Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 378 · 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.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: 61 45 25 77 76 34. After step 4, what is the 5th number from the left?
2. 2.Each person always tells the truth or always lies. Rohan says: “Ishaan and I are different kinds.” Ishaan says: “Rohan is a liar.” Is Ishaan a truth-teller or a liar? (a) truth-teller (b) liar
3. 3.Ira walks 8 m West, turns right and walks 8 m, then turns right again and walks 2 m. How far is she from the starting point now, in a straight line (in m)?
4. 4.Statements: Some pens are boxes. No boxes are books. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
5. 5.Karan runs faster than Dev. Arjun runs faster than Karan. Who runs the second fastest? (a) Arjun (b) Karan (c) Dev
6. 6.Aditya walks 14 m North, turns left and walks 16 m, then turns left again and walks 2 m. How far is he from the starting point now, in a straight line (in m)?
7. 7.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is not red”? (a) must be true (b) must be false (c) can't tell
8. 8.Three friends (Isha, Kabir and Saanvi) sit in a row. Left and right are as you look at them. Isha sits just to the right of Kabir. Saanvi sits somewhere to the left of Isha. Who sits in the middle? (a) Kabir (b) Saanvi (c) Isha
9. 9.In a group of 50 children, 16 play chess, 26 play carrom and 6 play both. How many play neither of the two?
10. 10.Which number is the odd one out: 61, 71, 87, 97? (a) 61 (b) 71 (c) 87 (d) 97
11. 11.Five friends (Dev, Kabir, Kavya, Siddharth and Vivaan) sit in a row. Left and right are as you look at them. Vivaan sits at the right end. Vivaan sits just to the right of Siddharth. Siddharth sits next to both Kabir and Vivaan. Kabir sits next to both Kavya and Siddharth. Who sits just to the right of Dev? (a) Kabir (b) Dev (c) Siddharth (d) Kavya
12. 12.Each person always tells the truth or always lies. Kabir says: “At least one of us two, Meera or I, is a liar.” Meera says: “Kabir and I are the same kind.” Is Kabir a truth-teller or a liar? (a) truth-teller (b) liar
13. 13.Find the missing number. The same rule works in every row or in every column.
    2 | ? | 17
    6 | 1 | 7
    19 | 9 | 28
14. 14.If FROG is written as DPME, how is LAMP written in the same code? (a) JYKN (b) IXJM (c) NCOR (d) KZLO
15. 15.A clock shows 6:15. What time will it show 146 minutes later? (a) 8:41 (b) 9:41 (c) 8:51 (d) 8:31
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 13 − 5 ÷ 17?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 20 + 10 − 17 × 19?
18. 18.Is 1800 a leap year? (a) Yes (b) No
19. 19.Meera, Manav and Priya each have a bag of a different colour: white, yellow or blue. Priya’s bag is not yellow. Manav’s bag is not blue. Meera’s bag is not blue. Meera’s bag is not yellow. Whose bag is white? (a) Meera (b) Manav (c) Priya
20. 20.Which capital letter looks exactly the same in a mirror? (a) I (b) N (c) G (d) Z
21. 21.Which number is the odd one out: 64, 8, 16, 43? (a) 64 (b) 8 (c) 16 (d) 43
22. 22.Farhan walks 24 km West, then turns left and walks 7 km. How far is he from the starting point now, in a straight line (in km)?
23. 23.Statements: All rings are balls. All rings are keys. Conclusion: Some balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 13 ÷ 18 × 10?
25. 25.Zoya is a girl. How is Zoya’s mother’s brother related to Zoya? (a) cousin (b) brother (c) grandfather (d) uncle
26. 26.Each person always tells the truth or always lies. Vivaan says: “Diya tells the truth.” Ishaan says: “Vivaan and I both tell the truth.” Diya says: “At least one of us two, Ishaan or I, is a liar.” Is Ishaan a truth-teller or a liar? (a) truth-teller (b) liar
27. 27.Which number is the odd one out: 36, 11, 53, 37? (a) 36 (b) 11 (c) 53 (d) 37
28. 28.Two standard dice show 6 and 6 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
29. 29.A clock shows 12:50. What time will it show 13 minutes later? (a) 2:03 (b) 1:13 (c) 12:53 (d) 1:03
30. 30.Two standard dice show 5 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
31. 31.Which capital letter looks exactly the same in a mirror? (a) O (b) D (c) F (d) E
32. 32.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: 27 86 52 61 17 54. After step 3, what is the 5th number from the left?
33. 33.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have no painted face?
34. 34.Riya, Tara and Farhan each have a different pet: cat, parrot or dog. Farhan does not have the dog. Riya does not have the cat. Farhan does not have the parrot. Tara does not have the parrot. Who has the dog? (a) Riya (b) Tara (c) Farhan
35. 35.A clock shows 7:48. What time does it show in a mirror? (a) 4:12 (b) 5:12 (c) 3:12 (d) 5:48
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 12 − 5 + 6?
37. 37.Rule: If Priya scores above 90, then Priya gets a gold star. Fact: Priya does not score above 90. What can you say about “Priya gets a gold star”? (a) must be true (b) must be false (c) can't tell
38. 38.Find the missing number. The same rule works in every row or in every column.
    20 | 15 | 11
    1 | 7 | ?
    21 | 22 | 31
39. 39.Meera is taller than Karan. Kavya is taller than Meera. Who is the tallest? (a) Kavya (b) Karan (c) Meera
40. 40.Each person always tells the truth or always lies. Ira says: “Tara tells the truth.” Tara says: “Neel and I are different kinds.” Neel says: “Tara and I are the same kind.” Is Neel a truth-teller or a liar? (a) truth-teller (b) liar

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