Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 10 · 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.How many degrees does the minute hand of a clock turn in 14 minutes? =
2. 2.1 January 2036 is a Tuesday. What day of the week is 15 March 2036? (a) Saturday (b) Monday (c) Friday (d) Sunday
3. 3.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   18 | 4 | 14
   8 | 12 | 16
   10 | ? | 6
4. 4.Statements: All caps are boxes. Some boxes are keys. Conclusion: Some caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
5. 5.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: 48 78 89 74 68 32. After step 3, what is the 1st number from the left?
6. 6.Each person always tells the truth or always lies. Sneha says: “Diya and I both tell the truth.” Diya says: “Sneha and I are the same kind.” Is Diya a truth-teller or a liar? (a) truth-teller (b) liar
7. 7.Statements: No pens are keys. All bells are keys. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
8. 8.Riya walks 18 m North, turns right and walks 16 m, then turns right again and walks 6 m. How far is she from the starting point now, in a straight line (in m)?
9. 9.A clock shows 1:35. What time will it show 30 minutes later? (a) 3:05 (b) 2:15 (c) 2:05 (d) 1:55
10. 10.Riya is a girl. How is Riya’s brother’s son related to Riya? (a) brother (b) son (c) nephew (d) cousin
11. 11.Find the missing number. The same rule works in every row or in every column.
    1 | 15 | ?
    17 | 18 | 35
    4 | 18 | 22
12. 12.A number machine multiplies a number by 2 and then takes away 3. Each output goes back in as the next input. Start with 8. What comes out after step 2?
13. 13.Meera is a girl. How is Meera’s son’s wife related to Meera? (a) daughter-in-law (b) sister-in-law (c) niece (d) daughter
14. 14.Each person always tells the truth or always lies. Saanvi says: “Aarav is a liar.” Ananya says: “Saanvi is a liar.” Aarav says: “Saanvi and I are the same kind.” Is Aarav a truth-teller or a liar? (a) truth-teller (b) liar
15. 15.The sum of three consecutive even numbers is 204. What is the largest of them?
16. 16.Each person always tells the truth or always lies. Meera says: “Yash tells the truth.” Yash says: “Ishaan and I are the same kind.” Ishaan says: “Meera and I are the same kind.” Is Yash a truth-teller or a liar? (a) truth-teller (b) liar
17. 17.Pooja walks 15 m West, then turns right and walks 9 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.Statements: Some shoes are caps. No pens are caps. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
19. 19.In a group of 35 children, 13 play cricket, 12 play football and 3 play both. How many play exactly one of the two?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 13 × 13 ÷ 20?
21. 21.Two standard dice show 5 and 4 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
22. 22.Yash walks 8 km South, then turns left and walks 15 km. How far is he from the starting point now, in a straight line (in km)?
23. 23.Aditya is taller than Yash. Aditya is shorter than Zoya. Who is the tallest? (a) Aditya (b) Zoya (c) Yash
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: 94 22 86 20 88 85. After step 3, what is the 6th number from the left?
25. 25.Marks in a maths test (out of 50): Arjun 16, Dev 20, Ishaan 47, Riya 18, Aditya 21. What is the total for all five children?
26. 26.Each person always tells the truth or always lies. Omkar says: “Vivaan and I are the same kind.” Vivaan says: “Omkar tells the truth.” Is Omkar a truth-teller or a liar? (a) truth-teller (b) liar
27. 27.Statements: All cups are coins. All coins are shoes. Conclusion: All cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
28. 28.Three friends (Meera, Pooja and Vivaan) sit in a row. Left and right are as you look at them. Meera sits at the right end. Vivaan sits just to the right of Pooja. Who sits just to the left of Meera? (a) Pooja (b) Meera (c) Vivaan
29. 29.Farhan is facing North. He turns left, then turns around (a half turn), then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
30. 30.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) T (b) P (c) Y (d) D
31. 31.I am a 2-digit number. My digits add up to 12. If you swap my two digits, the new number is 36 more than me. What number am I?
32. 32.Books read in the summer holidays: Dev 10, Neel 13, Aarav 28, Kabir 16, Ananya 21. How many more books does Ananya have than Kabir?
33. 33.What is the smaller angle between the hour hand and the minute hand at 12:55? (in degrees) =
34. 34.What is the smaller angle between the hour hand and the minute hand at 1:22? (in degrees) =
35. 35.15 November is a Sunday. What day of the week is 15 December of the same year? (a) Thursday (b) Monday (c) Wednesday (d) Tuesday
36. 36.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 4. What comes out after step 3?
37. 37.Zoya is older than Aarav. Ananya is younger than Aarav. Who is the second oldest? (a) Aarav (b) Zoya (c) Ananya
38. 38.Myra walks 13 m West, then turns left and walks 7 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
39. 39.Which capital letter looks exactly the same in a mirror? (a) Q (b) B (c) I (d) R
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 8 ÷ 19 − 4?

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