Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 817 · 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.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
2. 2.Aisha walks 14 m North, then turns around and walks 7 m. How far is she from the starting point now (in m)?
3. 3.Is 2028 a leap year? (a) Yes (b) No
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 3 ÷ 6 − 7?
5. 5.Diya is facing West. She turns right, then turns left, then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
6. 6.If FROG is written as UILT, how is DRUM written in the same code? (a) VHEM (b) XJGO (c) WIFN (d) ESVN
7. 7.Manav is heavier than Dev. Manav is lighter than Yash. Who is the second heaviest? (a) Manav (b) Yash (c) Dev
8. 8.Three friends (Kabir, Pooja and Siddharth) sit in a row. Left and right are as you look at them. Siddharth sits somewhere to the left of Pooja. Kabir sits just to the right of Siddharth. Who sits just to the left of Pooja? (a) Siddharth (b) Pooja (c) Kabir
9. 9.A wooden cube is painted on all six faces, then each edge is cut into 3 equal parts, making small cubes. How many small cubes have exactly three painted faces?
10. 10.Each person always tells the truth or always lies. Kabir says: “Meera and I both tell the truth.” Meera says: “Kabir and I are the same kind.” Is Meera a truth-teller or a liar? (a) truth-teller (b) liar
11. 11.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
12. 12.A clock shows 9:16. What time does it show in a mirror? (a) 3:16 (b) 1:44 (c) 2:44 (d) 3:44
13. 13.Find the missing number. The same rule works in every row or in every column.
    2 | 6 | 12
    ? | 2 | 10
    8 | 4 | 32
14. 14.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    4 | 9 | 2
    3 | ? | 7
    8 | 1 | 6
15. 15.What is the smaller angle between the hour hand and the minute hand at 11:43? (in degrees) =
16. 16.Ira is a girl. How is Ira’s brother’s daughter related to Ira? (a) niece (b) sister (c) cousin (d) daughter
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 17 ÷ 7 + 16?
18. 18.Is 1999 a leap year? (a) Yes (b) No
19. 19.Which number is the odd one out: 97, 47, 38, 83? (a) 97 (b) 47 (c) 38 (d) 83
20. 20.Tara is a girl. How is Tara’s brother’s son related to Tara? (a) brother (b) nephew (c) cousin (d) son
21. 21.Riya is older than Siddharth. Aditya is older than Riya. Who is the second youngest? (a) Riya (b) Aditya (c) Siddharth
22. 22.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have no painted face?
23. 23.Statements: All coins are balls. All coins are bags. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
24. 24.Ananya, Rahul and Saanvi each play a different game: cricket, football or chess. Ananya does not play chess. Rahul does not play chess. Rahul does not play football. Who plays chess? (a) Ananya (b) Rahul (c) Saanvi
25. 25.What is the smaller angle between the hour hand and the minute hand at 11:06? (in degrees) =
26. 26.Statements: All cups are coins. No coins are shoes. Conclusion: No cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
27. 27.A clock shows 12:25. What time does it show in a mirror? (a) 12:25 (b) 11:35 (c) 10:35 (d) 12:35
28. 28.If FISH is written as HKUJ, how is SUN written in the same code? (a) QSL (b) UWP (c) VXQ (d) TVO
29. 29.Find the missing number. The same rule works in every row or in every column.
    6 | 1 | 5
    7 | 2 | 3
    8 | 2 | ?
30. 30.1 January 2004 is a Thursday. What day of the week is 23 April 2004? (a) Sunday (b) Friday (c) Thursday (d) Saturday
31. 31.Ananya, Rohan and Farhan each play a different game: cricket, football or chess. Rohan does not play cricket. Ananya does not play chess. Rohan does not play football. Ananya does not play cricket. Who plays chess? (a) Ananya (b) Rohan (c) Farhan
32. 32.Rahul, Neel and Diya each have a bag of a different colour: blue, red or white. Neel’s bag is not white. Rahul’s bag is not red. Neel’s bag is not red. What colour is Rahul’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: 63 53 97 72 85 44. After step 4, what is the 5th number from the left?
34. 34.1 January 2001 is a Monday. What day of the week is 13 July 2001? (a) Thursday (b) Friday (c) Saturday (d) Sunday
35. 35.I am a 2-digit number. My digits add up to 9 and my tens digit is 9 more than my ones digit. What number am I?
36. 36.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    6 | 27 | 12
    21 | 15 | 9
    ? | 3 | 24
37. 37.Farhan is a boy. How is Farhan’s son’s wife related to Farhan? (a) niece (b) daughter-in-law (c) daughter (d) sister-in-law
38. 38.Rule: If Diya wins the match, then Diya gets a medal. Fact: Diya gets a medal. What can you say about “Diya wins the match”? (a) must be true (b) must be false (c) can't tell
39. 39.Each person always tells the truth or always lies. Ishaan says: “Zoya is a liar.” Zoya says: “Ishaan and I both tell the truth.” Is Ishaan a truth-teller or a liar? (a) truth-teller (b) liar
40. 40.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have at least one painted face?

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