Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 270 · 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 2 + 6 ÷ 4 × 2?
2. 2.How many degrees does the minute hand of a clock turn in 9 minutes? =
3. 3.Farhan, Manav and Ira each play a different game: cricket, chess or badminton. Ira does not play badminton. Farhan does not play chess. Farhan does not play badminton. Which game does Ira play? (a) cricket (b) chess (c) badminton
4. 4.Rahul, Pooja and Riya each have a bag of a different colour: green, white or red. Rahul’s bag is not white. Rahul’s bag is not red. Pooja’s bag is not red. Whose bag is green? (a) Rahul (b) Pooja (c) Riya
5. 5.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
6. 6.I am a 2-digit number. My digits add up to 15. If you swap my two digits, the new number is 27 more than me. What number am I?
7. 7.A clock shows 7:30. What time will it show 116 minutes later? (a) 10:26 (b) 9:16 (c) 9:26 (d) 9:36
8. 8.Find the missing number. The same rule works in every row or in every column.
   5 | ? | 10
   6 | 2 | 12
   2 | 4 | 8
9. 9.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 7. What comes out after step 2?
10. 10.Runs scored in a cricket match: Neel 33, Rohan 26, Yash 28, Saanvi 5, Vivaan 35. What is the total for all five children?
11. 11.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
12. 12.Which number is the odd one out: 21, 29, 42, 73? (a) 21 (b) 29 (c) 42 (d) 73
13. 13.Aditya, Sneha and Priya each have a bag of a different colour: red, yellow or green. Sneha’s bag is not yellow. Aditya’s bag is not green. Sneha’s bag is not red. Aditya’s bag is not yellow. What colour is Sneha’s bag? (a) red (b) yellow (c) green
14. 14.A clock shows 12:57. What time will it show 150 minutes later? (a) 4:27 (b) 3:17 (c) 3:37 (d) 3:27
15. 15.Statements: No toys are cups. No toys are caps. Conclusion: Some cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
16. 16.In a group of 37 children, 17 play cricket, 19 play football and 4 play both. How many play only cricket?
17. 17.Books read in the summer holidays: Omkar 15, Ananya 14, Sneha 9, Priya 27, Kabir 30. What is the total for all five children?
18. 18.Each person always tells the truth or always lies. Ananya says: “Nisha and I are the same kind.” Nisha says: “Ananya and I are the same kind.” Is Ananya a truth-teller or a liar? (a) truth-teller (b) liar
19. 19.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 6. What comes out after step 3?
20. 20.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
21. 21.Which number is the odd one out: 83, 73, 61, 65? (a) 83 (b) 73 (c) 61 (d) 65
22. 22.Which number is the odd one out: 31, 28, 29, 61? (a) 31 (b) 28 (c) 29 (d) 61
23. 23.Today is Friday. What day of the week will it be 55 days from today? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
24. 24.Which number is the odd one out: 16, 2, 61, 37? (a) 16 (b) 2 (c) 61 (d) 37
25. 25.Three friends (Dev, Kavya and Neel) sit in a row. Left and right are as you look at them. Kavya does not sit at either end. Kavya sits just to the right of Dev. Who sits at the right end? (a) Neel (b) Dev (c) Kavya
26. 26.Which number is the odd one out: 41, 43, 53, 65? (a) 41 (b) 43 (c) 53 (d) 65
27. 27.If GOLD is written as FNQI, how is CAKE written in the same code? (a) GMCE (b) CIYA (c) ECMG (d) EKAC
28. 28.Which number is the odd one out: 79, 89, 35, 7? (a) 79 (b) 89 (c) 35 (d) 7
29. 29.The sum of three consecutive numbers is 81. What is the largest of them?
30. 30.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is not red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
31. 31.If MILK is written as MNKO, how is FROG written in the same code? (a) EMPD (b) GORF (c) IQTH (d) HTQI
32. 32.Each person always tells the truth or always lies. Farhan says: “Yash and I are the same kind.” Yash says: “Farhan is a liar.” Is Farhan a truth-teller or a liar? (a) truth-teller (b) liar
33. 33.The sum of three consecutive even numbers is 54. What is the largest of them?
34. 34.Runs scored in a cricket match: Manav 18, Arjun 24, Ishaan 11, Rahul 41, Ananya 36. Who has the most runs? (a) Rahul (b) Manav (c) Ishaan (d) Arjun
35. 35.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: 85 48 60 26 96 13. After step 4, what is the 5th number from the left?
36. 36.Siddharth is taller than Neel. Rahul is shorter than Neel. Aarav is shorter than Rahul. Who is the second shortest? (a) Aarav (b) Neel (c) Rahul (d) Siddharth
37. 37.Statements: No cups are keys. All caps are keys. Conclusion: Some caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
38. 38.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    13 | 10 | 25
    28 | 16 | 4
    7 | ? | 19
39. 39.In a group of 24 grown-ups, 10 drink tea, 12 drink coffee and 6 drink both. How many drink only coffee?
40. 40.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 3. What comes out after step 3?

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