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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 101

    Statements: A ≥ P > K, Q > A = R Conclusions: I. Q = K II. Q > K
    • (A)if only conclusion I is true
    • (B)if only conclusion II is true
    • (C)if either conclusion I or II is true
    • (D)if neither conclusion I nor II is true
    • (E)if both conclusions I and II are true
    Show answer and explanation

    Correct answer: (B) if only conclusion II is true

    Q > A = R and A >= P > K, so Q > A >= P > K, which gives Q > K. I (Q = K) is false and II (Q > K) is true, so only II is true.

  2. Question 102

    Statements: A = N > M < B, Q > N Conclusions: I. Q > B II. B > Q
    • (A)if only conclusion I is true
    • (B)if only conclusion II is true
    • (C)if either conclusion I or II is true
    • (D)if neither conclusion I nor II is true
    • (E)if both conclusions I and II are true
    Show answer and explanation

    Correct answer: (D) if neither conclusion I nor II is true

    A = N > M < B and Q > N. Q is greater than N (= A), but nothing links Q and B (B is only known to be greater than M). So neither Q > B nor B > Q can be concluded.

  3. Question 103

    Statements: Q = N > X < Z, L > N Conclusions: I. L > Q II. X < L
    • (A)if only conclusion I is true
    • (B)if only conclusion II is true
    • (C)if either conclusion I or II is true
    • (D)if neither conclusion I nor II is true
    • (E)if both conclusions I and II are true
    Show answer and explanation

    Correct answer: (E) if both conclusions I and II are true

    Q = N > X < Z and L > N. So L > N = Q gives L > Q (I is true), and N > X with L > N gives L > X (II is true). Both conclusions are true.

  4. Question 104

    Statements: J ≤ K = M, N ≥ P > K, Q > N = R Conclusions: i. M > J ii. J = M
    • (A)if only conclusion I is true
    • (B)if only conclusion II is true
    • (C)if either conclusion I or II is true
    • (D)if neither conclusion I nor II is true
    • (E)if both conclusions I and II are true
    Show answer and explanation

    Correct answer: (C) if either conclusion I or II is true

    J <= K = M, so M >= J: either M > J or J = M. These two conclusions are complementary, so either I or II is true.

  5. Question 105

    In a certain code language, ‘energy save bright light’ is written as ‘su da nc ki’, ‘human light south effect’ is written as ‘ph ra ti da’, ‘found effect bright health’ is written as ‘ti gi ki mo’, ‘health system south energy’ is written as ‘zo nc ph gi’. What is the code for ‘save’?
    • (A)da
    • (B)su
    • (C)nc
    • (D)ki
    • (E)Cannot be determined
    Show answer and explanation

    Correct answer: (B) su

    Compare the coded sentences: 'light' is common to the first two sentences and 'da' is the common code, so light = da. Likewise bright = ki (first and third), energy = nc (first and fourth), effect = ti (second and third), south = ph (second and fourth), health = gi (third and fourth). The leftover codes give save = su, human = ra, found = mo and system = zo. So the code for 'save' is su.

  6. Question 106

    In a certain code language, ‘energy save bright light’ is written as ‘su da nc ki’, ‘human light south effect’ is written as ‘ph ra ti da’, ‘found effect bright health’ is written as ‘ti gi ki mo’, ‘health system south energy’ is written as ‘zo nc ph gi’. Which of the following is the code for ‘human health bright’?
    • (A)zo ra ki
    • (B)ra su mo
    • (C)ti su ra
    • (D)ki ra gi
    • (E)None of these
    Show answer and explanation

    Correct answer: (D) ki ra gi

    Compare the coded sentences: 'light' is common to the first two sentences and 'da' is the common code, so light = da. Likewise bright = ki (first and third), energy = nc (first and fourth), effect = ti (second and third), south = ph (second and fourth), health = gi (third and fourth). The leftover codes give save = su, human = ra, found = mo and system = zo. human = ra, health = gi, bright = ki, so 'human health bright' is 'ki ra gi' in some order.

  7. Question 107

    In a certain code language, ‘energy save bright light’ is written as ‘su da nc ki’, ‘human light south effect’ is written as ‘ph ra ti da’, ‘found effect bright health’ is written as ‘ti gi ki mo’, ‘health system south energy’ is written as ‘zo nc ph gi’. What does ‘mo’ stand for?
    • (A)bright
    • (B)health
    • (C)found
    • (D)south
    • (E)Cannot be determined
    Show answer and explanation

    Correct answer: (C) found

    Compare the coded sentences: 'light' is common to the first two sentences and 'da' is the common code, so light = da. Likewise bright = ki (first and third), energy = nc (first and fourth), effect = ti (second and third), south = ph (second and fourth), health = gi (third and fourth). The leftover codes give save = su, human = ra, found = mo and system = zo. 'mo' stands for 'found'.

  8. Question 108

    In a certain code language, ‘energy save bright light’ is written as ‘su da nc ki’, ‘human light south effect’ is written as ‘ph ra ti da’, ‘found effect bright health’ is written as ‘ti gi ki mo’, ‘health system south energy’ is written as ‘zo nc ph gi’. Which of the following is represented by the code ‘da ph nc’?
    • (A)south effect energy
    • (B)energy light system
    • (C)energy light south
    • (D)south human effect
    • (E)None of these
    Show answer and explanation

    Correct answer: (C) energy light south

    Compare the coded sentences: 'light' is common to the first two sentences and 'da' is the common code, so light = da. Likewise bright = ki (first and third), energy = nc (first and fourth), effect = ti (second and third), south = ph (second and fourth), health = gi (third and fourth). The leftover codes give save = su, human = ra, found = mo and system = zo. da = light, ph = south, nc = energy, so 'da ph nc' is 'energy light south'.

  9. Question 109

    In a certain code language, ‘energy save bright light’ is written as ‘su da nc ki’, ‘human light south effect’ is written as ‘ph ra ti da’, ‘found effect bright health’ is written as ‘ti gi ki mo’, ‘health system south energy’ is written as ‘zo nc ph gi’. Which of the following may be the possible code for ‘team save found light’?
    • (A)su ye ph da
    • (B)mo gi da su
    • (C)da su mo ye
    • (D)ti ye su da
    • (E)None of these
    Show answer and explanation

    Correct answer: (C) da su mo ye

    Compare the coded sentences: 'light' is common to the first two sentences and 'da' is the common code, so light = da. Likewise bright = ki (first and third), energy = nc (first and fourth), effect = ti (second and third), south = ph (second and fourth), health = gi (third and fourth). The leftover codes give save = su, human = ra, found = mo and system = zo. team is not given, but save = su, found = mo and light = da, so 'da su mo ye' (with ye for 'team') is possible. The other options contain gi, ph or ti, which stand for other words.

  10. Question 110

    Which alphabet is 3rd from the left in the meaningful four-letter word formed from the 1st , 2nd, 5th and 8th letter of the word “JOURNALIST”? If more than one word is formed, then mark answer as X and no meaningful word is formed then mark answer as Z.
    • (A)O
    • (B)J
    • (C)Z
    • (D)I
    • (E)X
    Show answer and explanation

    Correct answer: (D) I

    JOURNALIST: 1st = J, 2nd = O, 5th = N, 8th = I. The letters J, O, N, I make the word JOIN only. Its 3rd letter from the left is I.

  11. Question 111

    If in the number “364872159”, 2 is multiply by the digits which is less than 5 and 1 is subtracted to the digits which is greater than 4, then all digits are arranged in ascending order from left to right, then which of the following digit is exactly middle in the number?
    • (A)7
    • (B)6
    • (C)5
    • (D)4
    • (E)None of these
    Show answer and explanation

    Correct answer: (B) 6

    364872159: digits less than 5 (3, 4, 2, 1) are doubled: 6, 8, 4, 2. Digits greater than 4 (6, 8, 7, 5, 9) are reduced by 1: 5, 7, 6, 4, 8. The number becomes 6 5 8 7 6 4 2 4 8. In ascending order: 2, 4, 4, 5, 6, 6, 7, 8, 8. The middle (5th) digit is 6.

  12. Question 112

    Statement: In one of the worst accidents in railway level crossing, fifty people died when a bus carrying them collided on to a running train. Courses of action: i. The train driver should immediately be suspended. ii. The driver of the bus should be tried on court for negligence on his part. iii. The railway authority should be asked to man all its level crossings.
    • (A)None follows
    • (B)Only I and II follow
    • (C)Only III follow
    • (D)Only II and III follow
    • (E)None of these
    Show answer and explanation

    Correct answer: (C) Only III follow

    (i) Suspending the train driver has no basis, as the bus is said to have collided with a running train. (ii) Trying the bus driver is not supported by the statement, which gives no information about negligence. (iii) Making sure level crossings are manned directly addresses the cause of such accidents. Only III follows.

  13. Question 113

    Statement: The Company X has rejected first lot of values supplied by Company A and has cancelled its entire huge order quoting use of inferior quality material and poor craftsmanship. Courses of action: I. The Company A needs to investigate functioning of its purchase, production and quality control departments. II. The Company A should inspect all the values rejected by Company X. III. The Company A should inform Company X that steps have been taken for improvement and renegotiate schedule of supply.
    • (A)Only I and II follow
    • (B)Only II follow
    • (C)II, and either I or III follow
    • (D)All I, II and III follow
    • (E)None of these
    Show answer and explanation

    Correct answer: (A) Only I and II follow

    Company A needs to find out what went wrong (I) and check the rejected lot (II) before it can answer Company X. (III) claims steps have already been taken, which is premature before the investigation. Only I and II follow.

  14. Question 114

    If in the number 9365714873, all the digits are arranged in increasing order from left to right in such a way first prime numbers then odd numbers and last even numbers are arranged. After this arrangement 2 is subtracted to last four digits and 2 is added in the rest of the digits after that subtract 1 from each of the digits then how many digits remain at the same position in the new arrangement?
    • (A)Two
    • (B)Three
    • (C)None
    • (D)One
    • (E)Four
    Show answer and explanation

    Correct answer: (D) One

    9365714873: primes (3, 5, 7, 7, 3) in increasing order: 3 3 5 7 7. Then the other odd digits (9, 1): 1 9. Then the even digits (6, 4, 8): 4 6 8. Arrangement: 3 3 5 7 7 1 9 4 6 8. Subtract 2 from the last four digits (9, 4, 6, 8 become 7, 2, 4, 6) and add 2 to the rest (3, 3, 5, 7, 7, 1 become 5, 5, 7, 9, 9, 3): 5 5 7 9 9 3 7 2 4 6. Subtract 1 from each: 4 4 6 8 8 2 6 1 3 5. Comparing with the original number 9 3 6 5 7 1 4 8 7 3, only the 3rd digit (6) is in the same position. So one digit remains at its position.

  15. Question 115

    Find the next number in the series: 7, 12, 22, 39, 65, ?
    • (A)96
    • (B)98
    • (C)100
    • (D)102
    • (E)104
    Show answer and explanation

    Correct answer: (D) 102

    The differences between consecutive terms are 5, 10, 17, 26 - and the differences of these differences are 5, 7, 9 (increasing by 2 each time). The next difference is 26 + 11 = 37, so the next term is 65 + 37 = 102.

  16. Question 116

    Find the next term in the series: A3, C8, F15, J24, O35, ?
    • (A)T48
    • (B)U46
    • (C)U48
    • (D)V48
    • (E)U50
    Show answer and explanation

    Correct answer: (C) U48

    The letters' alphabet positions are 1, 3, 6, 10, 15 - the triangular numbers - so the next position is 21, which is the letter U. The attached numbers increase by 5, 7, 9, 11 (odd numbers), so the next number is 35 + 13 = 48. The next term is U48.

  17. Question 117

    Four of the following pairs follow the same relationship. Which one is different?
    • (A)14 — 196
    • (B)17 — 289
    • (C)19 — 361
    • (D)23 — 529
    • (E)21 — 431
    Show answer and explanation

    Correct answer: (E) 21 — 431

    Each pair (except one) follows n -> n squared: 14->196, 17->289, 19->361, 23->529. But 21 squared = 441, not 431, so '21 - 431' breaks the pattern.

  18. Question 118

    Kavish walks 9 metres north, turns right and walks 7 metres, turns right and walks 14 metres, then turns left and walks 5 metres. How far and in which direction is he from his starting point?
    • (A)13 m, South-East
    • (B)12 m, South-East
    • (C)13 m, North-East
    • (D)17 m, East
    • (E)5 m, South
    Show answer and explanation

    Correct answer: (A) 13 m, South-East

    Plotting the path on a grid (North = +y, East = +x): 9 m north to (0,9); turn right (facing east), 7 m to (7,9); turn right (facing south), 14 m to (7,-5); turn left (facing east), 5 m to (12,-5). This final point is 12 m east and 5 m south of the start, a straight-line distance of sqrt(12^2 + 5^2) = 13 m, in the South-East direction.

  19. Question 119

    Pallavi is the only daughter of Shreya. Shreya is married to Nikhil. Nikhil is the only brother of Mohan. Mohan is the father of Yash. How is Pallavi related to Yash?
    • (A)Sister
    • (B)Cousin
    • (C)Niece
    • (D)Aunt
    • (E)Sister-in-law
    Show answer and explanation

    Correct answer: (B) Cousin

    Nikhil and Mohan are brothers. Mohan is Yash's father, so Yash is Nikhil's nephew. Pallavi is Nikhil's daughter. Children of siblings (Nikhil and Mohan) are cousins of each other, so Pallavi is Yash's cousin.

  20. Question 120

    Rohan is facing west. He turns 90° clockwise, then 135° anticlockwise, and finally 225° clockwise. Which direction is he facing now?
    • (A)North
    • (B)North-East
    • (C)East
    • (D)South-East
    • (E)South
    Show answer and explanation

    Correct answer: (C) East

    Starting at West (270 degrees): +90 clockwise -> 0 degrees (North); -135 (anticlockwise) -> 225 degrees (South-West); +225 clockwise -> 450 = 90 degrees (East). Rohan ends up facing East.

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