Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 370 · 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 2 × 18 ÷ 13 + 4?
2. 2.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
3. 3.A clock shows 10:21. What time does it show in a mirror? (a) 1:39 (b) 12:39 (c) 2:21 (d) 2:39
4. 4.Which number is the odd one out: 52, 41, 11, 17? (a) 52 (b) 41 (c) 11 (d) 17
5. 5.Find the missing number. The same rule works in every row or in every column.
   11 | 1 | 1
   7 | 1 | 5
   4 | ? | 3
6. 6.Three friends (Karan, Meera and Myra) sit in a row. Left and right are as you look at them. Myra sits at the right end. Myra sits just to the right of Karan. Who sits at the left end? (a) Meera (b) Karan (c) Myra
7. 7.Rohan is shorter than Vivaan. Vivaan is shorter than Arjun. Who is the second shortest? (a) Vivaan (b) Rohan (c) Arjun
8. 8.A clock shows 5:01. What time does it show in a mirror? (a) 7:59 (b) 6:59 (c) 5:59 (d) 7:01
9. 9.If SUN is written as VXQ, how is LION written in the same code? (a) IFLK (b) PMSR (c) OLRQ (d) NKQP
10. 10.Aarav walks 14 m East, then turns around and walks 5 m. How far is he from the starting point now (in m)?
11. 11.What is the smaller angle between the hour hand and the minute hand at 9:49? (in degrees) =
12. 12.In a group of 40 children, 13 like mangoes, 25 like bananas and 5 like both. How many like only mangoes?
13. 13.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have at least one painted face?
14. 14.Saanvi is a girl. How is Saanvi’s son’s son related to Saanvi? (a) brother (b) grandson (c) nephew (d) son
15. 15.Two standard dice show 1 and 2 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
16. 16.Rohan, Farhan and Ishaan each have a different pet: parrot, dog or rabbit. Rohan does not have the parrot. Farhan does not have the dog. Farhan does not have the rabbit. Ishaan does not have the rabbit. Who has the parrot? (a) Rohan (b) Farhan (c) Ishaan
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 6 ÷ 10 − 5?
18. 18.Statements: All bells are keys. All kites are bells. Conclusion: Some kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
19. 19.Yash is a boy. How is Yash’s mother’s father related to Yash? (a) grandfather (b) uncle (c) father (d) grandson
20. 20.Which number is the odd one out: 71, 15, 19, 59? (a) 71 (b) 15 (c) 19 (d) 59
21. 21.Four friends (Isha, Pooja, Vivaan and Yash) sit in a row. Left and right are as you look at them. Vivaan sits just to the right of Pooja. Yash sits at the left end. Isha sits just to the right of Yash. Who sits at the right end? (a) Isha (b) Vivaan (c) Yash (d) Pooja
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 6 ÷ 18 − 20?
23. 23.Which number is the odd one out: 59, 17, 44, 97? (a) 59 (b) 17 (c) 44 (d) 97
24. 24.If BOAT is written as ERDW, how is DOG written in the same code? (a) HSK (b) GRJ (c) FQI (d) ALD
25. 25.Find the missing number. The same rule works in every row or in every column.
    12 | ? | 32
    10 | 9 | 19
    12 | 4 | 16
26. 26.Isha, Manav and Vivaan each have a bag of a different colour: white, yellow or green. Isha’s bag is not white. Vivaan’s bag is not white. Isha’s bag is not yellow. What colour is Isha’s bag? (a) white (b) yellow (c) green
27. 27.Nisha, Zoya and Kavya each have a different pet: rabbit, tortoise or parrot. Zoya does not have the parrot. Kavya does not have the tortoise. Nisha does not have the tortoise. Kavya does not have the rabbit. Which pet does Nisha have? (a) rabbit (b) tortoise (c) parrot
28. 28.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have exactly three painted faces?
29. 29.Karan, Tara and Rahul each have a different pet: cat, dog or rabbit. Tara does not have the rabbit. Rahul does not have the cat. Tara does not have the cat. Which pet does Karan have? (a) cat (b) dog (c) rabbit
30. 30.Vivaan, Ira and Sneha each have a different pet: cat, rabbit or dog. Vivaan does not have the dog. Ira does not have the dog. Ira does not have the cat. Which pet does Sneha have? (a) cat (b) rabbit (c) dog
31. 31.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
32. 32.Two standard dice show 4 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
33. 33.On a standard dice, opposite faces add up to 7. The dice shows 6 on top. What number is on the bottom face?
34. 34.Statements: All pens are bells. No caps are bells. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
35. 35.Which capital letter does NOT look the same in a mirror? (a) Y (b) X (c) L (d) H
36. 36.Statements: All balls are cups. Some balls are caps. Conclusion: Some caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
37. 37.Is 1990 a leap year? (a) Yes (b) No
38. 38.I am a 2-digit number. My digits add up to 11. If you swap my two digits, the new number is 9 more than me. What number am I?
39. 39.Kites flown at Makar Sankranti: Saanvi 12, Manav 3, Kabir 16, Zoya 21, Riya 11. What is the difference between the highest and the lowest?
40. 40.Each person always tells the truth or always lies. Arjun says: “Yash is a liar.” Yash says: “Arjun and I are the same kind.” Is Yash a truth-teller or a liar? (a) truth-teller (b) liar

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