Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 64 · 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 rains, then the road gets wet. Fact: It rains. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
2. 2.A wooden cube is painted on all six faces, then each edge is cut into 3 equal parts, making small cubes. How many small cubes have at least one painted face?
3. 3.Find the missing number. The same rule works in every row or in every column.
   ? | 5 | 18
   18 | 19 | 37
   2 | 17 | 19
4. 4.Which number is the odd one out: 43, 11, 59, 2? (a) 43 (b) 11 (c) 59 (d) 2
5. 5.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) Z (b) G (c) C (d) U
6. 6.Tara is a girl. How is Tara’s mother’s brother’s son related to Tara? (a) cousin (b) uncle (c) brother (d) nephew
7. 7.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have exactly two painted faces?
8. 8.How many degrees does the hour hand of a clock turn in 163 minutes? =
9. 9.Which number is the odd one out: 81, 31, 19, 47? (a) 81 (b) 31 (c) 19 (d) 47
10. 10.Three friends (Manav, Pooja and Priya) sit in a row. Left and right are as you look at them. Manav sits somewhere to the left of Pooja. Pooja sits at the right end. Priya sits next to both Manav and Pooja. Who sits just to the right of Priya? (a) Priya (b) Pooja (c) Manav
11. 11.Five friends (Dev, Meera, Nisha, Rahul and Yash) sit in a row. Left and right are as you look at them. Nisha sits next to both Rahul and Meera. Meera does not sit at either end. Yash sits somewhere to the left of Nisha. Nisha sits just to the right of Rahul. Who sits at the left end? (a) Dev (b) Yash (c) Meera (d) Rahul
12. 12.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have exactly one painted face?
13. 13.Two standard dice show 4 and 6 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
14. 14.Today is Thursday. What day of the week will it be 99 days from today? (a) Thursday (b) Sunday (c) Friday (d) Saturday
15. 15.14 April is a Saturday. What day of the week is 14 May of the same year? (a) Tuesday (b) Wednesday (c) Sunday (d) Monday
16. 16.A number machine multiplies a number by 2 and then adds 5. Each output goes back in as the next input. Start with 5. What comes out after step 3?
17. 17.Today is Saturday. What day of the week will it be 14 days from today? (a) Friday (b) Monday (c) Sunday (d) Saturday
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 2 ÷ 14 + 13?
19. 19.Omkar, Yash and Saanvi each play a different game: badminton, chess or carrom. Saanvi does not play carrom. Omkar does not play carrom. Saanvi does not play badminton. Which game does Saanvi play? (a) badminton (b) chess (c) carrom
20. 20.Nisha runs faster than Dev. Pooja runs faster than Nisha. Rahul runs faster than Pooja. Who runs the slowest? (a) Dev (b) Pooja (c) Rahul (d) Nisha
21. 21.A clock shows 2:00. What time will it show 19 minutes later? (a) 3:19 (b) 2:19 (c) 2:29 (d) 2:09
22. 22.Find the missing number. The same rule works in every row or in every column.
    5 | 11 | 6
    ? | 9 | 3
    24 | 20 | 9
23. 23.In a group of 44 children, 26 play cricket, 20 play football and 9 play both. How many play only cricket?
24. 24.In a group of 34 children, 17 enjoy drawing, 16 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
25. 25.Each person always tells the truth or always lies. Sneha says: “Ishaan and I are the same kind.” Ishaan says: “Sneha and I are different kinds.” Is Sneha a truth-teller or a liar? (a) truth-teller (b) liar
26. 26.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
27. 27.Is 2027 a leap year? (a) Yes (b) No
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 15 × 2 − 15?
29. 29.Saanvi, Rohan and Omkar each have a different pet: dog, cat or parrot. Rohan does not have the parrot. Omkar does not have the cat. Saanvi does not have the parrot. Saanvi does not have the cat. Which pet does Omkar have? (a) dog (b) cat (c) parrot
30. 30.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 2. What comes out after step 3?
31. 31.Rohan walks 11 m North, then turns left and walks 15 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
32. 32.Find the missing number. The same rule works in every row or in every column.
    ? | 4 | 10
    23 | 2 | 2
    2 | 19 | 6
33. 33.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
34. 34.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
35. 35.Riya, Saanvi and Farhan each play a different game: football, cricket or carrom. Saanvi does not play carrom. Farhan does not play carrom. Saanvi does not play cricket. Who plays cricket? (a) Riya (b) Saanvi (c) Farhan
36. 36.Myra walks 4 m West, then turns left and walks 3 m. How far is she from the starting point now, in a straight line (in m)?
37. 37.Which capital letter looks exactly the same in a mirror? (a) C (b) I (c) R (d) D
38. 38.If WIND is written as YKPF, how is LAMP written in the same code? (a) JYKN (b) MBNQ (c) ODPS (d) NCOR
39. 39.In a group of 40 children, 22 play chess, 26 play carrom and 10 play both. How many play only chess?
40. 40.Five friends (Arjun, Kabir, Neel, Rohan and Siddharth) sit in a row. Left and right are as you look at them. Kabir sits just to the right of Siddharth. Siddharth sits next to both Arjun and Kabir. Arjun sits next to both Neel and Siddharth. Siddharth sits somewhere to the left of Rohan. Who sits in the middle? (a) Arjun (b) Neel (c) Siddharth (d) Kabir

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