Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 441 · 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 20 ÷ 13 − 7 + 2?
2. 2.Statements: No shoes are balls. Some toys are balls. Conclusion: Some shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
3. 3.A wooden cube is painted on all six faces, then each edge is cut into 6 equal parts, making small cubes. How many small cubes have at least one painted face?
4. 4.If TREE is written as VTGG, how is CAT written in the same code? (a) DBU (b) AYR (c) ECV (d) FDW
5. 5.Rule: If Isha wins the match, then Isha gets a medal. Fact: Isha wins the match. What can you say about “Isha does not get a medal”? (a) must be true (b) must be false (c) can't tell
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 5 × 12 ÷ 2?
7. 7.Zoya is facing North. She turns left, then turns left, then turns right, then turns right. Which direction is she facing now? (a) North (b) East (c) South (d) West
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 15 − 5 × 11 ÷ 19?
9. 9.Which capital letter looks exactly the same in a mirror? (a) R (b) Z (c) A (d) G
10. 10.On a standard dice, opposite faces add up to 7. The dice shows 6 on top. What number is on the bottom face?
11. 11.If CAT is written as XZG, how is RAIN written in the same code? (a) JASN (b) SBJO (c) HYQL (d) IZRM
12. 12.Kites flown at Makar Sankranti: Aarav 23, Kabir 6, Rahul 2, Priya 11, Aisha 13. Who has the most kites? (a) Kabir (b) Aisha (c) Priya (d) Aarav
13. 13.Each person always tells the truth or always lies. Meera says: “Pooja is a liar.” Pooja says: “Meera and I are the same kind.” Is Meera a truth-teller or a liar? (a) truth-teller (b) liar
14. 14.How many degrees does the hour hand of a clock turn in 118 minutes? =
15. 15.Find the missing number. The same rule works in every row or in every column.
    8 | 6 | 9
    6 | ? | 12
    1 | 20 | 2
16. 16.Today is Thursday. What day of the week will it be 34 days from today? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
17. 17.Statements: All bells are balls. No kites are bells. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
18. 18.Statements: No pens are coins. Some bells are coins. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
19. 19.In a group of 42 children, 22 enjoy drawing, 21 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
20. 20.Zoya is older than Pooja. Zoya is younger than Neel. Pooja is older than Rahul. Who is the second youngest? (a) Neel (b) Zoya (c) Rahul (d) Pooja
21. 21.Rahul, Ira and Diya each have a different pet: rabbit, dog or cat. Diya does not have the cat. Rahul does not have the rabbit. Rahul does not have the dog. Diya does not have the dog. Who has the rabbit? (a) Rahul (b) Ira (c) Diya
22. 22.Three friends (Aisha, Rohan and Vivaan) sit in a row. Left and right are as you look at them. Vivaan sits at the right end. Rohan does not sit at either end. Who sits just to the right of Rohan? (a) Aisha (b) Rohan (c) Vivaan
23. 23.Which number is the odd one out: 70, 59, 97, 65? (a) 70 (b) 59 (c) 97 (d) 65
24. 24.Which number is the odd one out: 83, 67, 97, 63? (a) 83 (b) 67 (c) 97 (d) 63
25. 25.Is 2047 a leap year? (a) Yes (b) No
26. 26.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    22 | 12 | 26
    24 | ? | 16
    14 | 28 | 18
27. 27.Each person always tells the truth or always lies. Pooja says: “Ira and I are the same kind.” Ira says: “Saanvi tells the truth.” Saanvi says: “Pooja and I are the same kind.” Is Saanvi a truth-teller or a liar? (a) truth-teller (b) liar
28. 28.Meera, Kabir and Rohan each play a different game: chess, badminton or football. Rohan does not play chess. Meera does not play badminton. Kabir does not play football. Rohan does not play badminton. Which game does Meera play? (a) chess (b) badminton (c) football
29. 29.1 January 2033 is a Saturday. What day of the week is 16 May 2033? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
30. 30.Which number is the odd one out: 2, 53, 73, 70? (a) 2 (b) 53 (c) 73 (d) 70
31. 31.If KITE is written as ETIK, how is COLD written in the same code? (a) EMPD (b) CKNB (c) DPME (d) DLOC
32. 32.Which number is the odd one out: 18, 13, 2, 19? (a) 18 (b) 13 (c) 2 (d) 19
33. 33.Each person always tells the truth or always lies. Myra says: “Aarav and I both tell the truth.” Aarav says: “Myra and I are the same kind.” Is Myra a truth-teller or a liar? (a) truth-teller (b) liar
34. 34.In a group of 29 children, 23 like mangoes, 9 like bananas and 5 like both. How many like exactly one of the two?
35. 35.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
36. 36.Arjun is a boy. How is Arjun’s father’s only son’s sister related to Arjun? (a) aunt (b) mother (c) cousin (d) sister
37. 37.Karan is a boy. How is Karan’s son’s son related to Karan? (a) son (b) nephew (c) brother (d) grandson
38. 38.Find the missing number. The same rule works in every row or in every column.
    12 | 17 | 29
    10 | 2 | 12
    18 | ? | 34
39. 39.Find the missing number. The same rule works in every row or in every column.
    ? | 11 | 17
    20 | 16 | 36
    15 | 11 | 26
40. 40.What is the smaller angle between the hour hand and the minute hand at 2:21? (in degrees) =

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