Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 305 · 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.Two standard dice show 6 and 4 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
2. 2.Four friends (Ananya, Isha, Saanvi and Siddharth) sit in a row. Left and right are as you look at them. Siddharth sits just to the right of Isha. Siddharth sits next to both Isha and Saanvi. Ananya sits at the right end. Who sits at the left end? (a) Ananya (b) Saanvi (c) Siddharth (d) Isha
3. 3.In a group of 37 children, 16 enjoy drawing, 19 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
4. 4.Karan walks 14 m North, turns right and walks 24 m, then turns right again and walks 7 m. How far is he from the starting point now, in a straight line (in m)?
5. 5.Find the missing number. The same rule works in every row or in every column.
   3 | 8 | 24
   ? | 6 | 48
   8 | 2 | 16
6. 6.Which number is the odd one out: 46, 27, 74, 86? (a) 46 (b) 27 (c) 74 (d) 86
7. 7.Myra, Pooja and Ishaan each have a different pet: tortoise, rabbit or cat. Myra does not have the tortoise. Ishaan does not have the rabbit. Pooja does not have the cat. Pooja does not have the tortoise. Which pet does Ishaan have? (a) tortoise (b) rabbit (c) cat
8. 8.Ishaan is a boy. How is Ishaan’s daughter’s husband related to Ishaan? (a) nephew (b) son (c) brother-in-law (d) son-in-law
9. 9.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 8. What comes out after step 2?
10. 10.A clock shows 4:11. What time will it show 98 minutes later? (a) 5:39 (b) 6:49 (c) 5:59 (d) 5:49
11. 11.Diya is a girl. How is Diya’s brother’s wife related to Diya? (a) aunt (b) cousin (c) sister-in-law (d) sister
12. 12.Five friends (Dev, Diya, Ira, Karan and Pooja) sit in a row. Left and right are as you look at them. Diya sits just to the right of Karan. Ira sits somewhere to the left of Karan. Karan sits just to the right of Dev. Pooja sits next to both Ira and Dev. Who sits in the middle? (a) Dev (b) Ira (c) Diya (d) Pooja
13. 13.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
14. 14.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: 79 49 66 82 23 75. After step 2, what is the 1st number from the left?
15. 15.Two standard dice show 2 and 6 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
16. 16.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 5. What comes out after step 3?
17. 17.Two standard dice show 4 and 2 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
18. 18.Marks in a maths test (out of 50): Rohan 19, Karan 36, Farhan 33, Pooja 21, Aarav 15. What is the total for all five children?
19. 19.Statements: All boxes are toys. All bells are boxes. Conclusion: Some toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
20. 20.Neel, Ishaan and Manav each have a bag of a different colour: white, yellow or blue. Ishaan’s bag is not blue. Manav’s bag is not blue. Ishaan’s bag is not yellow. Whose bag is yellow? (a) Neel (b) Ishaan (c) Manav
21. 21.Each person always tells the truth or always lies. Nisha says: “Vivaan and I are different kinds.” Tara says: “Nisha tells the truth.” Vivaan says: “Tara is a liar.” Is Vivaan a truth-teller or a liar? (a) truth-teller (b) liar
22. 22.Find the missing number. The same rule works in every row or in every column.
    6 | 7 | 42
    5 | ? | 20
    3 | 2 | 6
23. 23.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: 36 24 50 91 82 67. After step 2, what is the 4th number from the left?
24. 24.Neel runs faster than Farhan. Aditya runs faster than Ira. Ira runs faster than Neel. Who runs the slowest? (a) Neel (b) Farhan (c) Aditya (d) Ira
25. 25.17 June is a Monday. What day of the week is 17 July of the same year? (a) Tuesday (b) Wednesday (c) Thursday (d) Friday
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 2 ÷ 7 − 9?
27. 27.Four friends (Aisha, Ira, Karan and Riya) sit in a row. Left and right are as you look at them. Riya sits just to the right of Aisha. Riya sits at the right end. Karan sits next to both Ira and Aisha. Who sits just to the left of Karan? (a) Aisha (b) Ira (c) Riya (d) Karan
28. 28.A number machine multiplies a number by 2 and then takes away 3. Each output goes back in as the next input. Start with 5. What comes out after step 3?
29. 29.I am a 2-digit number. My digits add up to 10. If you swap my two digits, the new number is 54 more than me. What number am I?
30. 30.Five friends (Omkar, Riya, Rohan, Yash and Zoya) sit in a row. Left and right are as you look at them. Rohan sits somewhere to the left of Yash. Omkar sits just to the right of Yash. Yash sits somewhere to the left of Riya. Zoya sits next to both Rohan and Yash. Who sits in the middle? (a) Zoya (b) Omkar (c) Rohan (d) Yash
31. 31.Kavya, Aisha and Ishaan each have a bag of a different colour: yellow, blue or green. Ishaan’s bag is not blue. Kavya’s bag is not blue. Ishaan’s bag is not green. What colour is Aisha’s bag? (a) yellow (b) blue (c) green
32. 32.In a group of 45 children, 13 enjoy drawing, 25 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
33. 33.Manav is older than Isha. Isha is older than Tara. Tara is older than Arjun. Who is the oldest? (a) Arjun (b) Manav (c) Isha (d) Tara
34. 34.Find the missing number. The same rule works in every row or in every column.
    3 | 7 | 20
    4 | ? | 13
    7 | 9 | 33
35. 35.Ira is a girl. How is Ira’s mother’s brother related to Ira? (a) uncle (b) brother (c) cousin (d) grandfather
36. 36.Meera is a girl. How is Meera’s brother’s wife related to Meera? (a) aunt (b) sister-in-law (c) cousin (d) sister
37. 37.Is 2048 a leap year? (a) Yes (b) No
38. 38.Saanvi is shorter than Manav. Manav is shorter than Meera. Nisha is shorter than Saanvi. Who is the shortest? (a) Meera (b) Nisha (c) Saanvi (d) Manav
39. 39.Rule: If the shop is open, then Diya buys milk. Fact: Diya buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
40. 40.Runs scored in a cricket match: Yash 30, Nisha 14, Pooja 32, Neel 23, Meera 59. Who has the fewest runs? (a) Yash (b) Meera (c) Neel (d) Nisha

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