Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 294 · 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.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?
2. 2.Each person always tells the truth or always lies. Riya says: “Neel and I are different kinds.” Saanvi says: “Neel and I both tell the truth.” Neel says: “Riya and I are different kinds.” Is Riya a truth-teller or a liar? (a) truth-teller (b) liar
3. 3.Statements: No bags are caps. Some caps are pens. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 4 + 18 × 9?
5. 5.Aisha is a girl. How is Aisha’s father’s sister’s husband related to Aisha? (a) brother-in-law (b) grandfather (c) uncle (d) father
6. 6.In a group of 25 children, 10 enjoy drawing, 8 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
7. 7.A clock shows 7:59. What time will it show 108 minutes later? (a) 9:57 (b) 9:47 (c) 9:37 (d) 10:47
8. 8.Each person always tells the truth or always lies. Meera says: “At least one of us two, Riya or I, is a liar.” Riya says: “Meera and I are the same kind.” Diya says: “Riya tells the truth.” Is Meera a truth-teller or a liar? (a) truth-teller (b) liar
9. 9.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: 53 87 30 48 68 97. After step 3, what is the 1st number from the left?
10. 10.1 January 2036 is a Tuesday. What day of the week is 9 July 2036? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
11. 11.Find the missing number. The same rule works in every row or in every column.
    16 | 4 | 5
    21 | 3 | 1
    ? | 3 | 4
12. 12.Statements: Some bells are boxes. All kites are boxes. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
13. 13.If LION is written as MNHK, how is SUN written in the same code? (a) NUS (b) RTM (c) OVT (d) MTR
14. 14.Statements: Some bags are rings. No coins are bags. Conclusion: All coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
15. 15.Isha is a girl. How is Isha’s mother’s brother’s son related to Isha? (a) uncle (b) cousin (c) brother (d) nephew
16. 16.Which capital letter looks exactly the same in a mirror? (a) Q (b) P (c) E (d) V
17. 17.Dev is older than Isha. Isha is older than Priya. Who is the second youngest? (a) Priya (b) Isha (c) Dev
18. 18.What is the smaller angle between the hour hand and the minute hand at 10:38? (in degrees) =
19. 19.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 2. What comes out after step 3?
20. 20.Statements: All caps are keys. Some boxes are keys. Conclusion: Some boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
21. 21.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have exactly three painted faces?
22. 22.Diya is heavier than Riya. Siddharth is heavier than Diya. Riya is heavier than Nisha. Who is the lightest? (a) Nisha (b) Siddharth (c) Diya (d) Riya
23. 23.Five friends (Ishaan, Manav, Rahul, Saanvi and Siddharth) sit in a row. Left and right are as you look at them. Siddharth sits just to the right of Manav. Manav sits next to both Ishaan and Siddharth. Saanvi sits just to the right of Rahul. Ishaan sits somewhere to the left of Saanvi. Who sits just to the left of Rahul? (a) Ishaan (b) Siddharth (c) Saanvi (d) Rahul
24. 24.Three friends (Ira, Meera and Saanvi) sit in a row. Left and right are as you look at them. Meera sits somewhere to the left of Saanvi. Saanvi sits at the right end. Meera sits at the left end. Who sits just to the left of Ira? (a) Saanvi (b) Meera (c) Ira
25. 25.In a group of 23 grown-ups, 15 drink tea, 15 drink coffee and 8 drink both. How many drink exactly one of the two?
26. 26.Neel is a boy. How is Neel’s mother’s mother related to Neel? (a) aunt (b) mother (c) sister (d) grandmother
27. 27.I am a 2-digit number. My digits add up to 3 and my tens digit is 1 more than my ones digit. What number am I?
28. 28.Zoya, Ananya and Aarav each have a different pet: parrot, cat or rabbit. Ananya does not have the cat. Zoya does not have the rabbit. Aarav does not have the rabbit. Zoya does not have the parrot. Which pet does Ananya have? (a) parrot (b) cat (c) rabbit
29. 29.Steps climbed in a minute: Ira 48, Aarav 22, Manav 27, Rahul 79, Karan 71. Who has the fewest steps? (a) Karan (b) Manav (c) Ira (d) Aarav
30. 30.Which number is the odd one out: 91, 89, 14, 31? (a) 91 (b) 89 (c) 14 (d) 31
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 18 − 8 + 4?
32. 32.Each person always tells the truth or always lies. Ira says: “Aisha and I are the same kind.” Aisha says: “Ira tells the truth.” Is Ira a truth-teller or a liar? (a) truth-teller (b) liar
33. 33.Myra, Karan and Aarav each have a different pet: dog, tortoise or cat. Aarav does not have the dog. Karan does not have the tortoise. Karan does not have the cat. Myra does not have the tortoise. Which pet does Myra have? (a) dog (b) tortoise (c) cat
34. 34.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 do not stop”? (a) must be true (b) must be false (c) can't tell
35. 35.1 January 2021 is a Friday. What day of the week is 24 October 2021? (a) Tuesday (b) Monday (c) Saturday (d) Sunday
36. 36.Siddharth, Neel and Dev each play a different game: chess, carrom or badminton. Siddharth does not play carrom. Dev does not play chess. Neel does not play badminton. Neel does not play carrom. Which game does Dev play? (a) chess (b) carrom (c) badminton
37. 37.Karan, Kavya and Aditya each play a different game: cricket, badminton or carrom. Aditya does not play carrom. Karan does not play carrom. Aditya does not play badminton. Who plays badminton? (a) Karan (b) Kavya (c) Aditya
38. 38.Rahul is a boy. How is Rahul’s father’s sister related to Rahul? (a) mother (b) sister (c) aunt (d) cousin
39. 39.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
40. 40.Five friends (Karan, Myra, Omkar, Riya and Sneha) sit in a row. Left and right are as you look at them. Karan sits somewhere to the left of Myra. Karan sits next to both Omkar and Riya. Riya sits next to both Karan and Myra. Omkar sits just to the right of Sneha. Who sits just to the left of Karan? (a) Myra (b) Sneha (c) Karan (d) Omkar

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