Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 145 · 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.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 exactly two painted faces?
2. 2.Rule: If Kabir finishes the homework, then Kabir goes to the park. Fact: Kabir finishes the homework. What can you say about “Kabir goes to the park”? (a) must be true (b) must be false (c) can't tell
3. 3.Find the missing number. The same rule works in every row or in every column.
   ? | 14 | 3
   13 | 1 | 7
   7 | 3 | 11
4. 4.In a group of 15 children, 7 play cricket, 8 play football and 2 play both. How many play neither of the two?
5. 5.Rule: If Kavya finishes the homework, then Kavya goes to the park. Fact: Kavya goes to the park. What can you say about “Kavya finishes the homework”? (a) must be true (b) must be false (c) can't tell
6. 6.Books read in the summer holidays: Sneha 18, Priya 14, Ananya 21, Rohan 19, Siddharth 5. What is the difference between the highest and the lowest?
7. 7.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) Z (b) X (c) J (d) V
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 14 + 2 ÷ 10?
9. 9.Vivaan is older than Farhan. Vivaan is younger than Ira. Who is the youngest? (a) Vivaan (b) Farhan (c) Ira
10. 10.Is 2008 a leap year? (a) Yes (b) No
11. 11.Statements: No keys are bags. Some keys are rings. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
12. 12.Steps climbed in a minute: Neel 81, Karan 72, Rohan 29, Saanvi 84, Manav 22. How many more steps does Rohan have than Manav?
13. 13.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
14. 14.Which number is the odd one out: 71, 67, 68, 17? (a) 71 (b) 67 (c) 68 (d) 17
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 7. What comes out after step 2?
16. 16.If CAT is written as AYR, how is BOOK written in the same code? (a) YLLH (b) ZMMI (c) DQQM (d) ANNJ
17. 17.Tara is younger than Neel. Neel is younger than Rahul. Diya is younger than Tara. Who is the second oldest? (a) Neel (b) Rahul (c) Diya (d) Tara
18. 18.Ananya is a girl. How is Ananya’s mother’s mother related to Ananya? (a) mother (b) aunt (c) grandmother (d) sister
19. 19.A clock shows 4:33. What time does it show in a mirror? (a) 6:27 (b) 8:27 (c) 7:27 (d) 8:33
20. 20.Steps climbed in a minute: Kabir 80, Arjun 56, Siddharth 25, Yash 49, Ishaan 28. What is the total for all five children?
21. 21.A clock shows 8:05. What time does it show in a mirror? (a) 4:05 (b) 2:55 (c) 4:55 (d) 3:55
22. 22.On a standard dice, opposite faces add up to 7. The dice shows 6 on top. What number is on the bottom face?
23. 23.In a group of 31 children, 18 play chess, 12 play carrom and 7 play both. How many play neither of the two?
24. 24.Find the missing number. The same rule works in every row or in every column.
    11 | 2 | ?
    4 | 18 | 22
    14 | 13 | 27
25. 25.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    5 | 15 | 13
    19 | ? | 3
    9 | 7 | 17
26. 26.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 9. What comes out after step 2?
27. 27.Priya runs faster than Aditya. Arjun runs faster than Farhan. Farhan runs faster than Priya. Who runs the slowest? (a) Arjun (b) Priya (c) Farhan (d) Aditya
28. 28.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: 26 78 17 11 75 49. After step 2, what is the 3rd number from the left?
29. 29.In a group of 33 children, 16 enjoy drawing, 20 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
30. 30.Each person always tells the truth or always lies. Manav says: “Dev tells the truth.” Dev says: “Aarav and I are different kinds.” Aarav says: “Manav is a liar.” Is Manav a truth-teller or a liar? (a) truth-teller (b) liar
31. 31.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 7. What comes out after step 2?
32. 32.Is 1800 a leap year? (a) Yes (b) No
33. 33.If KITE is written as PRGV, how is WIND written in the same code? (a) DRMW (b) CQLV (c) XJOE (d) ESNX
34. 34.In a group of 26 children, 20 play cricket, 7 play football and 4 play both. How many play neither of the two?
35. 35.Farhan, Yash and Aditya each play a different game: chess, cricket or carrom. Yash does not play cricket. Aditya does not play cricket. Yash does not play chess. Who plays carrom? (a) Farhan (b) Yash (c) Aditya
36. 36.Kites flown at Makar Sankranti: Yash 4, Ira 25, Aisha 8, Saanvi 21, Farhan 7. What is the total for all five children?
37. 37.How many degrees does the hour hand of a clock turn in 46 minutes? =
38. 38.A clock shows 8:39. What time does it show in a mirror? (a) 4:21 (b) 4:39 (c) 3:21 (d) 2:21
39. 39.Karan is facing South. He turns around (a half turn), then turns left, then turns left, then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
40. 40.Statements: No caps are cups. No cups are bags. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No

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