Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 956 · 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.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?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 20 − 15 + 10?
3. 3.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 9 + 2 × 2?
5. 5.Kabir, Pooja and Riya each have a different pet: parrot, cat or tortoise. Riya does not have the parrot. Riya does not have the tortoise. Pooja does not have the parrot. Who has the tortoise? (a) Kabir (b) Pooja (c) Riya
6. 6.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
7. 7.Find the missing number. The same rule works in every row or in every column.
   7 | 12 | 19
   6 | 4 | 10
   ? | 20 | 35
8. 8.Each person always tells the truth or always lies. Karan says: “Aisha and I are different kinds.” Aisha says: “Karan is a liar.” Is Karan a truth-teller or a liar? (a) truth-teller (b) liar
9. 9.1 January 2028 is a Saturday. What day of the week is 26 November 2028? (a) Sunday (b) Monday (c) Saturday (d) Tuesday
10. 10.Statements: All bells are keys. All bags are bells. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
11. 11.If JUMP is written as ITLO, how is RAIN written in the same code? (a) SBJO (b) PYGL (c) QZHM (d) RAIN
12. 12.Marks in a maths test (out of 50): Rohan 33, Kabir 50, Nisha 43, Aarav 24, Rahul 47. Who has the fewest marks? (a) Nisha (b) Kabir (c) Aarav (d) Rahul
13. 13.Trees planted in a week: Riya 13, Siddharth 24, Rohan 33, Aisha 29, Saanvi 23. How many more trees does Siddharth have than Riya?
14. 14.I am a 2-digit number. My digits add up to 16. If you swap my two digits, the new number is 18 more than me. What number am I?
15. 15.In a group of 54 children, 25 enjoy drawing, 31 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 3 ÷ 9 + 7?
17. 17.Which capital letter does NOT look the same in a mirror? (a) W (b) T (c) J (d) H
18. 18.A clock shows 11:40. What time does it show in a mirror? (a) 1:20 (b) 1:40 (c) 12:20 (d) 11:20
19. 19.Today is Monday. What day of the week will it be 70 days from today? (a) Tuesday (b) Monday (c) Wednesday (d) Sunday
20. 20.Five friends (Aarav, Ananya, Diya, Riya and Sneha) sit in a row. Left and right are as you look at them. Aarav does not sit at either end. Sneha sits next to both Riya and Ananya. Sneha sits just to the right of Riya. Sneha sits somewhere to the left of Diya. Who sits in the middle? (a) Ananya (b) Diya (c) Aarav (d) Sneha
21. 21.Which number is the odd one out: 2, 14, 31, 73? (a) 2 (b) 14 (c) 31 (d) 73
22. 22.Which capital letter looks exactly the same in a mirror? (a) U (b) C (c) S (d) D
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 18 ÷ 8 + 7?
24. 24.Find the missing number. The same rule works in every row or in every column.
    7 | 11 | 3
    16 | 1 | ?
    16 | 4 | 1
25. 25.In a group of 47 children, 18 sing Hindi songs, 24 sing English songs and 4 sing both. How many sing exactly one of the two?
26. 26.Arjun is older than Ishaan. Ishaan is older than Sneha. Arjun is younger than Siddharth. Who is the second youngest? (a) Arjun (b) Sneha (c) Ishaan (d) Siddharth
27. 27.Ishaan walks 6 m East, then turns left and walks 13 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
28. 28.Zoya walks 12 m West, then turns left and walks 16 m. How far is she from the starting point now, in a straight line (in m)?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 19 + 16 ÷ 20?
30. 30.Priya runs slower than Meera. Meera runs slower than Zoya. Who runs the second slowest? (a) Priya (b) Meera (c) Zoya
31. 31.A wooden cube is painted on all six faces, then each edge is cut into 3 equal parts, making small cubes. How many small cubes have at least one painted face?
32. 32.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: 31 30 54 72 35 60. After step 3, what is the 1st number from the left?
33. 33.If JUMP is written as QFNK, how is GOLD written in the same code? (a) HPME (b) UMPX (c) TLOW (d) SKNV
34. 34.On a standard dice, opposite faces add up to 7. The dice shows 2 on top. What number is on the bottom face?
35. 35.Zoya, Rohan and Arjun each have a bag of a different colour: red, blue or white. Arjun’s bag is not blue. Arjun’s bag is not white. Rohan’s bag is not white. What colour is Arjun’s bag? (a) red (b) blue (c) white
36. 36.Books read in the summer holidays: Vivaan 22, Yash 7, Arjun 18, Neel 9, Ishaan 3. Who has the fewest books? (a) Vivaan (b) Neel (c) Ishaan (d) Arjun
37. 37.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 8. What comes out after step 3?
38. 38.Which capital letter looks exactly the same in a mirror? (a) G (b) F (c) R (d) X
39. 39.Vivaan, Isha and Ananya each play a different game: cricket, football or carrom. Isha does not play cricket. Vivaan does not play football. Vivaan does not play cricket. Who plays carrom? (a) Vivaan (b) Isha (c) Ananya
40. 40.Omkar is shorter than Yash. Omkar is taller than Sneha. Yash is shorter than Isha. Who is the tallest? (a) Isha (b) Omkar (c) Sneha (d) Yash

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