Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 326 · 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.On a standard dice, opposite faces add up to 7. The dice shows 4 on top. What number is on the bottom face?
2. 2.Arjun is facing North. He turns left, then turns left. Which direction is he facing now? (a) North (b) East (c) South (d) West
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: 94 43 77 19 74 61. After step 4, what is the 6th number from the left?
4. 4.Statements: All bells are kites. All bells are pens. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 11 + 12 × 4?
6. 6.In a group of 53 grown-ups, 29 drink tea, 19 drink coffee and 9 drink both. How many drink at least one of the two?
7. 7.A clock shows 3:57. What time does it show in a mirror? (a) 8:03 (b) 9:57 (c) 7:03 (d) 9:03
8. 8.Which capital letter looks exactly the same in a mirror? (a) O (b) B (c) S (d) J
9. 9.Rule: If Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan gets a gold star. What can you say about “Rohan does not score above 90”? (a) must be true (b) must be false (c) can't tell
10. 10.I am a 2-digit number. My digits add up to 10. If you swap my two digits, the new number is 18 more than me. What number am I?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 20 − 5 + 8?
12. 12.A clock shows 2:59. What time does it show in a mirror? (a) 9:01 (b) 10:59 (c) 8:01 (d) 10:01
13. 13.Find the missing number. The same rule works in every row or in every column.
    9 | 7 | 1
    7 | 17 | 19
    16 | ? | 20
14. 14.A clock shows 12:48. What time will it show 59 minutes later? (a) 2:47 (b) 1:57 (c) 1:47 (d) 1:37
15. 15.Find the missing number. The same rule works in every row or in every column.
    7 | 8 | 56
    4 | ? | 12
    4 | 4 | 16
16. 16.1 January 2004 is a Thursday. What day of the week is 12 March 2004? (a) Thursday (b) Sunday (c) Friday (d) Saturday
17. 17.In a group of 30 children, 16 sing Hindi songs, 7 sing English songs and 4 sing both. How many sing at least one of the two?
18. 18.Five friends (Ira, Kabir, Priya, Siddharth and Tara) sit in a row. Left and right are as you look at them. Ira sits just to the right of Priya. Tara does not sit at either end. Priya sits somewhere to the left of Kabir. Priya sits somewhere to the left of Tara. Kabir sits next to both Tara and Siddharth. Who sits at the right end? (a) Priya (b) Siddharth (c) Tara (d) Ira
19. 19.Ishaan, Diya and Arjun each have a bag of a different colour: yellow, green or red. Ishaan’s bag is not green. Arjun’s bag is not red. Arjun’s bag is not yellow. Ishaan’s bag is not yellow. What colour is Ishaan’s bag? (a) yellow (b) green (c) red
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 15 + 12 × 13?
21. 21.Statements: Some balls are bags. No caps are bags. Conclusion: All caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
22. 22.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    7 | 2 | 9
    8 | 6 | 4
    ? | 10 | 5
23. 23.Five friends (Aditya, Farhan, Kavya, Rohan and Sneha) sit in a row. Left and right are as you look at them. Sneha sits just to the right of Farhan. Farhan sits somewhere to the left of Aditya. Rohan sits next to both Aditya and Kavya. Aditya sits just to the right of Sneha. Who sits at the left end? (a) Farhan (b) Kavya (c) Rohan (d) Sneha
24. 24.If FROG is written as GORF, how is PARK written in the same code? (a) QBSL (b) LSBQ (c) KRAP (d) JQZO
25. 25.Omkar is a boy. How is Omkar’s sister’s daughter related to Omkar? (a) niece (b) aunt (c) sister (d) daughter
26. 26.Each person always tells the truth or always lies. Manav says: “Karan and I are the same kind.” Karan says: “Manav is a liar.” Is Manav a truth-teller or a liar? (a) truth-teller (b) liar
27. 27.On a standard dice, opposite faces add up to 7. The dice shows 6 on top. What number is on the bottom face?
28. 28.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
29. 29.Ira, Karan and Saanvi each play a different game: carrom, cricket or badminton. Saanvi does not play badminton. Karan does not play carrom. Ira does not play cricket. Ira does not play badminton. Which game does Ira play? (a) carrom (b) cricket (c) badminton
30. 30.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya does not go to the park. What can you say about “Ananya finishes the homework”? (a) must be true (b) must be false (c) can't tell
31. 31.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 5. What comes out after step 2?
32. 32.Which number is the odd one out: 88, 37, 89, 47? (a) 88 (b) 37 (c) 89 (d) 47
33. 33.If DOG is written as GOD, how is GOLD written in the same code? (a) CKNF (b) DLOG (c) EMPH (d) HPME
34. 34.How many degrees does the hour hand of a clock turn in 155 minutes? =
35. 35.Which number is the odd one out: 23, 11, 2, 4? (a) 23 (b) 11 (c) 2 (d) 4
36. 36.Statements: Some boxes are shoes. No shoes are rings. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
37. 37.In a group of 31 children, 9 play chess, 20 play carrom and 5 play both. How many play exactly one of the two?
38. 38.Tara is a girl. How is Tara’s brother’s daughter related to Tara? (a) niece (b) cousin (c) sister (d) daughter
39. 39.The sum of three consecutive numbers is 96. What is the smallest of them?
40. 40.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell

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