Aptitude test · free, with answers

Logical Reasoning Test

This logical reasoning test has 25 multiple-choice questions on number and letter series, coding-decoding, blood relations, direction sense, syllogisms, seating arrangement, ranking, analogies and clocks. These are the question types used in campus placement tests and bank and government job exams. You get 25 minutes, and each answer has a step-by-step explanation.

  • 25 questions
  • 25 minutes
  • 10 easy · 10 medium · 5 hard

Topics: Number series · Letter series · Odd one out · Coding-decoding · Blood relations · Direction sense · Syllogisms · Seating arrangement · Ranking · Analogy · Clocks

Answer key: all 25 questions with answers and explanations
  1. 1. Find the next number in the series: 2, 6, 12, 20, 30, ?

    1. A. 40
    2. B. 42
    3. C. 36
    4. D. 44

    Answer: B. 42

    The differences are 4, 6, 8, 10, so the next difference is 12: 30 + 12 = 42. Each term is also n × (n + 1): 1×2, 2×3, 3×4, 4×5, 5×6, 6×7 = 42.

  2. 2. Find the next number in the series: 3, 7, 15, 31, 63, ?

    1. A. 126
    2. B. 125
    3. C. 127
    4. D. 129

    Answer: C. 127

    Each term is the previous term × 2 + 1: 3×2+1 = 7, 7×2+1 = 15, 15×2+1 = 31, 31×2+1 = 63, 63×2+1 = 127.

  3. 3. Find the next number in the series: 2, 3, 5, 7, 11, 13, ?

    1. A. 15
    2. B. 16
    3. C. 19
    4. D. 17

    Answer: D. 17

    These are the prime numbers in order. The next prime after 13 is 17 (15 = 3 × 5 and 16 = 2 × 8 are not prime).

  4. 4. Find the next letter in the series: A, C, F, J, O, ?

    1. A. U
    2. B. T
    3. C. V
    4. D. W

    Answer: A. U

    Letter positions are 1, 3, 6, 10, 15. The gaps grow by one each time: +2, +3, +4, +5, so the next gap is +6. 15 + 6 = 21, and the 21st letter is U.

  5. 5. Find the next number in the series: 1, 2, 6, 24, 120, ?

    1. A. 240
    2. B. 600
    3. C. 720
    4. D. 840

    Answer: C. 720

    Each term is the previous term multiplied by the next whole number: ×2, ×3, ×4, ×5, so the next step is ×6. 120 × 6 = 720.

  6. 6. Which number is the odd one out? 27, 64, 144, 216

    1. A. 27
    2. B. 64
    3. C. 144
    4. D. 216

    Answer: C. 144

    27 = 3³, 64 = 4³ and 216 = 6³ are perfect cubes. 144 is 12², a perfect square but not a perfect cube, so it is the odd one out.

  7. 7. If CAT is written as DBU in a code, how is DOG written in that code?

    1. A. EPH
    2. B. CNF
    3. C. EOH
    4. D. FQI

    Answer: A. EPH

    Each letter moves one place forward: C→D, A→B, T→U. So D→E, O→P, G→H, giving EPH.

  8. 8. In a certain code, MANGO is written as OCPIQ. How is APPLE written in that code?

    1. A. BQQMF
    2. B. CRRNG
    3. C. CQRNG
    4. D. CRRMG

    Answer: B. CRRNG

    Each letter moves two places forward: M→O, A→C, N→P, G→I, O→Q. So A→C, P→R, P→R, L→N, E→G, giving CRRNG.

  9. 9. In a certain code, GOLD is written as EMPH. How is SILK written in that code?

    1. A. TJML
    2. B. LMKT
    3. C. LMJT
    4. D. TJMK

    Answer: C. LMJT

    The word is reversed and each letter is moved one place forward. GOLD reversed is DLOG; D→E, L→M, O→P, G→H gives EMPH. SILK reversed is KLIS; K→L, L→M, I→J, S→T gives LMJT.

  10. 10. Pointing to a boy, Riya (a woman) says, “His mother is the only daughter of my mother.” How is the boy related to Riya?

    1. A. Brother
    2. B. Nephew
    3. C. Cousin
    4. D. Son

    Answer: D. Son

    The only daughter of Riya’s mother is Riya herself, because Riya is a woman. So the boy’s mother is Riya, which makes the boy her son.

  11. 11. A is B’s sister. C is B’s mother. D is C’s father. How is A related to D?

    1. A. Daughter
    2. B. Granddaughter
    3. C. Niece
    4. D. Grandmother

    Answer: B. Granddaughter

    A and B are siblings, so C is also A’s mother. D is C’s father, so D is A’s grandfather. A is female (a sister), so A is D’s granddaughter.

  12. 12. In a code, P + Q means P is the brother of Q, P × Q means P is the father of Q, and P − Q means P is the sister of Q. What does A × B + C − D mean?

    1. A. A is the uncle of D
    2. B. A is the brother of D
    3. C. A is the grandfather of D
    4. D. A is the father of D

    Answer: D. A is the father of D

    A × B: A is B’s father. B + C: B is C’s brother. C − D: C is D’s sister. So B, C and D are siblings, and A, the father of B, is also the father of D.

  13. 13. Kiran walks 5 km north, turns right and walks 3 km, then turns right again and walks 5 km. How far is Kiran from the starting point, and in which direction?

    1. A. 3 km east
    2. B. 3 km west
    3. C. 5 km east
    4. D. 8 km north

    Answer: A. 3 km east

    Facing north, a right turn faces east (3 km). Another right turn faces south, and 5 km south cancels the 5 km north. Kiran ends 3 km east of the start.

  14. 14. A man walks 6 km east, then turns left and walks 8 km. How far is he from his starting point in a straight line?

    1. A. 14 km
    2. B. 12 km
    3. C. 10 km
    4. D. 2 km

    Answer: C. 10 km

    Walking east and then turning left means walking north. The two legs are at right angles, so the distance is √(6² + 8²) = √(36 + 64) = √100 = 10 km.

  15. 15. Meera faces north. She turns 90° clockwise, then 180° anticlockwise, and then 45° clockwise. Which direction does she face now?

    1. A. North-east
    2. B. North-west
    3. C. South-west
    4. D. South-east

    Answer: B. North-west

    North turned 90° clockwise is east. East turned 180° anticlockwise is west. West turned 45° clockwise is north-west.

  16. 16. Just after sunrise, Sita is walking on a straight road and her shadow falls exactly to her right. Which direction is she walking in?

    1. A. North
    2. B. East
    3. C. West
    4. D. South

    Answer: D. South

    At sunrise the sun is in the east, so shadows point west. If the shadow is on her right, her right side faces west. A person whose right hand points west is facing south.

  17. 17. Statements: All roses are flowers. All flowers are plants. Conclusions: I. All roses are plants. II. Some plants are roses.

    1. A. Only I follows
    2. B. Only II follows
    3. C. Both I and II follow
    4. D. Neither I nor II follows

    Answer: C. Both I and II follow

    Roses sit inside flowers, which sit inside plants, so all roses are plants (I follows). Since all roses are plants, at least some plants are roses (II follows too).

  18. 18. Statements: Some pens are books. No book is a bag. Conclusions: I. Some pens are not bags. II. No pen is a bag.

    1. A. Only I follows
    2. B. Only II follows
    3. C. Both I and II follow
    4. D. Neither I nor II follows

    Answer: A. Only I follows

    The pens that are books cannot be bags, so some pens are not bags (I follows). Other pens may or may not be bags; nothing rules that out, so II does not follow.

  19. 19. Statements: All doctors are graduates. Some graduates are singers. Conclusions: I. Some doctors are singers. II. Some singers are graduates.

    1. A. Only I follows
    2. B. Only II follows
    3. C. Both I and II follow
    4. D. Neither I nor II follows

    Answer: B. Only II follows

    The graduates who sing may all be non-doctors, so I does not necessarily follow. “Some graduates are singers” can be reversed to “some singers are graduates”, so II follows.

  20. 20. P, Q, R, S and T sit in a row facing north. R sits in the middle. P sits at the extreme left. T sits immediately to the right of P. S does not sit at either end. Who sits at the extreme right?

    1. A. S
    2. B. T
    3. C. R
    4. D. Q

    Answer: D. Q

    Seats from left: P is 1st, T is 2nd, R is 3rd (middle). S is not at an end, so S takes the 4th seat. Q is left with the 5th seat, the extreme right.

  21. 21. Six friends A, B, C, D, E and F sit around a round table with equal spacing. A sits opposite D. B sits between A and C. E does not sit next to A. Who sits opposite B?

    1. A. C
    2. B. E
    3. C. F
    4. D. D

    Answer: B. E

    Put A in seat 1 and D in seat 4. B is next to A, and C is next to B on the other side. The two empty seats are then one next to A and one opposite B. E cannot sit next to A, so E takes the seat opposite B, and F sits next to A. This holds on either side of A.

  22. 22. In a class of 40 students, Meena ranks 12th from the top. What is her rank from the bottom?

    1. A. 29th
    2. B. 28th
    3. C. 30th
    4. D. 27th

    Answer: A. 29th

    Rank from bottom = total − rank from top + 1 = 40 − 12 + 1 = 29th. Check: 11 students above her, 28 below her, 11 + 1 + 28 = 40.

  23. 23. In a row of people, Arjun is 9th from the left end and 14th from the right end. How many people are in the row?

    1. A. 21
    2. B. 23
    3. C. 24
    4. D. 22

    Answer: D. 22

    Total = left position + right position − 1 = 9 + 14 − 1 = 22. Arjun is counted in both positions, so subtract him once.

  24. 24. 4 : 64 :: 6 : ?

    1. A. 216
    2. B. 36
    3. C. 124
    4. D. 256

    Answer: A. 216

    64 is the cube of 4 (4 × 4 × 4). Following the same rule, the cube of 6 is 6 × 6 × 6 = 216.

  25. 25. What is the smaller angle between the hour hand and the minute hand of a clock at 3:40?

    1. A. 120°
    2. B. 140°
    3. C. 130°
    4. D. 150°

    Answer: C. 130°

    Angle = |30 × hours − 5.5 × minutes| = |30 × 3 − 5.5 × 40| = |90 − 220| = 130°. Since 130° is less than 180°, it is the smaller angle.

How this test is scored

Each correct answer earns one mark and there is no negative marking. A score of 18 or more out of 25 is a strong result; below 12 means you should practise the weaker topics before a real test.

On the result screen, below 50% means the topics need more practice, 50–75% is a good base to build on, and above 75% means you are ready for questions like these. These bands are for your own practice only.

How to prepare

  • Draw it out. For direction sense, blood relations and seating, a quick sketch on rough paper prevents most mistakes.
  • For syllogisms, use simple circle diagrams and only accept a conclusion that is true in every possible diagram.
  • For series, first check the differences between terms, then look for multiplication, squares, cubes or primes.
  • Memorise letter positions (A=1 to Z=26) and the reverse positions (A=26 to Z=1) to speed up coding-decoding.
  • In seating puzzles, place the fixed clues first (ends, middle, opposite) and fill the flexible ones last.

Tests are one part of the process. Read the interview preparation guide and practise answering out loud with the free interview practice tool.

FAQ

Questions about the Logical Reasoning Test

Most placement and competitive exam reasoning sections cover number and letter series, coding-decoding, blood relations, direction sense, syllogisms, seating arrangement, ranking and order, analogies, odd one out, and clock and calendar questions. Bigger exams add puzzles and data sufficiency. The topics in this practice test are the ones that appear most often.

Draw each statement as circles: “All A are B” puts circle A inside circle B, “Some A are B” overlaps them, and “No A is B” keeps them apart. A conclusion follows only if it is true in every diagram you can draw from the statements. If you can draw even one diagram where it is false, it does not follow.

It is different, not harder. Reasoning needs less formula knowledge and more careful reading, so most people improve faster in reasoning with practice. Mistakes usually come from misreading left and right or skipping a clue, not from difficult calculations.

Around 20 to 30 mixed reasoning questions a day for two to three weeks is enough for most placement tests. Time yourself, review every wrong answer, and spend extra time on the topic you get wrong most often.

Show your skills with a personal website

Put your resume, projects and certificates on one link recruiters can open on any phone — live in about five minutes.

● Live in 5 minutes · free to start · no auto-renew

Recruiters Google you before the interview

Get a page that shows up: your experience, projects and contact details at your own link. Live in minutes.

Start free
Chat on WhatsApp