Logical Reasoning

1.Find the missing term of the series:61,74, 89, 97,…., 121, 145

  • 117
  • 118
  • 116
  • None of these


So, Option A

2.Some As are Bs and some Bs arc Cs. Which of the following is necessarily true?

I. Some As are Cs                             II.  All Cs are As

  • Only (I) follows
  • Only(II) follows.
  • Both (I) and (II) follows.
  • Neither (I) nor (II) follow.


Hence, neither conclusion I nor II follow.

So, Option D

3. If H<G=J and J>K, then which of the following is necessarily true.

I. H>K             II.  G>K

  • only (I) is true.
  • only (II) is true.
  • both (I) and (11) are true.
  • Neither (I) nor (II) are true.


H < G = J > K

(I) H > K (Not sure) (II) G > K (True).

So, Option B

4.There are 40 people standing in a row. A is 12th from the left and B is 9th from the right. How many people are there in between A and B?

  • 18
  • 19
  • 20
  • None of these


Total number of people = 40.

A’s position from left = 12th.

B’s position from right = 9th.

Number of people between A and B = 40 – l2 – 9 = 19

So, Option B

5.Create meaningful words from the following and then find the odd one out.

  • HIFS
  • TBOA
  • UOBY
  • GATO






Here, Fish, Boat and Buoy are somehow related to water, whereas Goat is not related to water.

So, Option D

1.Find the missing term in the series: A15, B10, D3.

  • C6
  • C7
  • E3
  • None of these


So, Option A

2. You are facing North. You take a right turn and walk for 5 Kms. You again take a right turn and walk for 3 Kms. You now take a left turn and walk for 2 Kms. You now take a 90-dcgree turn to your left. Which direction are you facing now?

  • East
  • West
  • North
  • South


Finally, you are facing towards North direction

So, Option C

3. Find the missing number that should come at the place of question mark (?).

  • 182
  • 184
  • 187
  • 191


272 + 2 × 17= 306156 + 2 × 13= 182342 + 2 × 19= 380

So, Option A

4. The diagram below shows the number of people who attended seminars on Physics, Chemistry, Math and Biology. What is the number of people who attended exactly any two seminars?

  • 21
  • 36
  • 38
  • 42


Number of people, who attend exactly two seminars:

Physics and Math = 14.

Physics and Biology = 7.

Math and Biology = 5.

Chemistry and Math = 10.

Total number of people, who attend exactly any two seminars = 14 + 7 + 5 + 10 = 36.

So, Option B

5. If P means division, T means addition, M means subtraction and D means multiplication, then the value of: 8 D 1 6 P 3 2 T 1 6 D 3 2 P 6 4 is:

  • 12
  • 23
  • 6
  • 3


P -> ÷       T -> +        M -> –        P -> ×

8 D 16 P 32 T 16 D 32 P 64

=> 8 × 16 ÷ 32 + 16 × 32 ÷ 64

=> 4 + 8 = 12

So, Option A

1.Directions: In this question, a statement is followed by two courses of action numbered 1 and 11. Consider everything in the statement to be true and decide which of the suggested courses of action logically follow(s) for pursuing.

Statement: The government of state ‘Y’ has decided to remove hutments and buildings that have come up beside the roads to broaden them in city ‘A’.

Courses of action:

I. The government of state ‘Y’ should rehabilitate the affected residents of hutments/buildings.

II. The government should compensate the residents of targeted houses with a reasonable amount.

  • Only I follows
  • Only II follows
  • Either I or II follow
  • Neither I or II follow


Both courses of actions I and II follows. Either government should rehabilitate the affected residents of hutments/Buildings. Or, they should compensate the residents of targeted houses.

So, Option C

2. Some have suggested a correlation between not wearing polished shoes and being lethargic– that those who don’t polish their shoes are generally lethargic than those who do. This, however, is not the case. I work at the employment exchange and the majority of the applicants have polished shoes. Which of the following assumptions is made by the author of the argument?

  • Lethargy and polished shoes are learned behaviours.
  • People with polished shoes are never unemployed.
  • Lethargy has its origins in an individual’s family background.
  • People who apply for employment at the employment exchange are lethargic.


Assumption made by the Author of the argument is “Lethargy has its origins in an individual’s family background”.

So, Option C


  • 18
  • 11
  • 8
  • 7


sqrt(20-4) = sqrt(16) = 4

sqrt(45 – 20) = sqrt(25) = 5

sqrt(120 – 20) = sqrt(100) = 10

sqrt(90 – 26) = sqrt(64) = 8

So, Option C

4. If DIP is coded as 172203, then what is the code for “TAKE”?

  • 07152418
  • 07142418
  • 33142418
  • 07142518


Letter’s position

=> Code = (4 + 13), (9 + 13), (16 + 13) = 172229


= 1722(29 – 26) = 172203

Letter’s position

=>  Code = (20 + 13), (1 + 13)(11 + 13),(5 + 13)

= 33 14 24 18 = (33 – 26) 14 24 18

= 07 14 24 18.

So, Option B

5. In the following figure, the Pentagon, the Rectangle, the Triangle and the Circle represent the number of students in a class who play cricket. Soccer, Hockey and Baseball respectively.

Which of the following is the highest?

  • Number of students who play at least one of Hockey or Baseball.
  • Number of students who play exactly two of the sports.
  • Number of students who play exactly one of the four sports,
  • Number of students who play at least one of Cricket or Soccer.


(a) Number of students who play at least one of Hockey or Baseball = 7 + 8 + 6 + 3+11 + 8 + 4 + 5 + 9 = 66

(b) Number of students who play exactly two of the sports =8+7+5+5= 25.

(c) Number of students who play exactly ones of the four sports =10 + 9 + 9+7 = 35.

(d) Number of students who play atleast ones of cricket or soccer = 10 + 8 + 6 + 7 + 9 + 3 + 11 + 8 + 4 + 5 = 71

So, Option D

1.Two adjacent faces of a cube are painted red and out of the remaining sides, two opposite faces are painted green. The cube is then cut into 125 equal smaller cubes. How many smaller cubes will have at most two sides painted?

  • 121
  • 123
  • 117
  • 113


Total number of smaller cubes = 125.

Number of smaller cubes have 3 painted faces = 2.

Hence, number of smaller cubes have at most two painted faces = 125 – 2 = 123.

So, Option B

2. Prashant forgot his five-digit ATM pin. However he remembers that the ATM PIN has a cube of a number in the 3rd place and prime numbers in the first and the last places. The even prime number is in the 1st He also remembers that the digit in the 3rd place is equal to the product of the digits in the first and the second places and the sum of the digits in the first and the second places is equal to the digit in the fourth place. The digit in the last place is half the digit in the 4th place.

What is his ATM PIN?

  • 24863
  • 24683
  • 26483
  • 23468


Hence, required number is ‘24863’.

So, Option A

3. Refer to the sequence of letters given below and answer the questions that follow.

N F C I O R O O I U M N T S M C T U A A N R T 1 E I C T O A N N T I

If all the vowels from the given sequence arc removed, then which letter will be the 8th letter to the right of the 5th letter to the left of the 10th letter from the right?

  • R
  • T
  • C
  • S


Sequence of letters after removing all vowel.


Letter which is 8th to the right of the 5th to the left of the 10th from the right end = 10 + 5 – 8 = 7th from the right and that is letter ‘R’.

So, Option A

4. A traveller travels 10 km towards the East from Pune. He then turns 90 degrees towards his right and travels 5 km and again takes a 90 degrees turn towards his right and walks 5 km. What direction is he now with respect to Pune?

  • South-West
  • South-East
  • North-West
  • North-East


Hence, person is in south-east from Pune city.

So, Option B

Read the given information and answer the following questions:

Eight people A, B, C, D, E, F, G and H are sitting on 8 chairs kept symmetrically around a circular table and equidistant from each other. All of them are facing towards the centre of the table. Some information about the order in which they are sitting is provided as follows:

  • F is sitting exactly opposite to C.
  • D is not next to F.
  • H is the only one sitting between G and C.
  • E is sitting two places to the right of B and is not next to F.

5. Which of the following is the correct position of H?

  • Left of C
  • Exactly Opposite of B
  • Exactly Opposite of E
  • Cannot Be Determined


B is exactly opposite to H

So, Option B

6. Which of the following statements is not correct?

  • B is to the immediate right of F.
  • G is sitting two places to the light of F.
  • There are only six persons whose sitting positions can be exactly determined.
  • All of these.


Sitting position of all eight people can be exactly determined

So, Option C

1.There are six persons A, B, C, D, E and F. C is the sister of F. B is the brother of E’s husband. D is the father of A and the grandfather of F. There are two lathers, three brothers and a mother in the group. How many male members are there in the group?

  • One
  • Two
  • Three
  •  Four


male members in the group are D, A, B and F. Hence, there are 4 males in the family.

So, Option D

2. Directions: In the following question, a part of the figure is missing. Find out from the given options (a, b, c and d), the right figure to fit in the missing figure.


Option C

3. A piece of paper is folded and punched as shown below in the question figures. From the given answer figures, indicate how it will appear when opened.


Option C

4.  I. Yes: Studies have shown that breathing in vehicular pollution reaches dangerous levels when the exposure to such pollution has been more than five hours in a day.

II. No. Breathing in vehicular pollution for more than five hours a day does not lead to lung cancer as was revealed in a study to analyze the effect of vehicular pollution.

  • Only I is strong.
  • Only II is strong.
  • Both I and II are strong
  • Neither I nor II are strong.


Here, statement I is wrong.

So, Option A

1.Choose the odd term in the following series


  • MRV
  • DIM
  • GLP
  • JOT

2. Choose the pair similar to the following



3. Select the figure that will replace the question mark (?), from the following figure series.

4. Given below is a question followed by two statements, I and II, each containing some information. Decide which of the statement(s) is/are sufficient to answer the question

Among six members of the family, O, P, Q, R, S and T, how many are females?


  1. Q is wife of P and mother of T, R is grandmother of O and mother of P
  2. T is granddaughter of S.
  • Statement I alone is sufficient
  • Statement II alone is sufficient
  • Both I and II together are sufficient
  • Both I and II together are not sufficient

1.Given below is a question followed by two statements, I and II, each containing some information.

Decide which of the statement(s) is/are sufficient to answer the question.

How far is Janny from her starting point? If

  1. Janny moves 4 km towards South, then 3 km towards right, 5 km towards left, 3 km towards left and 3 km towards right and stop.
  2. Janny moves 7 km towards South, then 4 km towards left, 2 km towards right, 4 km towards right and finally 3 km towards left and stop.
  • The data in statement I alone is sufficient to answers the question.
  • The data in statement II alone is sufficient to answer the question.
  • The data of both statement I alone and statement II alone are sufficient to answer the question.
  • The data in both statements I and II together are necessary to answer the question.

2. Determine whether the following data is sufficient for the statements maintained on its basis.

A home delivery retail provision store sells goods around ₹ 1,500 per day, Of the total number of food item sold in a month, they sell around 1000 loaves of bread, 80 kg of sugar, 100 packets of tea leaves, 100 kg of flour, 50 packets of coffee and 200 kg of detergents, 25 litres of cooking oil. The sale of toiletries is far more than that of cereals.

  1. The ratio of the sale of toiletries as compared to food items is 1:2
  2. The income from tea, coffee and sugar is more than the sale earnings from flour.
  • Sufficient for both A and B
  • Sufficient for B but not for A
  • Sufficient for A but not for B
  • Sufficient neither for A nor B

3. I a coded form, A # B means A is the paternal grandfather of B, A $ B means A is the son of B and A @ B means A is the brother of B. Which of the following equations shows that P is the father of S?

  • P @ Q $ R # S
  • P # Q @ R $ S
  • P # Q $ R @ S
  • P $ Q # R @ S

4. The age of the mother is twice of her son. If the sum of their ages is 60, what is the age of the mother?

  • 30 years
  • 40 years
  • 48 years
  • 36 years

5. There are five persons in a group Raju, Sanjay, Deepak, Suresh and Mukesh. Deepak is elder to Raju, but not tall as Suresh, Suresh is younger to Sanjay and taller that Mukesh and Raju. Sanjay is taller than Mukesh but not younger than Raju. Mukesh is elder to Sanjay but is the shortest of all the friends. Who among the following is the eldest?

  • Sanjay
  • Deepak
  • Suresh
  • Either Deepak or Mukesh

1.Study the given information carefully.

For a job selection in a company the following conditions need to be fulfilled.

The candidate must:

  • be at least 23 years and at most 28 years as on 01 December 2020.
  • have at least 65% marks in written exam and 40% marks in interview.
  • possess a graduation degree with minimum 60% marks.
  • have one-year work experience.
  • In case a candidate who fulfils all conditions except (iv) but possess 80% marks in graduation then case is to be referred to manager.

In the following question, details of candidates are given. Select the appropriate option accordingly.

Anshika was born on 07 March 1997. She completed her graduation with 75% marks. She has a work experience of 2 years. She scored 70% marks in written exam and 55% marks in interview.

  • If candidate is to be selected
  • If candidate is to be rejected
  • If case is to be referred to manager
  • If data is insufficient to conclude.

2. The following are the criteria of selecting a Lawyer for a legal firm.

The candidates must:

  • have completed LLB with at least 75% marks.
  • be more than 28 years and less than 35 years of age as on October 1, 2020
  • have secured more than 85% marks in the interview and at least 70% marks in the written test.

However, if the candidate fulfils all the above criteria EXCEPT

criterion (d) at (b), but has 3 years experience of practicing in district court, his/her case is to be referred to the Chief Manager

criterion (e) at (c), but has secured more than 80% marks in L.L.M., his/her case is to be referred to the Chief Legal Advisor. 

Sakshi Kuman has obtained 81% marks in L.L.M. and 75% marks in L.L.B. She was 26 years of age when she completed her L.L.B. in 2013. She has obtained 66% marks in the written test and 75% marks in interview. He also has 3 years experience of practicing in district court.

  • She would be selected
  • She would not be selected
  • Her case is to be referred to the Chief Manager
  • Her case is to be referred to the Chief Legal Advisor

3. A statement is followed two assumptions numbered I and II. Consider the statement and decide which of the given assumption(s) is/are implicit in the statement.


The educational framework now requires to go through a process of change so as to cater to individuals according to their interests and talents.


I. The current education system is geared to mainstream individuals without due regard to their unique potentialities.

II. Learners find less scope for nurturing their individual interests and talents in the present system.

  • Only I is implicit
  • Only II is implicit
  • Both I and II are implicit
  • Neither I nor II is implicit

4. Two Statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.


No cylinder is a drum.

All balls are cylinders.

I. No drum is a cylinder.

II. Some cylinders are balls.

III. No ball is drum.

  • Only conclusion I and II follows.
  • Only conclusion II and III follow.
  • Only conclusion I and III follow.
  • All of the conclusions follow

5.  In the following diagram, the circle stands for ‘farmers’, the hexagon stands for ‘tax-payers’, the square stands for ‘females’, the triangle stands for ‘folk-artists’. The numbers in different segments show the number of persons for that segment.

How many farmers are tax-payers also but are neither folk-artists nor females?

  • 15
  • 20
  • 10
  • 6

1. In the following figure, the triangle represents researchers, the square represents historians, the rectangle represents lectures and the circle represents singers. Find the researcher who is neither historian nor lecturer but singer and the lecturer who is researcher and singer but not historian.

  • R,T
  • K, P
  • W, M
  • N, R

2. How many dots are there opposite to the side having ‘four’ dots?

  • Two
  • One
  • Five
  • Six

3. The figure marked ‘X’ lying flat with patterns on it is folded to form a box such that the patterns/blanks show on the faces of the box. Four possible boxes A, B, C and D are given below some of which can be formed and some cannot be formed. Choose from the alternatives the boxes that can be formed.

  • A and C only
  • C and D only
  • B and D only
  • A and D only

4. The sequence of folding a piece of square paper and the manner in which the folded paper has been cut is shown in the figures marked X, Y and Z. How would the paper look when unfolded?