not possible to determine

Ans . A

Q. My bag can carry not more than ten books. I must carry at least one book each of management, mathematics, physics and fiction. Also, for every management book I carry I must carry two or more fiction books, and for every mathematics book I carry I must carry two or more physics books. I earn 4, 3, 2 and 1 points for each management, mathematics, physics and fiction book, respectively, I carry in my bag. I want to maximise the points I can earn by carrying the most appropriate combination of books in my bag. The maximum points that I can earn is

1. 20

2. 21

3. 22

4. 23

Ans . C

Q. Five persons with names P, M, U, T and X live separately in any one of the following: a palace, a hut, a fort, a house or a hotel. Each one likes two different colours from among the following: blue, black, red, yellow and green. U likes red and blue. T likes black. The person living in a palace does not like black or blue. P likes blue and red. M likes yellow. X lives in a hotel. M lives in a

1. hut

2. palace

3. fort

4. house

Ans . B

Q. There are ten animals — two each of lions, panthers, bison, bears, and deer — in a zoo. The enclosures in the zoo are named X, Y, Z, P and Q and each enclosure is allotted to one of the following attendants: Jack, Mohan, Shalini, Suman and Rita. Two animals of different species are housed in each enclosure. A lion and a deer cannot be together. A panther cannot be with either a deer or a bison. Suman attends to animals from among bison, deer, bear and panther only. Mohan attends to a lion and a panther. Jack does not attend to deer, lion or bison. X, Y and Z are allotted to Mohan, Jack and Rita respectively. X and Q enclosures have one animal of the same species. Z and P have the same pair of animals. The animals attended by Shalini are

1. bear and bison

2. bison and deer

3. bear and lion

4. bear and panther

Ans . C

Q. Eighty kilogram of store material is to be transported to a location 10 km away. Any number of couriers can be used to transport the material. The material can be packed in any number of units of 10, 20, or 40 kg. Courier charges are Rs. 10 per hour. Couriers travel at the speed of 10 km/hr if they are not carrying any load, at 5 km/hr if carrying 10 kg, at 2 km/hr if carrying 20 kg and at 1 km/hr if carrying 40 kg. A courier cannot carry more than 40 kg of load. The minimum cost at which 80 kg of store material can be transported to its destination will be

1. 180

2. 160

3. 140

4. 120

Ans . B

Read and Answer

Answer the questions based on the following information.
For three distinct real numbers x, y and z, let
f(x, y, z) = Min(Max(x, y), Max(y, z), Max(z, x))
g(x, y, z) = Max(Min(x, y), Min(y, z), Min(z, x))
h(x, y, z) = Max(Max(x, y), Max(y, z), Max(z, x))
j(x, y, z) = Min(Min(x, y), Min(y, z), Min(z, x))
m(x, y, z) = Max(x, y, z)
n(x, y, z) = Min(x, y, z)

Q. Which of the following is necessarily greater than 1?

1. [h(x, y, z) – f(x, y, z)] / j(x, y, z)

2. j(x, y, z) / h(x, y, z)

3. f(x, y, z) / g(x, y, z)

4. [f(x, y, z) + h(x, y, z) – g(x, y, z)] / j(x, y, z)

Ans . D

Q. Which of the following expressions is necessarily equal to 1?

1. [f(x, y, z) – m(x, y, z)] / [g(x, y, z) – h(x, y, z)]

2. [m(x, y, z) – f(x, y, z)] / [g(x, y, z) – n(x, y, z)]

3. [j(x, y, z) – g(x, y, z)] / h(x, y, z)

4. [f(x, y, z) – h(x, y ,z)] / f(x, y, z)

Ans . A

Q. Which of the following expressions is indeterminate?

1. [f(x, y, z) – h(x, y, z)] / [g(x, y, z) – j(x, y, z)]

2. [f(x, y, z) + h(x, y, z) + g(x, y, z) + j(x, y, z)] / [j(x, y, z) + h(x, y, z) – m(x, y, z) – n(x, y, z)]

3. [g(x, y, z) – j(x, y, z)] / [f(x, y, z) – h(x, y, z)]

4. [h(x, y, z) – f(x, y, z)] / [n(x, y, z) – g(x, y, z)

Ans . B

Read and Answer

Sixteen teams have been invited to participate in the ABC Gold Cup cricket tournament. The tournament is conducted in two stages. In the first stage, the teams are divided into two groups. Each group consists of eight teams, with each team playing every other team in its group exactly once. At the end of the first stage, the top four teams from each group advance to the second stage while the rest are eliminated. The second stage comprises of several rounds. A round involves one match for each team. The winner of a match in a round advances to the next round, while the loser is eliminated. The team that remains undefeated in the second stage is declared the winner and claims the Gold Cup. The tournament rules are such that each match results in a winner and a loser with no possibility of a tie. In the first stage, a team earns one point for each win and no points for a loss. At the end of the first stage, teams in each group are ranked on the basis of total points to determine the qualifiers advancing to the next stage. Ties are resolved by a series of complex tie-breaking rules so that exactly four teams from each group advance to the next stage.

Q. What is the total number of matches played in the tournament?

1. 28

2. 55

3. 63

4. 35

Ans . C

Q. The minimum number of wins needed for a team in the first stage to guarantee its advancement to the next stage is

1. 5

2. 6

3. 7

4. 4

Ans . B

Q. What is the highest number of wins for a team in the first stage in spite of which it would be eliminated at the end of first stage

1. 1

2. 2

3. 3

4. 5

Ans . D

Q. What is the number of rounds in the second stage of the tournament?

1. 1

2. 2

3. 3

4. 4

Ans . C

Q. Which of the following statements is true?

1. The winner will have more wins than any other team in the tournament.

2. At the end of the first stage, no team eliminated from the tournament will have more wins than any of the teams qualifying for the second stage.

3. It is possible that the winner will have the same number of wins in the entire tournament as a team eliminated at the end of the first stage.

4. The number of teams with exactly one win in the second stage of the tournament is 4.

Ans . C

Read and Answer

The batting average (BA) of a Test batsman is computed from runs scored and innings played — completed innings and incomplete innings (not out) in the following manner:

Q. Based on the above information which of the following is true?

1. MBA₁ ≤ BA ≤ MBA₂

2. BA ≤ MBA₂ ≤ MBA₁

3. MBA₂ ≤ BA ≤ MBA₁

4. none

Ans . D

Q. An experienced cricketer with no incomplete innings has BA of 50. The next time he bats, the innings is incomplete and he scores 45 runs. It can be inferred that

1. BA and MBA ₁ will both increase

2. BA will increase and MBA₂ will decrease

3. BA will increase and not enough data is available to assess change in MBA₁ and MBA₂

4. None of these

Ans . B

Read and Answer

Four students — Ashish, Dhanraj, Felix and Sameer sat for the Common Entrance Exam for Management (CEEM). One student got admission offers from three NIMs (National Institutes of Management), another from two NIMs, the third from one NIM, while the fourth got none. Below are some of the facts about who got admission offers from how many NIMs and what is their educational background.
I. The one who is an engineer didn’t get as many admissions as Ashish.
II. The one who got offer for admissions in two NIMs isn’t Dhanraj nor is he a chartered accountant.
III. Sameer is an economist.
IV. Dhanraj isn’t an engineer and received more admission offers than Ashish.
V. The doctor got the most number of admission offers.

Q. Which one of the following statements is necessarily true?

1. Ashish is a chartered accountant and got offer for admission in three NIMs.

2. Dhanraj is a doctor and got admission offer in one NIM.

3. Sameer is an economist who got admission offers in two NIMs

4. Felix who is not an engineer did not get any offer for admission.

Ans . C

Q. Five boys went to a store to buy sweets. One boy had Rs. 40. Another boy had Rs. 30. Two other boys had Rs. 20 each. The remaining boy had Rs. 10. Below are some more facts about the initial and final cash positions.
I. Alam started with more than Jugraj.
II. Sandeep spent Rs. 1.50 more than Daljeet.
III. Ganesh started with more money than just only one other person
IV.Daljeet started with 2/3 of what sandeep started with
V. Alam spent the most, but did not end with the least.
VI. Jugraj spent the least and ended with more than Alam or Daljeet.
VII. Ganesh spent Rs.3.50.
VIII. Alam spent 10 times more than what Ganesh did
In the choices given below, all statements except one are false. Which one of the following statements can be true?

1. Alam started with Rs. 40 and ended with Rs. 9.50

2. Sandeep started with Rs. 30 and ended with Re. 1

3. Ganesh started with Rs. 20 and ended with Rs. 4

4. Jugraj started with Rs. 10 and ended with Rs. 7

Ans . D

Q. In a hospital there were 200 diabetes, 150 hyperglycaemia and 150 gastro-enteritis patients. Of these, 80 patients were treated for both diabetices and hyperglycaemia. Sixty patients were treated for gastro-enteritis and hyperglycaemia, while 70 were treated for diabetes and gastroenteritis. Some of these patients have all the three diseases. Dr. Dennis treats patients with only gastro-enteritis. Dr. Paul is a generalist. Therefore, he can treat patients with multiple diseases. Patients always prefer a specialist for their disease. If Dr. Dennis had 80 patients, then the other three doctors can be arranged in terms of the number of patients treated as:

1. Paul > Gerard > Hormis

2. Paul > Hormis > Gerard

3. Gerard > Paul > Hormis

4. None of these

Ans . D

Q. Three children won the prizes in the Bournvita Quiz contest. They are from the schools: Loyola, Convent and Little Flowers, which are located at different cities. Below are some of the facts about the schools, the children and the city they are from.
I. One of the children is Bipin.
II. Loyola School’s contestant did not come first.
III. Little Flower’s contestant was named Riaz.
IV. Convent School is not in Hyderabad.
V. The contestant from Pune took third place.
VI. The contestant from Pune is not from Loyola School.
VII. The contestant from Bangalore did not come first.
VIII. Convent School’s contestant’s name is not Balbir.
Which of the following statements is true?

1. 1st prize: Riaz (Little Flowers), 2nd prize: Bipin (Convent), 3rd prize: Balbir (Loyola)

2. 1st prize: Bipin (Convent), 2nd prize: Riaz (Little Flowers), 3rd prize: Balbir (Loyola)

3. 1st prize: Riaz (Little Flowers), 2nd prize: Balbir (Loyola), 3rd prize: Bipin (Convent)

4. 1st prize: Bipin (Convent), 2nd prize: Balbir (Loyola), 3rd prize: Riaz (Little Flowers)

Ans . C

Q. Two boys are playing on a ground. Both the boys are less than 10 years old. Age of the younger boy is equal to the cube root of the product of the age of the two boys. If we place the digit representing the age of the younger boy to the left of the digit representing the age of the elder boy, we get the age of father of the younger boy. Similarly, if we place the digit representing the age of the elder boy to the left of the digit representing the age of the younger boy and divide the figure by 2, we get the age of mother of the younger boy. The mother of the younger boy is younger to his father by 3 years. Then, what is the age of the younger boy?

1. 3

2. 4

3. 2

4. none

Ans . C

Q. Flights A and B are scheduled from an airport within the next one hour. All the booked passengers of the two flights are waiting in the boarding hall after check-in. The hall has a seating capacity of 200, out of which 10% remained vacant. 40% of the waiting passengers are ladies. When boarding announcement came, passengers of flight A left the hall and boarded the flight. Seating capacity of each flight is two-third of the passengers who waited in the waiting hall for both the flights put together. Half the passengers who boarded flight A are women. After boarding for flight A, 60% of the waiting hall seats became empty. For every twenty of those who are still waiting in the hall for flight B, there is one air hostess in flight A. What is the ratio of empty seats in flight B to the number of air hostesses in flight A?

1. 10 : 1

2. 5 : 1

3. 20 : 1

4. 1 : 1

Ans . A

Read and Answer

A country has the following types of traffic signals.
3 red lights = stop
2 red lights = turn left
1 red light = turn right
3 green lights = go at 100 km/hr speed
2 green lights = go at 40 km/hr speed
1 green light = go at 20 km/hr speed
A motorist starts at a point on a road and follows all traffic signals. His car is heading towards the north. He encounters the following signals (the time mentioned in each case below is applicable after crossing the previous signal).
Starting point - 1 green light
After half an hour, 1st signal - 2 red and 2 green lights
After 15 min, 2nd signal - 1 red light
After half an hour, 3rd signal - 1 red and 3 green lights
After 24 min, 4th signal - 2 red and 2 green lights
After 15 min, 5th signal - 3 red lights

Q. The total distance travelled by the motorist from the starting point till the last signal is

1. 90 km

2. 100 km

3. 120 km

4. None of these

Ans . A

Q. What is the position (radial distance) of the most motorist when he reaches the last signal?

1. 45 km directly north of the starting point

2. 30 km directly to the east of the starting point

3. 50 km away to the north-east of the starting point

4. 45 km away to the north-west of the starting point

Ans . C

Q. After the starting point if the 1st signal were 1 red and 2 green lights, what would be the final position of the motorist?

1. 30 km to the west and 20 km to the south

2. 30 km to the west and 40 km to the north

3. 50 km to the east and 40 km to the north

4. Directly 30 km to the east

Ans . C

Q. If at the starting point, the car was heading towards south, what would be the final position of the motorist?

1. 30 km to the east and 40 km to the south

2. 50 km to the east and 40 km to the south

3. 30 km to the west and 40 km to the south

4. 50 km to the west and 20 km to the north

Ans . C

Read and Answer

Choose (A) if the question can be answered by one of the statements alone but not by the other.
Choose (B) if the question can be answered by using either statement alone.
Choose (C) if the question can be answered by using both the statements together but cannot be answered using either statement alone.
Choose (D) if the question cannot be answered even by using both the statements A and B.

Q. F and M are father and mother of S, respectively. S has four uncles and three aunts. F has two siblings. The siblings of F and M are unmarried. How many brothers does M have?
A. F has two brothers.
B. M has five siblings.

1. A

2. B

3. C

4. D

Ans . A

Q. A game consists of tossing a coin successively. There is an entry fee of Rs. 10 and an additional fee of Re. 1 for each toss of coin. The game is considered to have ended normally when the coin turns heads on two consecutive throws. In this case the player is paid Rs. 100. Alternatively, the player can choose to terminate the game prematurely after any of the tosses. Ram has incurred a loss of Rs. 50 by playing this game. How many times did he toss the coin?
A. The game ended normally.
B. The total number of tails obtained in the game was 138.

1. A

2. B

3. C

4. D

Ans . B

Q. Each packet of SOAP costs Rs. 10. Inside each packet is a gift coupon labelled with one of the letters S, O, A and P. If a customer submits four such coupons that make up the word SOAP, the customer gets a free SOAP packets. Ms. X kept buying packet after packet of SOAP till she could get one set of coupons that formed the word SOAP. How many coupons with label P did she get in the above process?
A. The last label obtained by her was S and the total amount spent was Rs. 210.
B. The total number of vowels obtained was 18.

1. A

2. B

3. C

4. D

Ans . C

Q. If A and B run a race, then A wins by 60 seconds. If B and C run the same race, then B wins by 30 seconds. Assuming that C maintains a uniform speed what is the time taken by C to finish the race?
A. A and C run the same race and A wins by 375 metres.
B. The length of the race is 1 km.

1. A

2. B

3. C

4. D

Ans . C

Read and Answer

Some children were taking free throws at the basketball court in school during lunch break. Below are some facts about how many baskets these children shot.
i. Ganesh shot 8 baskets less than Ashish.
ii. Dhanraj and Ramesh together shot 37 baskets.
iii. Jugraj shot 8 baskets more than Dhanraj.
iv. Ashish shot 5 baskets more than Dhanraj.
v. Ashish and Ganesh together shot 40 baskets.

Q. Which of the following statements is true?

1. Ramesh shot 18 baskets and Dhanraj shot 19 baskets.

2. Ganesh shot 24 baskets and Ashish shot 16 baskets

3. Jugraj shot 19 baskets and Dhanraj shot 27 baskets

4. Dhanraj shot 11 baskets and Ashish shot 16 baskets

Ans . A

Q. Which of the following statements is true?

1. Dhanraj and Jugraj together shot 46 baskets

2. Ganesh shot 18 baskets and Ramesh shot 21 baskets

3. Dhanraj shot 3 more baskets than Ramesh

4. Ramesh and Jugraj together shot 29 baskets

Ans . A

Read and Answer

Answer the questions on the basis of the information given below. Five women decided to go shopping to M.G. Road, Bangalore. They arrived at the designated meeting place in the following order: 1. Archana, 2. Chellamma, 3. Dhenuka, 4. Helen, and 5. Shahnaz. Each woman spent at least Rs. 1000. Below are some additional facts about how much they spent during their shopping spree.
i. The woman who spent Rs. 2234 arrived before the lady who spent Rs. 1193.
ii. One woman spent Rs. 1340 and she was not Dhenuka.
iii. One woman spent Rs. 1378 more than Chellamma.
iv. One woman spent Rs. 2517 and she was not Archana.
v. Helen spent more than Dhenuka.
vi. Shahnaz spent the largest amount and Chellamma the smallest.

Q. What was the amount spent by Helen?

1. Rs. 1193

2. Rs. 1340

3. Rs. 2234

4. Rs. 2517

Ans . B

Q. Which of the following amounts was spent by one of them?

1. Rs. 1139

2. Rs. 1378

3. Rs. 2571

4. Rs. 2718

Ans . A

Q. The woman who spent Rs. 1193 is

1. Archana

2. Chellamma

3. Dhenuka

4. Helen

Ans . C

Read and Answer

Five friends meet every morning at Sree Sagar restaurant for an idli-vada breakfast. Each consumes a different number of idlis and vadas. The number of idlis consumed are 1, 4, 5, 6, and 8, while the number of vadas consumed are 0, 1, 2, 4, and 6. Below are some more facts about who eats what and how much.
i. The number of vadas eaten by Ignesh is three times the number of vadas consumed by the person who eats four idlis.
ii. Three persons, including the one who eats four vadas eat without chutney.
iii. Sandeep does not take any chutney.
iv. The one who eats one idli a day does not eat any vadas or chutney. Further, he is not Mukesh.
v. Daljit eats idli with chutney and also eats vada.
vi. Mukesh, who does not take chutney, eats half as many vadas as the person who eats twice as many idlis as he does.
vii. Bimal eats two more idlis than Ignesh, but Ignesh eats two more vadas than Bimal.

Q. Which one of the following statements is true?

1. Daljit eats 5 idlis

2. Ignesh eats 8 idlis

3. Bimal eats 1 idli.

4. Bimal eats 6 idlis.

Ans . A

Q. Which of the following statements is true?

1. Sandeep eats 2 vadas

2. Mukesh eats 4 vadas

3. Ignesh eats 6 vadas.

4. Bimal eats 2 vadas.

Ans . C

Q. Which of the following statements is true?

1. Mukesh eats 8 idlis and 4 vadas but no chutney

2. The person who eats 5 idlis and 1 vada does not take chutney.

3. The person who eats equal number of vadas and idlis also takes chutney

4. The person who eats 4 idlis and 2 vadas also takes chutney.

Ans . C