Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 174 · 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.Each person always tells the truth or always lies. Arjun says: “At least one of us two, Aisha or I, is a liar.” Aisha says: “Neel and I are different kinds.” Neel says: “Arjun is a liar.” Is Arjun a truth-teller or a liar? (a) truth-teller (b) liar
2. 2.Which capital letter looks exactly the same in a mirror? (a) H (b) C (c) J (d) D
3. 3.Myra runs slower than Farhan. Vivaan runs faster than Farhan. Who runs the second fastest? (a) Farhan (b) Myra (c) Vivaan
4. 4.Aarav is a boy. How is Aarav’s mother’s father related to Aarav? (a) grandfather (b) grandson (c) father (d) uncle
5. 5.Each person always tells the truth or always lies. Ishaan says: “Tara and I are different kinds.” Tara says: “Ishaan and I are different kinds.” Aditya says: “Tara and I both tell the truth.” Is Ishaan a truth-teller or a liar? (a) truth-teller (b) liar
6. 6.If CAKE is written as EKAC, how is SHIP written in the same code? (a) QJIT (b) OHGR (c) TIJQ (d) PIHS
7. 7.Nisha is a girl. How is Nisha’s brother’s wife related to Nisha? (a) cousin (b) aunt (c) sister-in-law (d) sister
8. 8.Find the missing number. The same rule works in every row or in every column.
   8 | 5 | ?
   2 | 3 | 6
   7 | 2 | 14
9. 9.Which number is the odd one out: 94, 53, 23, 47? (a) 94 (b) 53 (c) 23 (d) 47
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 9 × 18 + 3?
11. 11.Rule: If Kavya finishes the homework, then Kavya goes to the park. Fact: Kavya does not finish the homework. What can you say about “Kavya goes to the park”? (a) must be true (b) must be false (c) can't tell
12. 12.In a group of 28 children, 13 enjoy drawing, 16 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
13. 13.Zoya is lighter than Myra. Arjun is lighter than Zoya. Siddharth is heavier than Myra. Who is the second heaviest? (a) Myra (b) Arjun (c) Zoya (d) Siddharth
14. 14.Which number is the odd one out: 37, 83, 76, 71? (a) 37 (b) 83 (c) 76 (d) 71
15. 15.Isha, Aisha and Aarav each play a different game: carrom, football or chess. Aisha does not play football. Isha does not play football. Isha does not play carrom. Which game does Aisha play? (a) carrom (b) football (c) chess
16. 16.Which number is the odd one out: 88, 17, 76, 8? (a) 88 (b) 17 (c) 76 (d) 8
17. 17.Two standard dice show 1 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
18. 18.Is 2100 a leap year? (a) Yes (b) No
19. 19.Steps climbed in a minute: Aisha 58, Aarav 27, Ira 69, Diya 24, Kavya 42. How many more steps does Aisha have than Aarav?
20. 20.Statements: Some shoes are cups. Some bags are cups. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
21. 21.Neel is shorter than Siddharth. Diya is taller than Vivaan. Vivaan is taller than Siddharth. Who is the second tallest? (a) Siddharth (b) Diya (c) Neel (d) Vivaan
22. 22.In a group of 31 children, 11 play cricket, 12 play football and 5 play both. How many play exactly one of the two?
23. 23.If DRUM is written as BPSK, how is STAR written in the same code? (a) QRYP (b) RSZQ (c) UVCT (d) PQXO
24. 24.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: 50 22 45 82 43 24. After step 4, what is the 4th number from the left?
25. 25.1 January 2009 is a Thursday. What day of the week is 14 April 2009? (a) Tuesday (b) Thursday (c) Monday (d) Wednesday
26. 26.In a group of 25 children, 8 play chess, 12 play carrom and 3 play both. How many play only carrom?
27. 27.Meera walks 11 m East, then turns left and walks 13 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
28. 28.A number machine multiplies a number by 2 and then takes away 2. Each output goes back in as the next input. Start with 9. What comes out after step 2?
29. 29.Two standard dice show 6 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
30. 30.In a group of 43 children, 31 play cricket, 22 play football and 12 play both. How many play only football?
31. 31.Four friends (Kavya, Manav, Priya and Siddharth) sit in a row. Left and right are as you look at them. Kavya sits somewhere to the left of Manav. Priya sits next to both Kavya and Siddharth. Siddharth does not sit at either end. Who sits at the left end? (a) Manav (b) Siddharth (c) Priya (d) Kavya
32. 32.Karan, Aditya and Yash each have a bag of a different colour: blue, red or white. Aditya’s bag is not blue. Yash’s bag is not red. Karan’s bag is not blue. Aditya’s bag is not red. What colour is Aditya’s bag? (a) blue (b) red (c) white
33. 33.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: 11 72 18 25 76 29. After step 3, what is the 1st number from the left?
34. 34.Aditya is facing West. He turns right, then turns right, then turns left, then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
35. 35.I am a 2-digit number. My digits add up to 3 and my tens digit is 1 more than my ones digit. What number am I?
36. 36.In a group of 44 children, 17 enjoy drawing, 25 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
37. 37.A number machine multiplies a number by 2 and then takes away 2. Each output goes back in as the next input. Start with 3. What comes out after step 2?
38. 38.Dev is lighter than Priya. Manav is lighter than Rahul. Rahul is lighter than Dev. Who is the heaviest? (a) Dev (b) Priya (c) Rahul (d) Manav
39. 39.Four friends (Ananya, Farhan, Myra and Siddharth) sit in a row. Left and right are as you look at them. Farhan does not sit at either end. Myra sits just to the right of Farhan. Ananya sits somewhere to the left of Myra. Farhan sits just to the right of Ananya. Siddharth sits somewhere to the left of Farhan. Who sits just to the left of Ananya? (a) Siddharth (b) Ananya (c) Farhan (d) Myra
40. 40.I am a 2-digit number. My digits add up to 10 and my tens digit is 8 more than my ones digit. What number am I?

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