Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 582 · 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: “At least one of us two, Priya or I, is a liar.” Priya says: “Ishaan is a liar.” Is Ishaan a truth-teller or a liar? (a) truth-teller (b) liar
2. 2.Pooja runs faster than Ira. Pooja runs slower than Kabir. Ira runs faster than Tara. Who runs the slowest? (a) Ira (b) Kabir (c) Pooja (d) Tara
3. 3.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =
4. 4.A clock shows 1:10. What time does it show in a mirror? (a) 9:50 (b) 10:50 (c) 11:50 (d) 11:10
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: 64 17 95 26 37 62. After step 2, what is the 1st number from the left?
6. 6.Find the missing number. The same rule works in every row or in every column.
   3 | 14 | 11
   ? | 4 | 18
   15 | 18 | 29
7. 7.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun does not finish the homework. What can you say about “Arjun does not go to the park”? (a) must be true (b) must be false (c) can't tell
8. 8.Two standard dice show 1 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
9. 9.Find the missing number. The same rule works in every row or in every column.
   9 | 8 | 72
   7 | ? | 63
   4 | 7 | 28
10. 10.Is 2054 a leap year? (a) Yes (b) No
11. 11.Two standard dice show 6 and 6 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
12. 12.Vivaan is a boy. How is Vivaan’s sister’s son related to Vivaan? (a) brother (b) son (c) cousin (d) nephew
13. 13.Find the missing number. The same rule works in every row or in every column.
    3 | 4 | 6
    1 | 6 | 6
    ? | 1 | 2
14. 14.Which number is the odd one out: 53, 97, 46, 67? (a) 53 (b) 97 (c) 46 (d) 67
15. 15.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 3. What comes out after step 2?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 17 − 18 ÷ 6?
17. 17.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) O (b) M (c) R (d) P
18. 18.Steps climbed in a minute: Manav 20, Myra 79, Omkar 48, Isha 61, Arjun 36. What is the difference between the highest and the lowest?
19. 19.Which number is the odd one out: 54, 7, 18, 27? (a) 54 (b) 7 (c) 18 (d) 27
20. 20.Find the missing number. The same rule works in every row or in every column.
    9 | 9 | 18
    6 | 12 | ?
    14 | 10 | 24
21. 21.Statements: No balls are bells. All caps are balls. Conclusion: No caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
22. 22.On a standard dice, opposite faces add up to 7. The dice shows 4 on top. What number is on the bottom face?
23. 23.Which capital letter looks exactly the same in a mirror? (a) B (b) I (c) F (d) Q
24. 24.Vivaan is older than Priya. Vivaan is younger than Kavya. Kavya is younger than Nisha. Who is the second oldest? (a) Kavya (b) Nisha (c) Vivaan (d) Priya
25. 25.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) H (b) G (c) J (d) P
26. 26.A clock shows 10:22. What time will it show 56 minutes later? (a) 11:28 (b) 12:18 (c) 11:08 (d) 11:18
27. 27.If TOYS is written as SYOT, how is DESK written in the same code? (a) JRDC (b) LTFE (c) EFTL (d) KSED
28. 28.If HAND is written as FPCJ, how is MOON written in the same code? (a) OQQP (b) LMMK (c) PQQO (d) NOOM
29. 29.I am a 2-digit number. My digits add up to 13. If you swap my two digits, the new number is 27 more than me. What number am I?
30. 30.Three friends (Myra, Omkar and Pooja) sit in a row. Left and right are as you look at them. Myra sits somewhere to the left of Omkar. Omkar sits at the right end. Omkar sits just to the right of Pooja. Who sits just to the left of Pooja? (a) Pooja (b) Myra (c) Omkar
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 8 ÷ 9 − 16?
32. 32.A clock shows 2:44. What time will it show 40 minutes later? (a) 4:24 (b) 3:24 (c) 3:14 (d) 3:34
33. 33.Today is Monday. What day of the week will it be 54 days from today? (a) Sunday (b) Saturday (c) Friday (d) Monday
34. 34.Yash is older than Rahul. Pooja is older than Yash. Who is the second oldest? (a) Yash (b) Rahul (c) Pooja
35. 35.1 January 2034 is a Sunday. What day of the week is 7 May 2034? (a) Monday (b) Tuesday (c) Sunday (d) Saturday
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 11 − 5 + 5?
37. 37.Which number is the odd one out: 17, 83, 89, 12? (a) 17 (b) 83 (c) 89 (d) 12
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 8 × 6 − 15?
39. 39.Omkar is a boy. How is Omkar’s father’s only son’s sister related to Omkar? (a) mother (b) cousin (c) aunt (d) sister
40. 40.Find the missing number. The same rule works in every row or in every column.
    2 | 18 | 3
    7 | 4 | 20
    9 | ? | 23

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