Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 162 · 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.Which number is the odd one out: 23, 64, 44, 16? (a) 23 (b) 64 (c) 44 (d) 16
2. 2.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 7. What comes out after step 3?
3. 3.A wooden cube is painted on all six faces, then each edge is cut into 6 equal parts, making small cubes. How many small cubes have exactly one painted face?
4. 4.Find the missing number. The same rule works in every row or in every column.
   3 | 8 | 24
   9 | 3 | 27
   7 | ? | 14
5. 5.Which number is the odd one out: 6, 2, 73, 79? (a) 6 (b) 2 (c) 73 (d) 79
6. 6.Statements: No kites are boxes. All rings are kites. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 8 − 2 × 16?
8. 8.Books read in the summer holidays: Meera 21, Priya 9, Ira 30, Aarav 26, Ishaan 10. What is the difference between the highest and the lowest?
9. 9.Each person always tells the truth or always lies. Kabir says: “At least one of us two, Yash or I, is a liar.” Yash says: “Kabir and I both tell the truth.” Is Yash a truth-teller or a liar? (a) truth-teller (b) liar
10. 10.Each person always tells the truth or always lies. Yash says: “Riya is a liar.” Riya says: “Kavya tells the truth.” Kavya says: “Riya and I are the same kind.” Is Yash a truth-teller or a liar? (a) truth-teller (b) liar
11. 11.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
12. 12.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) Q (b) H (c) M (d) P
13. 13.Find the missing number. The same rule works in every row or in every column.
    9 | 17 | ?
    9 | 11 | 20
    18 | 17 | 35
14. 14.Diya is a girl. How is Diya’s mother’s mother related to Diya? (a) sister (b) mother (c) aunt (d) grandmother
15. 15.Statements: Some bags are books. All coins are books. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
16. 16.Each person always tells the truth or always lies. Tara says: “Aarav and I both tell the truth.” Aarav says: “At least one of us two, Tara or I, is a liar.” Is Tara a truth-teller or a liar? (a) truth-teller (b) liar
17. 17.Find the missing number. The same rule works in every row or in every column.
    15 | 2 | 7
    4 | 6 | 15
    19 | ? | 22
18. 18.Find the missing number. The same rule works in every row or in every column.
    ? | 12 | 31
    4 | 19 | 23
    6 | 1 | 7
19. 19.Diya is a girl. How is Diya’s son’s son related to Diya? (a) brother (b) grandson (c) nephew (d) son
20. 20.Myra walks 13 m North, then turns around and walks 5 m. How far is she from the starting point now (in m)?
21. 21.Rule: If the shop is open, then Diya buys milk. Fact: The shop is open. What can you say about “Diya does not buy milk”? (a) must be true (b) must be false (c) can't tell
22. 22.Statements: All books are bags. Some bags are pens. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
23. 23.In a group of 32 children, 25 like mangoes, 14 like bananas and 9 like both. How many like neither of the two?
24. 24.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is red. What can you say about “The cars do not stop”? (a) must be true (b) must be false (c) can't tell
25. 25.Today is Friday. What day of the week will it be 56 days from today? (a) Saturday (b) Thursday (c) Sunday (d) Friday
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 4 ÷ 10 × 16?
27. 27.Is 2026 a leap year? (a) Yes (b) No
28. 28.Each person always tells the truth or always lies. Rahul says: “Dev and I both tell the truth.” Dev says: “Rahul is a liar.” Siddharth says: “At least one of us two, Rahul or I, is a liar.” Is Dev a truth-teller or a liar? (a) truth-teller (b) liar
29. 29.Each person always tells the truth or always lies. Saanvi says: “Dev and I both tell the truth.” Meera says: “Saanvi tells the truth.” Dev says: “At least one of us two, Meera or I, is a liar.” Is Dev a truth-teller or a liar? (a) truth-teller (b) liar
30. 30.Which number is the odd one out: 16, 50, 40, 4? (a) 16 (b) 50 (c) 40 (d) 4
31. 31.Today is Sunday. What day of the week will it be 92 days from today? (a) Wednesday (b) Sunday (c) Tuesday (d) Monday
32. 32.Meera is a girl. How is Meera’s brother’s wife related to Meera? (a) sister-in-law (b) aunt (c) sister (d) cousin
33. 33.How many degrees does the hour hand of a clock turn in 63 minutes? =
34. 34.If JUMP is written as LWOR, how is LAMP written in the same code? (a) MBNQ (b) NCOR (c) ODPS (d) JYKN
35. 35.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) R (b) K (c) Y (d) W
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 9 + 9 − 14 × 11?
37. 37.If MILK is written as NROP, how is BALL written in the same code? (a) CBMM (b) XYNN (c) ZAPP (d) YZOO
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 6 − 2 ÷ 4?
39. 39.Myra walks 4 m East, then turns right and walks 3 m. How far is she from the starting point now, in a straight line (in m)?
40. 40.In a group of 44 children, 19 play chess, 22 play carrom and 11 play both. How many play neither of the two?

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