Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 65 · 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.Omkar walks 24 m East, then turns left and walks 7 m. How far is he from the starting point now, in a straight line (in m)?
2. 2.Five friends (Ira, Ishaan, Meera, Omkar and Siddharth) sit in a row. Left and right are as you look at them. Omkar sits just to the right of Ira. Ishaan sits somewhere to the left of Ira. Meera sits somewhere to the left of Omkar. Ishaan does not sit at either end. Ishaan sits just to the right of Siddharth. Meera sits just to the right of Ishaan. Who sits at the left end? (a) Ishaan (b) Omkar (c) Ira (d) Siddharth
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 10 − 6 ÷ 11?
4. 4.What is the smaller angle between the hour hand and the minute hand at 7:19? (in degrees) =
5. 5.Statements: All books are cups. Some toys are books. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
6. 6.Siddharth is taller than Manav. Siddharth is shorter than Karan. Manav is taller than Isha. Who is the shortest? (a) Isha (b) Karan (c) Manav (d) Siddharth
7. 7.Five friends (Aditya, Isha, Manav, Myra and Pooja) sit in a row. Left and right are as you look at them. Isha sits next to both Pooja and Myra. Pooja sits just to the right of Aditya. Manav sits somewhere to the left of Isha. Who sits at the left end? (a) Manav (b) Isha (c) Aditya (d) Myra
8. 8.Rule: If Nisha finishes the homework, then Nisha goes to the park. Fact: Nisha finishes the homework. What can you say about “Nisha goes to the park”? (a) must be true (b) must be false (c) can't tell
9. 9.Find the missing number. The same rule works in every row or in every column.
   12 | 7 | ?
   9 | 17 | 26
   20 | 7 | 27
10. 10.Find the missing number. The same rule works in every row or in every column.
    9 | 2 | 18
    4 | ? | 32
    4 | 6 | 24
11. 11.Yash, Myra and Diya each have a bag of a different colour: red, blue or green. Diya’s bag is not blue. Myra’s bag is not blue. Myra’s bag is not green. Whose bag is red? (a) Yash (b) Myra (c) Diya
12. 12.Each person always tells the truth or always lies. Riya says: “Saanvi is a liar.” Pooja says: “Saanvi and I are the same kind.” Saanvi says: “Pooja and I are the same kind.” Is Riya a truth-teller or a liar? (a) truth-teller (b) liar
13. 13.Find the missing number. The same rule works in every row or in every column.
    19 | ? | 33
    3 | 5 | 8
    2 | 5 | 7
14. 14.A number machine multiplies a number by 3 and then takes away 1. Each output goes back in as the next input. Start with 8. What comes out after step 2?
15. 15.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 8. What comes out after step 3?
16. 16.What is the smaller angle between the hour hand and the minute hand at 12:49? (in degrees) =
17. 17.Dev runs slower than Yash. Aisha runs slower than Arjun. Yash runs slower than Aisha. Who runs the fastest? (a) Aisha (b) Arjun (c) Dev (d) Yash
18. 18.Find the missing number. The same rule works in every row or in every column.
    4 | 6 | 10
    17 | 18 | ?
    2 | 5 | 7
19. 19.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?
20. 20.Which number is the odd one out: 26, 59, 73, 53? (a) 26 (b) 59 (c) 73 (d) 53
21. 21.Neel is older than Ananya. Ananya is older than Dev. Who is the youngest? (a) Dev (b) Neel (c) Ananya
22. 22.On a standard dice, opposite faces add up to 7. The dice shows 2 on top. What number is on the bottom face?
23. 23.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: 57 62 14 93 79 58. After step 3, what is the 1st number from the left?
24. 24.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have no painted face?
25. 25.1 January 2033 is a Saturday. What day of the week is 21 March 2033? (a) Sunday (b) Tuesday (c) Monday (d) Wednesday
26. 26.Aarav walks 12 m North, then turns right and walks 15 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
27. 27.1 January 2024 is a Monday. What day of the week is 9 July 2024? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
28. 28.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is not red. What can you say about “The cars do not stop”? (a) must be true (b) must be false (c) can't tell
29. 29.Which number is the odd one out: 17, 53, 36, 97? (a) 17 (b) 53 (c) 36 (d) 97
30. 30.Riya is older than Aditya. Aditya is older than Diya. Who is the oldest? (a) Diya (b) Aditya (c) Riya
31. 31.On a standard dice, opposite faces add up to 7. The dice shows 6 on top. What number is on the bottom face?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 20 × 3 + 13?
33. 33.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 2. What comes out after step 2?
34. 34.Nisha walks 2 m East, then turns right and walks 9 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
35. 35.Which number is the odd one out: 94, 23, 79, 17? (a) 94 (b) 23 (c) 79 (d) 17
36. 36.Dev, Ishaan and Rohan each play a different game: badminton, cricket or chess. Rohan does not play chess. Dev does not play chess. Rohan does not play cricket. Which game does Rohan play? (a) badminton (b) cricket (c) chess
37. 37.Ananya walks 25 m South, then turns around and walks 3 m. How far is she from the starting point now (in m)?
38. 38.Meera is facing East. She turns left, then turns left, then turns around (a half turn), then turns right. Which direction is she facing now? (a) North (b) East (c) South (d) West
39. 39.Statements: Some keys are boxes. All keys are coins. Conclusion: Some boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
40. 40.If MOON is written as NLLM, how is COLD written in the same code? (a) DPME (b) XLOW (c) YMPX (d) WKNV

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