Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 737 · 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 8:15? (in degrees) =
2. 2.Which capital letter does NOT look the same in a mirror? (a) X (b) K (c) U (d) Y
3. 3.Myra, Kabir and Riya each have a bag of a different colour: white, yellow or red. Riya’s bag is not white. Myra’s bag is not red. Kabir’s bag is not red. Kabir’s bag is not white. What colour is Riya’s bag? (a) white (b) yellow (c) red
4. 4.Four friends (Aditya, Ananya, Sneha and Zoya) sit in a row. Left and right are as you look at them. Zoya sits next to both Sneha and Ananya. Sneha sits somewhere to the left of Ananya. Sneha does not sit at either end. Who sits at the right end? (a) Sneha (b) Zoya (c) Aditya (d) Ananya
5. 5.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
6. 6.Ishaan is a boy. How is Ishaan’s son’s wife related to Ishaan? (a) sister-in-law (b) daughter (c) niece (d) daughter-in-law
7. 7.Statements: Some bags are shoes. All books are shoes. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
8. 8.Rule: If the shop is open, then Dev buys milk. Fact: Dev does not buy milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
9. 9.Kabir is taller than Manav. Arjun is shorter than Aisha. Manav is taller than Aisha. Who is the second tallest? (a) Manav (b) Aisha (c) Arjun (d) Kabir
10. 10.Statements: All toys are pens. Some pens are books. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
11. 11.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    13 | 3 | 17
    15 | ? | 7
    5 | 19 | 9
12. 12.Aditya is facing North. He turns left, then turns right, then turns left, then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
13. 13.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
14. 14.Statements: No keys are caps. All books are caps. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
15. 15.In a group of 35 children, 10 enjoy drawing, 15 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
16. 16.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) H (b) R (c) M (d) N
17. 17.Which number is the odd one out: 24, 96, 6, 26? (a) 24 (b) 96 (c) 6 (d) 26
18. 18.Four friends (Aditya, Manav, Riya and Zoya) sit in a row. Left and right are as you look at them. Riya sits just to the right of Zoya. Aditya sits just to the right of Riya. Manav sits just to the right of Aditya. Who sits at the left end? (a) Manav (b) Zoya (c) Riya (d) Aditya
19. 19.Ishaan is younger than Arjun. Arjun is younger than Diya. Who is the youngest? (a) Arjun (b) Ishaan (c) Diya
20. 20.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) L (b) D (c) Y (d) F
21. 21.Each person always tells the truth or always lies. Rohan says: “Vivaan and I are different kinds.” Vivaan says: “Rohan tells the truth.” Siddharth says: “Vivaan is a liar.” Is Rohan a truth-teller or a liar? (a) truth-teller (b) liar
22. 22.Which number is the odd one out: 50, 11, 73, 97? (a) 50 (b) 11 (c) 73 (d) 97
23. 23.I am a 2-digit number. My digits add up to 13 and my tens digit is 5 more than my ones digit. What number am I?
24. 24.Ananya walks 4 km South, then turns right and walks 3 km. How far is she from the starting point now, in a straight line (in km)?
25. 25.Rahul, Aditya and Kabir each have a different pet: cat, tortoise or rabbit. Kabir does not have the tortoise. Rahul does not have the tortoise. Kabir does not have the cat. Which pet does Aditya have? (a) cat (b) tortoise (c) rabbit
26. 26.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
27. 27.Find the missing number. The same rule works in every row or in every column.
    9 | 12 | 11
    20 | 13 | ?
    29 | 25 | 17
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 2 ÷ 15 + 3?
29. 29.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
30. 30.Five friends (Ananya, Ishaan, Meera, Myra and Riya) sit in a row. Left and right are as you look at them. Myra sits next to both Riya and Meera. Ishaan sits somewhere to the left of Ananya. Riya sits somewhere to the left of Ananya. Ishaan sits somewhere to the left of Meera. Riya sits next to both Ishaan and Myra. Who sits at the right end? (a) Ishaan (b) Myra (c) Riya (d) Ananya
31. 31.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have exactly two painted faces?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 11 ÷ 20 + 20?
33. 33.Each person always tells the truth or always lies. Kabir says: “Myra and I are different kinds.” Myra says: “Kabir tells the truth.” Is Kabir a truth-teller or a liar? (a) truth-teller (b) liar
34. 34.Each person always tells the truth or always lies. Kavya says: “Yash is a liar.” Yash says: “At least one of us two, Farhan or I, is a liar.” Farhan says: “Kavya and I both tell the truth.” Is Farhan a truth-teller or a liar? (a) truth-teller (b) liar
35. 35.A clock shows 1:39. What time does it show in a mirror? (a) 11:39 (b) 11:21 (c) 9:21 (d) 10:21
36. 36.1 January 2003 is a Wednesday. What day of the week is 6 June 2003? (a) Sunday (b) Thursday (c) Saturday (d) Friday
37. 37.Diya, Pooja and Ira each have a bag of a different colour: yellow, red or white. Pooja’s bag is not yellow. Ira’s bag is not white. Ira’s bag is not red. Diya’s bag is not white. Whose bag is yellow? (a) Diya (b) Pooja (c) Ira
38. 38.Two standard dice show 5 and 2 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
39. 39.Find the missing number. The same rule works in every row or in every column.
    3 | 1 | 4
    ? | 16 | 32
    3 | 5 | 8
40. 40.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: 86 33 72 46 24 11. After step 3, what is the 4th number from the left?

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