Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 805 · 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.Today is Sunday. What day of the week will it be 93 days from today? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
2. 2.What is the smaller angle between the hour hand and the minute hand at 10:43? (in degrees) =
3. 3.Two standard dice show 6 and 2 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 × 4 + 15 ÷ 16?
5. 5.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have exactly one painted face?
6. 6.Find the missing number. The same rule works in every row or in every column.
   19 | 3 | 2
   ? | 1 | 2
   1 | 17 | 6
7. 7.Four friends (Kabir, Kavya, Myra and Priya) sit in a row. Left and right are as you look at them. Kavya sits somewhere to the left of Kabir. Kabir does not sit at either end. Myra sits just to the right of Kabir. Priya sits next to both Kavya and Kabir. Who sits just to the right of Kavya? (a) Kabir (b) Kavya (c) Priya (d) Myra
8. 8.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   8 | 18 | 16
   22 | 14 | 6
   ? | 10 | 20
9. 9.Today is Wednesday. What day of the week will it be 34 days from today? (a) Thursday (b) Monday (c) Wednesday (d) Tuesday
10. 10.Statements: All kites are coins. Some coins are rings. Conclusion: No kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
11. 11.Find the missing number. The same rule works in every row or in every column.
    16 | 9 | 25
    2 | 5 | 7
    5 | ? | 15
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 13 + 6 − 13?
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: 98 12 31 71 63 25. After step 2, what is the 2nd number from the left?
14. 14.Dev is a boy. How is Dev’s mother’s mother related to Dev? (a) grandmother (b) aunt (c) mother (d) sister
15. 15.Four friends (Aditya, Aisha, Karan and Rohan) sit in a row. Left and right are as you look at them. Aditya sits somewhere to the left of Rohan. Rohan sits just to the right of Aisha. Aisha sits somewhere to the left of Karan. Who sits just to the right of Rohan? (a) Karan (b) Aditya (c) Rohan (d) Aisha
16. 16.What is the smaller angle between the hour hand and the minute hand at 3:34? (in degrees) =
17. 17.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar finishes the homework. What can you say about “Omkar goes to the park”? (a) must be true (b) must be false (c) can't tell
18. 18.Five friends (Ananya, Dev, Neel, Rohan and Siddharth) sit in a row. Left and right are as you look at them. Siddharth does not sit at either end. Rohan sits somewhere to the left of Ananya. Ananya sits just to the right of Siddharth. Rohan sits somewhere to the left of Dev. Neel sits somewhere to the left of Dev. Siddharth sits somewhere to the left of Dev. Rohan sits next to both Neel and Siddharth. Who sits just to the left of Rohan? (a) Rohan (b) Neel (c) Siddharth (d) Dev
19. 19.A clock shows 9:44. What time will it show 110 minutes later? (a) 12:34 (b) 11:44 (c) 11:24 (d) 11:34
20. 20.Each person always tells the truth or always lies. Neel says: “Nisha and I both tell the truth.” Nisha says: “Neel and I are the same kind.” Is Nisha a truth-teller or a liar? (a) truth-teller (b) liar
21. 21.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) T (b) N (c) F (d) E
22. 22.Rule: If the shop is open, then Ishaan buys milk. Fact: The shop is open. What can you say about “Ishaan does not buy milk”? (a) must be true (b) must be false (c) can't tell
23. 23.Statements: All kites are caps. All balls are kites. Conclusion: Some balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
24. 24.A clock shows 11:20. What time does it show in a mirror? (a) 1:20 (b) 11:40 (c) 12:40 (d) 1:40
25. 25.Priya is taller than Farhan. Tara is taller than Priya. Who is the tallest? (a) Priya (b) Farhan (c) Tara
26. 26.I am a 2-digit number. My digits add up to 3 and my tens digit is 3 more than my ones digit. What number am I?
27. 27.Four friends (Aarav, Neel, Pooja and Sneha) sit in a row. Left and right are as you look at them. Neel does not sit at either end. Sneha sits at the right end. Pooja sits at the left end. Neel sits next to both Aarav and Sneha. Who sits just to the left of Sneha? (a) Aarav (b) Neel (c) Sneha (d) Pooja
28. 28.Four friends (Kabir, Riya, Saanvi and Vivaan) sit in a row. Left and right are as you look at them. Saanvi does not sit at either end. Saanvi sits just to the right of Kabir. Kabir sits just to the right of Vivaan. Who sits at the right end? (a) Vivaan (b) Riya (c) Saanvi (d) Kabir
29. 29.Isha, Nisha and Priya each play a different game: badminton, cricket or carrom. Isha does not play carrom. Nisha does not play carrom. Nisha does not play cricket. Which game does Nisha play? (a) badminton (b) cricket (c) carrom
30. 30.Three friends (Arjun, Rohan and Vivaan) sit in a row. Left and right are as you look at them. Rohan sits somewhere to the left of Vivaan. Arjun does not sit at either end. Who sits at the right end? (a) Rohan (b) Vivaan (c) Arjun
31. 31.Neel is a boy. How is Neel’s mother’s mother related to Neel? (a) mother (b) aunt (c) grandmother (d) sister
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 5 − 5 + 20 × 13?
33. 33.Find the missing number. The same rule works in every row or in every column.
    9 | 8 | ?
    3 | 2 | 6
    7 | 5 | 35
34. 34.Rohan walks 16 m North, turns right and walks 9 m, then turns right again and walks 4 m. How far is he from the starting point now, in a straight line (in m)?
35. 35.Ananya is a girl. How is Ananya’s son’s son related to Ananya? (a) grandson (b) brother (c) son (d) nephew
36. 36.A clock shows 3:54. What time does it show in a mirror? (a) 9:06 (b) 7:06 (c) 8:06 (d) 9:54
37. 37.Which number is the odd one out: 79, 6, 83, 69? (a) 79 (b) 6 (c) 83 (d) 69
38. 38.Three friends (Arjun, Nisha and Siddharth) sit in a row. Left and right are as you look at them. Nisha sits somewhere to the left of Siddharth. Siddharth sits just to the right of Arjun. Who sits in the middle? (a) Arjun (b) Siddharth (c) Nisha
39. 39.28 January is a Tuesday. What day of the week is 28 February of the same year? (a) Thursday (b) Sunday (c) Friday (d) Saturday
40. 40.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) Y (b) V (c) P (d) C

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