Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 25 · 40 questions

How to think it through (Type, method, check): Name the type of question. Use that lesson’s method — draw it if you can. Check the answer against every clue before you move on.

1. 1.Trees planted in a week: Aarav 23, Siddharth 35, Karan 10, Kabir 15, Rohan 25. What is the difference between the highest and the lowest?
2. 2.Rule: If Riya scores above 90, then Riya gets a gold star. Fact: Riya does not get a gold star. What can you say about “Riya does not score above 90”? (a) must be true (b) must be false (c) can't tell
3. 3.Zoya walks 27 m East, then turns around and walks 19 m. How far is she from the starting point now (in m)?
4. 4.A machine arranges numbers step by step. In each step it takes the smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 45 87 30 33 26 25. After step 2, what is the 5th number from the left?
5. 5.Which number is the odd one out: 8, 16, 64, 75? (a) 8 (b) 16 (c) 64 (d) 75
6. 6.If LION is written as NOIL, how is DOG written in the same code? (a) EPH (b) HPE (c) GOD (d) FNC
7. 7.Each person always tells the truth or always lies. Isha says: “At least one of us two, Farhan or I, is a liar.” Priya says: “Isha is a liar.” Farhan says: “Isha and I both tell the truth.” Is Farhan a truth-teller or a liar? (a) truth-teller (b) liar
8. 8.Four friends (Aisha, Manav, Rahul and Yash) sit in a row. Left and right are as you look at them. Manav sits somewhere to the left of Rahul. Yash sits next to both Manav and Rahul. Manav sits just to the right of Aisha. Who sits just to the left of Rahul? (a) Yash (b) Manav (c) Rahul (d) Aisha
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 19 + 19 − 20 ÷ 9?
10. 10.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) M (b) J (c) E (d) P
11. 11.Books read in the summer holidays: Ananya 23, Neel 11, Rohan 24, Kabir 19, Siddharth 26. Who has the most books? (a) Rohan (b) Siddharth (c) Ananya (d) Neel
12. 12.Rule: If Manav wins the match, then Manav gets a medal. Fact: Manav does not get a medal. What can you say about “Manav wins the match”? (a) must be true (b) must be false (c) can't tell
13. 13.Which number is the odd one out: 29, 71, 5, 60? (a) 29 (b) 71 (c) 5 (d) 60
14. 14.Which number is the odd one out: 70, 28, 30, 60? (a) 70 (b) 28 (c) 30 (d) 60
15. 15.Trees planted in a week: Myra 32, Ishaan 18, Tara 19, Farhan 26, Rohan 16. Who has the fewest trees? (a) Rohan (b) Myra (c) Ishaan (d) Farhan
16. 16.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
17. 17.If TREE is written as GIVV, how is HAND written in the same code? (a) TANX (b) IBOE (c) SZMW (d) RYLV
18. 18.Statements: Some shoes are pens. No caps are shoes. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 3 − 16 × 4?
20. 20.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) I (b) Y (c) R (d) V
21. 21.A wooden cube is painted on all six faces, then each edge is cut into 3 equal parts, making small cubes. How many small cubes have no painted face?
22. 22.In a group of 54 grown-ups, 21 drink tea, 30 drink coffee and 11 drink both. How many drink only coffee?
23. 23.Steps climbed in a minute: Kabir 42, Farhan 39, Yash 25, Aisha 68, Manav 53. What is the difference between the highest and the lowest?
24. 24.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
25. 25.Today is Wednesday. What day of the week will it be 58 days from today? (a) Saturday (b) Friday (c) Thursday (d) Sunday
26. 26.Statements: All books are rings. All books are bells. Conclusion: Some bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 19 + 16 ÷ 15?
28. 28.Find the missing number. The same rule works in every row or in every column.
    ? | 11 | 16
    20 | 2 | 11
    35 | 13 | 27
29. 29.Each person always tells the truth or always lies. Siddharth says: “Ananya and I are the same kind.” Ananya says: “At least one of us two, Siddharth or I, is a liar.” Is Siddharth a truth-teller or a liar? (a) truth-teller (b) liar
30. 30.Statements: No coins are pens. All kites are coins. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
31. 31.A clock shows 3:36. What time does it show in a mirror? (a) 7:24 (b) 9:36 (c) 8:24 (d) 9:24
32. 32.Rule: If the shop is open, then Zoya buys milk. Fact: Zoya buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
33. 33.In a group of 45 grown-ups, 29 drink tea, 16 drink coffee and 9 drink both. How many drink only coffee?
34. 34.Five friends (Aarav, Ananya, Dev, Myra and Rahul) sit in a row. Left and right are as you look at them. Aarav sits just to the right of Ananya. Dev sits just to the right of Aarav. Myra does not sit at either end. Myra sits next to both Rahul and Ananya. Who sits just to the right of Myra? (a) Myra (b) Rahul (c) Aarav (d) Ananya
35. 35.Saanvi, Ishaan and Yash each have a bag of a different colour: white, red or green. Ishaan’s bag is not white. Yash’s bag is not red. Saanvi’s bag is not white. Ishaan’s bag is not green. What colour is Saanvi’s bag? (a) white (b) red (c) green
36. 36.Rule: If Riya wins the match, then Riya gets a medal. Fact: Riya gets a medal. What can you say about “Riya does not win the match”? (a) must be true (b) must be false (c) can't tell
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 9 ÷ 10 + 16?
38. 38.Statements: All caps are cups. Some coins are caps. Conclusion: No coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
39. 39.If DESK is written as JRDC, how is FISH written in the same code? (a) HSIF (b) GRHE (c) ITJG (d) EHRG
40. 40.Statements: All books are toys. All pens are toys. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No

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