Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 95 · 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.I am a 2-digit number. My digits add up to 6. If you swap my two digits, the new number is 18 more than me. What number am I?
2. 2.Three friends (Dev, Rahul and Siddharth) sit in a row. Left and right are as you look at them. Dev sits at the right end. Siddharth sits just to the right of Rahul. Who sits at the left end? (a) Rahul (b) Dev (c) Siddharth
3. 3.Books read in the summer holidays: Vivaan 5, Kavya 7, Karan 19, Rahul 9, Yash 11. What is the total for all five children?
4. 4.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
5. 5.Dev is a boy. How is Dev’s father’s only son’s sister related to Dev? (a) mother (b) cousin (c) sister (d) aunt
6. 6.Statements: Some toys are kites. All kites are shoes. Conclusion: All toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
7. 7.Each person always tells the truth or always lies. Karan says: “At least one of us two, Dev or I, is a liar.” Dev says: “Karan and I are the same kind.” Is Karan a truth-teller or a liar? (a) truth-teller (b) liar
8. 8.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
9. 9.Riya is a girl. How is Riya’s father’s sister related to Riya? (a) sister (b) cousin (c) mother (d) aunt
10. 10.Rahul, Diya and Ira each have a different pet: dog, parrot or rabbit. Rahul does not have the parrot. Rahul does not have the dog. Diya does not have the dog. Who has the rabbit? (a) Rahul (b) Diya (c) Ira
11. 11.Arjun is shorter than Rohan. Rohan is shorter than Neel. Who is the second tallest? (a) Rohan (b) Arjun (c) Neel
12. 12.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?
13. 13.Kabir, Aisha and Arjun each have a different pet: dog, rabbit or parrot. Arjun does not have the rabbit. Aisha does not have the rabbit. Arjun does not have the parrot. Who has the parrot? (a) Kabir (b) Aisha (c) Arjun
14. 14.If RAIN is written as IZRM, how is GOLD written in the same code? (a) SKNV (b) HPME (c) UMPX (d) TLOW
15. 15.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: 17 99 26 29 41 56. After step 2, what is the 4th number from the left?
16. 16.Statements: All balls are cups. No cups are coins. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
17. 17.Statements: No pens are caps. All books are pens. Conclusion: Some caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
18. 18.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    14 | 9 | 10
    ? | 11 | 15
    12 | 13 | 8
19. 19.Kites flown at Makar Sankranti: Aditya 3, Ira 16, Manav 13, Aarav 22, Tara 15. What is the difference between the highest and the lowest?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 10 × 7 − 7?
21. 21.A number machine multiplies a number by 3 and then adds 5. Each output goes back in as the next input. Start with 3. What comes out after step 2?
22. 22.If CAT is written as BZS, how is LION written in the same code? (a) KHNM (b) MJPO (c) LION (d) JGML
23. 23.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 8. What comes out after step 3?
24. 24.Three friends (Diya, Karan and Vivaan) sit in a row. Left and right are as you look at them. Vivaan sits just to the right of Diya. Karan sits just to the right of Vivaan. Who sits in the middle? (a) Diya (b) Karan (c) Vivaan
25. 25.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 8 − 4 + 18?
27. 27.Vivaan, Ananya and Farhan each play a different game: badminton, cricket or chess. Vivaan does not play cricket. Farhan does not play chess. Ananya does not play cricket. Ananya does not play chess. Which game does Vivaan play? (a) badminton (b) cricket (c) chess
28. 28.Which number is the odd one out: 47, 26, 67, 97? (a) 47 (b) 26 (c) 67 (d) 97
29. 29.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: 24 83 69 78 67 68. After step 4, what is the 2nd number from the left?
30. 30.23 September is a Thursday. What day of the week is 23 October of the same year? (a) Saturday (b) Monday (c) Friday (d) Sunday
31. 31.How many degrees does the hour hand of a clock turn in 165 minutes? =
32. 32.Two standard dice show 6 and 2 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
33. 33.Kabir is a boy. How is Kabir’s sister’s daughter related to Kabir? (a) daughter (b) niece (c) sister (d) aunt
34. 34.I am a 2-digit number. My digits add up to 13 and my tens digit is 3 more than my ones digit. What number am I?
35. 35.Three friends (Neel, Saanvi and Zoya) sit in a row. Left and right are as you look at them. Neel sits next to both Saanvi and Zoya. Zoya sits just to the right of Neel. Who sits at the right end? (a) Zoya (b) Neel (c) Saanvi
36. 36.Ira is a girl. How is Ira’s father’s sister related to Ira? (a) sister (b) mother (c) cousin (d) aunt
37. 37.The sum of three consecutive even numbers is 42. What is the largest of them?
38. 38.Riya is older than Neel. Rohan is older than Riya. Who is the second oldest? (a) Riya (b) Neel (c) Rohan
39. 39.Find the missing number. The same rule works in every row or in every column.
    3 | ? | 15
    4 | 2 | 8
    4 | 6 | 24
40. 40.Five friends (Aisha, Ishaan, Neel, Omkar and Vivaan) sit in a row. Left and right are as you look at them. Neel sits somewhere to the left of Vivaan. Omkar sits somewhere to the left of Vivaan. Vivaan does not sit at either end. Neel sits somewhere to the left of Ishaan. Aisha sits next to both Neel and Vivaan. Who sits in the middle? (a) Ishaan (b) Omkar (c) Neel (d) Aisha

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