Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 486 · 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. Rohan says: “Saanvi is a liar.” Saanvi says: “Rohan and I both tell the truth.” Is Rohan a truth-teller or a liar? (a) truth-teller (b) liar
2. 2.Which capital letter looks exactly the same in a mirror? (a) O (b) D (c) P (d) R
3. 3.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: 19 96 70 54 23 21. After step 4, what is the 4th number from the left?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 6 × 15 − 6?
5. 5.Five friends (Aarav, Diya, Meera, Omkar and Rohan) sit in a row. Left and right are as you look at them. Diya sits next to both Meera and Rohan. Aarav sits somewhere to the left of Diya. Meera sits next to both Aarav and Diya. Aarav sits somewhere to the left of Omkar. Who sits at the left end? (a) Diya (b) Meera (c) Omkar (d) Aarav
6. 6.In a group of 33 children, 15 play cricket, 18 play football and 2 play both. How many play exactly one of the two?
7. 7.Rule: If Rahul finishes the homework, then Rahul goes to the park. Fact: Rahul does not go to the park. What can you say about “Rahul finishes the homework”? (a) must be true (b) must be false (c) can't tell
8. 8.Each person always tells the truth or always lies. Zoya says: “Sneha is a liar.” Sneha says: “Zoya and I are different kinds.” Is Zoya a truth-teller or a liar? (a) truth-teller (b) liar
9. 9.1 January 2019 is a Tuesday. What day of the week is 21 December 2019? (a) Monday (b) Saturday (c) Friday (d) Sunday
10. 10.In a group of 32 children, 20 sing Hindi songs, 14 sing English songs and 9 sing both. How many sing only Hindi songs?
11. 11.Each person always tells the truth or always lies. Nisha says: “At least one of us two, Ananya or I, is a liar.” Meera says: “Ananya and I are different kinds.” Ananya says: “Meera is a liar.” Is Nisha a truth-teller or a liar? (a) truth-teller (b) liar
12. 12.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) G (b) C (c) A (d) U
13. 13.Aditya, Kavya and Vivaan each play a different game: badminton, cricket or carrom. Vivaan does not play badminton. Kavya does not play badminton. Kavya does not play cricket. Who plays carrom? (a) Aditya (b) Kavya (c) Vivaan
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 6 + 3 × 7?
15. 15.Statements: All keys are cups. All keys are books. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
16. 16.Ishaan walks 27 m East, turns left and walks 7 m, then turns left again and walks 3 m. How far is he from the starting point now, in a straight line (in m)?
17. 17.Find the missing number. The same rule works in every row or in every column.
    9 | ? | 22
    15 | 11 | 26
    3 | 12 | 15
18. 18.Neel runs slower than Diya. Ananya runs faster than Diya. Zoya runs slower than Neel. Who runs the slowest? (a) Zoya (b) Diya (c) Ananya (d) Neel
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 2 × 3 + 3?
20. 20.Rohan walks 4 km South, then turns right and walks 3 km. How far is he from the starting point now, in a straight line (in km)?
21. 21.Arjun is a boy. How is Arjun’s son’s wife related to Arjun? (a) niece (b) daughter (c) sister-in-law (d) daughter-in-law
22. 22.Books read in the summer holidays: Aditya 28, Riya 25, Aarav 19, Arjun 22, Rohan 21. What is the total for all five children?
23. 23.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    15 | 30 | 27
    36 | 24 | 12
    ? | 18 | 33
24. 24.A clock shows 2:28. What time does it show in a mirror? (a) 9:32 (b) 10:32 (c) 8:32 (d) 10:28
25. 25.Statements: No toys are shoes. No caps are shoes. Conclusion: No toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
26. 26.Neel, Kavya and Farhan each have a bag of a different colour: yellow, green or red. Kavya’s bag is not yellow. Neel’s bag is not yellow. Neel’s bag is not green. What colour is Neel’s bag? (a) yellow (b) green (c) red
27. 27.Which number is the odd one out: 73, 37, 79, 20? (a) 73 (b) 37 (c) 79 (d) 20
28. 28.Today is Thursday. What day of the week will it be 79 days from today? (a) Monday (b) Sunday (c) Friday (d) Saturday
29. 29.A clock shows 5:51. What time does it show in a mirror? (a) 7:51 (b) 5:09 (c) 6:09 (d) 7:09
30. 30.Rahul is a boy. How is Rahul’s mother’s brother’s son related to Rahul? (a) nephew (b) brother (c) cousin (d) uncle
31. 31.The sum of three consecutive numbers is 141. What is the largest of them?
32. 32.I am a 2-digit number. My digits add up to 7. If you swap my two digits, the new number is 9 more than me. What number am I?
33. 33.Which number is the odd one out: 88, 11, 97, 89? (a) 88 (b) 11 (c) 97 (d) 89
34. 34.Each person always tells the truth or always lies. Ira says: “At least one of us two, Dev or I, is a liar.” Dev says: “Ira and I are the same kind.” Is Ira a truth-teller or a liar? (a) truth-teller (b) liar
35. 35.Aarav is younger than Aisha. Kavya is younger than Aarav. Who is the youngest? (a) Aisha (b) Aarav (c) Kavya
36. 36.If JUMP is written as QFNK, how is FISH written in the same code? (a) URHS (b) TQGR (c) VSIT (d) GJTI
37. 37.Which capital letter looks exactly the same in a mirror? (a) N (b) Y (c) B (d) G
38. 38.What is the smaller angle between the hour hand and the minute hand at 5:51? (in degrees) =
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 2 ÷ 3 × 3?
40. 40.If COLD is written as FNQE, how is BOOK written in the same code? (a) MQQD (b) KOOB (c) DQQM (d) IMMZ

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