Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 825 · 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.Rule: If Isha wins the match, then Isha gets a medal. Fact: Isha wins the match. What can you say about “Isha gets a medal”? (a) must be true (b) must be false (c) can't tell
2. 2.In a group of 51 children, 31 play cricket, 28 play football and 12 play both. How many play only cricket?
3. 3.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
4. 4.A number machine multiplies a number by 3 and then adds 4. Each output goes back in as the next input. Start with 3. What comes out after step 2?
5. 5.Which number is the odd one out: 23, 67, 59, 49? (a) 23 (b) 67 (c) 59 (d) 49
6. 6.In a group of 42 children, 29 enjoy drawing, 16 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
7. 7.Which number is the odd one out: 67, 79, 55, 19? (a) 67 (b) 79 (c) 55 (d) 19
8. 8.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
9. 9.Diya walks 8 m South, turns left and walks 8 m, then turns left again and walks 2 m. How far is she from the starting point now, in a straight line (in m)?
10. 10.In a group of 60 children, 29 play chess, 29 play carrom and 12 play both. How many play exactly one of the two?
11. 11.Which capital letter does NOT look the same in a mirror? (a) V (b) A (c) J (d) Y
12. 12.Which number is the odd one out: 22, 37, 13, 29? (a) 22 (b) 37 (c) 13 (d) 29
13. 13.Riya runs slower than Isha. Siddharth runs slower than Riya. Who runs the second slowest? (a) Isha (b) Riya (c) Siddharth
14. 14.In a group of 48 children, 29 like mangoes, 19 like bananas and 11 like both. How many like only bananas?
15. 15.A clock shows 10:54. What time does it show in a mirror? (a) 12:06 (b) 1:06 (c) 2:54 (d) 2:06
16. 16.In a group of 24 grown-ups, 10 drink tea, 8 drink coffee and 2 drink both. How many drink only tea?
17. 17.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
18. 18.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 2. What comes out after step 3?
19. 19.Which number is the odd one out: 91, 70, 35, 38? (a) 91 (b) 70 (c) 35 (d) 38
20. 20.Isha, Kabir and Ira each have a bag of a different colour: white, red or blue. Ira’s bag is not blue. Isha’s bag is not red. Ira’s bag is not red. Whose bag is white? (a) Isha (b) Kabir (c) Ira
21. 21.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 9. What comes out after step 2?
22. 22.Find the missing number. The same rule works in every row or in every column.
    11 | 15 | 2
    13 | 11 | 19
    24 | 26 | ?
23. 23.In a group of 37 children, 14 play chess, 20 play carrom and 9 play both. How many play only carrom?
24. 24.Neel is lighter than Arjun. Kavya is heavier than Arjun. Who is the second heaviest? (a) Kavya (b) Arjun (c) Neel
25. 25.In a group of 42 children, 29 play cricket, 20 play football and 10 play both. How many play exactly one of the two?
26. 26.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    14 | ? | 10
    9 | 13 | 17
    16 | 11 | 12
27. 27.Nisha is heavier than Rohan. Meera is heavier than Nisha. Who is the second heaviest? (a) Rohan (b) Nisha (c) Meera
28. 28.On a standard dice, opposite faces add up to 7. The dice shows 6 on top. What number is on the bottom face?
29. 29.Each person always tells the truth or always lies. Farhan says: “Isha tells the truth.” Aisha says: “Farhan is a liar.” Isha says: “Aisha and I are different kinds.” Is Farhan a truth-teller or a liar? (a) truth-teller (b) liar
30. 30.Each person always tells the truth or always lies. Isha says: “Myra and I are the same kind.” Myra says: “Isha and I are different kinds.” Is Myra a truth-teller or a liar? (a) truth-teller (b) liar
31. 31.On a standard dice, opposite faces add up to 7. The dice shows 4 on top. What number is on the bottom face?
32. 32.Today is Monday. What day of the week will it be 24 days from today? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
33. 33.Siddharth is a boy. How is Siddharth’s sister’s son related to Siddharth? (a) son (b) brother (c) cousin (d) nephew
34. 34.Runs scored in a cricket match: Neel 11, Arjun 29, Ira 25, Pooja 30, Rohan 48. Who has the most runs? (a) Pooja (b) Ira (c) Neel (d) Rohan
35. 35.Neel, Siddharth and Karan each have a different pet: rabbit, tortoise or cat. Neel does not have the tortoise. Siddharth does not have the tortoise. Neel does not have the cat. Which pet does Neel have? (a) rabbit (b) tortoise (c) cat
36. 36.Find the missing number. The same rule works in every row or in every column.
    2 | 5 | 10
    9 | 5 | 45
    9 | ? | 36
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 7 − 17 × 17?
38. 38.Diya, Yash and Kavya each play a different game: chess, cricket or football. Diya does not play chess. Yash does not play cricket. Kavya does not play football. Yash does not play football. Which game does Yash play? (a) chess (b) cricket (c) football
39. 39.Kites flown at Makar Sankranti: Siddharth 25, Riya 3, Farhan 15, Rohan 7, Priya 8. What is the total for all five children?
40. 40.Four friends (Ananya, Ira, Kavya and Nisha) sit in a row. Left and right are as you look at them. Nisha sits somewhere to the left of Kavya. Ananya sits just to the right of Ira. Ananya does not sit at either end. Ira sits just to the right of Nisha. Who sits at the right end? (a) Ananya (b) Nisha (c) Ira (d) Kavya

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