Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 56 · 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.In a group of 38 children, 15 like mangoes, 18 like bananas and 5 like both. How many like only mangoes?
2. 2.Four friends (Arjun, Ira, Priya and Riya) sit in a row. Left and right are as you look at them. Riya sits next to both Arjun and Ira. Ira sits at the right end. Who sits at the left end? (a) Priya (b) Riya (c) Arjun (d) Ira
3. 3.What is the smaller angle between the hour hand and the minute hand at 5:07? (in degrees) =
4. 4.Statements: No rings are pens. No pens are cups. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
5. 5.Karan, Vivaan and Kabir each have a bag of a different colour: white, yellow or red. Karan’s bag is not red. Karan’s bag is not yellow. Kabir’s bag is not yellow. What colour is Vivaan’s bag? (a) white (b) yellow (c) red
6. 6.Today is Saturday. What day of the week will it be 9 days from today? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
7. 7.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
8. 8.Kabir walks 5 m South, turns right and walks 4 m, then turns right again and walks 2 m. How far is he from the starting point now, in a straight line (in m)?
9. 9.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is not red”? (a) must be true (b) must be false (c) can't tell
10. 10.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 7. What comes out after step 2?
11. 11.In a group of 33 children, 15 like mangoes, 28 like bananas and 12 like both. How many like neither of the two?
12. 12.If FISH is written as GJTI, how is DRUM written in the same code? (a) FTWO (b) CQTL (c) NVSE (d) ESVN
13. 13.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
14. 14.Which number is the odd one out: 73, 57, 82, 3? (a) 73 (b) 57 (c) 82 (d) 3
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 11 ÷ 9 × 15?
16. 16.Each person always tells the truth or always lies. Kabir says: “Kavya and I are different kinds.” Kavya says: “Kabir tells the truth.” Ananya says: “Kavya is a liar.” Is Kabir a truth-teller or a liar? (a) truth-teller (b) liar
17. 17.Five friends (Aarav, Aisha, Isha, Ishaan and Omkar) sit in a row. Left and right are as you look at them. Isha sits just to the right of Aarav. Omkar sits at the right end. Aisha sits somewhere to the left of Isha. Aisha sits next to both Ishaan and Aarav. Who sits just to the right of Isha? (a) Ishaan (b) Omkar (c) Isha (d) Aisha
18. 18.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    9 | ? | 13
    19 | 15 | 11
    17 | 7 | 21
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 6 + 9 ÷ 17?
20. 20.Zoya is a girl. How is Zoya’s daughter’s husband related to Zoya? (a) son-in-law (b) nephew (c) brother-in-law (d) son
21. 21.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not stay green. What can you say about “The plant gets water”? (a) must be true (b) must be false (c) can't tell
22. 22.Runs scored in a cricket match: Aisha 13, Aditya 7, Omkar 30, Dev 25, Kavya 33. Who has the fewest runs? (a) Aditya (b) Dev (c) Aisha (d) Omkar
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: 96 95 56 93 35 13. After step 3, what is the 4th number from the left?
24. 24.Statements: Some keys are books. All books are rings. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
25. 25.Zoya runs faster than Nisha. Isha runs faster than Zoya. Who runs the slowest? (a) Isha (b) Nisha (c) Zoya
26. 26.If BELL is written as LLEB, how is FISH written in the same code? (a) ITJG (b) GJTI (c) GRHE (d) HSIF
27. 27.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira does not get a medal. What can you say about “Ira wins the match”? (a) must be true (b) must be false (c) can't tell
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 16 ÷ 18 + 5?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 5 ÷ 11 × 9?
30. 30.Nisha is a girl. How is Nisha’s brother’s son related to Nisha? (a) cousin (b) brother (c) son (d) nephew
31. 31.Today is Monday. What day of the week will it be 71 days from today? (a) Tuesday (b) Monday (c) Wednesday (d) Thursday
32. 32.Kavya is younger than Farhan. Kavya is older than Aisha. Who is the oldest? (a) Farhan (b) Aisha (c) Kavya
33. 33.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: 28 12 94 82 78 42. After step 3, what is the 2nd number from the left?
34. 34.Each person always tells the truth or always lies. Karan says: “Dev is a liar.” Dev says: “Karan and I are different kinds.” Yash says: “Karan is a liar.” Is Karan a truth-teller or a liar? (a) truth-teller (b) liar
35. 35.Find the missing number. The same rule works in every row or in every column.
    9 | 11 | 14
    17 | 3 | 15
    26 | ? | 29
36. 36.Three friends (Farhan, Kabir and Pooja) sit in a row. Left and right are as you look at them. Pooja sits just to the right of Farhan. Farhan sits next to both Kabir and Pooja. Who sits just to the right of Kabir? (a) Farhan (b) Pooja (c) Kabir
37. 37.The sum of three consecutive even numbers is 222. What is the largest of them?
38. 38.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    ? | 18 | 4
    6 | 10 | 14
    16 | 2 | 12
39. 39.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
40. 40.Kavya runs slower than Riya. Vivaan runs faster than Ishaan. Riya runs slower than Ishaan. Who runs the second fastest? (a) Riya (b) Ishaan (c) Kavya (d) Vivaan

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