Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 547 · 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.Which number is the odd one out: 78, 61, 83, 71? (a) 78 (b) 61 (c) 83 (d) 71
2. 2.Dev walks 12 m North, then turns right and walks 9 m. How far is he from the starting point now, in a straight line (in m)?
3. 3.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   14 | 12 | 22
   24 | 16 | 8
   10 | 20 | ?
4. 4.Three friends (Nisha, Riya and Zoya) sit in a row. Left and right are as you look at them. Nisha sits at the right end. Zoya sits next to both Riya and Nisha. Who sits just to the left of Zoya? (a) Zoya (b) Riya (c) Nisha
5. 5.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   8 | 18 | ?
   22 | 14 | 6
   12 | 10 | 20
6. 6.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
7. 7.Rule: If Riya scores above 90, then Riya gets a gold star. Fact: Riya does not score above 90. What can you say about “Riya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
8. 8.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: 10 28 41 51 44 31. After step 3, what is the 6th number from the left?
9. 9.Steps climbed in a minute: Meera 67, Rahul 24, Nisha 40, Ananya 51, Tara 80. What is the total for all five children?
10. 10.Each person always tells the truth or always lies. Ira says: “Aditya and I both tell the truth.” Aditya says: “Ira is a liar.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
11. 11.How many degrees does the minute hand of a clock turn in 28 minutes? =
12. 12.If COLD is written as XLOW, how is LION written in the same code? (a) MJPO (b) ORLM (c) NQKL (d) PSMN
13. 13.Each person always tells the truth or always lies. Pooja says: “Kavya and I are the same kind.” Kavya says: “Pooja and I are different kinds.” Is Pooja a truth-teller or a liar? (a) truth-teller (b) liar
14. 14.Ananya, Ishaan and Dev each have a different pet: cat, tortoise or parrot. Ishaan does not have the cat. Ananya does not have the tortoise. Ananya does not have the parrot. Ishaan does not have the parrot. Who has the cat? (a) Ananya (b) Ishaan (c) Dev
15. 15.Rohan, Neel and Yash each play a different game: cricket, carrom or chess. Yash does not play chess. Neel does not play chess. Yash does not play carrom. Which game does Yash play? (a) cricket (b) carrom (c) chess
16. 16.A number machine multiplies a number by 3 and then adds 4. Each output goes back in as the next input. Start with 3. What comes out after step 2?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 5 ÷ 2 − 16?
18. 18.Aditya is older than Ananya. Aisha is older than Ishaan. Ananya is older than Aisha. Who is the second oldest? (a) Ishaan (b) Ananya (c) Aditya (d) Aisha
19. 19.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
20. 20.Which capital letter does NOT look the same in a mirror? (a) X (b) I (c) R (d) O
21. 21.Two standard dice show 1 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
22. 22.If LAMP is written as OZNK, how is FISH written in the same code? (a) VSIT (b) TQGR (c) URHS (d) GJTI
23. 23.Ishaan, Manav and Dev each have a different pet: tortoise, cat or rabbit. Manav does not have the cat. Dev does not have the rabbit. Manav does not have the tortoise. Ishaan does not have the cat. Which pet does Manav have? (a) tortoise (b) cat (c) rabbit
24. 24.How many degrees does the minute hand of a clock turn in 46 minutes? =
25. 25.Dev walks 23 m North, then turns around and walks 6 m. How far is he from the starting point now (in m)?
26. 26.Aarav is a boy. How is Aarav’s father’s only son’s sister related to Aarav? (a) mother (b) cousin (c) sister (d) aunt
27. 27.Sneha is shorter than Diya. Diya is shorter than Riya. Nisha is taller than Riya. Who is the tallest? (a) Sneha (b) Diya (c) Riya (d) Nisha
28. 28.Which number is the odd one out: 29, 27, 73, 67? (a) 29 (b) 27 (c) 73 (d) 67
29. 29.Find the missing number. The same rule works in every row or in every column.
    ? | 6 | 36
    2 | 6 | 12
    9 | 8 | 72
30. 30.Rohan is shorter than Riya. Zoya is shorter than Tara. Zoya is taller than Riya. Who is the tallest? (a) Rohan (b) Tara (c) Riya (d) Zoya
31. 31.I am a 2-digit number. My digits add up to 9 and my tens digit is 3 more than my ones digit. What number am I?
32. 32.If BOAT is written as ERDW, how is RAIN written in the same code? (a) UDLQ (b) VEMR (c) OXFK (d) TCKP
33. 33.1 January 2020 is a Wednesday. What day of the week is 19 August 2020? (a) Wednesday (b) Tuesday (c) Friday (d) Thursday
34. 34.Rahul, Aarav and Omkar each have a bag of a different colour: white, red or green. Omkar’s bag is not red. Rahul’s bag is not green. Aarav’s bag is not green. Aarav’s bag is not red. Whose bag is white? (a) Rahul (b) Aarav (c) Omkar
35. 35.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: 76 63 88 77 80 95. After step 2, what is the 6th number from the left?
36. 36.Each person always tells the truth or always lies. Kabir says: “Zoya and I are different kinds.” Zoya says: “Kabir is a liar.” Is Zoya a truth-teller or a liar? (a) truth-teller (b) liar
37. 37.Priya, Aditya and Rahul each have a bag of a different colour: yellow, red or green. Aditya’s bag is not yellow. Rahul’s bag is not green. Priya’s bag is not yellow. Priya’s bag is not green. What colour is Aditya’s bag? (a) yellow (b) red (c) green
38. 38.Rule: If the shop is open, then Aditya buys milk. Fact: The shop is open. What can you say about “Aditya does not buy milk”? (a) must be true (b) must be false (c) can't tell
39. 39.On a standard dice, opposite faces add up to 7. The dice shows 2 on top. What number is on the bottom face?
40. 40.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: 27 85 16 87 69 22. After step 3, what is the 4th number from the left?

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