Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 205 · 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.Rule: If the shop is open, then Riya buys milk. Fact: Riya buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
2. 2.Statements: Some books are boxes. No books are kites. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
3. 3.Meera is younger than Kabir. Kabir is younger than Riya. Who is the second oldest? (a) Meera (b) Kabir (c) Riya
4. 4.1 January 2021 is a Friday. What day of the week is 8 May 2021? (a) Sunday (b) Friday (c) Monday (d) Saturday
5. 5.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   18 | 4 | ?
   8 | 12 | 16
   10 | 20 | 6
6. 6.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   16 | 13 | 28
   ? | 19 | 7
   10 | 25 | 22
7. 7.Which number is the odd one out: 12, 99, 81, 9? (a) 12 (b) 99 (c) 81 (d) 9
8. 8.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
9. 9.Isha is a girl. How is Isha’s brother’s wife related to Isha? (a) sister (b) sister-in-law (c) aunt (d) cousin
10. 10.12 January is a Tuesday. What day of the week is 12 February of the same year? (a) Thursday (b) Saturday (c) Sunday (d) Friday
11. 11.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
12. 12.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: 80 26 39 82 25 23. After step 2, what is the 4th number from the left?
13. 13.Each person always tells the truth or always lies. Aditya says: “At least one of us two, Farhan or I, is a liar.” Farhan says: “Nisha is a liar.” Nisha says: “Farhan is a liar.” Is Farhan a truth-teller or a liar? (a) truth-teller (b) liar
14. 14.Which capital letter looks exactly the same in a mirror? (a) E (b) P (c) W (d) F
15. 15.1 January 2028 is a Saturday. What day of the week is 17 July 2028? (a) Wednesday (b) Monday (c) Sunday (d) Tuesday
16. 16.Find the missing number. The same rule works in every row or in every column.
    8 | 13 | 3
    16 | 2 | 6
    2 | 20 | ?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 6 × 13 − 13?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 3 ÷ 4 + 13?
19. 19.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: 24 66 90 37 93 23. After step 3, what is the 1st number from the left?
20. 20.Rule: If Neel finishes the homework, then Neel goes to the park. Fact: Neel does not finish the homework. What can you say about “Neel does not go to the park”? (a) must be true (b) must be false (c) can't tell
21. 21.Karan, Manav and Aisha each have a different pet: dog, tortoise or parrot. Manav does not have the tortoise. Aisha does not have the dog. Karan does not have the dog. Aisha does not have the tortoise. Which pet does Aisha have? (a) dog (b) tortoise (c) parrot
22. 22.Is 2400 a leap year? (a) Yes (b) No
23. 23.In a group of 28 children, 13 sing Hindi songs, 15 sing English songs and 9 sing both. How many sing at least one of the two?
24. 24.Marks in a maths test (out of 50): Aarav 49, Ishaan 19, Neel 38, Kabir 40, Vivaan 16. How many more marks does Aarav have than Kabir?
25. 25.If LAMP is written as JYKN, how is TREE written in the same code? (a) RPCC (b) SQDD (c) QOBB (d) VTGG
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 17 − 7 + 8?
27. 27.Three friends (Aarav, Pooja and Zoya) sit in a row. Left and right are as you look at them. Pooja sits at the right end. Aarav sits at the left end. Who sits just to the left of Zoya? (a) Pooja (b) Zoya (c) Aarav
28. 28.Is 1700 a leap year? (a) Yes (b) No
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 5 − 11 ÷ 18?
30. 30.On a standard dice, opposite faces add up to 7. The dice shows 6 on top. What number is on the bottom face?
31. 31.Priya walks 7 m North, then turns right and walks 6 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
32. 32.Ishaan walks 3 m South, then turns left and walks 4 m. How far is he from the starting point now, in a straight line (in m)?
33. 33.Ananya runs faster than Kabir. Aditya runs slower than Kabir. Nisha runs faster than Ananya. Who runs the second fastest? (a) Nisha (b) Aditya (c) Ananya (d) Kabir
34. 34.Which number is the odd one out: 28, 9, 49, 81? (a) 28 (b) 9 (c) 49 (d) 81
35. 35.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
36. 36.Runs scored in a cricket match: Diya 39, Saanvi 47, Karan 51, Farhan 43, Riya 6. How many more runs does Saanvi have than Diya?
37. 37.Three friends (Arjun, Diya and Kabir) sit in a row. Left and right are as you look at them. Kabir sits at the right end. Arjun does not sit at either end. Who sits just to the left of Arjun? (a) Diya (b) Arjun (c) Kabir
38. 38.Today is Wednesday. What day of the week will it be 67 days from today? (a) Saturday (b) Tuesday (c) Monday (d) Sunday
39. 39.Marks in a maths test (out of 50): Meera 36, Siddharth 15, Manav 24, Neel 16, Karan 39. What is the difference between the highest and the lowest?
40. 40.Statements: No boxes are keys. All boxes are cups. Conclusion: Some keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No

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