Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 482 · 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. Diya says: “Pooja tells the truth.” Ira says: “Diya and I are different kinds.” Pooja says: “Ira and I are the same kind.” Is Ira a truth-teller or a liar? (a) truth-teller (b) liar
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 20 ÷ 14 × 18?
3. 3.Which capital letter does NOT look the same in a mirror? (a) Y (b) F (c) V (d) X
4. 4.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
5. 5.Find the missing number. The same rule works in every row or in every column.
   7 | ? | 14
   8 | 2 | 16
   5 | 8 | 40
6. 6.Myra, Riya and Aarav each have a bag of a different colour: yellow, blue or red. Aarav’s bag is not yellow. Aarav’s bag is not blue. Riya’s bag is not blue. What colour is Myra’s bag? (a) yellow (b) blue (c) red
7. 7.1 January 2002 is a Tuesday. What day of the week is 6 April 2002? (a) Friday (b) Saturday (c) Sunday (d) Monday
8. 8.Books read in the summer holidays: Manav 12, Aditya 6, Sneha 15, Siddharth 7, Meera 9. Who has the most books? (a) Siddharth (b) Manav (c) Meera (d) Sneha
9. 9.I am a 2-digit number. My digits add up to 7 and my tens digit is 1 more than my ones digit. What number am I?
10. 10.In a group of 32 children, 19 play cricket, 10 play football and 7 play both. How many play only football?
11. 11.On a standard dice, opposite faces add up to 7. The dice shows 5 on top. What number is on the bottom face?
12. 12.Each person always tells the truth or always lies. Isha says: “Ira and I are the same kind.” Ira says: “Isha tells the truth.” Riya says: “Isha is a liar.” Is Isha a truth-teller or a liar? (a) truth-teller (b) liar
13. 13.Zoya runs faster than Saanvi. Zoya runs slower than Diya. Who runs the fastest? (a) Zoya (b) Saanvi (c) Diya
14. 14.Ishaan is a boy. How is Ishaan’s mother’s mother related to Ishaan? (a) sister (b) mother (c) aunt (d) grandmother
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 8 − 11 ÷ 15?
16. 16.1 January 2035 is a Monday. What day of the week is 23 August 2035? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
17. 17.Karan is a boy. How is Karan’s mother’s father related to Karan? (a) uncle (b) grandson (c) grandfather (d) father
18. 18.Rahul runs faster than Farhan. Aditya runs faster than Rahul. Ishaan runs slower than Farhan. Who runs the slowest? (a) Rahul (b) Farhan (c) Ishaan (d) Aditya
19. 19.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
20. 20.Aditya, Tara and Pooja each have a bag of a different colour: red, yellow or green. Pooja’s bag is not yellow. Aditya’s bag is not green. Pooja’s bag is not red. Aditya’s bag is not yellow. Whose bag is green? (a) Aditya (b) Tara (c) Pooja
21. 21.Ira runs faster than Diya. Diya runs faster than Pooja. Who runs the slowest? (a) Diya (b) Pooja (c) Ira
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 17 + 4 − 3?
23. 23.How many degrees does the hour hand of a clock turn in 157 minutes? =
24. 24.Sneha runs slower than Arjun. Meera runs faster than Arjun. Who runs the fastest? (a) Arjun (b) Sneha (c) Meera
25. 25.Two standard dice show 4 and 3 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
26. 26.Each person always tells the truth or always lies. Riya says: “Zoya and I are different kinds.” Zoya says: “Riya tells the truth.” Is Riya a truth-teller or a liar? (a) truth-teller (b) liar
27. 27.Ira is facing North. She turns left, then turns around (a half turn). Which direction is she facing now? (a) North (b) East (c) South (d) West
28. 28.Statements: All bells are rings. All balls are rings. Conclusion: All balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
29. 29.If BOAT is written as TAOB, how is DRUM written in the same code? (a) MURD (b) LTQC (c) ESVN (d) NVSE
30. 30.Is 2005 a leap year? (a) Yes (b) No
31. 31.Rule: If the plant gets water, then the plant stays green. Fact: The plant stays green. What can you say about “The plant does not get water”? (a) must be true (b) must be false (c) can't tell
32. 32.Marks in a maths test (out of 50): Zoya 22, Karan 24, Omkar 47, Saanvi 26, Aisha 34. Who has the most marks? (a) Karan (b) Aisha (c) Saanvi (d) Omkar
33. 33.Find the missing number. The same rule works in every row or in every column.
    10 | ? | 3
    6 | 2 | 6
    3 | 9 | 2
34. 34.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have exactly one painted face?
35. 35.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: 75 98 45 17 60 33. After step 3, what is the 4th number from the left?
36. 36.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) C (b) F (c) G (d) Q
37. 37.Ananya is a girl. How is Ananya’s brother’s daughter related to Ananya? (a) daughter (b) sister (c) cousin (d) niece
38. 38.Which number is the odd one out: 47, 65, 43, 73? (a) 47 (b) 65 (c) 43 (d) 73
39. 39.Rahul is facing North. He turns left, then turns left, then turns right, then turns left. Which direction is he facing now? (a) North (b) East (c) South (d) West
40. 40.Which capital letter looks exactly the same in a mirror? (a) D (b) B (c) I (d) J

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