Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 134 · 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.Each person always tells the truth or always lies. Aditya says: “Tara and I both tell the truth.” Tara says: “Aditya is a liar.” Is Tara a truth-teller or a liar? (a) truth-teller (b) liar
2. 2.Statements: No rings are bags. All bags are balls. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
3. 3.In a group of 26 children, 10 enjoy drawing, 17 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
4. 4.On a standard dice, opposite faces add up to 7. The dice shows 4 on top. What number is on the bottom face?
5. 5.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) D (b) L (c) S (d) M
6. 6.Vivaan, Saanvi and Ira each have a different pet: rabbit, dog or tortoise. Saanvi does not have the rabbit. Ira does not have the dog. Vivaan does not have the rabbit. Vivaan does not have the tortoise. Which pet does Saanvi have? (a) rabbit (b) dog (c) tortoise
7. 7.Kavya runs slower than Rohan. Rohan runs slower than Yash. Who runs the second slowest? (a) Yash (b) Kavya (c) Rohan
8. 8.Runs scored in a cricket match: Karan 36, Kabir 49, Kavya 15, Farhan 48, Nisha 18. How many children have more than 15 runs?
9. 9.In a group of 53 children, 28 play chess, 20 play carrom and 8 play both. How many play only chess?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 5 + 12 − 5?
11. 11.In a group of 37 children, 22 sing Hindi songs, 17 sing English songs and 12 sing both. How many sing only Hindi songs?
12. 12.If RAIN is written as NIAR, how is MILK written in the same code? (a) NJML (b) JKHL (c) LMJN (d) KLIM
13. 13.Each person always tells the truth or always lies. Aisha says: “Dev and I are different kinds.” Dev says: “Aisha is a liar.” Vivaan says: “Dev is a liar.” Is Dev a truth-teller or a liar? (a) truth-teller (b) liar
14. 14.A clock shows 7:16. What time will it show 117 minutes later? (a) 9:13 (b) 9:03 (c) 10:13 (d) 9:23
15. 15.Four friends (Arjun, Kabir, Pooja and Saanvi) sit in a row. Left and right are as you look at them. Arjun sits just to the right of Pooja. Pooja sits somewhere to the left of Kabir. Kabir sits just to the right of Arjun. Kabir sits next to both Arjun and Saanvi. Who sits at the right end? (a) Saanvi (b) Kabir (c) Pooja (d) Arjun
16. 16.Pooja, Tara and Kabir each play a different game: cricket, chess or football. Kabir does not play chess. Kabir does not play football. Tara does not play football. Which game does Kabir play? (a) cricket (b) chess (c) football
17. 17.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: 69 28 89 19 34 92. After step 3, what is the 1st number from the left?
18. 18.Find the missing number. The same rule works in every row or in every column.
    8 | 6 | 48
    ? | 2 | 10
    5 | 7 | 35
19. 19.In a group of 34 children, 17 sing Hindi songs, 17 sing English songs and 6 sing both. How many sing exactly one of the two?
20. 20.Riya is shorter than Yash. Siddharth is taller than Yash. Riya is taller than Tara. Who is the tallest? (a) Yash (b) Tara (c) Riya (d) Siddharth
21. 21.Each person always tells the truth or always lies. Zoya says: “At least one of us two, Meera or I, is a liar.” Meera says: “Zoya is a liar.” Is Zoya a truth-teller or a liar? (a) truth-teller (b) liar
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 12 × 5 − 11?
23. 23.If RAIN is written as OJBS, how is DOG written in the same code? (a) HPE (b) EPH (c) FNC (d) GOD
24. 24.On a standard dice, opposite faces add up to 7. The dice shows 5 on top. What number is on the bottom face?
25. 25.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    11 | 10 | 15
    16 | 12 | 8
    9 | ? | 13
26. 26.Books read in the summer holidays: Omkar 7, Priya 20, Dev 23, Kabir 11, Siddharth 8. Who has the most books? (a) Siddharth (b) Priya (c) Omkar (d) Dev
27. 27.Each person always tells the truth or always lies. Manav says: “Dev and I are different kinds.” Dev says: “Manav tells the truth.” Is Dev a truth-teller or a liar? (a) truth-teller (b) liar
28. 28.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) T (b) N (c) U (d) H
29. 29.Kites flown at Makar Sankranti: Tara 18, Ira 6, Aarav 4, Rohan 3, Meera 2. What is the total for all five children?
30. 30.In a group of 38 grown-ups, 27 drink tea, 14 drink coffee and 11 drink both. How many drink only coffee?
31. 31.I am a 2-digit number. My digits add up to 5 and my tens digit is 1 more than my ones digit. What number am I?
32. 32.Marks in a maths test (out of 50): Dev 33, Arjun 28, Aditya 39, Ananya 15, Manav 42. What is the difference between the highest and the lowest?
33. 33.Three friends (Dev, Neel and Pooja) sit in a row. Left and right are as you look at them. Pooja does not sit at either end. Dev sits somewhere to the left of Neel. Who sits at the right end? (a) Dev (b) Pooja (c) Neel
34. 34.A clock shows 10:12. What time does it show in a mirror? (a) 2:12 (b) 1:48 (c) 2:48 (d) 12:48
35. 35.Kavya is a girl. How is Kavya’s son’s wife related to Kavya? (a) niece (b) sister-in-law (c) daughter (d) daughter-in-law
36. 36.What is the smaller angle between the hour hand and the minute hand at 9:27? (in degrees) =
37. 37.A number machine multiplies a number by 3 and then takes away 1. Each output goes back in as the next input. Start with 9. What comes out after step 2?
38. 38.Marks in a maths test (out of 50): Siddharth 30, Riya 47, Arjun 27, Kabir 19, Ishaan 24. Who has the fewest marks? (a) Arjun (b) Riya (c) Kabir (d) Siddharth
39. 39.Pooja walks 8 m East, turns right and walks 24 m, then turns right again and walks 1 m. How far is she from the starting point now, in a straight line (in m)?
40. 40.Omkar is a boy. How is Omkar’s father’s only son’s sister related to Omkar? (a) mother (b) aunt (c) sister (d) cousin

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