Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 671 · 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.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 16 ÷ 11 − 9?
2. 2.Which capital letter does NOT look the same in a mirror? (a) X (b) I (c) T (d) C
3. 3.Each person always tells the truth or always lies. Ishaan says: “Aarav and I are the same kind.” Aarav says: “Ishaan and I are the same kind.” Is Aarav a truth-teller or a liar? (a) truth-teller (b) liar
4. 4.Which number is the odd one out: 37, 10, 29, 5? (a) 37 (b) 10 (c) 29 (d) 5
5. 5.Nisha is older than Karan. Karan is older than Diya. Aditya is younger than Diya. Who is the youngest? (a) Diya (b) Karan (c) Nisha (d) Aditya
6. 6.Rule: If Pooja scores above 90, then Pooja gets a gold star. Fact: Pooja gets a gold star. What can you say about “Pooja scores above 90”? (a) must be true (b) must be false (c) can't tell
7. 7.Tara, Arjun and Nisha each have a bag of a different colour: red, yellow or white. Arjun’s bag is not white. Nisha’s bag is not yellow. Tara’s bag is not red. Nisha’s bag is not white. What colour is Tara’s bag? (a) red (b) yellow (c) white
8. 8.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
9. 9.Farhan is older than Vivaan. Farhan is younger than Isha. Who is the oldest? (a) Vivaan (b) Farhan (c) Isha
10. 10.Trees planted in a week: Omkar 10, Priya 29, Diya 37, Aisha 24, Zoya 9. Who has the fewest trees? (a) Priya (b) Zoya (c) Omkar (d) Aisha
11. 11.Three friends (Farhan, Kabir and Karan) sit in a row. Left and right are as you look at them. Kabir sits at the left end. Farhan does not sit at either end. Who sits just to the right of Farhan? (a) Kabir (b) Karan (c) Farhan
12. 12.What is the smaller angle between the hour hand and the minute hand at 2:37? (in degrees) =
13. 13.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?
14. 14.In a group of 33 children, 18 play cricket, 7 play football and 3 play both. How many play only cricket?
15. 15.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan does not get a gold star. What can you say about “Karan scores above 90”? (a) must be true (b) must be false (c) can't tell
16. 16.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 at least one painted face?
17. 17.Find the missing number. The same rule works in every row or in every column.
    4 | 11 | ?
    16 | 1 | 3
    14 | 2 | 4
18. 18.If SUN is written as NUS, how is DOG written in the same code? (a) GOD (b) EPH (c) FNC (d) HPE
19. 19.Statements: All boxes are shoes. All pens are boxes. Conclusion: All shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
20. 20.Kavya walks 4 m West, then turns right and walks 2 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
21. 21.Which capital letter looks exactly the same in a mirror? (a) S (b) N (c) C (d) I
22. 22.A clock shows 9:16. What time will it show 80 minutes later? (a) 10:26 (b) 11:36 (c) 10:46 (d) 10:36
23. 23.Isha walks 22 m East, then turns around and walks 15 m. How far is she from the starting point now (in m)?
24. 24.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 4. What comes out after step 3?
25. 25.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have at least one painted face?
26. 26.I am a 2-digit number. My digits add up to 8 and my tens digit is 6 more than my ones digit. What number am I?
27. 27.Which number is the odd one out: 80, 66, 6, 48? (a) 80 (b) 66 (c) 6 (d) 48
28. 28.Three friends (Kabir, Riya and Siddharth) sit in a row. Left and right are as you look at them. Riya sits at the right end. Siddharth sits next to both Kabir and Riya. Who sits just to the left of Siddharth? (a) Riya (b) Kabir (c) Siddharth
29. 29.Each person always tells the truth or always lies. Rohan says: “Aisha tells the truth.” Vivaan says: “At least one of us two, Aisha or I, is a liar.” Aisha says: “Rohan and I both tell the truth.” Is Vivaan a truth-teller or a liar? (a) truth-teller (b) liar
30. 30.Five friends (Dev, Kabir, Neel, Priya and Vivaan) sit in a row. Left and right are as you look at them. Dev does not sit at either end. Dev sits just to the right of Vivaan. Vivaan does not sit at either end. Neel sits at the left end. Kabir sits just to the right of Dev. Dev sits somewhere to the left of Priya. Who sits at the right end? (a) Neel (b) Dev (c) Priya (d) Kabir
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 13 × 14 ÷ 12?
32. 32.Find the missing number. The same rule works in every row or in every column.
    6 | 7 | 42
    ? | 2 | 4
    6 | 9 | 54
33. 33.Which number is the odd one out: 19, 40, 41, 5? (a) 19 (b) 40 (c) 41 (d) 5
34. 34.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: 12 68 28 56 17 35. After step 4, what is the 1st number from the left?
35. 35.Omkar is facing East. He turns right, then turns right, then turns left. Which direction is he facing now? (a) North (b) East (c) South (d) West
36. 36.Meera is a girl. How is Meera’s brother’s wife related to Meera? (a) cousin (b) sister (c) sister-in-law (d) aunt
37. 37.Riya is older than Siddharth. Kabir is older than Riya. Who is the youngest? (a) Siddharth (b) Riya (c) Kabir
38. 38.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 2. What comes out after step 2?
39. 39.11 January is a Sunday. What day of the week is 11 February of the same year? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
40. 40.What is the smaller angle between the hour hand and the minute hand at 2:01? (in degrees) =

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