Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 983 · 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.Statements: All books are keys. Some books are boxes. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
2. 2.Kavya, Aisha and Vivaan each have a bag of a different colour: red, yellow or blue. Vivaan’s bag is not red. Vivaan’s bag is not blue. Kavya’s bag is not red. Whose bag is blue? (a) Kavya (b) Aisha (c) Vivaan
3. 3.If GOLD is written as DLOG, how is CAKE written in the same code? (a) DBLF (b) FLBD (c) DJZB (d) EKAC
4. 4.Which number is the odd one out: 53, 89, 12, 97? (a) 53 (b) 89 (c) 12 (d) 97
5. 5.Ananya, Aarav and Arjun each have a different pet: tortoise, parrot or dog. Ananya does not have the tortoise. Ananya does not have the dog. Aarav does not have the tortoise. Which pet does Arjun have? (a) tortoise (b) parrot (c) dog
6. 6.Which number is the odd one out: 87, 11, 79, 73? (a) 87 (b) 11 (c) 79 (d) 73
7. 7.A clock shows 8:46. What time will it show 162 minutes later? (a) 11:38 (b) 11:18 (c) 12:28 (d) 11:28
8. 8.Statements: Some bags are books. All books are caps. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
9. 9.A machine arranges numbers step by step. In each step it takes the biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 67 19 31 84 13 88. After step 4, what is the 2nd number from the left?
10. 10.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya goes to the park. What can you say about “Priya finishes the homework”? (a) must be true (b) must be false (c) can't tell
11. 11.A clock shows 4:57. What time does it show in a mirror? (a) 7:03 (b) 8:03 (c) 6:03 (d) 8:57
12. 12.Four friends (Aisha, Ishaan, Rohan and Yash) sit in a row. Left and right are as you look at them. Ishaan does not sit at either end. Aisha sits next to both Yash and Ishaan. Rohan sits just to the right of Ishaan. Who sits at the left end? (a) Rohan (b) Ishaan (c) Yash (d) Aisha
13. 13.If DOG is written as GRJ, how is STAR written in the same code? (a) WXEV (b) PQXO (c) UVCT (d) VWDU
14. 14.Which number is the odd one out: 15, 81, 27, 9? (a) 15 (b) 81 (c) 27 (d) 9
15. 15.Priya is a girl. How is Priya’s son’s son related to Priya? (a) nephew (b) brother (c) son (d) grandson
16. 16.In a group of 20 grown-ups, 13 drink tea, 7 drink coffee and 4 drink both. How many drink neither of the two?
17. 17.Five friends (Dev, Ira, Karan, Meera and Rahul) sit in a row. Left and right are as you look at them. Meera sits just to the right of Rahul. Rahul sits somewhere to the left of Dev. Dev does not sit at either end. Ira does not sit at either end. Karan sits just to the right of Dev. Who sits in the middle? (a) Ira (b) Dev (c) Meera (d) Rahul
18. 18.Statements: Some caps are balls. All balls are keys. Conclusion: No caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
19. 19.Neel walks 18 m North, turns right and walks 5 m, then turns right again and walks 6 m. How far is he from the starting point now, in a straight line (in m)?
20. 20.Each person always tells the truth or always lies. Aditya says: “Rohan and I are different kinds.” Rohan says: “Aditya and I are the same kind.” Riya says: “Aditya tells the truth.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
21. 21.Neel is younger than Saanvi. Neel is older than Meera. Who is the oldest? (a) Neel (b) Saanvi (c) Meera
22. 22.Kabir, Yash and Farhan each have a bag of a different colour: white, yellow or green. Farhan’s bag is not green. Yash’s bag is not yellow. Farhan’s bag is not white. Kabir’s bag is not white. What colour is Kabir’s bag? (a) white (b) yellow (c) green
23. 23.Runs scored in a cricket match: Isha 25, Priya 60, Ira 16, Sneha 21, Ishaan 23. Who has the fewest runs? (a) Ishaan (b) Priya (c) Ira (d) Isha
24. 24.A machine arranges numbers step by step. In each step it takes the biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 78 71 96 87 42 69. After step 2, what is the 5th number from the left?
25. 25.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 at least one painted face?
26. 26.Two standard dice show 6 and 4 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
27. 27.In a group of 21 children, 10 enjoy drawing, 9 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
28. 28.How many degrees does the hour hand of a clock turn in 43 minutes? =
29. 29.If PEN is written as QFO, how is FISH written in the same code? (a) ITJG (b) HKUJ (c) GJTI (d) EHRG
30. 30.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
31. 31.Each person always tells the truth or always lies. Kavya says: “At least one of us two, Myra or I, is a liar.” Myra says: “Kavya and I are the same kind.” Is Kavya a truth-teller or a liar? (a) truth-teller (b) liar
32. 32.I am a 2-digit number. My digits add up to 11 and my tens digit is 1 more than my ones digit. What number am I?
33. 33.Statements: All balls are boxes. All books are balls. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
34. 34.What is the smaller angle between the hour hand and the minute hand at 9:37? (in degrees) =
35. 35.Each person always tells the truth or always lies. Ishaan says: “At least one of us two, Riya or I, is a liar.” Riya says: “Ishaan is a liar.” Is Ishaan a truth-teller or a liar? (a) truth-teller (b) liar
36. 36.Five friends (Ananya, Ira, Ishaan, Tara and Yash) sit in a row. Left and right are as you look at them. Yash sits somewhere to the left of Tara. Ira sits at the left end. Ishaan sits somewhere to the left of Tara. Ishaan sits somewhere to the left of Ananya. Ananya sits just to the right of Yash. Who sits just to the right of Ishaan? (a) Tara (b) Yash (c) Ira (d) Ishaan
37. 37.Five friends (Aisha, Ira, Myra, Priya and Zoya) sit in a row. Left and right are as you look at them. Ira sits next to both Priya and Zoya. Ira sits just to the right of Priya. Priya sits somewhere to the left of Myra. Aisha does not sit at either end. Who sits at the left end? (a) Ira (b) Priya (c) Zoya (d) Aisha
38. 38.Which number is the odd one out: 2, 24, 68, 48? (a) 2 (b) 24 (c) 68 (d) 48
39. 39.Which number is the odd one out: 30, 93, 11, 97? (a) 30 (b) 93 (c) 11 (d) 97
40. 40.On a standard dice, opposite faces add up to 7. The dice shows 6 on top. What number is on the bottom face?

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