Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 905 · 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.In a group of 35 children, 22 sing Hindi songs, 17 sing English songs and 12 sing both. How many sing only Hindi songs?
2. 2.On a standard dice, opposite faces add up to 7. The dice shows 2 on top. What number is on the bottom face?
3. 3.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) E (b) F (c) S (d) T
4. 4.A clock shows 5:55. What time does it show in a mirror? (a) 7:05 (b) 5:05 (c) 7:55 (d) 6:05
5. 5.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   ? | 21 | 18
   27 | 15 | 3
   12 | 9 | 24
6. 6.Rule: If Aditya wins the match, then Aditya gets a medal. Fact: Aditya gets a medal. What can you say about “Aditya does not win the match”? (a) must be true (b) must be false (c) can't tell
7. 7.Books read in the summer holidays: Priya 28, Kabir 3, Diya 22, Kavya 17, Aarav 20. How many children have more than 17 books?
8. 8.In a group of 43 grown-ups, 14 drink tea, 23 drink coffee and 6 drink both. How many drink neither of the two?
9. 9.If TOYS is written as UAQV, how is TREE written in the same code? (a) CCPR (b) EERT (c) VTGG (d) GGTV
10. 10.Statements: No coins are keys. No boxes are coins. Conclusion: No keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 14 − 19 ÷ 6?
12. 12.I am a 2-digit number. My digits add up to 17. If you swap my two digits, the new number is 9 more than me. What number am I?
13. 13.Today is Saturday. What day of the week will it be 35 days from today? (a) Saturday (b) Friday (c) Sunday (d) Monday
14. 14.Statements: All pens are books. All books are coins. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
15. 15.1 March is a Friday. What day of the week is 1 April of the same year? (a) Monday (b) Sunday (c) Wednesday (d) Tuesday
16. 16.Steps climbed in a minute: Kavya 31, Diya 50, Omkar 83, Riya 21, Neel 40. What is the total for all five children?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 4 ÷ 18 + 12?
18. 18.Today is Monday. What day of the week will it be 17 days from today? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
19. 19.In a group of 47 children, 19 play cricket, 23 play football and 10 play both. How many play at least one of the two?
20. 20.1 January 2031 is a Wednesday. What day of the week is 11 March 2031? (a) Wednesday (b) Tuesday (c) Thursday (d) Monday
21. 21.Neel, Ishaan and Yash each play a different game: badminton, carrom or cricket. Neel does not play carrom. Ishaan does not play cricket. Yash does not play badminton. Neel does not play badminton. Which game does Ishaan play? (a) badminton (b) carrom (c) cricket
22. 22.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have exactly two painted faces?
23. 23.The sum of three consecutive even numbers is 234. What is the smallest of them?
24. 24.Isha is facing South. She turns right, then turns right, then turns right, then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
25. 25.Dev is a boy. How is Dev’s mother’s brother’s son related to Dev? (a) nephew (b) uncle (c) cousin (d) brother
26. 26.A clock shows 9:53. What time does it show in a mirror? (a) 1:07 (b) 2:07 (c) 3:07 (d) 3:53
27. 27.Each person always tells the truth or always lies. Isha says: “Saanvi and I are the same kind.” Saanvi says: “Isha tells the truth.” Is Saanvi a truth-teller or a liar? (a) truth-teller (b) liar
28. 28.Each person always tells the truth or always lies. Farhan says: “Rohan tells the truth.” Rohan says: “Farhan and I are the same kind.” Is Rohan a truth-teller or a liar? (a) truth-teller (b) liar
29. 29.Zoya is a girl. How is Zoya’s father’s father’s only son’s son related to Zoya? (a) cousin (b) father (c) uncle (d) brother
30. 30.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?
31. 31.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) Q (b) X (c) S (d) P
32. 32.Rule: If the traffic light is red, then the cars stop. Fact: The cars do not stop. What can you say about “The traffic light is not red”? (a) must be true (b) must be false (c) can't tell
33. 33.Meera is a girl. How is Meera’s daughter’s husband related to Meera? (a) nephew (b) son (c) son-in-law (d) brother-in-law
34. 34.Myra is facing East. She turns right, then turns left, then turns around (a half turn), then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
35. 35.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: 30 59 53 13 11 72. After step 2, what is the 5th number from the left?
36. 36.If DOG is written as GOD, how is GOLD written in the same code? (a) DLOG (b) EMPH (c) CKNF (d) HPME
37. 37.Steps climbed in a minute: Omkar 59, Riya 47, Rahul 40, Arjun 78, Aarav 57. How many children have more than 70 steps?
38. 38.In a group of 14 children, 8 sing Hindi songs, 9 sing English songs and 5 sing both. How many sing only Hindi songs?
39. 39.If LAMP is written as QNBM, how is DESK written in the same code? (a) KSED (b) LTFE (c) JRDC (d) EFTL
40. 40.A wooden cube is painted on all six faces, then each edge is cut into 5 equal parts, making small cubes. How many small cubes have exactly two painted faces?

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