Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 275 · 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.Each person always tells the truth or always lies. Ishaan says: “Meera and I both tell the truth.” Meera says: “Pooja and I both tell the truth.” Pooja says: “Ishaan and I are the same kind.” Is Ishaan a truth-teller or a liar? (a) truth-teller (b) liar
2. 2.Arjun is taller than Tara. Rahul is shorter than Tara. Rahul is taller than Myra. Who is the shortest? (a) Arjun (b) Rahul (c) Myra (d) Tara
3. 3.Saanvi is a girl. How is Saanvi’s son’s wife related to Saanvi? (a) daughter (b) daughter-in-law (c) sister-in-law (d) niece
4. 4.In a group of 30 children, 11 enjoy drawing, 11 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
5. 5.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   12 | 2 | 16
   14 | 10 | 6
   4 | 18 | ?
6. 6.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: 57 43 74 50 92 23. After step 3, what is the 6th number from the left?
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: 91 74 20 16 82 76. After step 3, what is the 4th number from the left?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 5 − 20 + 4?
9. 9.Statements: All bells are keys. No boxes are keys. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
10. 10.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
11. 11.What is the smaller angle between the hour hand and the minute hand at 7:00? (in degrees) =
12. 12.Statements: All caps are bags. All caps are books. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
13. 13.In a group of 35 children, 7 play chess, 18 play carrom and 4 play both. How many play exactly one of the two?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 20 × 9 − 20?
15. 15.Is 2046 a leap year? (a) Yes (b) No
16. 16.Omkar is a boy. How is Omkar’s daughter’s husband related to Omkar? (a) nephew (b) son-in-law (c) brother-in-law (d) son
17. 17.In a group of 48 grown-ups, 20 drink tea, 21 drink coffee and 5 drink both. How many drink neither of the two?
18. 18.Four friends (Diya, Ishaan, Manav and Yash) sit in a row. Left and right are as you look at them. Yash sits next to both Manav and Ishaan. Diya sits somewhere to the left of Ishaan. Manav sits somewhere to the left of Ishaan. Who sits just to the right of Diya? (a) Yash (b) Manav (c) Ishaan (d) Diya
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 18 − 15 ÷ 16?
20. 20.Find the missing number. The same rule works in every row or in every column.
    6 | 7 | 42
    ? | 3 | 9
    3 | 8 | 24
21. 21.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 5. What comes out after step 2?
22. 22.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
23. 23.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: 79 57 29 98 45 39. After step 3, what is the 5th number from the left?
24. 24.Is 2031 a leap year? (a) Yes (b) No
25. 25.Three friends (Arjun, Nisha and Rahul) sit in a row. Left and right are as you look at them. Arjun sits next to both Nisha and Rahul. Nisha sits at the left end. Who sits at the right end? (a) Rahul (b) Arjun (c) Nisha
26. 26.Pooja is a girl. How is Pooja’s brother’s wife related to Pooja? (a) cousin (b) sister (c) aunt (d) sister-in-law
27. 27.Which number is the odd one out: 43, 30, 66, 10? (a) 43 (b) 30 (c) 66 (d) 10
28. 28.Statements: No kites are caps. All keys are kites. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
29. 29.Aditya runs faster than Aisha. Dev runs faster than Isha. Isha runs faster than Aditya. Who runs the second slowest? (a) Isha (b) Aditya (c) Aisha (d) Dev
30. 30.Sneha runs slower than Rahul. Siddharth runs slower than Karan. Rahul runs slower than Siddharth. Who runs the slowest? (a) Karan (b) Sneha (c) Siddharth (d) Rahul
31. 31.If COLD is written as XLOW, how is STAR written in the same code? (a) GFYH (b) HGZI (c) TUBS (d) IHAJ
32. 32.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?
33. 33.Which number is the odd one out: 3, 97, 47, 84? (a) 3 (b) 97 (c) 47 (d) 84
34. 34.Three friends (Arjun, Farhan and Vivaan) sit in a row. Left and right are as you look at them. Farhan sits somewhere to the left of Arjun. Vivaan does not sit at either end. Who sits at the right end? (a) Farhan (b) Vivaan (c) Arjun
35. 35.Which capital letter looks exactly the same in a mirror? (a) A (b) N (c) D (d) P
36. 36.A clock shows 6:05. What time does it show in a mirror? (a) 6:05 (b) 6:55 (c) 4:55 (d) 5:55
37. 37.In a group of 41 children, 21 play cricket, 20 play football and 7 play both. How many play exactly one of the two?
38. 38.Find the missing number. The same rule works in every row or in every column.
    14 | 4 | 9
    2 | 9 | ?
    16 | 13 | 26
39. 39.Each person always tells the truth or always lies. Saanvi says: “Ishaan is a liar.” Ishaan says: “At least one of us two, Saanvi or I, is a liar.” Omkar says: “Saanvi tells the truth.” Is Omkar a truth-teller or a liar? (a) truth-teller (b) liar
40. 40.If TREE is written as DDQS, how is DRUM written in the same code? (a) LTQC (b) NVSE (c) CQTL (d) MURD

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