Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 461 · 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.Find the missing number. The same rule works in every row or in every column.
   3 | 5 | 15
   3 | 3 | ?
   4 | 2 | 8
2. 2.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: 18 16 48 29 69 61. After step 4, what is the 2nd number from the left?
3. 3.Meera walks 15 m North, then turns right and walks 7 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
4. 4.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   18 | 28 | 14
   16 | 20 | 24
   ? | 12 | 22
5. 5.If SHIP is written as PIHS, how is SUN written in the same code? (a) OVT (b) TVO (c) NUS (d) MTR
6. 6.Two standard dice show 1 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
7. 7.A clock shows 12:16. What time will it show 156 minutes later? (a) 3:52 (b) 3:02 (c) 2:42 (d) 2:52
8. 8.Omkar, Kabir and Nisha each play a different game: cricket, badminton or chess. Kabir does not play chess. Kabir does not play badminton. Nisha does not play badminton. Which game does Nisha play? (a) cricket (b) badminton (c) chess
9. 9.Today is Wednesday. What day of the week will it be 11 days from today? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
10. 10.Books read in the summer holidays: Arjun 9, Aisha 11, Priya 19, Neel 4, Omkar 17. How many more books does Aisha have than Arjun?
11. 11.Meera is older than Vivaan. Tara is younger than Vivaan. Who is the second oldest? (a) Vivaan (b) Meera (c) Tara
12. 12.Which number is the odd one out: 95, 27, 55, 85? (a) 95 (b) 27 (c) 55 (d) 85
13. 13.Three friends (Aditya, Omkar and Saanvi) sit in a row. Left and right are as you look at them. Omkar does not sit at either end. Saanvi sits at the right end. Who sits at the left end? (a) Saanvi (b) Omkar (c) Aditya
14. 14.Find the missing number. The same rule works in every row or in every column.
    10 | 3 | 13
    15 | 13 | 28
    15 | 1 | ?
15. 15.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have exactly one painted face?
16. 16.Which number is the odd one out: 72, 32, 36, 16? (a) 72 (b) 32 (c) 36 (d) 16
17. 17.Which capital letter looks exactly the same in a mirror? (a) K (b) M (c) J (d) Q
18. 18.Sneha is facing East. She turns right, then turns left, then turns right, then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
19. 19.I am a 2-digit number. My digits add up to 15. If you swap my two digits, the new number is 27 more than me. What number am I?
20. 20.Aarav runs faster than Manav. Karan runs faster than Aarav. Who runs the fastest? (a) Manav (b) Aarav (c) Karan
21. 21.In a group of 44 children, 17 play chess, 28 play carrom and 9 play both. How many play exactly one of the two?
22. 22.If HAND is written as IBOE, how is LION written in the same code? (a) OPJM (b) MJPO (c) KHNM (d) NKQP
23. 23.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?
24. 24.Omkar, Isha and Karan each have a different pet: tortoise, rabbit or cat. Karan does not have the cat. Omkar does not have the tortoise. Karan does not have the rabbit. Omkar does not have the rabbit. Who has the cat? (a) Omkar (b) Isha (c) Karan
25. 25.What is the smaller angle between the hour hand and the minute hand at 10:53? (in degrees) =
26. 26.Which number is the odd one out: 95, 69, 87, 75? (a) 95 (b) 69 (c) 87 (d) 75
27. 27.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
28. 28.Dev is lighter than Neel. Meera is heavier than Neel. Who is the second lightest? (a) Dev (b) Meera (c) Neel
29. 29.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan finishes the homework. What can you say about “Karan does not go to the park”? (a) must be true (b) must be false (c) can't tell
30. 30.Siddharth walks 8 m West, then turns right and walks 15 m. How far is he from the starting point now, in a straight line (in m)?
31. 31.Each person always tells the truth or always lies. Kabir says: “Ishaan is a liar.” Ishaan says: “Kabir and I are different kinds.” Is Kabir a truth-teller or a liar? (a) truth-teller (b) liar
32. 32.Isha runs faster than Aarav. Aarav runs faster than Rohan. Who runs the second slowest? (a) Aarav (b) Rohan (c) Isha
33. 33.Kabir walks 19 m North, then turns around and walks 5 m. How far is he from the starting point now (in m)?
34. 34.Statements: Some balls are kites. All balls are keys. Conclusion: Some kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
35. 35.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?
36. 36.Statements: Some kites are books. Some books are balls. Conclusion: No balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
37. 37.In a group of 25 children, 11 play chess, 14 play carrom and 5 play both. How many play exactly one of the two?
38. 38.Each person always tells the truth or always lies. Ira says: “Isha and I are the same kind.” Isha says: “Arjun and I are different kinds.” Arjun says: “Ira is a liar.” Is Ira a truth-teller or a liar? (a) truth-teller (b) liar
39. 39.Four friends (Aditya, Farhan, Meera and Myra) sit in a row. Left and right are as you look at them. Myra sits at the right end. Aditya sits just to the right of Meera. Aditya sits next to both Meera and Farhan. Who sits at the left end? (a) Farhan (b) Meera (c) Myra (d) Aditya
40. 40.Each person always tells the truth or always lies. Sneha says: “Dev is a liar.” Dev says: “Sneha and I are different kinds.” Is Sneha a truth-teller or a liar? (a) truth-teller (b) liar

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