Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 989 · 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.If DRUM is written as BPSK, how is PEN written in the same code? (a) ODM (b) RGP (c) NCL (d) MBK
2. 2.Each person always tells the truth or always lies. Farhan says: “At least one of us two, Ira or I, is a liar.” Ira says: “Farhan and I are the same kind.” Is Farhan a truth-teller or a liar? (a) truth-teller (b) liar
3. 3.Kabir is taller than Aarav. Aarav is taller than Farhan. Nisha is taller than Kabir. Who is the shortest? (a) Farhan (b) Aarav (c) Nisha (d) Kabir
4. 4.A clock shows 7:43. What time does it show in a mirror? (a) 5:43 (b) 4:17 (c) 3:17 (d) 5:17
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 14 × 6 ÷ 17?
6. 6.A number machine multiplies a number by 2 and then takes away 5. Each output goes back in as the next input. Start with 7. What comes out after step 2?
7. 7.Four friends (Aditya, Ananya, Ishaan and Nisha) sit in a row. Left and right are as you look at them. Aditya does not sit at either end. Ananya does not sit at either end. Nisha sits somewhere to the left of Ananya. Aditya sits just to the right of Nisha. Who sits at the left end? (a) Ishaan (b) Nisha (c) Aditya (d) Ananya
8. 8.Manav walks 4 m North, then turns left and walks 3 m. How far is he from the starting point now, in a straight line (in m)?
9. 9.Farhan is shorter than Aarav. Karan is taller than Aarav. Who is the tallest? (a) Karan (b) Farhan (c) Aarav
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 10 − 14 × 14?
11. 11.Which capital letter does NOT look the same in a mirror? (a) W (b) M (c) J (d) X
12. 12.I am a 2-digit number. My digits add up to 3. If you swap my two digits, the new number is 9 more than me. What number am I?
13. 13.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
14. 14.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: 64 19 33 29 11 75. After step 4, what is the 4th number from the left?
15. 15.Four friends (Farhan, Karan, Neel and Riya) sit in a row. Left and right are as you look at them. Riya sits just to the right of Farhan. Riya sits somewhere to the left of Neel. Farhan sits somewhere to the left of Karan. Riya sits next to both Farhan and Karan. Who sits at the right end? (a) Riya (b) Neel (c) Farhan (d) Karan
16. 16.In a group of 20 children, 6 play chess, 10 play carrom and 3 play both. How many play neither of the two?
17. 17.Kavya walks 26 m East, then turns around and walks 4 m. How far is she from the starting point now (in m)?
18. 18.Each person always tells the truth or always lies. Aarav says: “Arjun is a liar.” Arjun says: “Karan and I are different kinds.” Karan says: “Arjun is a liar.” Is Aarav a truth-teller or a liar? (a) truth-teller (b) liar
19. 19.Meera is shorter than Saanvi. Saanvi is shorter than Aarav. Who is the second tallest? (a) Meera (b) Aarav (c) Saanvi
20. 20.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
21. 21.Each person always tells the truth or always lies. Aarav says: “At least one of us two, Sneha or I, is a liar.” Sneha says: “Aarav and I are the same kind.” Is Sneha a truth-teller or a liar? (a) truth-teller (b) liar
22. 22.In a group of 28 children, 11 play cricket, 21 play football and 5 play both. How many play only football?
23. 23.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 20 − 19 × 10?
25. 25.Which number is the odd one out: 16, 47, 97, 11? (a) 16 (b) 47 (c) 97 (d) 11
26. 26.Rule: If Siddharth wins the match, then Siddharth gets a medal. Fact: Siddharth does not win the match. What can you say about “Siddharth gets a medal”? (a) must be true (b) must be false (c) can't tell
27. 27.Find the missing number. The same rule works in every row or in every column.
    ? | 2 | 9
    3 | 15 | 13
    11 | 17 | 22
28. 28.Find the missing number. The same rule works in every row or in every column.
    14 | ? | 19
    20 | 20 | 7
    34 | 30 | 26
29. 29.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: 25 29 38 48 17 37. After step 4, what is the 5th number from the left?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 9 ÷ 8 + 4?
31. 31.Statements: No boxes are bells. Some bells are rings. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
32. 32.Books read in the summer holidays: Sneha 8, Dev 13, Pooja 9, Rahul 26, Aarav 22. How many more books does Dev have than Pooja?
33. 33.Each person always tells the truth or always lies. Karan says: “Dev tells the truth.” Dev says: “At least one of us two, Aarav or I, is a liar.” Aarav says: “Karan is a liar.” Is Dev a truth-teller or a liar? (a) truth-teller (b) liar
34. 34.A number machine multiplies a number by 3 and then takes away 4. Each output goes back in as the next input. Start with 9. What comes out after step 3?
35. 35.Find the missing number. The same rule works in every row or in every column.
    4 | 5 | 20
    5 | ? | 30
    2 | 9 | 18
36. 36.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
37. 37.I am a 2-digit number. My digits add up to 15. If you swap my two digits, the new number is 9 more than me. What number am I?
38. 38.In a group of 40 children, 20 play chess, 19 play carrom and 3 play both. How many play only chess?
39. 39.Which number is the odd one out: 60, 41, 13, 59? (a) 60 (b) 41 (c) 13 (d) 59
40. 40.Zoya walks 30 m West, then turns around and walks 21 m. How far is she from the starting point now (in m)?

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