Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 567 · 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 this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   18 | 28 | 14
   16 | 20 | 24
   26 | 12 | ?
2. 2.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
3. 3.Priya is a girl. How is Priya’s father’s father’s only son’s son related to Priya? (a) uncle (b) brother (c) father (d) cousin
4. 4.On a standard dice, opposite faces add up to 7. The dice shows 6 on top. What number is on the bottom face?
5. 5.In a group of 37 grown-ups, 18 drink tea, 18 drink coffee and 2 drink both. How many drink exactly one of the two?
6. 6.A clock shows 3:06. What time will it show 26 minutes later? (a) 4:32 (b) 3:22 (c) 3:42 (d) 3:32
7. 7.In a group of 37 children, 17 play cricket, 12 play football and 5 play both. How many play neither of the two?
8. 8.Statements: All bags are bells. No pens are bells. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
9. 9.Rule: If Diya scores above 90, then Diya gets a gold star. Fact: Diya does not score above 90. What can you say about “Diya gets a gold star”? (a) must be true (b) must be false (c) can't tell
10. 10.Manav walks 2 m West, then turns right and walks 4 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
11. 11.Which capital letter does NOT look the same in a mirror? (a) O (b) D (c) A (d) I
12. 12.Rule: If it rains, then the road gets wet. Fact: The road does not get wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell
13. 13.Statements: All balls are cups. All toys are cups. Conclusion: No balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
14. 14.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
15. 15.Myra is a girl. How is Myra’s father’s father’s only son’s son related to Myra? (a) brother (b) father (c) cousin (d) uncle
16. 16.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?
17. 17.Each person always tells the truth or always lies. Siddharth says: “Riya and I are the same kind.” Riya says: “Siddharth and I both tell the truth.” Is Riya a truth-teller or a liar? (a) truth-teller (b) liar
18. 18.Each person always tells the truth or always lies. Diya says: “At least one of us two, Kabir or I, is a liar.” Kabir says: “Diya is a liar.” Is Kabir a truth-teller or a liar? (a) truth-teller (b) liar
19. 19.Each person always tells the truth or always lies. Nisha says: “Neel is a liar.” Neel says: “At least one of us two, Nisha or I, is a liar.” Is Neel a truth-teller or a liar? (a) truth-teller (b) liar
20. 20.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan wins the match. What can you say about “Rohan does not get a medal”? (a) must be true (b) must be false (c) can't tell
21. 21.Trees planted in a week: Ishaan 21, Neel 29, Diya 35, Karan 4, Aisha 6. How many more trees does Neel have than Karan?
22. 22.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 5. What comes out after step 2?
23. 23.Kabir is a boy. How is Kabir’s son’s son related to Kabir? (a) brother (b) grandson (c) son (d) nephew
24. 24.Statements: No books are shoes. Some kites are shoes. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
25. 25.Nisha walks 10 m North, turns right and walks 15 m, then turns right again and walks 2 m. How far is she from the starting point now, in a straight line (in m)?
26. 26.Two standard dice show 4 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
27. 27.1 January 2034 is a Sunday. What day of the week is 7 May 2034? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
28. 28.Four friends (Aarav, Ananya, Siddharth and Sneha) sit in a row. Left and right are as you look at them. Siddharth sits just to the right of Sneha. Aarav sits somewhere to the left of Siddharth. Sneha sits just to the right of Aarav. Ananya sits at the left end. Who sits at the right end? (a) Aarav (b) Ananya (c) Sneha (d) Siddharth
29. 29.Ishaan, Meera and Sneha each have a different pet: rabbit, parrot or cat. Meera does not have the parrot. Ishaan does not have the rabbit. Sneha does not have the parrot. Sneha does not have the cat. Which pet does Meera have? (a) rabbit (b) parrot (c) cat
30. 30.Trees planted in a week: Zoya 28, Karan 13, Pooja 39, Ishaan 15, Kabir 14. What is the total for all five children?
31. 31.The sum of three consecutive even numbers is 72. What is the largest of them?
32. 32.Isha runs faster than Diya. Isha runs slower than Pooja. Who runs the slowest? (a) Diya (b) Pooja (c) Isha
33. 33.A clock shows 1:43. What time does it show in a mirror? (a) 10:17 (b) 11:43 (c) 9:17 (d) 11:17
34. 34.Rule: If the shop is open, then Isha buys milk. Fact: The shop is open. What can you say about “Isha does not buy milk”? (a) must be true (b) must be false (c) can't tell
35. 35.A wooden cube is painted on all six faces, then each edge is cut into 4 equal parts, making small cubes. How many small cubes have no painted face?
36. 36.Ananya, Diya and Aditya each have a bag of a different colour: yellow, white or red. Ananya’s bag is not red. Diya’s bag is not yellow. Aditya’s bag is not red. Aditya’s bag is not yellow. What colour is Diya’s bag? (a) yellow (b) white (c) red
37. 37.A clock shows 10:11. What time will it show 157 minutes later? (a) 12:58 (b) 1:48 (c) 12:38 (d) 12:48
38. 38.Saanvi is lighter than Manav. Omkar is lighter than Saanvi. Who is the second heaviest? (a) Omkar (b) Manav (c) Saanvi
39. 39.Each person always tells the truth or always lies. Nisha says: “Ishaan and I are the same kind.” Ishaan says: “Nisha and I are the same kind.” Is Ishaan a truth-teller or a liar? (a) truth-teller (b) liar
40. 40.Which capital letter looks exactly the same in a mirror? (a) B (b) A (c) R (d) E

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