**Infosys Placement Papers - Reasoning Aptitude**

Is Infosys visiting your campus soon? Are you looking for resources to ready yourself for the placement challenge? Here are a set of Quantitative aptitude practice questions based on previous years’ Infosys placement papers

Infosys written test includes three sections, Quantitative Aptitude & Verbal Ability & Reasoning Ability, with 10, 15 and 40 questions respectively. Time allotted for Quantitative Aptitude Section is 35 minutes. Questions are expected to be based on Series, Blood Relations, Coding, Arrangements, Clocks & Calendars, Data Sufficiency, Analogies etc.. For complete recruitment pattern, click here Infosys Campus Recruitment Pattern.

**Infosys Reasoning Ability Questions**

**1. N: 2744:: E:?**

a) 125

b) 216

c) 625

d) 50

Answer/ explanation: a) 125

If the alphabets are numbered from 1 to 26, N will be 14. 2744 is obtained by cubing 14. Hence, the answer is 5×5×5 i.e. 125

**2. If the first and second letters in the word ‘TELEPHONES’ were interchanged, also the third and the fourth letters, 5th and the 6th letters and so on, which letter would be the seventh letter counting from your left?**

a) O

b) N

c) H

d) P

Answer/ Explanation: b) N

After rearranging the letters according to the question, the following word is obtained.

### ETELHPNOSE

Hence, the seventh letter from the left is N.

**Instructions for Questions 3 to 6: Read the given information below and answer the questions that follow:**

**A, B, C, D, E, F, G & H are a group of friends who sit in a circle during extra classes.**

**B is second to the right of D.**

**C & D sit opposite to each other.**

**H & B sit opposite to each other.**

**E & F sit on either side of D.**

**A sits to the immediate left of C **

**3. Which of the following statements is definitely true?**

a) B sits to the right of F.

b) E sits to the left of D

c) Both the above statements are true.

d) None of the above is true.

Answer/ Explanation: d) None of the above is true.

**4. Who are the neighbors of C?**

a) B & A

b) E & B

c) D & F

d) A & G

e) Cannot be determined

Answer/ Explanation: d) A & G

According to the conditions given in the question, the following is the final circular arrangement of students.

It is only given that E and F are on either side of D. Hence, positions of E and F cannot be determined from the clues given.

**5. Whose positions cannot be determined exactly?**

a) B & D

b) E & F

c) A & C

d) B & H

Answer/ Explanation: b) E & F

According to the conditions given in the question, the following is the final circular arrangement of students.

It is only given that E and F are on either side of D. Hence, positions of E and F cannot be determined from the clues given.

**6. What is the position of G?**

a) Third to the right of B

b) Second to the right of B

c) Second to the right of A

d) Opposite to B

Answer/ Explanation: c) Second to the right of A

According to the conditions given in the question, the following is the final circular arrangement of students.

It is only given that E and F are on either side of D. Hence, positions of E and F cannot be determined from the clues given.

**7.Statements: All dogs are fish. No cat is fish.**

**Conclusions: A. No cat is a dog.**

**B. some fish are dogs**

a) Only conclusion A follows

b) Only conclusion B follows

d) Both conclusions follow

d) Neither of the two conclusions follows

Answer/ Explanation: d) Both Conclusions follow

This question on syllogisms can be solved using Venn diagrams. Looking at the figure, one can understand that no cat is a dog. Hence, statement A follows the logic.

Since all dogs are fish, some fish are dogs making statement B true too. Therefore, the answer is d.

**8. What comes next in the series?**

14, 3.5, 0.875, ?

a) 1

b) 0.21875

c) 0.0546

d) 1.5

Answer/ Explanation: b) 0.21875

14 divided by 4 gives 3.5 and 3.5 divided by 4 gives 0.875. Hence, 0.875 divided by 4 gives 0.21875.

**9. Three friends went to a restaurant and found some pieces of cake in front of them. Shanti took one – fourth of them and returned 3. Rameera took one – half of them and returned one. John took one-seventh of them and returned none. What is the initial number of pieces of cake if there were 6 at the end?**

a) 10

b) 24

c) 12

d) 08

Answer/ Explanation: c) 12

Let the initial number of pieces of cake be x.

Number of pieces of cake left after Shanti left is 3x/4 + 3

Number of pieces of cake left after Rameera left is ((1/2)(3x/4 + 3)+1))

Number of pieces of cake left after John left is (3/4)(1/2)(3x/4 + 3)+1))

This amount is equal to 12.

Therefore, (3/4) (1/2)(3x/4 + 3)+1)) = 12

Solving for x, we get x = 12

There were 12 pieces of cake in the beginning.

**10. A + B means A is the sister of B. A – B means A is the brother of B. A × B means A is the father of B.**

What does A × B – C mean?

a) A is the father of B

b) B is the father of A

c) A is the father of C

d) C is the father of A

Answer/ Explanation: c) A is the father of C

B – C means B is the brother of C. A × B means A is the brother of B. Since, B is already a brother of C, A is the father of C

**11. P is the son of Q. Q and A are sisters. N is the mother of A and M is the son of N. Choose one statement which is true.**

a) M is the maternal uncle of Q

b) Q and A are cousins.

c) N is the grand-father of P

d) M is the maternal uncle of P

Answer: d) M is the maternal uncle of P

Explanation: Here is how the family tree would look.

Circles represent females and squares represent males.

From the picture, P is the son of Q. Q, A and M are siblings and N is the mother of them. Hence, M is the maternal uncle of P.

**Instructions for Questions 12 to 14:** An Indian army commando has been killed at the LOC. During the time of the murder, only three people namely X, Y, and Z were present.

Here are few clues to find out who killed the commando.

The murderer who was one among X, Y and Z arrived at LOC later than at least one of the other two visitors.

A detective, who was one among X, Y and Z arrived at the LOC earlier than at least one of the other two visitors.

The detective arrived at LOC at midnight.

Neither X nor Y arrived at LOC after midnight

The earlier between Y and Z was not the detective.

The later arriver between X and Z was not the murderer.

a) X

b) Y

c) Z

d) Data Insufficient

Answer/ Explanation: b) Y

From the clues a and b, the following are the options possible.

Possibility 1 | Possibility 2 | Possibility 3 | Possibility 4 |

Detective | Detective | ||

Murderer | Murderer, detective | Detective | |

Murderer | Murderer |

From clues c and d, possibilities 1 and 4 aren’t possible.

Possibility 2 | Possibility 3 |

Murderer, Detective- Midnight | Detective, Midnight |

Z | Murderer - Z |

From possibilities e and f, we have

Possibility 2 | Possibility 3 |

Y | Y |

X, Murderer, Detective - Midnight | Detective - Midnight -X |

Z | Murderer - Z |

According to the last clue, the later arriver between x and z was not the murderer. Hence, only possibility 2 is allowed.

**13. Who is the murderer?**

a) X

b) Y

c) Z

d) Data Insufficient

Answer: a) x

From the clues a and b, the following are the options possible.

Possibility 1 | Possibility 2 | Possibility 3 | Possibility 4 |

Detective | Detective | ||

Murderer | Murderer, Detective | Detective | |

Murderer | Murderer |

From clues c and d, possibilities 1 and 4 aren’t possible.

Possibility 2 | Possibility 3 |

Murderer, Detective-Midnight | Detective -Midnight |

Z | Murderer - Z |

From possibilities e and f, we have

Possibility 2 | Possibility 3 |

Y | Y |

X, Murderer,Detective - Midnight | Detective - midnight - X |

Z | Murderer - X |

According to the last clue, the later arriver between x and z was not the murderer. Hence, only possibility 2 is allowed.

**14. Who is the detective?**

a) X

b) Y

c) Z

d) Data Insufficient

Answer: a) X

From the clues a and b, the following are the options possible.

Possibility 1 | Possibility 2 | Possibility 3 | Possibility 4 |

Detective | Detective | ||

Murderer | Murderer,Detective | Detective | |

Murderer | Murderer |

From clues c and d, possibilities 1 and 4 aren’t possible.

Possibility 2 | Possibility 3 |

Murderer,Detective - Midnight | Detective - Midnight |

Z | Murderer - Z |

From possibilities e and f, we have

Possibility 2 | Possibility 3 |

Y | Y |

X, Murderer,Detective - Midnight | Detective - Midnight - X |

Z | Murderer - Z |

According to the last clue, the later arriver between x and z was not the murderer. Hence, only possibility 2 is allowed.

**15. Identify the wrong term in the series.**

**5, 15, 135, 235, 10935**

a) 5

b) 15

c) 135

d) 235

Answer: d) 235

Each number multiplied by increasing powers of 3 is the pattern here.

5 multiplied by 3, 15 multiplied by 9 etc. Hence, 235 is the misfit here.

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