Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 308 · 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: 36 80 68 34 87 37. After step 2, what is the 2nd number from the left?
2. 2.Statements: No shoes are books. All shoes are coins. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
3. 3.Meera, Tara and Farhan each play a different game: carrom, badminton or football. Tara does not play badminton. Meera does not play badminton. Meera does not play football. Who plays badminton? (a) Meera (b) Tara (c) Farhan
4. 4.If BOAT is written as SZNA, how is KITE written in the same code? (a) ETIK (b) DSHJ (c) FUJL (d) JHSD
5. 5.Nisha is facing East. She turns left, then turns left, then turns around (a half turn), then turns right. Which direction is she facing now? (a) North (b) East (c) South (d) West
6. 6.Aditya is a boy. How is Aditya’s father’s father’s only son related to Aditya? (a) grandfather (b) brother (c) uncle (d) father
7. 7.Statements: Some bells are rings. No toys are rings. Conclusion: No toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
8. 8.Vivaan is a boy. How is Vivaan’s father’s father’s only son related to Vivaan? (a) father (b) brother (c) uncle (d) grandfather
9. 9.Rule: If Diya wins the match, then Diya gets a medal. Fact: Diya gets a medal. What can you say about “Diya wins the match”? (a) must be true (b) must be false (c) can't tell
10. 10.Nisha is younger than Ishaan. Dev is older than Ishaan. Who is the second youngest? (a) Ishaan (b) Dev (c) Nisha
11. 11.Yash runs faster than Aarav. Aditya runs faster than Yash. Who runs the second fastest? (a) Yash (b) Aarav (c) Aditya
12. 12.In a group of 33 children, 22 play cricket, 16 play football and 11 play both. How many play at least one of the two?
13. 13.If FISH is written as ILVK, how is COLD written in the same code? (a) FROG (b) GSPH (c) EQNF (d) ZLIA
14. 14.Statements: No coins are keys. All caps are keys. Conclusion: Some coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
15. 15.In a group of 53 children, 30 play chess, 24 play carrom and 11 play both. How many play neither of the two?
16. 16.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
17. 17.Find the missing number. The same rule works in every row or in every column.
    19 | 20 | 39
    15 | 8 | 23
    18 | 20 | ?
18. 18.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan does not go to the park. What can you say about “Farhan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
19. 19.Two standard dice show 6 and 3 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
20. 20.Five friends (Ananya, Arjun, Ishaan, Omkar and Rahul) sit in a row. Left and right are as you look at them. Rahul does not sit at either end. Rahul sits just to the right of Ishaan. Omkar sits just to the right of Rahul. Rahul sits somewhere to the left of Arjun. Ananya sits just to the right of Omkar. Who sits just to the left of Arjun? (a) Ishaan (b) Omkar (c) Arjun (d) Ananya
21. 21.Find the missing number. The same rule works in every row or in every column.
    12 | 2 | 2
    14 | 1 | 1
    2 | 5 | ?
22. 22.Kavya is a girl. How is Kavya’s father’s sister’s husband related to Kavya? (a) grandfather (b) uncle (c) father (d) brother-in-law
23. 23.Each person always tells the truth or always lies. Karan says: “At least one of us two, Arjun or I, is a liar.” Arjun says: “Karan and I both tell the truth.” Neel says: “At least one of us two, Arjun or I, is a liar.” Is Karan a truth-teller or a liar? (a) truth-teller (b) liar
24. 24.If LION is written as NKQP, how is STAR written in the same code? (a) VWDU (b) QRYP (c) UVCT (d) TUBS
25. 25.Three friends (Kabir, Saanvi and Vivaan) sit in a row. Left and right are as you look at them. Vivaan sits at the left end. Kabir sits at the right end. Who sits in the middle? (a) Saanvi (b) Vivaan (c) Kabir
26. 26.Omkar walks 8 m South, then turns right and walks 13 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
27. 27.A clock shows 10:28. What time will it show 43 minutes later? (a) 11:01 (b) 12:11 (c) 11:11 (d) 11:21
28. 28.Which number is the odd one out: 67, 60, 12, 30? (a) 67 (b) 60 (c) 12 (d) 30
29. 29.Which number is the odd one out: 30, 11, 59, 61? (a) 30 (b) 11 (c) 59 (d) 61
30. 30.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
31. 31.Find the missing number. The same rule works in every row or in every column.
    7 | 6 | 7
    13 | 3 | 4
    20 | ? | 11
32. 32.Tara, Karan and Arjun each play a different game: carrom, football or cricket. Arjun does not play football. Karan does not play football. Karan does not play cricket. Which game does Karan play? (a) carrom (b) football (c) cricket
33. 33.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan does not win the match. What can you say about “Rohan does not get a medal”? (a) must be true (b) must be false (c) can't tell
34. 34.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: 12 67 43 72 85 93. After step 2, what is the 4th number from the left?
35. 35.A wooden cube is painted on all six faces, then each edge is cut into 4 equal parts, making small cubes. How many small cubes have exactly two painted faces?
36. 36.Five friends (Arjun, Dev, Neel, Rahul and Tara) sit in a row. Left and right are as you look at them. Rahul sits somewhere to the left of Arjun. Rahul sits next to both Tara and Dev. Dev sits somewhere to the left of Neel. Dev sits next to both Rahul and Arjun. Who sits at the right end? (a) Arjun (b) Neel (c) Rahul (d) Dev
37. 37.Which capital letter does NOT look the same in a mirror? (a) M (b) A (c) Z (d) H
38. 38.Rohan walks 8 m North, then turns around and walks 5 m. How far is he from the starting point now (in m)?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 14 − 2 ÷ 11?
40. 40.Statements: No keys are pens. All bells are pens. Conclusion: Some bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

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