Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 87 · 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 9 and my tens digit is 3 more than my ones digit. What number am I?
2. 2.Riya is shorter than Ishaan. Diya is taller than Ishaan. Who is the tallest? (a) Ishaan (b) Riya (c) Diya
3. 3.Diya walks 24 km South, then turns left and walks 7 km. How far is she from the starting point now, in a straight line (in km)?
4. 4.Two standard dice show 6 and 3 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
5. 5.Kites flown at Makar Sankranti: Manav 2, Meera 9, Karan 25, Nisha 6, Farhan 5. How many children have more than 22 kites?
6. 6.Vivaan, Tara and Diya each play a different game: cricket, football or chess. Diya does not play cricket. Vivaan does not play football. Tara does not play chess. Diya does not play chess. Which game does Diya play? (a) cricket (b) football (c) chess
7. 7.In a group of 42 children, 30 sing Hindi songs, 17 sing English songs and 12 sing both. How many sing only Hindi songs?
8. 8.Which number is the odd one out: 73, 97, 80, 13? (a) 73 (b) 97 (c) 80 (d) 13
9. 9.On a standard dice, opposite faces add up to 7. The dice shows 2 on top. What number is on the bottom face?
10. 10.Each person always tells the truth or always lies. Farhan says: “At least one of us two, Karan or I, is a liar.” Karan says: “Farhan and I are the same kind.” Is Karan a truth-teller or a liar? (a) truth-teller (b) liar
11. 11.Three friends (Arjun, Kavya and Rohan) sit in a row. Left and right are as you look at them. Arjun sits somewhere to the left of Rohan. Kavya sits next to both Arjun and Rohan. Who sits just to the left of Rohan? (a) Kavya (b) Arjun (c) Rohan
12. 12.Rule: If the shop is open, then Rahul buys milk. Fact: The shop is not open. What can you say about “Rahul does not buy milk”? (a) must be true (b) must be false (c) can't tell
13. 13.Rule: If the shop is open, then Riya buys milk. Fact: Riya buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
14. 14.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
15. 15.A wooden cube is painted on all six faces, then each edge is cut into 6 equal parts, making small cubes. How many small cubes have at least one painted face?
16. 16.A clock shows 3:12. What time will it show 14 minutes later? (a) 3:16 (b) 3:26 (c) 4:26 (d) 3:36
17. 17.In a group of 37 grown-ups, 21 drink tea, 18 drink coffee and 5 drink both. How many drink at least one of the two?
18. 18.Each person always tells the truth or always lies. Riya says: “Aisha and I are different kinds.” Aisha says: “Riya tells the truth.” Is Riya a truth-teller or a liar? (a) truth-teller (b) liar
19. 19.Ira, Neel and Aditya each have a different pet: tortoise, dog or cat. Ira does not have the cat. Neel does not have the dog. Aditya does not have the cat. Aditya does not have the dog. Which pet does Ira have? (a) tortoise (b) dog (c) cat
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 7 × 6 ÷ 14?
21. 21.Three friends (Ira, Isha and Saanvi) sit in a row. Left and right are as you look at them. Isha sits at the left end. Saanvi sits next to both Isha and Ira. Who sits at the right end? (a) Ira (b) Isha (c) Saanvi
22. 22.Which number is the odd one out: 71, 72, 29, 31? (a) 71 (b) 72 (c) 29 (d) 31
23. 23.If RAIN is written as NIAR, how is GOLD written in the same code? (a) HPME (b) CKNF (c) DLOG (d) EMPH
24. 24.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: 46 99 43 78 26 45. After step 3, what is the 2nd number from the left?
25. 25.Each person always tells the truth or always lies. Isha says: “Vivaan and I are different kinds.” Vivaan says: “Isha is a liar.” Is Isha a truth-teller or a liar? (a) truth-teller (b) liar
26. 26.24 April is a Tuesday. What day of the week is 24 May of the same year? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
27. 27.Rule: If the shop is open, then Karan buys milk. Fact: The shop is open. What can you say about “Karan does not buy milk”? (a) must be true (b) must be false (c) can't tell
28. 28.Which capital letter looks exactly the same in a mirror? (a) G (b) E (c) M (d) R
29. 29.Find the missing number. The same rule works in every row or in every column.
    10 | 6 | 16
    12 | 4 | ?
    4 | 6 | 10
30. 30.Statements: Some keys are bags. No keys are bells. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
31. 31.10 March is a Sunday. What day of the week is 10 April of the same year? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
32. 32.Dev, Rohan and Manav each have a bag of a different colour: green, red or yellow. Dev’s bag is not red. Dev’s bag is not yellow. Rohan’s bag is not yellow. Whose bag is red? (a) Dev (b) Rohan (c) Manav
33. 33.Nisha is a girl. How is Nisha’s father’s sister’s husband related to Nisha? (a) father (b) uncle (c) grandfather (d) brother-in-law
34. 34.Tara is heavier than Ishaan. Ishaan is heavier than Siddharth. Tara is lighter than Nisha. Who is the second heaviest? (a) Tara (b) Nisha (c) Siddharth (d) Ishaan
35. 35.Which number is the odd one out: 19, 83, 8, 13? (a) 19 (b) 83 (c) 8 (d) 13
36. 36.Runs scored in a cricket match: Priya 45, Saanvi 34, Aditya 8, Vivaan 43, Farhan 42. What is the total for all five children?
37. 37.On a standard dice, opposite faces add up to 7. The dice shows 4 on top. What number is on the bottom face?
38. 38.Statements: All kites are keys. All keys are bags. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
39. 39.A clock shows 6:36. What time does it show in a mirror? (a) 6:36 (b) 4:24 (c) 6:24 (d) 5:24
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 6 ÷ 10 + 7?

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