Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 144 · 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 it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
2. 2.I am a 2-digit number. My digits add up to 3 and my tens digit is 3 more than my ones digit. What number am I?
3. 3.Which number is the odd one out: 79, 67, 71, 88? (a) 79 (b) 67 (c) 71 (d) 88
4. 4.Yash is a boy. How is Yash’s mother’s only daughter related to Yash? (a) aunt (b) mother (c) sister (d) niece
5. 5.Find the missing number. The same rule works in every row or in every column.
   3 | 9 | 27
   2 | ? | 16
   6 | 3 | 18
6. 6.If DRUM is written as WIFN, how is FROG written in the same code? (a) UILT (b) GSPH (c) THKS (d) VJMU
7. 7.Each person always tells the truth or always lies. Isha says: “Ishaan and I are the same kind.” Ishaan says: “Isha and I are different kinds.” Is Ishaan a truth-teller or a liar? (a) truth-teller (b) liar
8. 8.Vivaan is older than Siddharth. Dev is younger than Siddharth. Who is the oldest? (a) Siddharth (b) Dev (c) Vivaan
9. 9.Tara is younger than Aarav. Tara is older than Neel. Who is the youngest? (a) Aarav (b) Tara (c) Neel
10. 10.In a group of 32 children, 9 enjoy drawing, 12 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
11. 11.Steps climbed in a minute: Farhan 70, Arjun 67, Kabir 51, Aditya 41, Ira 75. How many children have more than 46 steps?
12. 12.A clock shows 9:01. What time does it show in a mirror? (a) 2:59 (b) 3:01 (c) 1:59 (d) 3:59
13. 13.If TOYS is written as VQAU, how is SUN written in the same code? (a) TVO (b) UWP (c) VXQ (d) QSL
14. 14.Which number is the odd one out: 97, 17, 16, 43? (a) 97 (b) 17 (c) 16 (d) 43
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 4 − 15 + 15?
16. 16.In a group of 30 children, 12 like mangoes, 17 like bananas and 3 like both. How many like only mangoes?
17. 17.Kabir is a boy. How is Kabir’s mother’s mother related to Kabir? (a) aunt (b) grandmother (c) mother (d) sister
18. 18.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: 43 92 59 10 53 95. After step 4, what is the 4th number from the left?
19. 19.Find the missing number. The same rule works in every row or in every column.
    3 | 11 | ?
    12 | 14 | 26
    3 | 19 | 22
20. 20.Vivaan walks 13 m West, then turns right and walks 3 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
21. 21.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    10 | ? | 8
    9 | 11 | 13
    14 | 7 | 12
22. 22.Which capital letter does NOT look the same in a mirror? (a) U (b) K (c) M (d) W
23. 23.On a standard dice, opposite faces add up to 7. The dice shows 2 on top. What number is on the bottom face?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 14 ÷ 15 + 12?
25. 25.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: 12 25 63 54 26 86. After step 4, what is the 4th number from the left?
26. 26.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    15 | 8 | 13
    ? | 12 | 14
    11 | 16 | 9
27. 27.Statements: All balls are books. All coins are balls. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
28. 28.Which number is the odd one out: 66, 43, 71, 13? (a) 66 (b) 43 (c) 71 (d) 13
29. 29.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: 41 86 29 34 62 60. After step 4, what is the 3rd number from the left?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 16 × 16 ÷ 3?
31. 31.Yash is a boy. How is Yash’s sister’s son related to Yash? (a) brother (b) nephew (c) cousin (d) son
32. 32.In a group of 34 children, 15 sing Hindi songs, 16 sing English songs and 3 sing both. How many sing exactly one of the two?
33. 33.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?
34. 34.Isha is facing South. She turns right, then turns left, then turns around (a half turn), then turns right. Which direction is she facing now? (a) North (b) East (c) South (d) West
35. 35.In a group of 40 children, 9 play cricket, 25 play football and 5 play both. How many play at least one of the two?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 10 × 7 + 6?
37. 37.Siddharth walks 8 m West, then turns around and walks 6 m. How far is he from the starting point now (in m)?
38. 38.Statements: All pens are books. Some keys are books. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
39. 39.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: 32 59 17 90 41 53. After step 3, what is the 4th number from the left?
40. 40.Find the missing number. The same rule works in every row or in every column.
    ? | 7 | 13
    6 | 5 | 11
    16 | 12 | 24

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