Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 834 · 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 number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 7. What comes out after step 2?
2. 2.Find the missing number. The same rule works in every row or in every column.
   7 | 9 | 63
   9 | 3 | 27
   2 | 9 | ?
3. 3.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
4. 4.I am a 2-digit number. My digits add up to 6 and my tens digit is 2 more than my ones digit. What number am I?
5. 5.Find the missing number. The same rule works in every row or in every column.
   2 | 17 | 12
   10 | 17 | 18
   12 | 34 | ?
6. 6.Three friends (Isha, Kabir and Rohan) sit in a row. Left and right are as you look at them. Isha sits somewhere to the left of Kabir. Rohan sits just to the right of Isha. Who sits in the middle? (a) Isha (b) Kabir (c) Rohan
7. 7.Aisha, Meera and Karan each have a bag of a different colour: red, blue or green. Aisha’s bag is not blue. Meera’s bag is not green. Meera’s bag is not red. Aisha’s bag is not red. Whose bag is blue? (a) Aisha (b) Meera (c) Karan
8. 8.Which capital letter does NOT look the same in a mirror? (a) X (b) H (c) Y (d) Z
9. 9.Each person always tells the truth or always lies. Dev says: “Ananya and I are different kinds.” Ananya says: “Dev and I are the same kind.” Is Dev a truth-teller or a liar? (a) truth-teller (b) liar
10. 10.Which number is the odd one out: 52, 4, 64, 16? (a) 52 (b) 4 (c) 64 (d) 16
11. 11.Five friends (Aarav, Diya, Farhan, Manav and Sneha) sit in a row. Left and right are as you look at them. Sneha sits somewhere to the left of Manav. Farhan sits at the right end. Diya does not sit at either end. Sneha sits somewhere to the left of Aarav. Farhan sits just to the right of Manav. Manav sits next to both Aarav and Farhan. Who sits just to the left of Diya? (a) Diya (b) Sneha (c) Manav (d) Farhan
12. 12.Find the missing number. The same rule works in every row or in every column.
    3 | 3 | 6
    2 | 16 | 18
    20 | 13 | ?
13. 13.Each person always tells the truth or always lies. Aditya says: “At least one of us two, Karan or I, is a liar.” Dev says: “At least one of us two, Karan or I, is a liar.” Karan says: “Dev is a liar.” Is Dev a truth-teller or a liar? (a) truth-teller (b) liar
14. 14.Statements: All books are coins. Some coins are boxes. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
15. 15.Find the missing number. The same rule works in every row or in every column.
    11 | 4 | 15
    ? | 20 | 29
    13 | 19 | 32
16. 16.Isha walks 4 m West, then turns left 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
17. 17.Each person always tells the truth or always lies. Dev says: “Isha and I are the same kind.” Omkar says: “Dev and I both tell the truth.” Isha says: “Omkar tells the truth.” Is Dev a truth-teller or a liar? (a) truth-teller (b) liar
18. 18.In a group of 36 children, 24 play chess, 13 play carrom and 9 play both. How many play neither of the two?
19. 19.Each person always tells the truth or always lies. Zoya says: “Karan is a liar.” Karan says: “Zoya and I both tell the truth.” Tara says: “Zoya is a liar.” Is Tara a truth-teller or a liar? (a) truth-teller (b) liar
20. 20.Kabir is a boy. How is Kabir’s son’s son related to Kabir? (a) brother (b) son (c) nephew (d) grandson
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 15 − 16 + 15?
22. 22.Priya runs faster than Riya. Riya runs faster than Myra. Who runs the second slowest? (a) Priya (b) Riya (c) Myra
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 19 + 3 − 7?
24. 24.Aisha walks 22 m West, then turns around and walks 17 m. How far is she from the starting point now (in m)?
25. 25.Dev is a boy. How is Dev’s sister’s daughter related to Dev? (a) sister (b) aunt (c) niece (d) daughter
26. 26.Three friends (Ishaan, Kavya and Manav) sit in a row. Left and right are as you look at them. Manav sits just to the right of Ishaan. Kavya sits at the right end. Who sits just to the left of Kavya? (a) Ishaan (b) Kavya (c) Manav
27. 27.Find the missing number. The same rule works in every row or in every column.
    1 | 2 | 9
    8 | 1 | ?
    4 | 6 | 2
28. 28.Find the missing number. The same rule works in every row or in every column.
    9 | 13 | 22
    16 | 2 | 18
    2 | ? | 3
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 4 − 2 × 20 ÷ 5?
30. 30.If STAR is written as HGZI, how is DOG written in the same code? (a) XMU (b) VKS (c) WLT (d) EPH
31. 31.The sum of three consecutive even numbers is 234. What is the smallest of them?
32. 32.Four friends (Aisha, Karan, Kavya and Rohan) sit in a row. Left and right are as you look at them. Kavya sits just to the right of Karan. Rohan sits just to the right of Aisha. Karan sits next to both Rohan and Kavya. Who sits at the left end? (a) Kavya (b) Rohan (c) Karan (d) Aisha
33. 33.Zoya, Saanvi and Kavya each have a bag of a different colour: yellow, red or green. Kavya’s bag is not yellow. Zoya’s bag is not green. Saanvi’s bag is not red. Kavya’s bag is not green. Whose bag is yellow? (a) Zoya (b) Saanvi (c) Kavya
34. 34.Find the missing number. The same rule works in every row or in every column.
    1 | ? | 5
    7 | 20 | 3
    8 | 39 | 8
35. 35.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have exactly one painted face?
36. 36.Four friends (Farhan, Isha, Pooja and Siddharth) sit in a row. Left and right are as you look at them. Siddharth sits at the left end. Farhan sits next to both Pooja and Isha. Pooja sits next to both Siddharth and Farhan. Who sits just to the right of Pooja? (a) Farhan (b) Isha (c) Siddharth (d) Pooja
37. 37.If DRUM is written as NVSE, how is BALL written in the same code? (a) KKZA (b) LLAB (c) CBMM (d) MMBC
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 7 ÷ 2 × 13?
39. 39.Statements: All kites are boxes. All kites are coins. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
40. 40.In a group of 29 children, 14 enjoy drawing, 21 enjoy dancing and 9 enjoy both. How many enjoy only drawing?

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