Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 445 · 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. 1.28 March is a Saturday. What day of the week is 28 April of the same year? (a) Wednesday (b) Tuesday (c) Monday (d) Thursday
2. 2.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have exactly two painted faces?
3. 3.Dev is a boy. How is Dev’s son’s wife related to Dev? (a) daughter (b) daughter-in-law (c) sister-in-law (d) niece
4. 4.Kabir walks 12 m West, turns right and walks 12 m, then turns right again and walks 3 m. How far is he from the starting point now, in a straight line (in m)?
5. 5.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
6. 6.Which number is the odd one out: 35, 90, 99, 66? (a) 35 (b) 90 (c) 99 (d) 66
7. 7.I am a 2-digit number. My digits add up to 13. If you swap my two digits, the new number is 9 more than me. What number am I?
8. 8.Rule: If Siddharth wins the match, then Siddharth gets a medal. Fact: Siddharth does not get a medal. What can you say about “Siddharth does not win the match”? (a) must be true (b) must be false (c) can't tell
9. 9.A wooden cube is painted on all six faces, then each edge is cut into 5 equal parts, making small cubes. How many small cubes have exactly two painted faces?
10. 10.Five friends (Arjun, Karan, Kavya, Rahul and Yash) sit in a row. Left and right are as you look at them. Rahul sits somewhere to the left of Yash. Yash sits just to the right of Kavya. Karan sits just to the right of Yash. Arjun sits somewhere to the left of Karan. Kavya sits next to both Rahul and Yash. Who sits in the middle? (a) Yash (b) Kavya (c) Arjun (d) Rahul
11. 11.Rule: If the bell rings, then the class starts. Fact: The class starts. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
12. 12.Each person always tells the truth or always lies. Riya says: “Vivaan and I both tell the truth.” Isha says: “Riya tells the truth.” Vivaan says: “At least one of us two, Isha or I, is a liar.” Is Riya a truth-teller or a liar? (a) truth-teller (b) liar
13. 13.Isha, Arjun and Myra each have a bag of a different colour: blue, red or green. Myra’s bag is not blue. Arjun’s bag is not red. Isha’s bag is not red. Isha’s bag is not green. What colour is Isha’s bag? (a) blue (b) red (c) green
14. 14.Books read in the summer holidays: Ira 25, Farhan 8, Kabir 24, Aditya 30, Dev 21. How many more books does Aditya have than Kabir?
15. 15.Statements: No coins are books. Some bags are coins. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
16. 16.If PARK is written as JQZO, how is FISH written in the same code? (a) ITJG (b) HSIF (c) EHRG (d) GRHE
17. 17.18 May is a Sunday. What day of the week is 18 June of the same year? (a) Wednesday (b) Tuesday (c) Friday (d) Thursday
18. 18.How many degrees does the hour hand of a clock turn in 95 minutes? =
19. 19.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: 23 92 34 63 88 47. After step 2, what is the 3rd number from the left?
20. 20.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya finishes the homework. What can you say about “Priya does not go to the park”? (a) must be true (b) must be false (c) can't tell
21. 21.Rule: If Kabir finishes the homework, then Kabir goes to the park. Fact: Kabir finishes the homework. What can you say about “Kabir does not go to the park”? (a) must be true (b) must be false (c) can't tell
22. 22.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 2. What comes out after step 3?
23. 23.Priya walks 9 m South, then turns right and walks 12 m. How far is she from the starting point now, in a straight line (in m)?
24. 24.Which number is the odd one out: 47, 6, 59, 89? (a) 47 (b) 6 (c) 59 (d) 89
25. 25.Sneha is a girl. How is Sneha’s son’s wife related to Sneha? (a) daughter (b) sister-in-law (c) niece (d) daughter-in-law
26. 26.Runs scored in a cricket match: Omkar 5, Myra 24, Ishaan 18, Siddharth 22, Rohan 56. Who has the most runs? (a) Ishaan (b) Omkar (c) Rohan (d) Siddharth
27. 27.If FISH is written as GRHE, how is BOOK written in the same code? (a) KOOB (b) ANNJ (c) LPPC (d) JNNA
28. 28.Omkar walks 13 m North, then turns left and walks 14 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
29. 29.Each person always tells the truth or always lies. Myra says: “Isha and I are the same kind.” Isha says: “At least one of us two, Myra or I, is a liar.” Sneha says: “Myra tells the truth.” Is Isha a truth-teller or a liar? (a) truth-teller (b) liar
30. 30.If FISH is written as HSIF, how is MILK written in the same code? (a) NJML (b) KLIM (c) LMJN (d) JKHL
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 18 − 16 × 16?
32. 32.Rohan is lighter than Aisha. Rohan is heavier than Ananya. Who is the second lightest? (a) Rohan (b) Ananya (c) Aisha
33. 33.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: 82 25 46 80 10 62. After step 3, what is the 5th number from the left?
34. 34.Each person always tells the truth or always lies. Aarav says: “Kabir and I are the same kind.” Kabir says: “Aarav and I both tell the truth.” Is Aarav a truth-teller or a liar? (a) truth-teller (b) liar
35. 35.Vivaan is a boy. How is Vivaan’s son’s son related to Vivaan? (a) grandson (b) brother (c) son (d) nephew
36. 36.Which capital letter looks exactly the same in a mirror? (a) F (b) W (c) Q (d) J
37. 37.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: 15 85 86 83 63 70. After step 2, what is the 1st number from the left?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 6 ÷ 6 − 2?
39. 39.Each person always tells the truth or always lies. Kavya says: “Farhan and I are the same kind.” Farhan says: “Kavya tells the truth.” Is Farhan a truth-teller or a liar? (a) truth-teller (b) liar
40. 40.Statements: All pens are cups. All pens are balls. Conclusion: No cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No

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