Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 558 · 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.Which number is the odd one out: 13, 88, 83, 43? (a) 13 (b) 88 (c) 83 (d) 43
2. 2.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 7. What comes out after step 3?
3. 3.Meera runs slower than Aisha. Pooja runs faster than Aisha. Who runs the second fastest? (a) Aisha (b) Pooja (c) Meera
4. 4.Four friends (Myra, Saanvi, Siddharth and Vivaan) sit in a row. Left and right are as you look at them. Saanvi sits somewhere to the left of Siddharth. Vivaan sits next to both Myra and Siddharth. Siddharth sits at the right end. Who sits at the left end? (a) Saanvi (b) Myra (c) Vivaan (d) Siddharth
5. 5.Each person always tells the truth or always lies. Myra says: “Aarav is a liar.” Aarav says: “At least one of us two, Myra or I, is a liar.” Is Myra a truth-teller or a liar? (a) truth-teller (b) liar
6. 6.Rohan is a boy. How is Rohan’s sister’s son related to Rohan? (a) son (b) nephew (c) cousin (d) brother
7. 7.Three friends (Diya, Kavya and Vivaan) sit in a row. Left and right are as you look at them. Kavya sits somewhere to the left of Vivaan. Kavya sits at the left end. Vivaan sits just to the right of Diya. Who sits in the middle? (a) Kavya (b) Diya (c) Vivaan
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 16 × 3 ÷ 9?
9. 9.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) D (b) R (c) Q (d) J
10. 10.Statements: No rings are coins. All rings are pens. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
11. 11.Which number is the odd one out: 47, 97, 25, 37? (a) 47 (b) 97 (c) 25 (d) 37
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 14 ÷ 9 − 14?
13. 13.Statements: All coins are bags. Some bags are rings. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
14. 14.Statements: Some caps are cups. No toys are caps. Conclusion: Some toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
15. 15.Neel is taller than Manav. Manav is taller than Arjun. Dev is shorter than Arjun. Who is the second shortest? (a) Manav (b) Neel (c) Arjun (d) Dev
16. 16.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    11 | 18 | 13
    16 | 14 | 12
    15 | ? | 17
17. 17.Ira walks 7 m North, then turns left and walks 24 m. How far is she from the starting point now, in a straight line (in m)?
18. 18.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: 99 22 78 32 14 97. After step 3, what is the 1st number from the left?
19. 19.Neel runs faster than Aisha. Nisha runs slower than Aisha. Neel runs slower than Aarav. Who runs the slowest? (a) Aisha (b) Nisha (c) Neel (d) Aarav
20. 20.Which number is the odd one out: 23, 77, 64, 7? (a) 23 (b) 77 (c) 64 (d) 7
21. 21.Three friends (Kabir, Omkar and Zoya) sit in a row. Left and right are as you look at them. Zoya sits at the left end. Omkar sits at the right end. Who sits just to the right of Zoya? (a) Zoya (b) Kabir (c) Omkar
22. 22.Karan, Ananya and Nisha each play a different game: badminton, football or carrom. Nisha does not play football. Karan does not play badminton. Karan does not play carrom. Nisha does not play carrom. Who plays carrom? (a) Karan (b) Ananya (c) Nisha
23. 23.Aisha, Meera and Pooja each have a different pet: parrot, cat or rabbit. Meera does not have the parrot. Pooja does not have the cat. Aisha does not have the cat. Aisha does not have the parrot. Which pet does Aisha have? (a) parrot (b) cat (c) rabbit
24. 24.A wooden cube is painted on all six faces, then each edge is cut into 5 equal parts, making small cubes. How many small cubes have no painted face?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 3 − 20 ÷ 9?
26. 26.In a group of 50 children, 32 sing Hindi songs, 28 sing English songs and 12 sing both. How many sing exactly one of the two?
27. 27.Steps climbed in a minute: Tara 64, Aisha 80, Arjun 46, Diya 29, Aditya 66. Who has the fewest steps? (a) Arjun (b) Aisha (c) Diya (d) Tara
28. 28.The sum of three consecutive numbers is 51. What is the largest of them?
29. 29.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: 94 16 57 59 74 98. After step 4, what is the 3rd number from the left?
30. 30.Find the missing number. The same rule works in every row or in every column.
    6 | 5 | 5
    10 | 4 | ?
    1 | 14 | 1
31. 31.How many degrees does the minute hand of a clock turn in 52 minutes? =
32. 32.Which number is the odd one out: 55, 19, 5, 58? (a) 55 (b) 19 (c) 5 (d) 58
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 10 − 5 ÷ 3?
34. 34.How many degrees does the hour hand of a clock turn in 102 minutes? =
35. 35.Kabir walks 24 m West, then turns around and walks 16 m. How far is he from the starting point now (in m)?
36. 36.Kabir is a boy. How is Kabir’s mother’s only daughter related to Kabir? (a) aunt (b) sister (c) niece (d) mother
37. 37.Which number is the odd one out: 29, 23, 65, 13? (a) 29 (b) 23 (c) 65 (d) 13
38. 38.If BELL is written as YVOO, how is BALL written in the same code? (a) ZAPP (b) XYNN (c) YZOO (d) CBMM
39. 39.Rule: If Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan scores above 90. What can you say about “Ishaan gets a gold star”? (a) must be true (b) must be false (c) can't tell
40. 40.Which number is the odd one out: 29, 17, 97, 75? (a) 29 (b) 17 (c) 97 (d) 75

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