Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 709 · 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.Books read in the summer holidays: Nisha 14, Neel 28, Farhan 29, Ishaan 15, Sneha 3. What is the difference between the highest and the lowest?
2. 2.Dev walks 2 m North, then turns right and walks 12 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
3. 3.What is the smaller angle between the hour hand and the minute hand at 6:42? (in degrees) =
4. 4.Rule: If Saanvi scores above 90, then Saanvi gets a gold star. Fact: Saanvi does not get a gold star. What can you say about “Saanvi does not score above 90”? (a) must be true (b) must be false (c) can't tell
5. 5.Each person always tells the truth or always lies. Aarav says: “Priya and I are different kinds.” Priya says: “Aarav and I are the same kind.” Is Aarav a truth-teller or a liar? (a) truth-teller (b) liar
6. 6.Statements: All caps are coins. No kites are coins. Conclusion: No caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
7. 7.Dev is heavier than Kavya. Ishaan is lighter than Kavya. Who is the second lightest? (a) Ishaan (b) Kavya (c) Dev
8. 8.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
9. 9.Statements: All caps are boxes. All boxes are bags. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
10. 10.Yash walks 13 m North, then turns left and walks 11 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
11. 11.How many degrees does the minute hand of a clock turn in 56 minutes? =
12. 12.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) Z (b) H (c) U (d) J
13. 13.A clock shows 3:44. What time will it show 41 minutes later? (a) 4:15 (b) 5:25 (c) 4:25 (d) 4:35
14. 14.Five friends (Aarav, Farhan, Isha, Rahul and Tara) sit in a row. Left and right are as you look at them. Farhan sits somewhere to the left of Rahul. Tara does not sit at either end. Aarav sits next to both Isha and Tara. Rahul sits at the right end. Rahul sits just to the right of Tara. Who sits at the left end? (a) Farhan (b) Rahul (c) Isha (d) Aarav
15. 15.Each person always tells the truth or always lies. Neel says: “Saanvi and I are different kinds.” Saanvi says: “Neel tells the truth.” Rohan says: “At least one of us two, Saanvi or I, is a liar.” Is Neel a truth-teller or a liar? (a) truth-teller (b) liar
16. 16.If PEN is written as KVM, how is KITE written in the same code? (a) PRGV (b) LJUF (c) OQFU (d) QSHW
17. 17.Which number is the odd one out: 18, 96, 74, 72? (a) 18 (b) 96 (c) 74 (d) 72
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 17 − 2 ÷ 7?
19. 19.Statements: No shoes are bags. All balls are bags. Conclusion: No balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
20. 20.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: 71 96 60 41 66 28. After step 3, what is the 2nd number from the left?
21. 21.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
22. 22.Kavya is a girl. How is Kavya’s father’s sister’s husband related to Kavya? (a) uncle (b) grandfather (c) father (d) brother-in-law
23. 23.What is the smaller angle between the hour hand and the minute hand at 2:54? (in degrees) =
24. 24.Omkar walks 9 km North, then turns right and walks 12 km. How far is he from the starting point now, in a straight line (in km)?
25. 25.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: 33 11 60 85 38 37. After step 4, what is the 6th number from the left?
26. 26.Each person always tells the truth or always lies. Rahul says: “Aarav is a liar.” Aarav says: “Rahul and I are the same kind.” Is Rahul a truth-teller or a liar? (a) truth-teller (b) liar
27. 27.A clock shows 3:08. What time does it show in a mirror? (a) 9:08 (b) 8:52 (c) 7:52 (d) 9:52
28. 28.Find the missing number. The same rule works in every row or in every column.
    18 | ? | 35
    18 | 18 | 36
    10 | 6 | 16
29. 29.I am a 2-digit number. My digits add up to 4 and my tens digit is 4 more than my ones digit. What number am I?
30. 30.Four friends (Arjun, Dev, Ira and Rahul) sit in a row. Left and right are as you look at them. Rahul sits somewhere to the left of Dev. Dev does not sit at either end. Dev sits just to the right of Arjun. Who sits at the right end? (a) Dev (b) Ira (c) Rahul (d) Arjun
31. 31.Statements: No toys are pens. All toys are keys. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
32. 32.Find the missing number. The same rule works in every row or in every column.
    20 | ? | 24
    17 | 3 | 20
    17 | 10 | 27
33. 33.Three friends (Aditya, Farhan and Pooja) sit in a row. Left and right are as you look at them. Aditya sits just to the right of Farhan. Pooja sits somewhere to the left of Aditya. Who sits in the middle? (a) Aditya (b) Pooja (c) Farhan
34. 34.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
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 10 − 15 ÷ 10?
36. 36.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have exactly one painted face?
37. 37.Statements: No balls are rings. No rings are bags. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
38. 38.Nisha, Ananya and Priya each play a different game: cricket, carrom or badminton. Nisha does not play badminton. Ananya does not play carrom. Priya does not play badminton. Priya does not play carrom. Who plays badminton? (a) Nisha (b) Ananya (c) Priya
39. 39.Dev is younger than Rohan. Ishaan is older than Rohan. Kabir is younger than Dev. Who is the second youngest? (a) Ishaan (b) Dev (c) Kabir (d) Rohan
40. 40.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) X (b) N (c) Y (d) F

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