Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 940 · 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.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
2. 2.Is 2001 a leap year? (a) Yes (b) No
3. 3.Omkar is a boy. How is Omkar’s sister’s daughter related to Omkar? (a) daughter (b) sister (c) aunt (d) niece
4. 4.Which number is the odd one out: 2, 50, 89, 83? (a) 2 (b) 50 (c) 89 (d) 83
5. 5.Is 2028 a leap year? (a) Yes (b) No
6. 6.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   18 | 16 | 26
   28 | 20 | 12
   ? | 24 | 22
7. 7.I am a 2-digit number. My digits add up to 8 and my tens digit is 2 more than my ones digit. What number am I?
8. 8.Saanvi, Ishaan and Aisha each have a bag of a different colour: yellow, green or red. Saanvi’s bag is not green. Aisha’s bag is not green. Aisha’s bag is not yellow. What colour is Ishaan’s bag? (a) yellow (b) green (c) red
9. 9.Arjun walks 13 m South, turns right and walks 9 m, then turns right again and walks 1 m. How far is he from the starting point now, in a straight line (in m)?
10. 10.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
11. 11.A clock shows 9:17. What time will it show 54 minutes later? (a) 10:01 (b) 10:11 (c) 11:11 (d) 10:21
12. 12.Each person always tells the truth or always lies. Ishaan says: “Yash and I are the same kind.” Yash says: “At least one of us two, Ishaan or I, is a liar.” Is Ishaan a truth-teller or a liar? (a) truth-teller (b) liar
13. 13.Find the missing number. The same rule works in every row or in every column.
    ? | 19 | 12
    8 | 13 | 3
    20 | 32 | 15
14. 14.Kabir, Aisha and Arjun each have a bag of a different colour: red, yellow or white. Arjun’s bag is not red. Aisha’s bag is not red. Arjun’s bag is not yellow. Whose bag is yellow? (a) Kabir (b) Aisha (c) Arjun
15. 15.In a group of 36 children, 26 enjoy drawing, 11 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
16. 16.Karan is younger than Tara. Tara is younger than Meera. Who is the second youngest? (a) Karan (b) Tara (c) Meera
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 14 ÷ 6 × 5?
18. 18.Kites flown at Makar Sankranti: Tara 23, Rohan 9, Aditya 5, Isha 25, Dev 10. What is the total for all five children?
19. 19.Ira walks 13 m West, turns right and walks 6 m, then turns right again and walks 5 m. How far is she from the starting point now, in a straight line (in m)?
20. 20.In a group of 38 children, 18 like mangoes, 14 like bananas and 3 like both. How many like only mangoes?
21. 21.Kavya walks 8 m North, then turns right and walks 15 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
22. 22.Yash walks 5 m East, then turns left and walks 13 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
23. 23.Each person always tells the truth or always lies. Kavya says: “Siddharth and I are the same kind.” Siddharth says: “Kavya is a liar.” Is Kavya a truth-teller or a liar? (a) truth-teller (b) liar
24. 24.Which number is the odd one out: 20, 73, 89, 31? (a) 20 (b) 73 (c) 89 (d) 31
25. 25.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 2. What comes out after step 3?
26. 26.Which number is the odd one out: 42, 59, 83, 73? (a) 42 (b) 59 (c) 83 (d) 73
27. 27.Kabir, Vivaan and Nisha each play a different game: football, badminton or chess. Nisha does not play badminton. Nisha does not play chess. Kabir does not play badminton. Which game does Kabir play? (a) football (b) badminton (c) chess
28. 28.Yash walks 30 m West, then turns around and walks 6 m. How far is he from the starting point now (in m)?
29. 29.Aisha is facing North. She turns around (a half turn), then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
30. 30.Myra is a girl. How is Myra’s father’s sister’s husband related to Myra? (a) grandfather (b) brother-in-law (c) uncle (d) father
31. 31.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: 90 85 70 52 77 94. After step 4, what is the 1st number from the left?
32. 32.In a group of 32 grown-ups, 21 drink tea, 6 drink coffee and 3 drink both. How many drink exactly one of the two?
33. 33.In a group of 44 children, 28 play chess, 24 play carrom and 9 play both. How many play exactly one of the two?
34. 34.Which capital letter looks exactly the same in a mirror? (a) C (b) I (c) F (d) D
35. 35.I am a 2-digit number. My digits add up to 8 and my tens digit is 6 more than my ones digit. What number am I?
36. 36.Priya, Yash and Saanvi each have a bag of a different colour: white, green or yellow. Yash’s bag is not white. Priya’s bag is not yellow. Yash’s bag is not yellow. Whose bag is green? (a) Priya (b) Yash (c) Saanvi
37. 37.Rule: If the shop is open, then Ira buys milk. Fact: Ira does not buy milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
38. 38.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: 65 71 27 74 11 10. After step 3, what is the 1st number from the left?
39. 39.In a group of 20 children, 8 play cricket, 15 play football and 4 play both. How many play at least one of the two?
40. 40.Which capital letter looks exactly the same in a mirror? (a) K (b) A (c) S (d) B

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