Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 210 · 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.Aisha walks 8 m East, then turns right and walks 6 m. How far is she from the starting point now, in a straight line (in m)?
2. 2.How many degrees does the hour hand of a clock turn in 107 minutes? =
3. 3.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   6 | 11 | 10
   13 | ? | 5
   8 | 7 | 12
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 19 ÷ 20 × 11?
5. 5.Pooja is a girl. How is Pooja’s father’s father’s only son’s son related to Pooja? (a) brother (b) uncle (c) father (d) cousin
6. 6.If SHIP is written as TIJQ, how is CAT written in the same code? (a) BZS (b) UBD (c) DBU (d) ECV
7. 7.Nisha is heavier than Ananya. Riya is lighter than Ananya. Karan is lighter than Riya. Who is the second heaviest? (a) Riya (b) Nisha (c) Karan (d) Ananya
8. 8.Rule: If Kabir finishes the homework, then Kabir goes to the park. Fact: Kabir goes to the park. What can you say about “Kabir finishes the homework”? (a) must be true (b) must be false (c) can't tell
9. 9.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
10. 10.Two standard dice show 3 and 2 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
11. 11.Statements: Some keys are boxes. All boxes are toys. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
12. 12.Which number is the odd one out: 45, 27, 99, 25? (a) 45 (b) 27 (c) 99 (d) 25
13. 13.Statements: All shoes are pens. No shoes are kites. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
14. 14.Karan is a boy. How is Karan’s father’s sister related to Karan? (a) aunt (b) mother (c) sister (d) cousin
15. 15.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: 24 63 96 81 16 62. After step 3, what is the 1st number from the left?
16. 16.Find the missing number. The same rule works in every row or in every column.
    3 | 2 | 11
    3 | ? | 7
    9 | 3 | 4
17. 17.Ishaan is a boy. How is Ishaan’s father’s sister’s husband related to Ishaan? (a) brother-in-law (b) uncle (c) father (d) grandfather
18. 18.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
19. 19.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) T (b) N (c) F (d) E
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 5 + 18 ÷ 14?
21. 21.A clock shows 1:25. What time will it show 116 minutes later? (a) 3:21 (b) 3:31 (c) 3:11 (d) 4:21
22. 22.Statements: No coins are books. No balls are books. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
23. 23.Diya is a girl. How is Diya’s mother’s father related to Diya? (a) grandson (b) father (c) grandfather (d) uncle
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 2 ÷ 2 × 14?
25. 25.27 April is a Thursday. What day of the week is 27 May of the same year? (a) Saturday (b) Friday (c) Monday (d) Sunday
26. 26.In a group of 33 children, 16 play cricket, 28 play football and 12 play both. How many play neither of the two?
27. 27.A clock shows 12:21. What time does it show in a mirror? (a) 10:39 (b) 12:21 (c) 11:39 (d) 12:39
28. 28.Three friends (Ishaan, Siddharth and Zoya) sit in a row. Left and right are as you look at them. Siddharth sits at the right end. Ishaan sits at the left end. Who sits in the middle? (a) Zoya (b) Siddharth (c) Ishaan
29. 29.Kabir is younger than Pooja. Manav is younger than Kabir. Manav is older than Diya. Who is the second oldest? (a) Diya (b) Pooja (c) Kabir (d) Manav
30. 30.Statements: All bags are caps. Some bags are bells. Conclusion: Some bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
31. 31.Ishaan is a boy. How is Ishaan’s father’s only son’s sister related to Ishaan? (a) cousin (b) aunt (c) mother (d) sister
32. 32.Two standard dice show 6 and 4 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
33. 33.Rohan walks 6 m North, then turns right and walks 8 m. How far is he from the starting point now, in a straight line (in m)?
34. 34.Books read in the summer holidays: Vivaan 21, Siddharth 25, Aarav 3, Rahul 29, Tara 13. Who has the most books? (a) Tara (b) Rahul (c) Aarav (d) Siddharth
35. 35.Which number is the odd one out: 97, 29, 18, 13? (a) 97 (b) 29 (c) 18 (d) 13
36. 36.Riya is facing South. She turns right, then turns right. Which direction is she facing now? (a) North (b) East (c) South (d) West
37. 37.What is the smaller angle between the hour hand and the minute hand at 9:45? (in degrees) =
38. 38.If BOOK is written as KOOB, how is LAMP written in the same code? (a) OLZK (b) QNBM (c) MBNQ (d) PMAL
39. 39.If PEN is written as NEP, how is TOYS written in the same code? (a) UPZT (b) RXNS (c) SYOT (d) TZPU
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 15 × 2 ÷ 9?

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