Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 641 · 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.Statements: All bags are pens. No bags are keys. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
2. 2.Find the missing number. The same rule works in every row or in every column.
   ? | 2 | 6
   9 | 5 | 45
   3 | 3 | 9
3. 3.If COLD is written as EMPD, how is LION written in the same code? (a) NOIL (b) MNHK (c) MJPO (d) OPJM
4. 4.Statements: Some shoes are coins. No books are shoes. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
5. 5.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) V (b) R (c) C (d) P
6. 6.On a standard dice, opposite faces add up to 7. The dice shows 2 on top. What number is on the bottom face?
7. 7.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?
8. 8.Four friends (Ishaan, Karan, Neel and Omkar) sit in a row. Left and right are as you look at them. Neel sits just to the right of Ishaan. Neel sits next to both Ishaan and Omkar. Karan sits somewhere to the left of Neel. Who sits at the right end? (a) Karan (b) Neel (c) Ishaan (d) Omkar
9. 9.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 3. What comes out after step 3?
10. 10.Find the missing number. The same rule works in every row or in every column.
    6 | 1 | 7
    5 | ? | 16
    17 | 14 | 31
11. 11.Which capital letter looks exactly the same in a mirror? (a) P (b) C (c) H (d) J
12. 12.Priya is taller than Aisha. Priya is shorter than Sneha. Who is the second shortest? (a) Aisha (b) Priya (c) Sneha
13. 13.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: 33 65 79 21 38 63. After step 3, what is the 3rd number from the left?
14. 14.In a group of 36 children, 15 play cricket, 27 play football and 11 play both. How many play only cricket?
15. 15.Books read in the summer holidays: Myra 7, Ira 14, Arjun 8, Farhan 23, Rohan 9. What is the difference between the highest and the lowest?
16. 16.Zoya is older than Nisha. Nisha is older than Riya. Who is the youngest? (a) Riya (b) Nisha (c) Zoya
17. 17.Steps climbed in a minute: Ira 43, Neel 29, Aarav 44, Ishaan 86, Pooja 31. How many more steps does Ishaan have than Ira?
18. 18.Today is Tuesday. What day of the week will it be 37 days from today? (a) Thursday (b) Wednesday (c) Friday (d) Saturday
19. 19.Each person always tells the truth or always lies. Kabir says: “Myra tells the truth.” Myra says: “Kabir and I are the same kind.” Is Kabir a truth-teller or a liar? (a) truth-teller (b) liar
20. 20.A clock shows 1:37. What time does it show in a mirror? (a) 11:23 (b) 9:23 (c) 10:23 (d) 11:37
21. 21.The sum of three consecutive numbers is 48. What is the largest of them?
22. 22.Statements: All cups are boxes. No boxes are bells. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
23. 23.Find the missing number. The same rule works in every row or in every column.
    9 | 1 | 6
    2 | 6 | 8
    9 | 2 | ?
24. 24.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav scores above 90. What can you say about “Aarav does not get a gold star”? (a) must be true (b) must be false (c) can't tell
25. 25.Books read in the summer holidays: Kabir 3, Yash 27, Aarav 26, Ananya 6, Tara 14. What is the difference between the highest and the lowest?
26. 26.Statements: No caps are books. Some bells are books. Conclusion: Some bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
27. 27.A clock shows 5:59. What time does it show in a mirror? (a) 7:59 (b) 5:01 (c) 6:01 (d) 7:01
28. 28.Aarav is a boy. How is Aarav’s mother’s brother’s son related to Aarav? (a) nephew (b) uncle (c) cousin (d) brother
29. 29.Riya is taller than Tara. Tara is taller than Pooja. Riya is shorter than Myra. Who is the second tallest? (a) Pooja (b) Tara (c) Myra (d) Riya
30. 30.Is 1998 a leap year? (a) Yes (b) No
31. 31.Runs scored in a cricket match: Aarav 6, Dev 56, Saanvi 59, Rahul 17, Kavya 51. How many children have more than 7 runs?
32. 32.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
33. 33.Each person always tells the truth or always lies. Diya says: “Ira tells the truth.” Ira says: “Farhan and I are different kinds.” Farhan says: “Ira and I are different kinds.” Is Diya a truth-teller or a liar? (a) truth-teller (b) liar
34. 34.Meera, Vivaan and Aditya each play a different game: football, chess or cricket. Vivaan does not play football. Meera does not play cricket. Aditya does not play football. Vivaan does not play cricket. Which game does Vivaan play? (a) football (b) chess (c) cricket
35. 35.Isha, Nisha and Farhan each play a different game: badminton, chess or cricket. Isha does not play badminton. Nisha does not play cricket. Farhan does not play badminton. Farhan does not play cricket. Which game does Isha play? (a) badminton (b) chess (c) cricket
36. 36.Find the missing number. The same rule works in every row or in every column.
    11 | 10 | ?
    9 | 13 | 19
    20 | 23 | 25
37. 37.In a group of 20 children, 7 play chess, 11 play carrom and 3 play both. How many play neither of the two?
38. 38.Find the missing number. The same rule works in every row or in every column.
    ? | 2 | 3
    7 | 10 | 4
    13 | 4 | 4
39. 39.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: 65 77 29 76 52 94. After step 2, what is the 5th number from the left?
40. 40.Statements: Some coins are toys. All toys are shoes. Conclusion: Some coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

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