Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 628 · 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 clock shows 1:49. What time will it show 118 minutes later? (a) 3:47 (b) 3:37 (c) 4:47 (d) 3:57
2. 2.Kavya is a girl. How is Kavya’s brother’s wife related to Kavya? (a) cousin (b) sister-in-law (c) aunt (d) sister
3. 3.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   13 | ? | 9
   11 | 15 | 19
   21 | 7 | 17
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: 27 28 61 93 54 69. After step 2, what is the 1st number from the left?
5. 5.A clock shows 5:12. What time will it show 120 minutes later? (a) 7:02 (b) 7:12 (c) 7:22 (d) 8:12
6. 6.Statements: No kites are books. Some books are balls. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
7. 7.Neel is facing North. He turns left, then turns right, then turns around (a half turn), then turns left. Which direction is he facing now? (a) North (b) East (c) South (d) West
8. 8.Three friends (Ira, Neel and Priya) sit in a row. Left and right are as you look at them. Ira sits just to the right of Neel. Ira sits at the right end. Who sits just to the right of Priya? (a) Priya (b) Neel (c) Ira
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 12 + 15 − 15?
10. 10.Aditya is a boy. How is Aditya’s sister’s son related to Aditya? (a) nephew (b) cousin (c) brother (d) son
11. 11.The sum of three consecutive numbers is 132. What is the smallest of them?
12. 12.A number machine multiplies a number by 3 and then takes away 1. Each output goes back in as the next input. Start with 2. What comes out after step 2?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 8 × 10 ÷ 5?
14. 14.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: 70 97 14 44 76 67. After step 2, what is the 1st number from the left?
15. 15.What is the smaller angle between the hour hand and the minute hand at 7:11? (in degrees) =
16. 16.Two standard dice show 2 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
17. 17.Find the missing number. The same rule works in every row or in every column.
    2 | 3 | 5
    3 | 18 | 21
    ? | 2 | 19
18. 18.A clock shows 11:26. What time will it show 60 minutes later? (a) 1:26 (b) 12:16 (c) 12:26 (d) 12:36
19. 19.Books read in the summer holidays: Priya 19, Arjun 20, Isha 5, Omkar 21, Aisha 3. What is the total for all five children?
20. 20.Find the missing number. The same rule works in every row or in every column.
    4 | ? | 8
    2 | 2 | 4
    4 | 3 | 12
21. 21.Meera is a girl. How is Meera’s father’s father’s only son’s son related to Meera? (a) uncle (b) cousin (c) brother (d) father
22. 22.Siddharth is a boy. How is Siddharth’s father’s only son’s sister related to Siddharth? (a) mother (b) sister (c) cousin (d) aunt
23. 23.Find the missing number. The same rule works in every row or in every column.
    2 | ? | 6
    9 | 2 | 18
    3 | 6 | 18
24. 24.Find the missing number. The same rule works in every row or in every column.
    7 | 4 | 5
    15 | 16 | 11
    22 | 20 | ?
25. 25.Which number is the odd one out: 65, 4, 64, 16? (a) 65 (b) 4 (c) 64 (d) 16
26. 26.Each person always tells the truth or always lies. Saanvi says: “Aditya and I are the same kind.” Aditya says: “At least one of us two, Saanvi or I, is a liar.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
27. 27.How many degrees does the hour hand of a clock turn in 135 minutes? =
28. 28.Aisha runs slower than Nisha. Nisha runs slower than Omkar. Who runs the slowest? (a) Nisha (b) Aisha (c) Omkar
29. 29.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
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 8 ÷ 7 + 3?
31. 31.Ananya is a girl. How is Ananya’s son’s son related to Ananya? (a) brother (b) grandson (c) nephew (d) son
32. 32.Neel is younger than Myra. Aisha is younger than Neel. Aisha is older than Dev. Who is the second oldest? (a) Aisha (b) Myra (c) Neel (d) Dev
33. 33.Zoya is a girl. How is Zoya’s father’s father’s only son’s son related to Zoya? (a) cousin (b) uncle (c) brother (d) father
34. 34.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: 99 25 45 34 82 15. After step 4, what is the 1st number from the left?
35. 35.Five friends (Ananya, Ishaan, Karan, Priya and Zoya) sit in a row. Left and right are as you look at them. Zoya sits next to both Karan and Priya. Karan sits next to both Ishaan and Zoya. Karan sits somewhere to the left of Priya. Priya does not sit at either end. Who sits at the right end? (a) Karan (b) Priya (c) Ishaan (d) Ananya
36. 36.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
37. 37.Five friends (Dev, Ira, Isha, Manav and Priya) sit in a row. Left and right are as you look at them. Ira does not sit at either end. Isha sits somewhere to the left of Dev. Dev sits next to both Ira and Priya. Manav sits at the right end. Ira sits just to the right of Isha. Who sits just to the right of Ira? (a) Isha (b) Manav (c) Dev (d) Priya
38. 38.Steps climbed in a minute: Ishaan 42, Siddharth 77, Aditya 90, Yash 63, Diya 87. How many children have more than 77 steps?
39. 39.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    28 | ? | 16
    13 | 25 | 37
    34 | 19 | 22
40. 40.Priya is shorter than Ira. Arjun is shorter than Priya. Ishaan is shorter than Arjun. Who is the second shortest? (a) Ira (b) Priya (c) Ishaan (d) Arjun

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