Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 381 · 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.The sum of three consecutive numbers is 159. What is the smallest of them?
2. 2.Siddharth walks 28 m East, turns right and walks 7 m, then turns right again and walks 4 m. How far is he from the starting point now, in a straight line (in m)?
3. 3.Statements: No keys are caps. No keys are rings. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
4. 4.Meera, Aisha and Zoya each play a different game: football, badminton or carrom. Aisha does not play carrom. Aisha does not play badminton. Zoya does not play carrom. Which game does Zoya play? (a) football (b) badminton (c) carrom
5. 5.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 exactly three painted faces?
6. 6.If RAIN is written as IZRM, how is FISH written in the same code? (a) URHS (b) VSIT (c) TQGR (d) GJTI
7. 7.In a group of 30 children, 14 play chess, 19 play carrom and 7 play both. How many play at least one of the two?
8. 8.What is the smaller angle between the hour hand and the minute hand at 3:26? (in degrees) =
9. 9.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
10. 10.If DESK is written as GHVN, how is WIND written in the same code? (a) TFKA (b) ZLQG (c) AMRH (d) YKPF
11. 11.A wooden cube is painted on all six faces, then each edge is cut into 6 equal parts, making small cubes. How many small cubes have no painted face?
12. 12.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi finishes the homework. What can you say about “Saanvi goes to the park”? (a) must be true (b) must be false (c) can't tell
13. 13.Each person always tells the truth or always lies. Meera says: “Ishaan is a liar.” Ishaan says: “At least one of us two, Meera or I, is a liar.” Is Ishaan a truth-teller or a liar? (a) truth-teller (b) liar
14. 14.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is not red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
15. 15.Find the missing number. The same rule works in every row or in every column.
    4 | ? | 16
    4 | 9 | 36
    2 | 2 | 4
16. 16.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is red. What can you say about “The cars do not stop”? (a) must be true (b) must be false (c) can't tell
17. 17.Which capital letter does NOT look the same in a mirror? (a) B (b) O (c) X (d) V
18. 18.Each person always tells the truth or always lies. Nisha says: “Neel is a liar.” Siddharth says: “Nisha and I both tell the truth.” Neel says: “At least one of us two, Nisha or I, is a liar.” Is Neel a truth-teller or a liar? (a) truth-teller (b) liar
19. 19.Tara runs faster than Riya. Riya runs faster than Rahul. Zoya runs faster than Tara. Who runs the second slowest? (a) Zoya (b) Rahul (c) Riya (d) Tara
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 3 ÷ 2 × 4?
21. 21.Which capital letter looks exactly the same in a mirror? (a) F (b) Q (c) M (d) D
22. 22.In a group of 45 children, 14 play cricket, 26 play football and 10 play both. How many play neither of the two?
23. 23.Omkar walks 15 m North, then turns around and walks 12 m. How far is he from the starting point now (in m)?
24. 24.How many degrees does the minute hand of a clock turn in 19 minutes? =
25. 25.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
26. 26.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) W (b) F (c) V (d) E
27. 27.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 no painted face?
28. 28.Ishaan is taller than Siddharth. Yash is shorter than Siddharth. Who is the shortest? (a) Ishaan (b) Yash (c) Siddharth
29. 29.Each person always tells the truth or always lies. Rohan says: “Aisha and I both tell the truth.” Aisha says: “At least one of us two, Arjun or I, is a liar.” Arjun says: “Rohan is a liar.” Is Aisha a truth-teller or a liar? (a) truth-teller (b) liar
30. 30.Statements: Some shoes are pens. All shoes are bells. Conclusion: No bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
31. 31.Three friends (Karan, Meera and Rohan) sit in a row. Left and right are as you look at them. Meera sits at the right end. Karan sits at the left end. Who sits in the middle? (a) Karan (b) Rohan (c) Meera
32. 32.Which number is the odd one out: 79, 3, 17, 99? (a) 79 (b) 3 (c) 17 (d) 99
33. 33.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?
34. 34.Each person always tells the truth or always lies. Karan says: “Zoya and I are different kinds.” Zoya says: “Rohan and I are different kinds.” Rohan says: “Karan and I are different kinds.” Is Karan a truth-teller or a liar? (a) truth-teller (b) liar
35. 35.Trees planted in a week: Nisha 21, Rahul 5, Aditya 20, Ananya 30, Kavya 38. What is the total for all five children?
36. 36.A clock shows 6:40. What time does it show in a mirror? (a) 6:20 (b) 6:40 (c) 4:20 (d) 5:20
37. 37.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 6. What comes out after step 2?
38. 38.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: 57 34 91 95 22 50. After step 3, what is the 2nd number from the left?
39. 39.Which number is the odd one out: 54, 45, 27, 30? (a) 54 (b) 45 (c) 27 (d) 30
40. 40.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: 57 64 50 62 30 39. After step 4, what is the 5th number from the left?

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