Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 419 · 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.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   22 | 7 | 28
   25 | 19 | 13
   10 | 31 | ?
2. 2.Each person always tells the truth or always lies. Riya says: “Kavya and I both tell the truth.” Kavya says: “Ananya is a liar.” Ananya says: “Kavya and I are different kinds.” Is Riya a truth-teller or a liar? (a) truth-teller (b) liar
3. 3.A clock shows 2:01. What time will it show 138 minutes later? (a) 4:29 (b) 5:19 (c) 4:19 (d) 4:09
4. 4.Five friends (Karan, Omkar, Riya, Siddharth and Zoya) sit in a row. Left and right are as you look at them. Zoya sits somewhere to the left of Karan. Zoya sits just to the right of Riya. Karan sits at the right end. Zoya sits next to both Riya and Siddharth. Riya does not sit at either end. Who sits at the left end? (a) Riya (b) Zoya (c) Siddharth (d) Omkar
5. 5.If BOOK is written as DQQM, how is CAKE written in the same code? (a) AYIC (b) ECMG (c) FDNH (d) DBLF
6. 6.Runs scored in a cricket match: Vivaan 18, Arjun 6, Ira 45, Aarav 15, Karan 59. Who has the fewest runs? (a) Vivaan (b) Arjun (c) Ira (d) Aarav
7. 7.If WIND is written as DNIW, how is DESK written in the same code? (a) LTFE (b) JRDC (c) KSED (d) EFTL
8. 8.Which number is the odd one out: 32, 19, 2, 67? (a) 32 (b) 19 (c) 2 (d) 67
9. 9.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   14 | 11 | 26
   29 | ? | 5
   8 | 23 | 20
10. 10.Find the missing number. The same rule works in every row or in every column.
    4 | 6 | 7
    1 | 12 | 4
    12 | ? | 2
11. 11.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav does not finish the homework. What can you say about “Manav goes to the park”? (a) must be true (b) must be false (c) can't tell
12. 12.What is the smaller angle between the hour hand and the minute hand at 7:23? (in degrees) =
13. 13.Marks in a maths test (out of 50): Aarav 50, Isha 26, Aditya 15, Kavya 41, Karan 21. How many more marks does Aarav have than Isha?
14. 14.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    10 | 20 | 6
    8 | 12 | 16
    18 | 4 | ?
15. 15.Dev, Riya and Ira each have a bag of a different colour: yellow, blue or green. Ira’s bag is not blue. Ira’s bag is not green. Riya’s bag is not green. What colour is Riya’s bag? (a) yellow (b) blue (c) green
16. 16.In a group of 31 children, 11 play chess, 25 play carrom and 8 play both. How many play only chess?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 2 − 20 + 4?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 9 × 15 + 2?
19. 19.Sneha walks 33 m West, turns left and walks 7 m, then turns left again and walks 9 m. How far is she from the starting point now, in a straight line (in m)?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 3 ÷ 2 − 14?
21. 21.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: 14 50 18 90 26 32. After step 2, what is the 6th number from the left?
22. 22.Vivaan, Siddharth and Pooja each play a different game: cricket, football or carrom. Vivaan does not play carrom. Vivaan does not play football. Siddharth does not play carrom. Which game does Pooja play? (a) cricket (b) football (c) carrom
23. 23.If DOG is written as BME, how is RAIN written in the same code? (a) OXFK (b) QZHM (c) TCKP (d) PYGL
24. 24.Aditya is a boy. How is Aditya’s daughter’s husband related to Aditya? (a) son (b) nephew (c) brother-in-law (d) son-in-law
25. 25.Runs scored in a cricket match: Omkar 20, Aditya 6, Riya 44, Siddharth 41, Farhan 48. Who has the most runs? (a) Aditya (b) Omkar (c) Riya (d) Farhan
26. 26.Each person always tells the truth or always lies. Kabir says: “Arjun is a liar.” Arjun says: “Kabir and I are different kinds.” Is Arjun a truth-teller or a liar? (a) truth-teller (b) liar
27. 27.Rule: If the shop is open, then Ananya buys milk. Fact: The shop is not open. What can you say about “Ananya does not buy milk”? (a) must be true (b) must be false (c) can't tell
28. 28.Nisha, Aisha and Omkar each have a different pet: tortoise, cat or rabbit. Omkar does not have the cat. Omkar does not have the tortoise. Aisha does not have the cat. Which pet does Aisha have? (a) tortoise (b) cat (c) rabbit
29. 29.Rule: If Pooja finishes the homework, then Pooja goes to the park. Fact: Pooja does not go to the park. What can you say about “Pooja finishes the homework”? (a) must be true (b) must be false (c) can't tell
30. 30.Which number is the odd one out: 18, 66, 54, 93? (a) 18 (b) 66 (c) 54 (d) 93
31. 31.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 8. What comes out after step 2?
32. 32.Statements: All coins are pens. Some rings are coins. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
33. 33.Find the missing number. The same rule works in every row or in every column.
    ? | 10 | 25
    13 | 20 | 33
    10 | 17 | 27
34. 34.Rule: If Saanvi finishes the homework, then Saanvi goes to the park. Fact: Saanvi finishes the homework. What can you say about “Saanvi does not go to the park”? (a) must be true (b) must be false (c) can't tell
35. 35.Karan is lighter than Kavya. Dev is lighter than Karan. Who is the heaviest? (a) Kavya (b) Dev (c) Karan
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 16 ÷ 14 × 11?
37. 37.Find the missing number. The same rule works in every row or in every column.
    17 | 8 | 25
    8 | 19 | 27
    5 | 6 | ?
38. 38.Steps climbed in a minute: Farhan 44, Isha 82, Tara 48, Kavya 63, Vivaan 22. How many children have more than 44 steps?
39. 39.Three friends (Neel, Rahul and Sneha) sit in a row. Left and right are as you look at them. Sneha sits just to the right of Rahul. Rahul sits at the left end. Who sits just to the right of Sneha? (a) Neel (b) Sneha (c) Rahul
40. 40.Myra is a girl. How is Myra’s son’s wife related to Myra? (a) niece (b) daughter (c) sister-in-law (d) daughter-in-law

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