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Free Logical Reasoning questions with answers for MBA CET

Seating arrangements, puzzles, syllogisms, blood relations, direction sense, coding-decoding and critical reasoning - the question types that appear in MAH-CET, CAT, MAT and ATMA. These 142 questions are also useful for CAT, MAT and ATMA. Tap “Show answer” under any question for the correct option and the explanation.

  1. Question 61

    A can finish a job in 10 days and B in 15 days. Working together, in how many days will they finish it?
    • (A)7
    • (B)25
    • (C)6
    • (D)5
    Show answer and explanation

    Correct answer: (C) 6

  2. Question 62

    A car travels 135 km in 3 hours at a constant speed. What is its speed?
    • (A)35 km/h
    • (B)55 km/h
    • (C)45 km/h
    • (D)135 km/h
    Show answer and explanation

    Correct answer: (C) 45 km/h

  3. Question 63

    A father is 5 years more than twice his son's age. Their total age is 53 years. What is the son's age?
    • (A)11 years
    • (B)21 years
    • (C)16 years
    • (D)37 years
    Show answer and explanation

    Correct answer: (C) 16 years

  4. Question 64

    A shop sold 130, 160, 190 and 220 units in four weeks. By how many units did Week 4 exceed Week 1?
    • (A)350
    • (B)None of these
    • (C)90
    • (D)60
    Show answer and explanation

    Correct answer: (C) 90

  5. Question 65

    Input: Krishna 32 Book 39 Ice 91 Invite 47 63 Mango 25 GO Step I: 92 Go Krishna 32 Book 39 Ice Invite 47 63 Mango 25 Step II: 64 Ice 92 Go Krishna 32 Book 39 Invite 47 Mango 25 Step III: 48 Book 64 Ice 92 Go Krishna 32 39 Invite Mango 25 Step IV: 40 Mango 48 Book 64 Ice 92 Go Krishna 32 Invite 25 Step V: 33 Invite 40 Mango 48 Book 64 Ice 92 Go Krishna 25 Step VI:26 Krishna 33 Invite 40 Mango 48 Book 64 Ice 92 Go Input: Mid 39 Apple 56 Good 59 Orange 35 Beautiful 76 Naughty 91 If “60 Apple 77 Good 92 Mid 39 56 Orange 35 Beautiful Naughty” is step 3 then how many more steps are required to reach on final output?
    • (A)5 steps more
    • (B)6 steps more
    • (C)4 steps more
    • (D)3 steps more
    • (E)None of these
    Show answer and explanation

    Correct answer: (D) 3 steps more

    Rule from the worked example: in every step the largest number not yet moved is increased by 1 and placed at the left end, followed by the shortest word not yet moved. The pairs already moved shift to the right and the remaining elements keep their order. Applying it to the new input (Mid 39 Apple 56 Good 59 Orange 35 Beautiful 76 Naughty 91): Step I: 92 Mid 39 Apple 56 Good 59 Orange 35 Beautiful 76 Naughty Step II: 77 Good 92 Mid 39 Apple 56 59 Orange 35 Beautiful Naughty Step III: 60 Apple 77 Good 92 Mid 39 56 Orange 35 Beautiful Naughty Step IV: 57 Orange 60 Apple 77 Good 92 Mid 39 35 Beautiful Naughty Step V: 40 Naughty 57 Orange 60 Apple 77 Good 92 Mid 35 Beautiful Step VI: 36 Beautiful 40 Naughty 57 Orange 60 Apple 77 Good 92 Mid (final) The given line is Step III, and the final output is Step VI, so 3 more steps are needed.

  6. Question 66

    Input: Krishna 32 Book 39 Ice 91 Invite 47 63 Mango 25 GO Step I: 92 Go Krishna 32 Book 39 Ice Invite 47 63 Mango 25 Step II: 64 Ice 92 Go Krishna 32 Book 39 Invite 47 Mango 25 Step III: 48 Book 64 Ice 92 Go Krishna 32 39 Invite Mango 25 Step IV: 40 Mango 48 Book 64 Ice 92 Go Krishna 32 Invite 25 Step V: 33 Invite 40 Mango 48 Book 64 Ice 92 Go Krishna 25 Step VI:26 Krishna 33 Invite 40 Mango 48 Book 64 Ice 92 Go Input: Mid 39 Apple 56 Good 59 Orange 35 Beautiful 76 Naughty 91 Which step of the following step “40 Naughty 57 Orange 60 Apple 77 Good 92 Mid 35 Beautiful”.
    • (A)Step III
    • (B)Step IV
    • (C)Step V
    • (D)This step is not possible
    • (E)None of these
    Show answer and explanation

    Correct answer: (C) Step V

    Rule from the worked example: in every step the largest number not yet moved is increased by 1 and placed at the left end, followed by the shortest word not yet moved. The pairs already moved shift to the right and the remaining elements keep their order. Applying it to the new input (Mid 39 Apple 56 Good 59 Orange 35 Beautiful 76 Naughty 91): Step I: 92 Mid 39 Apple 56 Good 59 Orange 35 Beautiful 76 Naughty Step II: 77 Good 92 Mid 39 Apple 56 59 Orange 35 Beautiful Naughty Step III: 60 Apple 77 Good 92 Mid 39 56 Orange 35 Beautiful Naughty Step IV: 57 Orange 60 Apple 77 Good 92 Mid 39 35 Beautiful Naughty Step V: 40 Naughty 57 Orange 60 Apple 77 Good 92 Mid 35 Beautiful Step VI: 36 Beautiful 40 Naughty 57 Orange 60 Apple 77 Good 92 Mid (final) The line '40 Naughty 57 Orange 60 Apple 77 Good 92 Mid 35 Beautiful' is exactly Step V.

  7. Question 67

    Input: Krishna 32 Book 39 Ice 91 Invite 47 63 Mango 25 GO Step I: 92 Go Krishna 32 Book 39 Ice Invite 47 63 Mango 25 Step II: 64 Ice 92 Go Krishna 32 Book 39 Invite 47 Mango 25 Step III: 48 Book 64 Ice 92 Go Krishna 32 39 Invite Mango 25 Step IV: 40 Mango 48 Book 64 Ice 92 Go Krishna 32 Invite 25 Step V: 33 Invite 40 Mango 48 Book 64 Ice 92 Go Krishna 25 Step VI:26 Krishna 33 Invite 40 Mango 48 Book 64 Ice 92 Go Input: Mid 39 Apple 56 Good 59 Orange 35 Beautiful 76 Naughty 91 If “77 Good 92 Mid 39 Apple 56 67 Orange 35 Beautiful Naughty” is the step 2 of an input. Find out the step I from this step.
    • (A)92 Mid39 Apple 56 Good 67 Orange 35 Beautiful 76 Naughty
    • (B)92 Mid39 Apple 56 Beautiful 76 Naughty Good 67 Orange 35
    • (C)92 Mid 67 Orange 35 Beautiful 76 Naughty 39 Apple 56 Good
    • (D)Can’t be determined
    • (E)None of these
    Show answer and explanation

    Correct answer: (D) Can’t be determined

    Rule from the worked example: in every step the largest number not yet moved is increased by 1 and placed at the left end, followed by the shortest word not yet moved. The pairs already moved shift to the right and the remaining elements keep their order. The line given for step 2 contains the pair '77 Good' at the left end. To go back to step 1 we would have to put 76 and 'Good' back among the remaining elements, but nothing in the step shows where they originally stood, so step I cannot be determined.

  8. Question 68

    Input: Krishna 32 Book 39 Ice 91 Invite 47 63 Mango 25 GO Step I: 92 Go Krishna 32 Book 39 Ice Invite 47 63 Mango 25 Step II: 64 Ice 92 Go Krishna 32 Book 39 Invite 47 Mango 25 Step III: 48 Book 64 Ice 92 Go Krishna 32 39 Invite Mango 25 Step IV: 40 Mango 48 Book 64 Ice 92 Go Krishna 32 Invite 25 Step V: 33 Invite 40 Mango 48 Book 64 Ice 92 Go Krishna 25 Step VI:26 Krishna 33 Invite 40 Mango 48 Book 64 Ice 92 Go Input: Mid 39 Apple 56 Good 59 Orange 35 Beautiful 76 Naughty 91 Which word/ number would be at the seventh position from the left end in the final step?
    • (A)57
    • (B)Apple
    • (C)60
    • (D)Orange
    • (E)None of these
    Show answer and explanation

    Correct answer: (C) 60

    Rule from the worked example: in every step the largest number not yet moved is increased by 1 and placed at the left end, followed by the shortest word not yet moved. The pairs already moved shift to the right and the remaining elements keep their order. Applying it to the new input (Mid 39 Apple 56 Good 59 Orange 35 Beautiful 76 Naughty 91): Step I: 92 Mid 39 Apple 56 Good 59 Orange 35 Beautiful 76 Naughty Step II: 77 Good 92 Mid 39 Apple 56 59 Orange 35 Beautiful Naughty Step III: 60 Apple 77 Good 92 Mid 39 56 Orange 35 Beautiful Naughty Step IV: 57 Orange 60 Apple 77 Good 92 Mid 39 35 Beautiful Naughty Step V: 40 Naughty 57 Orange 60 Apple 77 Good 92 Mid 35 Beautiful Step VI: 36 Beautiful 40 Naughty 57 Orange 60 Apple 77 Good 92 Mid (final) Final step: 36 Beautiful 40 Naughty 57 Orange 60 Apple 77 Good 92 Mid. Counting from the left, the 7th element is 60.

  9. Question 69

    Input: Krishna 32 Book 39 Ice 91 Invite 47 63 Mango 25 GO Step I: 92 Go Krishna 32 Book 39 Ice Invite 47 63 Mango 25 Step II: 64 Ice 92 Go Krishna 32 Book 39 Invite 47 Mango 25 Step III: 48 Book 64 Ice 92 Go Krishna 32 39 Invite Mango 25 Step IV: 40 Mango 48 Book 64 Ice 92 Go Krishna 32 Invite 25 Step V: 33 Invite 40 Mango 48 Book 64 Ice 92 Go Krishna 25 Step VI:26 Krishna 33 Invite 40 Mango 48 Book 64 Ice 92 Go Input: Mid 39 Apple 56 Good 59 Orange 35 Beautiful 76 Naughty 91 In which step the element ‘92 Mid 39 35’ found in the same order?
    • (A)3rd step
    • (B)4th step
    • (C)5th step
    • (D)6th step
    • (E)None of these
    Show answer and explanation

    Correct answer: (B) 4th step

    Rule from the worked example: in every step the largest number not yet moved is increased by 1 and placed at the left end, followed by the shortest word not yet moved. The pairs already moved shift to the right and the remaining elements keep their order. Applying it to the new input (Mid 39 Apple 56 Good 59 Orange 35 Beautiful 76 Naughty 91): Step I: 92 Mid 39 Apple 56 Good 59 Orange 35 Beautiful 76 Naughty Step II: 77 Good 92 Mid 39 Apple 56 59 Orange 35 Beautiful Naughty Step III: 60 Apple 77 Good 92 Mid 39 56 Orange 35 Beautiful Naughty Step IV: 57 Orange 60 Apple 77 Good 92 Mid 39 35 Beautiful Naughty Step V: 40 Naughty 57 Orange 60 Apple 77 Good 92 Mid 35 Beautiful Step VI: 36 Beautiful 40 Naughty 57 Orange 60 Apple 77 Good 92 Mid (final) The elements '92 Mid 39 35' appear together and in this order only in Step IV ('... 92 Mid 39 35 Beautiful Naughty'). In Step III the 56 sits between 39 and 35, and in Step V the 39 has already moved.

  10. Question 70

    Statement-Raising a stink: The waste bomb is ticking for India i. With enormous amount of trash generated annually, landfills are fast running out of space; and there will be no space on land for more dump sites. ii. The economy promotes production. The plastic trader still wants to produce more. To counter this, we need strong material recovery mechanisms. iii. Not too long ago, recycling was a way of Indian life. Rapid urbanisation and rising incomes triggered wasteful consumption. Which of the following can be the repercussion of the following statement?
    • (A)Only (III)
    • (B)Only (II)
    • (C)Only (I)
    • (D)All (I),(II) and (III)
    • (E)None of these
    Show answer and explanation

    Correct answer: (C) Only (I)

    The question asks for the repercussion (consequence) of the statement about the waste problem. (I) is a consequence: with so much trash generated, landfills are running out of space and there will soon be nowhere to dump more. (II) talks about production and the remedy (material recovery), and (III) explains how wasteful consumption began. Neither describes what will happen as a result of the problem. So only (I) is correct.

  11. Question 71

    Statement-Surrender and join mainstream for safe future, security agencies tell militants i. Boosted by the success against the rank and file of militants in recent times, security forces have jointly appealed to the insurgents and their over ground workers to surrender and join the mainstream. ii. The Army Major speaks about the stunning mission in a new book being brought out on the first anniversary of surgical strikes in Pakistan occupied Kashmir. iii. Security forces supposed to rehabilitate and help a militant join the mainstream if he is arrested or surrenders provided, he is not involved in any heinous crime. Which of the following is not-in-line with the above statement?
    • (A)Only (III)
    • (B)Only (II)
    • (C)Only (I)
    • (D)Both (I) and (III)
    • (E)None of these
    Show answer and explanation

    Correct answer: (B) Only (II)

    (I) is in line with the headline: security forces appeal to militants to surrender and join the mainstream. (III) is in line too: it says surrendered militants will be rehabilitated if they are not involved in heinous crimes. (II) is about an army major's book on the surgical strikes. It has nothing to do with militants surrendering, so only (II) is not in line with the statement.

  12. Question 72

    Six persons i.e. A, B, C, D, E and F who sits in a row such that all are facing towards north. Who among the following sits at the right end at the row? I. A sits second to the right of B. Both A and B does not sit at the end of the row. Only one person sits between E and D. II. C and F are the immediate neighbour of each other. More than two persons sits between C and A. E is not the immediate neighbour of B.
    • (A)If statements I alone is sufficient to answer the question, but statement II alone is not sufficient to answer the question.
    • (B)If statement II alone is sufficient to answer the question, but statement I alone is not sufficient to answer the question
    • (C)If statement either I or II is sufficient to answer the question.
    • (D)If both the statements I and II taken together are not sufficient to answer the questions.
    • (E)If both the statements I and II taken together are sufficient to answer the questions.
    Show answer and explanation

    Correct answer: (E) If both the statements I and II taken together are sufficient to answer the questions.

    Statement I alone: A is second to the right of B and neither is at an end, so (B, A) = (2nd, 4th) or (3rd, 5th) seat. D and E have one person between them. The person on the right end can still be F, C, E or D, so I alone is not enough. Statement II alone: C and F are neighbours with more than two persons between C and A, and E is not next to B. Many arrangements fit, so II alone is not enough. Together: with (B, A) = (2nd, 4th), C would need more than two persons between itself and A and no seat is possible, so B is 3rd and A is 5th. C must then be 1st and F 2nd. D and E take the 4th and 6th seats; E cannot be next to B, so E is 6th and D is 4th. Arrangement (left to right): C F B D A E. E sits at the right end. Both statements together are sufficient.

  13. Question 73

    P, Q, R, S, T, U are sitting in a circular table. How many persons are facing to the centre? i. Only two persons sit between P and Q. P is facing to the centre. R sits 2nd left of U. Q, S, and T don’t face the same direction as U faces. ii. R sits immediate left of P. Only two persons sit between S and R.
    • (A)If statements I alone is sufficient to answer the question, but statement II alone is not sufficient to answer the question.
    • (B)If statement II alone is sufficient to answer the question, but statement I alone is not sufficient to answer the question
    • (C)If statement either I or II is sufficient to answer the question.
    • (D)If both the statements I and II taken together are not sufficient to answer the questions.
    • (E)If both the statements I and II taken together are sufficient to answer the questions.
    Show answer and explanation

    Correct answer: (D) If both the statements I and II taken together are not sufficient to answer the questions.

    Statement I alone and Statement II alone do not fix how many persons face the centre. Together: P and Q are opposite each other, P faces the centre, R sits immediately to the left of P and S is opposite R. Even with all this, the remaining persons (T and U) and their facing directions can be set in two valid ways, in which 2 persons face the centre in one arrangement and 3 in another. Since the number is not unique, the two statements together are not sufficient.

  14. Question 74

    Certain number of persons are sitting in a row facing north. Who among the following sits immediate right of C? I. Only three persons sit between A and D who sits one of the ends. B sits third to the right of C who is not an immediate neighbor of F. II. C sits fourth to the right of H. E sits second to the left of B who sits one of the extreme ends. F neither immediate neighbor of H nor E.
    • (A)If statements I alone is sufficient to answer the question, but statement II alone is not sufficient to answer the question.
    • (B)If statement II alone is sufficient to answer the question, but statement I alone is not sufficient to answer the question
    • (C)If statement either I or II is sufficient to answer the question.
    • (D)If both the statements I and II taken together are not sufficient to answer the questions.
    • (E)If both the statements I and II taken together are sufficient to answer the questions.
    Show answer and explanation

    Correct answer: (E) If both the statements I and II taken together are sufficient to answer the questions.

    From Statement II: B sits at an extreme end and E is second to the left of B, so B must be at the right end (E could not be to its left otherwise) and E sits two places to the left of B. From Statement I: B is third to the right of C, so C sits three places to the left of B. Taking both: C is three places left of B and E is two places left of B, so E is immediately to the right of C. Neither statement alone fixes both C and E relative to B, so both together are needed and sufficient.

  15. Question 75

    There are 5 boxes V, W, X, Y, and Z of chocolate stored in 5 floor shelves one above the others. In which floor does box X store? (I) Box Y is at topmost floor. Box W is just below V, but store in even numbered floor. (II) Box Y does not store in an even number floor. (III) Box Z does not store in even number floor but placed below box W.
    • (A)If the data in statement I alone or in the statement II alone or in the statement III alone is sufficient to answer the question.
    • (B)If the data in statement I and II together are sufficient to answer the question, while the data in statement III are not sufficient to answer the question.
    • (C)If the data in statement I and III together are sufficient to answer the question, while the data in statement II is not sufficient to answer the question.
    • (D)If the data in statement II and III together are sufficient to answer the question, while the data in statement I is not sufficient to answer the question.
    • (E)If the data in all the statement I, II and III together are necessary to answer the question.
    Show answer and explanation

    Correct answer: (C) If the data in statement I and III together are sufficient to answer the question, while the data in statement II is not sufficient to answer the question.

    Floors are numbered 1 (bottom) to 5 (top). Statement I: Y is on floor 5. W is on an even floor with V directly above it. W cannot be on floor 4 (V would be on 5, where Y is), so W is on 2 and V on 3. X and Z occupy floors 1 and 4 in some order, so I alone is not enough. Statement III: Z is on an odd floor below W. With W on floor 2, Z must be on floor 1, so X is on floor 4. Statement II (Y is not on an even floor) adds nothing once Y is known to be on floor 5, and II alone or III alone cannot fix X. So Statements I and III together are sufficient and II is not needed.

  16. Question 76

    There are eight members in a family i.e. P, Q, R, S, T, U, V and W. There are four females and three married couples. R is daughter in law of V. P is sister-in-law of R. W is son of P. W is brother of U. T is father of S, who is not married to P. T has only one child. Who among the following is sister-in-law of S?
    • (A)Q
    • (B)P
    • (C)R
    • (D)S
    • (E)None of these
    Show answer and explanation

    Correct answer: (B) P

    T has only one child, S, so S is T's only child and has no brother or sister. R is V's daughter-in-law, so R's husband is V's son. The only possible son of V is S, so S is married to R and V is S's mother (and T's wife). P is R's sister-in-law and is not married to S, so P is the wife of R's brother. That brother can only be Q, and W and U are the children of P and Q. Couples: T-V, S-R, Q-P. The four females are V, R, P and U. S's wife is R, and R's brother Q is married to P. So P is S's sister-in-law.

  17. Question 77

    There are eight members in a family i.e. P, Q, R, S, T, U, V and W. There are four females and three married couples. R is daughter in law of V. P is sister in law of R. W is son of P. W is brother of U. T is father of S, who is not married to P. T has only one child. Which of the following is true about Q?
    • (A)U is son of Q
    • (B)Q is daughter T
    • (C)R is sister-in-law of Q.
    • (D)U is daughter of Q
    • (E)None of true
    Show answer and explanation

    Correct answer: (D) U is daughter of Q

    T has only one child, S, so S is T's only child and has no brother or sister. R is V's daughter-in-law, so R's husband is V's son. The only possible son of V is S, so S is married to R and V is S's mother (and T's wife). P is R's sister-in-law and is not married to S, so P is the wife of R's brother. That brother can only be Q, and W and U are the children of P and Q. Couples: T-V, S-R, Q-P. The four females are V, R, P and U, so U is Q's daughter. So 'U is daughter of Q' is true.

  18. Question 78

    E, F, G, H, I and J are six family members. E and F are a married couple. I is sister of H. F is daughter-in- law of J, who is grandmother of I’s brother. H is the only son of G, who is brother of E. What is the relation of F with H?
    • (A)Brother
    • (B)Mother
    • (C)Uncle
    • (D)Aunt
    • (E)None of true
    Show answer and explanation

    Correct answer: (D) Aunt

    J is the grandmother of H and I, and also F's mother-in-law, so J is the mother of E (F's husband) and of G (E's brother). H is G's only son and I is H's sister, so G is I's father too. F is the wife of E, who is the brother of H's father, so F is H's aunt.

  19. Question 79

    E, F, G, H, I and J are six family members. E and F are a married couple. I is sister of H. F is daughter-in- law of J, who is grandmother of I’s brother. H is the only son of G, who is brother of E. How is G related to I?
    • (A)Mother
    • (B)Brother
    • (C)Sister
    • (D)Father
    • (E)None of true
    Show answer and explanation

    Correct answer: (D) Father

    H is G's only son and I is H's sister, so I is also G's child. G is therefore I's father.

  20. Question 80

    Statement I. Unemployment situation in Country X has worsened over the past couple of years. Statement II. The government of country X has been promoting automation in various sectors to achieve higher growth rates.
    • (A)Statement I is the cause and statement II is its effect;
    • (B)Statement II is the cause and statement I is its effect;
    • (C)Both the statements I-and II are independent causes;
    • (D)Both the statements I and II are effects of independent causes;
    • (E)Both the statements I and II are effects of some common cause.
    Show answer and explanation

    Correct answer: (B) Statement II is the cause and statement I is its effect;

    The government is promoting automation to achieve higher growth (Statement II). Automation replaces workers, which is a likely reason for the worsening unemployment (Statement I). So Statement II is the cause and Statement I is its effect.

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