Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 757 · 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.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 12 ÷ 12 − 17?
2. 2.Rule: If the shop is open, then Nisha buys milk. Fact: The shop is open. What can you say about “Nisha does not buy milk”? (a) must be true (b) must be false (c) can't tell
3. 3.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
4. 4.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
5. 5.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   ? | 22 | 12
   18 | 14 | 10
   16 | 6 | 20
6. 6.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   9 | 4 | 11
   10 | 8 | 6
   5 | 12 | ?
7. 7.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: 52 36 41 24 27 77. After step 3, what is the 5th number from the left?
8. 8.Farhan is a boy. How is Farhan’s father’s only son’s sister related to Farhan? (a) aunt (b) cousin (c) sister (d) mother
9. 9.Kites flown at Makar Sankranti: Pooja 13, Farhan 3, Nisha 2, Vivaan 24, Ishaan 25. Who has the fewest kites? (a) Vivaan (b) Nisha (c) Pooja (d) Farhan
10. 10.If DESK is written as LTFE, how is FROG written in the same code? (a) GSPH (b) GORF (c) FNQE (d) HPSG
11. 11.Statements: No books are caps. All kites are caps. Conclusion: No kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
12. 12.In a group of 27 children, 9 like mangoes, 11 like bananas and 3 like both. How many like exactly one of the two?
13. 13.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?
14. 14.Books read in the summer holidays: Aarav 26, Dev 10, Tara 19, Pooja 28, Manav 11. What is the difference between the highest and the lowest?
15. 15.Statements: All shoes are books. All shoes are keys. Conclusion: Some books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 11 + 14 ÷ 4?
17. 17.Pooja walks 7 m West, then turns right and walks 3 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
18. 18.Ishaan is older than Neel. Neel is older than Sneha. Who is the second youngest? (a) Neel (b) Ishaan (c) Sneha
19. 19.A clock shows 1:29. What time does it show in a mirror? (a) 11:29 (b) 10:31 (c) 9:31 (d) 11:31
20. 20.Statements: All books are bells. All bells are boxes. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
21. 21.How many degrees does the minute hand of a clock turn in 17 minutes? =
22. 22.1 January 2037 is a Thursday. What day of the week is 12 August 2037? (a) Friday (b) Wednesday (c) Thursday (d) Tuesday
23. 23.If BALL is written as LLAB, how is KITE written in the same code? (a) ETIK (b) DSHJ (c) FUJL (d) LJUF
24. 24.Yash walks 12 m West, turns right and walks 3 m, then turns right again and walks 8 m. How far is he from the starting point now, in a straight line (in m)?
25. 25.Meera, Kabir and Priya each have a bag of a different colour: blue, yellow or white. Priya’s bag is not blue. Meera’s bag is not white. Priya’s bag is not white. Whose bag is yellow? (a) Meera (b) Kabir (c) Priya
26. 26.Rohan is shorter than Ananya. Rohan is taller than Saanvi. Vivaan is taller than Ananya. Who is the second shortest? (a) Rohan (b) Saanvi (c) Vivaan (d) Ananya
27. 27.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    ? | 15 | 13
    19 | 11 | 3
    9 | 7 | 17
28. 28.Each person always tells the truth or always lies. Yash says: “Saanvi and I both tell the truth.” Rahul says: “Saanvi is a liar.” Saanvi says: “At least one of us two, Yash or I, is a liar.” Is Rahul a truth-teller or a liar? (a) truth-teller (b) liar
29. 29.If STAR is written as QRYP, how is DOG written in the same code? (a) BME (b) FQI (c) ALD (d) CNF
30. 30.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not get water. What can you say about “The plant does not stay green”? (a) must be true (b) must be false (c) can't tell
31. 31.Today is Wednesday. What day of the week will it be 72 days from today? (a) Sunday (b) Saturday (c) Thursday (d) Friday
32. 32.Statements: Some caps are toys. All toys are rings. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
33. 33.Which number is the odd one out: 16, 43, 97, 2? (a) 16 (b) 43 (c) 97 (d) 2
34. 34.A clock shows 11:19. What time will it show 83 minutes later? (a) 12:42 (b) 1:42 (c) 12:32 (d) 12:52
35. 35.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
36. 36.Find the missing number. The same rule works in every row or in every column.
    7 | 4 | 28
    ? | 4 | 28
    4 | 4 | 16
37. 37.Books read in the summer holidays: Tara 17, Riya 27, Pooja 29, Myra 26, Aisha 19. What is the total for all five children?
38. 38.Kites flown at Makar Sankranti: Riya 6, Farhan 2, Dev 7, Omkar 25, Karan 10. Who has the fewest kites? (a) Dev (b) Karan (c) Farhan (d) Omkar
39. 39.Statements: All books are pens. All cups are pens. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
40. 40.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: 33 29 66 93 24 34. After step 4, what is the 3rd number from the left?

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