Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 706 · 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.I am a 2-digit number. My digits add up to 15. If you swap my two digits, the new number is 9 more than me. What number am I?
2. 2.Statements: All caps are toys. All caps are rings. Conclusion: Some toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 8 × 12 − 19?
4. 4.Ira walks 4 km North, then turns left and walks 3 km. How far is she from the starting point now, in a straight line (in km)?
5. 5.Marks in a maths test (out of 50): Kabir 23, Nisha 27, Karan 36, Tara 47, Omkar 50. Who has the fewest marks? (a) Kabir (b) Karan (c) Omkar (d) Nisha
6. 6.Statements: All rings are caps. All balls are caps. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
7. 7.If FISH is written as GRHE, how is COLD written in the same code? (a) DLOC (b) EMPD (c) BNKC (d) CKNB
8. 8.Two standard dice show 4 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
9. 9.Riya is older than Aisha. Saanvi is older than Riya. Ananya is younger than Aisha. Who is the youngest? (a) Aisha (b) Riya (c) Ananya (d) Saanvi
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 18 + 4 × 7?
11. 11.1 January 2038 is a Friday. What day of the week is 22 April 2038? (a) Thursday (b) Saturday (c) Wednesday (d) Friday
12. 12.Two standard dice show 3 and 4 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
13. 13.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: 86 16 81 39 57 77. After step 3, what is the 5th number from the left?
14. 14.Marks in a maths test (out of 50): Neel 24, Meera 38, Tara 23, Arjun 20, Ishaan 22. What is the total for all five children?
15. 15.Statements: No rings are caps. All shoes are caps. Conclusion: No rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 18 × 14 ÷ 12?
17. 17.Aarav is a boy. How is Aarav’s sister’s son related to Aarav? (a) brother (b) cousin (c) son (d) nephew
18. 18.Farhan is taller than Aarav. Zoya is shorter than Aarav. Who is the tallest? (a) Zoya (b) Farhan (c) Aarav
19. 19.A clock shows 3:34. What time does it show in a mirror? (a) 9:34 (b) 8:26 (c) 7:26 (d) 9:26
20. 20.Five friends (Farhan, Ira, Karan, Neel and Omkar) sit in a row. Left and right are as you look at them. Karan sits somewhere to the left of Neel. Ira sits next to both Karan and Neel. Ira sits somewhere to the left of Farhan. Karan sits at the left end. Omkar sits at the right end. Who sits just to the left of Omkar? (a) Omkar (b) Farhan (c) Karan (d) Ira
21. 21.How many degrees does the hour hand of a clock turn in 41 minutes? =
22. 22.Priya runs slower than Ishaan. Priya runs faster than Diya. Who runs the slowest? (a) Diya (b) Priya (c) Ishaan
23. 23.Two standard dice show 6 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
24. 24.Two standard dice show 1 and 2 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
25. 25.Ananya runs faster than Siddharth. Manav runs faster than Ananya. Rahul runs faster than Manav. Who runs the slowest? (a) Manav (b) Ananya (c) Siddharth (d) Rahul
26. 26.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have at least one painted face?
27. 27.How many degrees does the minute hand of a clock turn in 48 minutes? =
28. 28.Each person always tells the truth or always lies. Saanvi says: “Arjun is a liar.” Arjun says: “Saanvi and I are different kinds.” Is Arjun a truth-teller or a liar? (a) truth-teller (b) liar
29. 29.Diya, Pooja and Neel each have a different pet: parrot, cat or rabbit. Pooja does not have the rabbit. Neel does not have the cat. Diya does not have the cat. Neel does not have the rabbit. Which pet does Pooja have? (a) parrot (b) cat (c) rabbit
30. 30.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 9. What comes out after step 3?
31. 31.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have exactly two painted faces?
32. 32.If LAMP is written as ROCN, how is FROG written in the same code? (a) IQTH (b) GORF (c) HTQI (d) EMPD
33. 33.Five friends (Isha, Priya, Rahul, Riya and Zoya) sit in a row. Left and right are as you look at them. Priya does not sit at either end. Zoya sits somewhere to the left of Rahul. Zoya sits somewhere to the left of Priya. Riya sits next to both Zoya and Priya. Isha does not sit at either end. Who sits at the left end? (a) Priya (b) Zoya (c) Isha (d) Rahul
34. 34.A number machine multiplies a number by 2 and then takes away 2. Each output goes back in as the next input. Start with 3. What comes out after step 2?
35. 35.Pooja is older than Rahul. Rahul is older than Tara. Who is the second youngest? (a) Tara (b) Pooja (c) Rahul
36. 36.Each person always tells the truth or always lies. Omkar says: “Rahul and I both tell the truth.” Rahul says: “Omkar and I are the same kind.” Is Omkar a truth-teller or a liar? (a) truth-teller (b) liar
37. 37.A clock shows 7:34. What time does it show in a mirror? (a) 3:26 (b) 5:26 (c) 5:34 (d) 4:26
38. 38.If BELL is written as MMFC, how is PEN written in the same code? (a) MDO (b) OFQ (c) QFO (d) NEP
39. 39.Four friends (Manav, Myra, Pooja and Tara) sit in a row. Left and right are as you look at them. Tara sits next to both Manav and Pooja. Manav does not sit at either end. Myra sits somewhere to the left of Tara. Who sits just to the right of Manav? (a) Myra (b) Tara (c) Pooja (d) Manav
40. 40.Runs scored in a cricket match: Farhan 11, Tara 7, Karan 55, Riya 16, Neel 6. What is the difference between the highest and the lowest?

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