Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 790 · 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.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 three painted faces?
2. 2.I am a 2-digit number. My digits add up to 10 and my tens digit is 4 more than my ones digit. What number am I?
3. 3.A clock shows 2:42. What time will it show 94 minutes later? (a) 5:16 (b) 4:06 (c) 4:16 (d) 4:26
4. 4.Each person always tells the truth or always lies. Aisha says: “At least one of us two, Nisha or I, is a liar.” Nisha says: “Aisha is a liar.” Is Aisha a truth-teller or a liar? (a) truth-teller (b) liar
5. 5.Two standard dice show 2 and 4 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
6. 6.Which number is the odd one out: 12, 32, 48, 8? (a) 12 (b) 32 (c) 48 (d) 8
7. 7.Riya is shorter than Kavya. Aisha is taller than Kavya. Who is the tallest? (a) Aisha (b) Riya (c) Kavya
8. 8.Rule: If Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan does not get a medal. What can you say about “Ishaan does not win the match”? (a) must be true (b) must be false (c) can't tell
9. 9.A clock shows 11:13. What time does it show in a mirror? (a) 1:13 (b) 11:47 (c) 12:47 (d) 1:47
10. 10.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: 74 99 13 64 35 29. After step 2, what is the 4th number from the left?
11. 11.Statements: All keys are caps. Some caps are bags. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
12. 12.Find the missing number. The same rule works in every row or in every column.
    2 | 18 | 18
    13 | ? | 8
    15 | 22 | 26
13. 13.I am a 2-digit number. My digits add up to 11 and my tens digit is 1 more than my ones digit. What number am I?
14. 14.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
15. 15.Is 1800 a leap year? (a) Yes (b) No
16. 16.Three friends (Aarav, Manav and Sneha) sit in a row. Left and right are as you look at them. Sneha does not sit at either end. Aarav sits just to the right of Sneha. Who sits just to the right of Manav? (a) Manav (b) Sneha (c) Aarav
17. 17.3 June is a Tuesday. What day of the week is 3 July of the same year? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
18. 18.Two standard dice show 5 and 2 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
19. 19.On a standard dice, opposite faces add up to 7. The dice shows 4 on top. What number is on the bottom face?
20. 20.Which number is the odd one out: 32, 46, 96, 24? (a) 32 (b) 46 (c) 96 (d) 24
21. 21.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have exactly two painted faces?
22. 22.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have exactly two painted faces?
23. 23.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
24. 24.Which number is the odd one out: 79, 2, 26, 47? (a) 79 (b) 2 (c) 26 (d) 47
25. 25.Diya is older than Neel. Saanvi is younger than Kabir. Diya is younger than Saanvi. Who is the second oldest? (a) Diya (b) Saanvi (c) Kabir (d) Neel
26. 26.Find the missing number. The same rule works in every row or in every column.
    20 | 2 | 22
    5 | 9 | 14
    5 | 9 | ?
27. 27.Find the missing number. The same rule works in every row or in every column.
    12 | 2 | 1
    13 | 1 | ?
    8 | 4 | 3
28. 28.Dev is taller than Aditya. Farhan is taller than Dev. Myra is taller than Farhan. Who is the tallest? (a) Myra (b) Aditya (c) Dev (d) Farhan
29. 29.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have exactly two painted faces?
30. 30.Which number is the odd one out: 43, 89, 73, 66? (a) 43 (b) 89 (c) 73 (d) 66
31. 31.Diya is a girl. How is Diya’s mother’s brother related to Diya? (a) uncle (b) grandfather (c) brother (d) cousin
32. 32.Five friends (Aisha, Ira, Meera, Neel and Rahul) sit in a row. Left and right are as you look at them. Rahul sits somewhere to the left of Aisha. Ira sits just to the right of Aisha. Meera sits somewhere to the left of Ira. Aisha sits next to both Meera and Ira. Ira sits next to both Aisha and Neel. Who sits at the left end? (a) Meera (b) Ira (c) Aisha (d) Rahul
33. 33.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 three painted faces?
34. 34.Five friends (Dev, Kavya, Rahul, Riya and Yash) sit in a row. Left and right are as you look at them. Kavya sits at the left end. Dev sits just to the right of Kavya. Riya sits just to the right of Yash. Rahul sits just to the right of Dev. Who sits just to the right of Rahul? (a) Riya (b) Dev (c) Rahul (d) Yash
35. 35.1 January 2010 is a Friday. What day of the week is 1 December 2010? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
36. 36.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    8 | 3 | 4
    1 | ? | 9
    6 | 7 | 2
37. 37.I am a 2-digit number. My digits add up to 11 and my tens digit is 3 more than my ones digit. What number am I?
38. 38.In a group of 46 children, 11 play cricket, 25 play football and 5 play both. How many play at least one of the two?
39. 39.Which number is the odd one out: 59, 3, 78, 71? (a) 59 (b) 3 (c) 78 (d) 71
40. 40.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: 63 12 11 93 88 29. After step 2, what is the 2nd number from the left?

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