Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 248 · 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 PEN is written as NEP, how is FISH written in the same code? (a) GRHE (b) HSIF (c) GJTI (d) ITJG
2. 2.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
3. 3.Which capital letter looks exactly the same in a mirror? (a) J (b) E (c) O (d) G
4. 4.Statements: Some boxes are cups. No cups are keys. Conclusion: No keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
5. 5.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant does not stay green”? (a) must be true (b) must be false (c) can't tell
6. 6.Five friends (Aditya, Dev, Manav, Nisha and Vivaan) sit in a row. Left and right are as you look at them. Vivaan sits somewhere to the left of Nisha. Manav does not sit at either end. Dev sits next to both Vivaan and Manav. Nisha sits at the right end. Vivaan does not sit at either end. Vivaan sits next to both Aditya and Dev. Who sits just to the left of Manav? (a) Manav (b) Dev (c) Nisha (d) Aditya
7. 7.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
8. 8.Rule: If the shop is open, then Vivaan buys milk. Fact: Vivaan buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
9. 9.A clock shows 1:42. What time does it show in a mirror? (a) 10:18 (b) 11:42 (c) 9:18 (d) 11:18
10. 10.Yash is a boy. How is Yash’s son’s son related to Yash? (a) grandson (b) son (c) brother (d) nephew
11. 11.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 5. What comes out after step 2?
12. 12.Farhan, Ishaan and Dev each play a different game: carrom, football or cricket. Farhan does not play cricket. Dev does not play carrom. Dev does not play football. Ishaan does not play football. Which game does Dev play? (a) carrom (b) football (c) cricket
13. 13.Each person always tells the truth or always lies. Rahul says: “Meera is a liar.” Meera says: “Rahul and I are the same kind.” Is Rahul a truth-teller or a liar? (a) truth-teller (b) liar
14. 14.Each person always tells the truth or always lies. Myra says: “Rohan and I are the same kind.” Rohan says: “Rahul and I are the same kind.” Rahul says: “Myra and I are the same kind.” Is Rohan a truth-teller or a liar? (a) truth-teller (b) liar
15. 15.In a group of 32 children, 15 play cricket, 24 play football and 9 play both. How many play at least one of the two?
16. 16.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: 21 65 15 18 96 32. After step 2, what is the 1st number from the left?
17. 17.Find the missing number. The same rule works in every row or in every column.
    8 | 13 | 21
    19 | 3 | ?
    9 | 20 | 29
18. 18.If DOG is written as FNC, how is KITE written in the same code? (a) ETIK (b) DSHJ (c) FUJL (d) JHSD
19. 19.1 January 2002 is a Tuesday. What day of the week is 12 April 2002? (a) Friday (b) Thursday (c) Saturday (d) Sunday
20. 20.1 January 2022 is a Saturday. What day of the week is 4 December 2022? (a) Tuesday (b) Monday (c) Saturday (d) Sunday
21. 21.Each person always tells the truth or always lies. Tara says: “Isha and I are the same kind.” Isha says: “Tara and I both tell the truth.” Is Tara a truth-teller or a liar? (a) truth-teller (b) liar
22. 22.Each person always tells the truth or always lies. Aarav says: “Karan is a liar.” Myra says: “Karan and I both tell the truth.” Karan says: “Aarav and I are the same kind.” Is Karan a truth-teller or a liar? (a) truth-teller (b) liar
23. 23.Which number is the odd one out: 20, 89, 17, 53? (a) 20 (b) 89 (c) 17 (d) 53
24. 24.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 7. What comes out after step 3?
25. 25.Each person always tells the truth or always lies. Aisha says: “Manav and I both tell the truth.” Manav says: “Aisha is a liar.” Is Manav a truth-teller or a liar? (a) truth-teller (b) liar
26. 26.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
27. 27.Each person always tells the truth or always lies. Ishaan says: “Yash tells the truth.” Yash says: “Ishaan and I are the same kind.” Is Yash a truth-teller or a liar? (a) truth-teller (b) liar
28. 28.Diya, Ira and Neel each have a different pet: cat, dog or parrot. Ira does not have the dog. Neel does not have the parrot. Neel does not have the cat. Ira does not have the cat. Which pet does Diya have? (a) cat (b) dog (c) parrot
29. 29.Sneha is a girl. How is Sneha’s brother’s wife related to Sneha? (a) sister-in-law (b) sister (c) cousin (d) aunt
30. 30.Yash is a boy. How is Yash’s sister’s daughter related to Yash? (a) sister (b) daughter (c) aunt (d) niece
31. 31.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
32. 32.I am a 2-digit number. My digits add up to 13 and my tens digit is 5 more than my ones digit. What number am I?
33. 33.Marks in a maths test (out of 50): Aarav 34, Dev 33, Isha 49, Aditya 29, Priya 15. How many children have more than 30 marks?
34. 34.In a group of 19 children, 11 play cricket, 10 play football and 3 play both. How many play only cricket?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 20 + 14 × 7?
36. 36.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    7 | 8 | 3
    ? | 6 | 10
    9 | 4 | 5
37. 37.Each person always tells the truth or always lies. Kabir says: “Kavya and I both tell the truth.” Vivaan says: “Kabir and I are the same kind.” Kavya says: “Vivaan and I are different kinds.” Is Kabir a truth-teller or a liar? (a) truth-teller (b) liar
38. 38.In a group of 61 children, 26 like mangoes, 31 like bananas and 11 like both. How many like exactly one of the two?
39. 39.Which capital letter does NOT look the same in a mirror? (a) U (b) H (c) D (d) Y
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: 31 48 65 20 56 45. After step 4, what is the 6th number from the left?

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