Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 368 · 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.What is the smaller angle between the hour hand and the minute hand at 6:10? (in degrees) =
2. 2.A clock shows 9:02. What time will it show 153 minutes later? (a) 11:25 (b) 11:45 (c) 11:35 (d) 12:35
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 15 × 8 ÷ 7?
4. 4.Farhan is lighter than Ira. Karan is lighter than Manav. Karan is heavier than Ira. Who is the second heaviest? (a) Karan (b) Farhan (c) Ira (d) Manav
5. 5.Find the missing number. The same rule works in every row or in every column.
   2 | 8 | 16
   ? | 7 | 56
   2 | 7 | 14
6. 6.Trees planted in a week: Yash 7, Kavya 6, Vivaan 29, Tara 5, Arjun 15. What is the difference between the highest and the lowest?
7. 7.In a group of 40 children, 16 sing Hindi songs, 21 sing English songs and 10 sing both. How many sing at least one of the two?
8. 8.Today is Friday. What day of the week will it be 13 days from today? (a) Thursday (b) Saturday (c) Friday (d) Wednesday
9. 9.If NEST is written as MVHG, how is FISH written in the same code? (a) VSIT (b) URHS (c) GJTI (d) TQGR
10. 10.Rule: If the traffic light is red, then the cars stop. Fact: The cars do not stop. What can you say about “The traffic light is not red”? (a) must be true (b) must be false (c) can't tell
11. 11.Karan is younger than Zoya. Myra is older than Zoya. Who is the oldest? (a) Karan (b) Myra (c) Zoya
12. 12.A clock shows 4:00. What time does it show in a mirror? (a) 9:00 (b) 7:00 (c) 4:00 (d) 8:00
13. 13.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is not red. What can you say about “The cars do not stop”? (a) must be true (b) must be false (c) can't tell
14. 14.In a group of 32 children, 20 play cricket, 12 play football and 8 play both. How many play exactly one of the two?
15. 15.Rule: If Yash scores above 90, then Yash gets a gold star. Fact: Yash scores above 90. What can you say about “Yash gets a gold star”? (a) must be true (b) must be false (c) can't tell
16. 16.Ananya is a girl. How is Ananya’s brother’s daughter related to Ananya? (a) cousin (b) sister (c) niece (d) daughter
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 2 − 13 ÷ 12?
18. 18.Riya, Yash and Pooja each have a different pet: tortoise, rabbit or parrot. Yash does not have the rabbit. Yash does not have the parrot. Riya does not have the rabbit. Which pet does Pooja have? (a) tortoise (b) rabbit (c) parrot
19. 19.Books read in the summer holidays: Saanvi 8, Siddharth 16, Kabir 19, Zoya 18, Yash 10. Who has the most books? (a) Kabir (b) Zoya (c) Saanvi (d) Yash
20. 20.How many degrees does the minute hand of a clock turn in 58 minutes? =
21. 21.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
22. 22.Statements: No balls are shoes. No cups are shoes. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 × 3 − 20 + 5?
24. 24.Statements: No pens are bags. All bags are boxes. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
25. 25.Find the missing number. The same rule works in every row or in every column.
    ? | 4 | 36
    3 | 8 | 24
    5 | 2 | 10
26. 26.Find the missing number. The same rule works in every row or in every column.
    5 | 9 | 45
    ? | 2 | 18
    5 | 4 | 20
27. 27.Karan is a boy. How is Karan’s father’s only son’s sister related to Karan? (a) cousin (b) aunt (c) mother (d) sister
28. 28.The sum of three consecutive numbers is 63. What is the largest of them?
29. 29.Books read in the summer holidays: Ananya 28, Arjun 19, Farhan 3, Ishaan 17, Pooja 13. Who has the most books? (a) Farhan (b) Ananya (c) Arjun (d) Pooja
30. 30.Which number is the odd one out: 70, 53, 2, 71? (a) 70 (b) 53 (c) 2 (d) 71
31. 31.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 6. What comes out after step 3?
32. 32.Each person always tells the truth or always lies. Isha says: “Farhan is a liar.” Farhan says: “At least one of us two, Isha or I, is a liar.” Is Isha a truth-teller or a liar? (a) truth-teller (b) liar
33. 33.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) T (b) C (c) A (d) S
34. 34.Kavya walks 10 m East, then turns around and walks 5 m. How far is she from the starting point now (in m)?
35. 35.Nisha is facing North. She turns right, then turns left, then turns right. Which direction is she facing now? (a) North (b) East (c) South (d) West
36. 36.I am a 2-digit number. My digits add up to 5. If you swap my two digits, the new number is 27 more than me. What number am I?
37. 37.A number machine multiplies a number by 2 and then takes away 2. Each output goes back in as the next input. Start with 3. What comes out after step 2?
38. 38.Find the missing number. The same rule works in every row or in every column.
    13 | 2 | 15
    1 | 6 | 7
    ? | 16 | 17
39. 39.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: 82 39 91 11 95 60. After step 2, what is the 5th number from the left?
40. 40.A clock shows 11:39. What time will it show 97 minutes later? (a) 1:06 (b) 2:16 (c) 1:16 (d) 1:26

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