Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 678 · 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 Nisha scores above 90, then Nisha gets a gold star. Fact: Nisha does not get a gold star. What can you say about “Nisha scores above 90”? (a) must be true (b) must be false (c) can't tell
2. 2.I am a 2-digit number. My digits add up to 8 and my tens digit is 8 more than my ones digit. What number am I?
3. 3.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   23 | 9 | ?
   13 | 17 | 21
   15 | 25 | 11
4. 4.What is the smaller angle between the hour hand and the minute hand at 11:27? (in degrees) =
5. 5.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 20 − 4 × 10?
7. 7.In a group of 49 grown-ups, 16 drink tea, 30 drink coffee and 12 drink both. How many drink at least one of the two?
8. 8.Statements: All rings are toys. All balls are rings. Conclusion: All balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
9. 9.Is 2200 a leap year? (a) Yes (b) No
10. 10.Four friends (Manav, Neel, Priya and Vivaan) sit in a row. Left and right are as you look at them. Neel sits somewhere to the left of Priya. Neel sits somewhere to the left of Vivaan. Priya sits next to both Manav and Vivaan. Manav does not sit at either end. Who sits at the left end? (a) Manav (b) Vivaan (c) Priya (d) Neel
11. 11.Nisha walks 2 m South, then turns right and walks 13 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
12. 12.Tara is older than Dev. Dev is older than Kavya. Who is the oldest? (a) Tara (b) Dev (c) Kavya
13. 13.Statements: Some balls are caps. All caps are pens. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
14. 14.Which number is the odd one out: 79, 90, 31, 29? (a) 79 (b) 90 (c) 31 (d) 29
15. 15.Aarav, Myra and Isha each play a different game: chess, football or carrom. Myra does not play football. Isha does not play carrom. Aarav does not play chess. Aarav does not play football. Who plays chess? (a) Aarav (b) Myra (c) Isha
16. 16.In a group of 26 children, 17 play chess, 15 play carrom and 12 play both. How many play exactly one of the two?
17. 17.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: 87 31 82 97 35 91. After step 3, what is the 2nd number from the left?
18. 18.Diya is facing North. She turns right, then turns right. Which direction is she facing now? (a) North (b) East (c) South (d) West
19. 19.What is the smaller angle between the hour hand and the minute hand at 5:17? (in degrees) =
20. 20.Karan, Siddharth and Nisha each have a bag of a different colour: red, blue or green. Nisha’s bag is not green. Nisha’s bag is not red. Siddharth’s bag is not green. Whose bag is green? (a) Karan (b) Siddharth (c) Nisha
21. 21.Kites flown at Makar Sankranti: Tara 8, Meera 22, Yash 16, Zoya 9, Ira 7. Who has the fewest kites? (a) Yash (b) Zoya (c) Ira (d) Meera
22. 22.Books read in the summer holidays: Zoya 11, Arjun 5, Meera 17, Aisha 23, Diya 22. What is the difference between the highest and the lowest?
23. 23.Vivaan is a boy. How is Vivaan’s daughter’s husband related to Vivaan? (a) son-in-law (b) son (c) nephew (d) brother-in-law
24. 24.Today is Saturday. What day of the week will it be 30 days from today? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
25. 25.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan does not score above 90. What can you say about “Karan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
26. 26.Steps climbed in a minute: Saanvi 71, Karan 59, Arjun 78, Sneha 63, Farhan 24. Who has the fewest steps? (a) Farhan (b) Arjun (c) Sneha (d) Karan
27. 27.Today is Tuesday. What day of the week will it be 29 days from today? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
28. 28.Three friends (Aditya, Dev and Yash) sit in a row. Left and right are as you look at them. Aditya sits next to both Yash and Dev. Aditya sits just to the right of Yash. Who sits at the left end? (a) Dev (b) Aditya (c) Yash
29. 29.Rule: If the shop is open, then Priya buys milk. Fact: Priya buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
30. 30.I am a 2-digit number. My digits add up to 5 and my tens digit is 1 more than my ones digit. What number am I?
31. 31.Each person always tells the truth or always lies. Siddharth says: “Rahul and I are the same kind.” Rahul says: “At least one of us two, Farhan or I, is a liar.” Farhan says: “Siddharth is a liar.” Is Rahul a truth-teller or a liar? (a) truth-teller (b) liar
32. 32.If DESK is written as BCQI, how is MILK written in the same code? (a) KGJI (b) LHKJ (c) OKNM (d) JFIH
33. 33.If CAT is written as XZG, how is CAKE written in the same code? (a) YAQW (b) WYOU (c) DBLF (d) XZPV
34. 34.Find the missing number. The same rule works in every row or in every column.
    6 | 13 | ?
    11 | 10 | 10
    17 | 23 | 12
35. 35.Which number is the odd one out: 47, 97, 54, 69? (a) 47 (b) 97 (c) 54 (d) 69
36. 36.Three friends (Arjun, Priya and Siddharth) sit in a row. Left and right are as you look at them. Arjun sits just to the right of Siddharth. Siddharth does not sit at either end. Who sits at the left end? (a) Priya (b) Arjun (c) Siddharth
37. 37.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: 99 84 43 68 98 94. After step 2, what is the 5th number from the left?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 10 × 12 ÷ 12?
39. 39.Two standard dice show 2 and 6 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
40. 40.A clock shows 4:56. What time does it show in a mirror? (a) 7:04 (b) 8:56 (c) 8:04 (d) 6:04

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