Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 731 · 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.Saanvi walks 15 m South, then turns right and walks 7 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
2. 2.Today is Wednesday. What day of the week will it be 97 days from today? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
3. 3.A wooden cube is painted on all six faces, then each edge is cut into 5 equal parts, making small cubes. How many small cubes have exactly three painted faces?
4. 4.Which number is the odd one out: 24, 96, 33, 66? (a) 24 (b) 96 (c) 33 (d) 66
5. 5.Priya is taller than Neel. Ira is shorter than Neel. Who is the shortest? (a) Neel (b) Ira (c) Priya
6. 6.Each person always tells the truth or always lies. Tara says: “Saanvi and I are the same kind.” Saanvi says: “Tara and I both tell the truth.” Is Tara a truth-teller or a liar? (a) truth-teller (b) liar
7. 7.Statements: All kites are toys. No toys are keys. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
8. 8.Each person always tells the truth or always lies. Kabir says: “Omkar tells the truth.” Rohan says: “At least one of us two, Kabir or I, is a liar.” Omkar says: “Rohan and I are the same kind.” Is Kabir a truth-teller or a liar? (a) truth-teller (b) liar
9. 9.Omkar is a boy. How is Omkar’s son’s son related to Omkar? (a) son (b) nephew (c) grandson (d) brother
10. 10.Rule: If the shop is open, then Farhan buys milk. Fact: Farhan does not buy milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
11. 11.A number machine multiplies a number by 3 and then adds 4. Each output goes back in as the next input. Start with 9. What comes out after step 2?
12. 12.Isha, Ishaan and Farhan each have a bag of a different colour: white, yellow or green. Ishaan’s bag is not white. Farhan’s bag is not white. Ishaan’s bag is not yellow. Whose bag is green? (a) Isha (b) Ishaan (c) Farhan
13. 13.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: 94 13 52 34 67 85. After step 4, what is the 5th number from the left?
14. 14.Which number is the odd one out: 77, 45, 70, 98? (a) 77 (b) 45 (c) 70 (d) 98
15. 15.Five friends (Aarav, Neel, Omkar, Rohan and Siddharth) sit in a row. Left and right are as you look at them. Omkar sits next to both Neel and Siddharth. Neel does not sit at either end. Siddharth does not sit at either end. Siddharth sits just to the right of Omkar. Rohan sits somewhere to the left of Aarav. Who sits at the left end? (a) Neel (b) Rohan (c) Siddharth (d) Omkar
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 3 ÷ 9 + 16?
17. 17.On a standard dice, opposite faces add up to 7. The dice shows 4 on top. What number is on the bottom face?
18. 18.In a group of 37 children, 18 play cricket, 20 play football and 8 play both. How many play exactly one of the two?
19. 19.Rule: If the plant gets water, then the plant stays green. Fact: The plant stays green. What can you say about “The plant gets water”? (a) must be true (b) must be false (c) can't tell
20. 20.Which number is the odd one out: 3, 29, 37, 75? (a) 3 (b) 29 (c) 37 (d) 75
21. 21.Runs scored in a cricket match: Saanvi 11, Rahul 18, Siddharth 25, Manav 15, Dev 13. How many more runs does Rahul have than Dev?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 2 + 2 ÷ 7?
23. 23.Find the missing number. The same rule works in every row or in every column.
    8 | 7 | 12
    16 | 18 | ?
    24 | 25 | 18
24. 24.A number machine multiplies a number by 3 and then takes away 4. Each output goes back in as the next input. Start with 7. What comes out after step 2?
25. 25.Priya is a girl. How is Priya’s father’s sister related to Priya? (a) aunt (b) cousin (c) sister (d) mother
26. 26.Each person always tells the truth or always lies. Rohan says: “At least one of us two, Neel or I, is a liar.” Neel says: “Rohan is a liar.” Is Neel a truth-teller or a liar? (a) truth-teller (b) liar
27. 27.Find the missing number. The same rule works in every row or in every column.
    14 | 4 | 18
    6 | 7 | 13
    ? | 13 | 16
28. 28.I am a 2-digit number. My digits add up to 11. If you swap my two digits, the new number is 27 more than me. What number am I?
29. 29.Four friends (Farhan, Rahul, Riya and Tara) sit in a row. Left and right are as you look at them. Riya sits at the right end. Farhan sits next to both Tara and Riya. Who sits just to the left of Tara? (a) Riya (b) Rahul (c) Tara (d) Farhan
30. 30.Today is Sunday. What day of the week will it be 83 days from today? (a) Saturday (b) Friday (c) Sunday (d) Monday
31. 31.Aditya walks 12 m South, then turns right and walks 9 m. How far is he from the starting point now, in a straight line (in m)?
32. 32.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: 89 20 68 23 95 22. After step 2, what is the 5th number from the left?
33. 33.Each person always tells the truth or always lies. Arjun says: “Karan is a liar.” Karan says: “Arjun and I are different kinds.” Is Arjun a truth-teller or a liar? (a) truth-teller (b) liar
34. 34.Rahul, Dev and Myra each have a bag of a different colour: white, red or green. Rahul’s bag is not green. Rahul’s bag is not red. Myra’s bag is not red. What colour is Dev’s bag? (a) white (b) red (c) green
35. 35.Five friends (Aisha, Ananya, Ishaan, Manav and Riya) sit in a row. Left and right are as you look at them. Aisha sits somewhere to the left of Ananya. Riya sits somewhere to the left of Ishaan. Ishaan sits somewhere to the left of Manav. Ananya does not sit at either end. Manav sits just to the right of Ananya. Ishaan sits next to both Aisha and Ananya. Who sits at the left end? (a) Riya (b) Aisha (c) Ananya (d) Ishaan
36. 36.The sum of three consecutive numbers is 84. What is the largest of them?
37. 37.If HAND is written as FPCJ, how is SHIP written in the same code? (a) UJKR (b) NGFQ (c) PIHS (d) RKJU
38. 38.Statements: All bags are toys. No toys are rings. Conclusion: No rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
39. 39.Find the missing number. The same rule works in every row or in every column.
    2 | 19 | 21
    5 | 10 | 15
    8 | ? | 16
40. 40.Statements: No coins are rings. Some books are coins. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No

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