Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 549 · 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 5 ÷ 3 × 2 − 7?
2. 2.Find the missing number. The same rule works in every row or in every column.
   18 | 11 | 29
   5 | ? | 11
   9 | 16 | 25
3. 3.A wooden cube is painted on all six faces, then each edge is cut into 4 equal parts, making small cubes. How many small cubes have exactly three painted faces?
4. 4.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: 58 62 31 75 82 13. After step 3, what is the 2nd number from the left?
5. 5.Which number is the odd one out: 50, 81, 27, 9? (a) 50 (b) 81 (c) 27 (d) 9
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 3 + 5 ÷ 2?
7. 7.A number machine multiplies a number by 3 and then takes away 4. Each output goes back in as the next input. Start with 6. What comes out after step 3?
8. 8.Rohan is a boy. How is Rohan’s father’s only son’s sister related to Rohan? (a) mother (b) aunt (c) cousin (d) sister
9. 9.Saanvi is older than Pooja. Siddharth is younger than Pooja. Saanvi is younger than Aisha. Who is the youngest? (a) Pooja (b) Siddharth (c) Saanvi (d) Aisha
10. 10.Isha walks 15 m East, turns left and walks 15 m, then turns left again and walks 7 m. How far is she from the starting point now, in a straight line (in m)?
11. 11.Isha, Zoya and Rahul each play a different game: cricket, football or carrom. Zoya does not play carrom. Rahul does not play football. Zoya does not play cricket. Isha does not play cricket. Which game does Rahul play? (a) cricket (b) football (c) carrom
12. 12.Steps climbed in a minute: Rahul 23, Ira 51, Farhan 80, Zoya 89, Sneha 86. What is the difference between the highest and the lowest?
13. 13.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
14. 14.Nisha is facing South. She turns left, then turns left, then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
15. 15.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara goes to the park. What can you say about “Tara does not finish the homework”? (a) must be true (b) must be false (c) can't tell
16. 16.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    ? | 15 | 18
    9 | 21 | 33
    24 | 27 | 12
17. 17.Siddharth is younger than Aisha. Aisha is younger than Ananya. Who is the oldest? (a) Siddharth (b) Aisha (c) Ananya
18. 18.Each person always tells the truth or always lies. Dev says: “Pooja and I are the same kind.” Pooja says: “Dev tells the truth.” Is Pooja a truth-teller or a liar? (a) truth-teller (b) liar
19. 19.Runs scored in a cricket match: Yash 13, Siddharth 48, Zoya 14, Nisha 46, Aditya 21. What is the total for all five children?
20. 20.1 January 2035 is a Monday. What day of the week is 17 February 2035? (a) Friday (b) Saturday (c) Sunday (d) Monday
21. 21.A number machine multiplies a number by 3 and then takes away 4. Each output goes back in as the next input. Start with 7. What comes out after step 3?
22. 22.Rule: If Diya wins the match, then Diya gets a medal. Fact: Diya gets a medal. What can you say about “Diya wins the match”? (a) must be true (b) must be false (c) can't tell
23. 23.Two standard dice show 5 and 4 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
24. 24.Books read in the summer holidays: Myra 19, Aditya 18, Kavya 4, Meera 6, Rohan 10. Who has the fewest books? (a) Kavya (b) Meera (c) Myra (d) Rohan
25. 25.Which number is the odd one out: 11, 23, 17, 27? (a) 11 (b) 23 (c) 17 (d) 27
26. 26.Omkar, Diya and Zoya each have a bag of a different colour: yellow, blue or red. Omkar’s bag is not blue. Diya’s bag is not yellow. Zoya’s bag is not red. Zoya’s bag is not blue. What colour is Diya’s bag? (a) yellow (b) blue (c) red
27. 27.If WIND is written as XJOE, how is FROG written in the same code? (a) HTQI (b) GSPH (c) HPSG (d) EQNF
28. 28.Statements: No rings are shoes. Some caps are rings. Conclusion: Some shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
29. 29.Aditya walks 17 m East, turns left and walks 6 m, then turns left again and walks 9 m. How far is he from the starting point now, in a straight line (in m)?
30. 30.Nisha is a girl. How is Nisha’s mother’s brother’s son related to Nisha? (a) cousin (b) brother (c) uncle (d) nephew
31. 31.Pooja is a girl. How is Pooja’s son’s wife related to Pooja? (a) sister-in-law (b) niece (c) daughter-in-law (d) daughter
32. 32.If TOYS is written as GLBH, how is FROG written in the same code? (a) THKS (b) UILT (c) VJMU (d) GSPH
33. 33.Five friends (Aisha, Ananya, Ira, Isha and Myra) sit in a row. Left and right are as you look at them. Isha sits just to the right of Myra. Ira sits somewhere to the left of Myra. Ananya sits somewhere to the left of Isha. Aisha sits just to the right of Ananya. Ira sits somewhere to the left of Aisha. Who sits at the left end? (a) Ananya (b) Aisha (c) Ira (d) Myra
34. 34.Rule: If the bell rings, then the class starts. Fact: The class starts. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
35. 35.Pooja, Ishaan and Kavya each have a bag of a different colour: green, red or blue. Kavya’s bag is not blue. Pooja’s bag is not green. Pooja’s bag is not red. Ishaan’s bag is not red. Whose bag is green? (a) Pooja (b) Ishaan (c) Kavya
36. 36.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: 25 40 45 92 16 83. After step 2, what is the 2nd number from the left?
37. 37.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have no painted face?
38. 38.If FISH is written as ITJG, how is TOYS written in the same code? (a) RXNS (b) UPZT (c) SYOT (d) TZPU
39. 39.Pooja is taller than Farhan. Myra is shorter than Kabir. Kabir is shorter than Farhan. Who is the second tallest? (a) Kabir (b) Pooja (c) Myra (d) Farhan
40. 40.1 January 2027 is a Friday. What day of the week is 6 February 2027? (a) Sunday (b) Monday (c) Friday (d) Saturday

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