Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 764 · 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.A number machine multiplies a number by 3 and then takes away 4. Each output goes back in as the next input. Start with 4. What comes out after step 2?
2. 2.If KITE is written as PRGV, how is WIND written in the same code? (a) ESNX (b) CQLV (c) XJOE (d) DRMW
3. 3.Arjun is facing East. He turns left, then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
4. 4.15 August is a Saturday. What day of the week is 15 September of the same year? (a) Tuesday (b) Thursday (c) Wednesday (d) Monday
5. 5.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have at least one painted face?
6. 6.Zoya, Arjun and Tara each have a different pet: cat, parrot or tortoise. Arjun does not have the tortoise. Tara does not have the cat. Zoya does not have the tortoise. Arjun does not have the parrot. Who has the cat? (a) Zoya (b) Arjun (c) Tara
7. 7.Find the missing number. The same rule works in every row or in every column.
   ? | 4 | 3
   13 | 8 | 1
   15 | 1 | 6
8. 8.Runs scored in a cricket match: Ananya 13, Isha 48, Dev 10, Aarav 7, Aisha 32. Who has the fewest runs? (a) Aarav (b) Dev (c) Ananya (d) Isha
9. 9.Today is Saturday. What day of the week will it be 18 days from today? (a) Tuesday (b) Friday (c) Wednesday (d) Thursday
10. 10.Find the missing number. The same rule works in every row or in every column.
    9 | ? | 27
    6 | 8 | 48
    9 | 5 | 45
11. 11.If TREE is written as GIVV, how is BOOK written in the same code? (a) YLLP (b) CPPL (c) ZMMQ (d) XKKO
12. 12.Pooja is shorter than Rohan. Saanvi is taller than Omkar. Pooja is taller than Saanvi. Who is the tallest? (a) Pooja (b) Rohan (c) Omkar (d) Saanvi
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 20 ÷ 2 + 12?
14. 14.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have no painted face?
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: 47 14 91 62 79 90. After step 3, what is the 1st number from the left?
16. 16.If PEN is written as NEP, how is DESK written in the same code? (a) EFTL (b) JRDC (c) LTFE (d) KSED
17. 17.Aditya, Kavya and Siddharth each have a different pet: parrot, tortoise or cat. Kavya does not have the tortoise. Kavya does not have the cat. Siddharth does not have the cat. Who has the tortoise? (a) Aditya (b) Kavya (c) Siddharth
18. 18.Pooja walks 17 m West, turns right and walks 5 m, then turns right again and walks 5 m. How far is she from the starting point now, in a straight line (in m)?
19. 19.Which number is the odd one out: 38, 43, 97, 59? (a) 38 (b) 43 (c) 97 (d) 59
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 3 + 19 × 13?
21. 21.On a standard dice, opposite faces add up to 7. The dice shows 5 on top. What number is on the bottom face?
22. 22.A clock shows 1:26. What time does it show in a mirror? (a) 10:34 (b) 11:26 (c) 11:34 (d) 9:34
23. 23.Each person always tells the truth or always lies. Arjun says: “At least one of us two, Diya or I, is a liar.” Diya says: “Arjun and I are the same kind.” Is Diya a truth-teller or a liar? (a) truth-teller (b) liar
24. 24.Statements: Some bags are books. All bags are bells. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
25. 25.Is 1900 a leap year? (a) Yes (b) No
26. 26.Yash, Vivaan and Myra each have a bag of a different colour: red, green or white. Yash’s bag is not white. Vivaan’s bag is not green. Myra’s bag is not green. Vivaan’s bag is not white. Whose bag is red? (a) Yash (b) Vivaan (c) Myra
27. 27.Find the missing number. The same rule works in every row or in every column.
    25 | 4 | 1
    28 | 1 | 1
    11 | ? | 6
28. 28.I am a 2-digit number. My digits add up to 9. If you swap my two digits, the new number is 45 more than me. What number am I?
29. 29.Statements: No bells are bags. All balls are bells. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
30. 30.Five friends (Arjun, Kabir, Kavya, Priya and Riya) sit in a row. Left and right are as you look at them. Priya sits somewhere to the left of Kavya. Kabir sits next to both Priya and Kavya. Arjun sits somewhere to the left of Kabir. Riya sits somewhere to the left of Priya. Riya sits at the left end. Who sits just to the left of Kabir? (a) Arjun (b) Priya (c) Kavya (d) Riya
31. 31.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
32. 32.Each person always tells the truth or always lies. Ananya says: “Farhan and I are the same kind.” Farhan says: “Ananya and I both tell the truth.” Is Farhan a truth-teller or a liar? (a) truth-teller (b) liar
33. 33.If FROG is written as HPSG, how is LAMP written in the same code? (a) QNBM (b) MBNQ (c) OLZK (d) PMAL
34. 34.In a group of 32 children, 22 like mangoes, 12 like bananas and 6 like both. How many like only bananas?
35. 35.Which capital letter does NOT look the same in a mirror? (a) U (b) A (c) C (d) O
36. 36.Statements: All coins are cups. No bags are cups. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
37. 37.The sum of three consecutive numbers is 66. What is the smallest of them?
38. 38.Karan, Omkar and Farhan each have a different pet: rabbit, cat or parrot. Farhan does not have the parrot. Karan does not have the rabbit. Farhan does not have the cat. Omkar does not have the cat. Who has the rabbit? (a) Karan (b) Omkar (c) Farhan
39. 39.What is the smaller angle between the hour hand and the minute hand at 12:14? (in degrees) =
40. 40.Siddharth is a boy. How is Siddharth’s mother’s mother related to Siddharth? (a) grandmother (b) mother (c) sister (d) aunt

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