Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 466 · 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. Ishaan says: “Priya is a liar.” Siddharth says: “Ishaan and I both tell the truth.” Priya says: “At least one of us two, Ishaan or I, is a liar.” Is Priya a truth-teller or a liar? (a) truth-teller (b) liar
2. 2.A clock shows 7:00. What time will it show 149 minutes later? (a) 9:39 (b) 9:19 (c) 9:29 (d) 10:29
3. 3.Ishaan walks 24 m North, then turns around and walks 20 m. How far is he from the starting point now (in m)?
4. 4.Which capital letter looks exactly the same in a mirror? (a) C (b) X (c) G (d) D
5. 5.A number machine multiplies a number by 3 and then takes away 2. Each output goes back in as the next input. Start with 2. What comes out after step 3?
6. 6.How many degrees does the minute hand of a clock turn in 4 minutes? =
7. 7.Each person always tells the truth or always lies. Pooja says: “Vivaan and I are different kinds.” Vivaan says: “Pooja tells the truth.” Is Pooja a truth-teller or a liar? (a) truth-teller (b) liar
8. 8.In a group of 50 children, 20 enjoy drawing, 29 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
9. 9.Each person always tells the truth or always lies. Nisha says: “Aditya and I are the same kind.” Aditya says: “Nisha is a liar.” Aisha says: “Nisha and I both tell the truth.” Is Aisha a truth-teller or a liar? (a) truth-teller (b) liar
10. 10.Karan runs faster than Yash. Ira runs faster than Karan. Who runs the slowest? (a) Karan (b) Ira (c) Yash
11. 11.Rule: If Manav scores above 90, then Manav gets a gold star. Fact: Manav gets a gold star. What can you say about “Manav scores above 90”? (a) must be true (b) must be false (c) can't tell
12. 12.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have exactly one painted face?
13. 13.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
14. 14.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: 49 61 14 40 12 88. After step 2, what is the 5th number from the left?
15. 15.In a group of 36 children, 10 enjoy drawing, 15 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
16. 16.Three friends (Farhan, Ira and Rohan) sit in a row. Left and right are as you look at them. Ira sits somewhere to the left of Farhan. Rohan sits next to both Ira and Farhan. Who sits just to the right of Rohan? (a) Ira (b) Rohan (c) Farhan
17. 17.Which number is the odd one out: 43, 66, 31, 79? (a) 43 (b) 66 (c) 31 (d) 79
18. 18.Vivaan is a boy. How is Vivaan’s mother’s only daughter related to Vivaan? (a) niece (b) aunt (c) sister (d) mother
19. 19.Statements: All coins are boxes. All boxes are balls. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
20. 20.Kites flown at Makar Sankranti: Saanvi 6, Myra 3, Ira 12, Manav 4, Rahul 23. What is the total for all five children?
21. 21.Vivaan is a boy. How is Vivaan’s father’s only son’s sister related to Vivaan? (a) sister (b) aunt (c) cousin (d) mother
22. 22.What is the smaller angle between the hour hand and the minute hand at 7:41? (in degrees) =
23. 23.Steps climbed in a minute: Myra 89, Saanvi 28, Isha 79, Vivaan 82, Ishaan 90. Who has the fewest steps? (a) Isha (b) Saanvi (c) Myra (d) Ishaan
24. 24.In a group of 34 children, 20 enjoy drawing, 19 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
25. 25.Two standard dice show 2 and 4 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
26. 26.Statements: All toys are kites. All toys are coins. Conclusion: No coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
27. 27.Yash walks 7 m South, then turns left and walks 3 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
28. 28.Which number is the odd one out: 14, 13, 73, 43? (a) 14 (b) 13 (c) 73 (d) 43
29. 29.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    4 | 18 | 8
    ? | 10 | 6
    12 | 2 | 16
30. 30.Statements: Some boxes are shoes. All boxes are rings. Conclusion: Some shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 12 × 8 − 5?
32. 32.Find the missing number. The same rule works in every row or in every column.
    4 | 18 | 22
    1 | ? | 13
    3 | 5 | 8
33. 33.Find the missing number. The same rule works in every row or in every column.
    9 | ? | 36
    7 | 5 | 35
    4 | 4 | 16
34. 34.Ira is a girl. How is Ira’s father’s father’s only son’s son related to Ira? (a) uncle (b) father (c) cousin (d) brother
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 20 ÷ 14 − 6?
36. 36.Each person always tells the truth or always lies. Sneha says: “Saanvi and I are different kinds.” Saanvi says: “Sneha tells the truth.” Is Sneha a truth-teller or a liar? (a) truth-teller (b) liar
37. 37.Each person always tells the truth or always lies. Riya says: “Aditya and I are the same kind.” Aditya says: “Riya and I are different kinds.” Isha says: “Aditya is a liar.” Is Riya a truth-teller or a liar? (a) truth-teller (b) liar
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 14 ÷ 10 × 17?
39. 39.Each person always tells the truth or always lies. Pooja says: “Sneha and I are the same kind.” Sneha says: “Yash and I are the same kind.” Yash says: “Pooja tells the truth.” Is Pooja a truth-teller or a liar? (a) truth-teller (b) liar
40. 40.Rule: If Meera scores above 90, then Meera gets a gold star. Fact: Meera gets a gold star. What can you say about “Meera scores above 90”? (a) must be true (b) must be false (c) can't tell

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