Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 319 · 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.Statements: Some rings are pens. All rings are shoes. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
2. 2.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?
3. 3.Statements: All caps are pens. All bags are caps. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
4. 4.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
5. 5.Which capital letter looks exactly the same in a mirror? (a) G (b) D (c) I (d) E
6. 6.Three friends (Ishaan, Omkar and Vivaan) sit in a row. Left and right are as you look at them. Vivaan sits at the right end. Ishaan sits just to the right of Omkar. Who sits in the middle? (a) Omkar (b) Vivaan (c) Ishaan
7. 7.A clock shows 7:37. What time will it show 57 minutes later? (a) 8:34 (b) 8:44 (c) 8:24 (d) 9:34
8. 8.Which capital letter does NOT look the same in a mirror? (a) U (b) S (c) A (d) M
9. 9.If BALL is written as NNCD, how is CAKE written in the same code? (a) GMCE (b) ECMG (c) EKAC (d) CIYA
10. 10.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
11. 11.Neel is lighter than Vivaan. Zoya is lighter than Kavya. Zoya is heavier than Vivaan. Who is the second lightest? (a) Zoya (b) Kavya (c) Vivaan (d) Neel
12. 12.Saanvi is a girl. How is Saanvi’s father’s sister related to Saanvi? (a) sister (b) aunt (c) cousin (d) mother
13. 13.Each person always tells the truth or always lies. Tara says: “At least one of us two, Aditya or I, is a liar.” Aditya says: “Tara and I are the same kind.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
14. 14.Which number is the odd one out: 61, 62, 2, 29? (a) 61 (b) 62 (c) 2 (d) 29
15. 15.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: 96 18 52 57 38 20. After step 3, what is the 2nd number from the left?
16. 16.Neel, Yash and Rahul each have a different pet: cat, tortoise or dog. Neel does not have the cat. Rahul does not have the tortoise. Yash does not have the cat. Yash does not have the dog. Which pet does Yash have? (a) cat (b) tortoise (c) dog
17. 17.Rule: If the shop is open, then Priya buys milk. Fact: The shop is open. What can you say about “Priya buys milk”? (a) must be true (b) must be false (c) can't tell
18. 18.Four friends (Aarav, Kabir, Riya and Siddharth) sit in a row. Left and right are as you look at them. Aarav sits next to both Kabir and Riya. Kabir sits at the left end. Who sits just to the right of Riya? (a) Kabir (b) Riya (c) Siddharth (d) Aarav
19. 19.Find the missing number. The same rule works in every row or in every column.
    9 | 3 | 27
    5 | ? | 35
    4 | 2 | 8
20. 20.Arjun is a boy. How is Arjun’s father’s sister’s husband related to Arjun? (a) grandfather (b) uncle (c) father (d) brother-in-law
21. 21.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    11 | 6 | 13
    12 | ? | 8
    7 | 14 | 9
22. 22.Riya is a girl. How is Riya’s mother’s brother related to Riya? (a) cousin (b) grandfather (c) brother (d) uncle
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 16 + 20 × 5?
24. 24.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: 44 77 36 51 47 90. After step 4, what is the 4th number from the left?
25. 25.Each person always tells the truth or always lies. Saanvi says: “Yash tells the truth.” Yash says: “Saanvi and I are different kinds.” Is Saanvi a truth-teller or a liar? (a) truth-teller (b) liar
26. 26.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
27. 27.Four friends (Aisha, Meera, Priya and Siddharth) sit in a row. Left and right are as you look at them. Priya sits just to the right of Siddharth. Aisha sits somewhere to the left of Priya. Meera sits next to both Aisha and Siddharth. Who sits at the left end? (a) Aisha (b) Priya (c) Siddharth (d) Meera
28. 28.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
29. 29.I am a 2-digit number. My digits add up to 17. If you swap my two digits, the new number is 9 more than me. What number am I?
30. 30.If LAMP is written as JYKN, how is BOOK written in the same code? (a) ANNJ (b) DQQM (c) ZMMI (d) YLLH
31. 31.5 October is a Tuesday. What day of the week is 5 November of the same year? (a) Friday (b) Thursday (c) Saturday (d) Sunday
32. 32.A clock shows 9:15. What time will it show 102 minutes later? (a) 11:07 (b) 10:57 (c) 11:57 (d) 10:47
33. 33.Ananya, Rohan and Aisha each have a bag of a different colour: green, yellow or blue. Ananya’s bag is not blue. Aisha’s bag is not green. Ananya’s bag is not yellow. Rohan’s bag is not blue. Whose bag is green? (a) Ananya (b) Rohan (c) Aisha
34. 34.Kabir, Aarav and Omkar each have a bag of a different colour: green, red or white. Omkar’s bag is not green. Aarav’s bag is not green. Omkar’s bag is not white. What colour is Kabir’s bag? (a) green (b) red (c) white
35. 35.If PEN is written as KVM, how is BOAT written in the same code? (a) XKYF (b) YLZG (c) CPBU (d) ZMAH
36. 36.Find the missing number. The same rule works in every row or in every column.
    11 | ? | 8
    5 | 4 | 9
    16 | 17 | 17
37. 37.A wooden cube is painted on all six faces, then each edge is cut into 5 equal parts, making small cubes. How many small cubes have no painted face?
38. 38.Vivaan is shorter than Rohan. Vivaan is taller than Omkar. Who is the shortest? (a) Omkar (b) Rohan (c) Vivaan
39. 39.Statements: No keys are pens. All pens are coins. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
40. 40.Find the missing number. The same rule works in every row or in every column.
    8 | 5 | 3
    1 | 12 | 3
    ? | 9 | 4

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