Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 54 · 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.
   14 | ? | 20
   29 | 23 | 17
   26 | 11 | 32
2. 2.On a standard dice, opposite faces add up to 7. The dice shows 6 on top. What number is on the bottom face?
3. 3.If FISH is written as HKUJ, how is PARK written in the same code? (a) RCTM (b) QBSL (c) NYPI (d) SDUN
4. 4.Which number is the odd one out: 19, 83, 66, 67? (a) 19 (b) 83 (c) 66 (d) 67
5. 5.Each person always tells the truth or always lies. Rohan says: “At least one of us two, Ananya or I, is a liar.” Farhan says: “Ananya is a liar.” Ananya says: “Farhan is a liar.” Is Rohan a truth-teller or a liar? (a) truth-teller (b) liar
6. 6.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
7. 7.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: 45 80 41 65 98 22. After step 2, what is the 2nd number from the left?
8. 8.Each person always tells the truth or always lies. Vivaan says: “At least one of us two, Diya or I, is a liar.” Diya says: “Vivaan is a liar.” Aarav says: “At least one of us two, Diya or I, is a liar.” Is Vivaan a truth-teller or a liar? (a) truth-teller (b) liar
9. 9.Each person always tells the truth or always lies. Karan says: “Tara and I both tell the truth.” Tara says: “Karan is a liar.” Is Tara a truth-teller or a liar? (a) truth-teller (b) liar
10. 10.Four friends (Farhan, Isha, Nisha and Rohan) sit in a row. Left and right are as you look at them. Rohan does not sit at either end. Rohan sits somewhere to the left of Farhan. Nisha sits somewhere to the left of Isha. Isha sits just to the right of Rohan. Who sits at the right end? (a) Farhan (b) Rohan (c) Nisha (d) Isha
11. 11.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan does not finish the homework. What can you say about “Vivaan does not go to the park”? (a) must be true (b) must be false (c) can't tell
12. 12.Which number is the odd one out: 56, 8, 67, 98? (a) 56 (b) 8 (c) 67 (d) 98
13. 13.Each person always tells the truth or always lies. Diya says: “Karan is a liar.” Arjun says: “Karan tells the truth.” Karan says: “Arjun and I are the same kind.” Is Arjun a truth-teller or a liar? (a) truth-teller (b) liar
14. 14.Which capital letter looks exactly the same in a mirror? (a) I (b) G (c) F (d) E
15. 15.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
16. 16.What is the smaller angle between the hour hand and the minute hand at 11:57? (in degrees) =
17. 17.If BALL is written as LLAB, how is SHIP written in the same code? (a) TIJQ (b) OHGR (c) PIHS (d) QJIT
18. 18.A clock shows 8:44. What time does it show in a mirror? (a) 4:44 (b) 4:16 (c) 2:16 (d) 3:16
19. 19.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 at least one painted face?
20. 20.Five friends (Ananya, Ishaan, Pooja, Siddharth and Zoya) sit in a row. Left and right are as you look at them. Zoya sits next to both Siddharth and Ishaan. Siddharth sits somewhere to the left of Ishaan. Siddharth sits somewhere to the left of Ananya. Pooja sits somewhere to the left of Zoya. Who sits at the left end? (a) Ananya (b) Siddharth (c) Ishaan (d) Pooja
21. 21.Each person always tells the truth or always lies. Vivaan says: “Ira and I are the same kind.” Ira says: “At least one of us two, Vivaan or I, is a liar.” Aarav says: “Vivaan tells the truth.” Is Aarav a truth-teller or a liar? (a) truth-teller (b) liar
22. 22.Aditya, Saanvi and Ishaan each have a different pet: dog, rabbit or cat. Aditya does not have the rabbit. Saanvi does not have the dog. Ishaan does not have the dog. Ishaan does not have the rabbit. Which pet does Saanvi have? (a) dog (b) rabbit (c) cat
23. 23.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?
24. 24.Neel is older than Nisha. Pooja is older than Neel. Who is the second oldest? (a) Neel (b) Pooja (c) Nisha
25. 25.Each person always tells the truth or always lies. Arjun says: “Nisha is a liar.” Nisha says: “Arjun and I both tell the truth.” Is Arjun a truth-teller or a liar? (a) truth-teller (b) liar
26. 26.Which number is the odd one out: 13, 43, 24, 73? (a) 13 (b) 43 (c) 24 (d) 73
27. 27.Which number is the odd one out: 67, 20, 37, 73? (a) 67 (b) 20 (c) 37 (d) 73
28. 28.Steps climbed in a minute: Karan 57, Nisha 66, Manav 68, Siddharth 39, Omkar 65. What is the difference between the highest and the lowest?
29. 29.Nisha is a girl. How is Nisha’s father’s father’s only son related to Nisha? (a) grandfather (b) brother (c) uncle (d) father
30. 30.Find the missing number. The same rule works in every row or in every column.
    4 | ? | 36
    3 | 8 | 24
    3 | 7 | 21
31. 31.Steps climbed in a minute: Aisha 50, Neel 85, Ananya 36, Yash 54, Zoya 70. What is the total for all five children?
32. 32.Karan, Riya and Zoya each play a different game: chess, cricket or carrom. Zoya does not play chess. Zoya does not play carrom. Karan does not play chess. Who plays carrom? (a) Karan (b) Riya (c) Zoya
33. 33.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
34. 34.Four friends (Kabir, Rahul, Rohan and Yash) sit in a row. Left and right are as you look at them. Rohan sits next to both Yash and Kabir. Rahul sits somewhere to the left of Kabir. Yash sits next to both Rahul and Rohan. Who sits at the right end? (a) Yash (b) Kabir (c) Rahul (d) Rohan
35. 35.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    6 | 20 | 10
    16 | ? | 8
    14 | 4 | 18
36. 36.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
37. 37.Find the missing number. The same rule works in every row or in every column.
    14 | 4 | 18
    11 | ? | 29
    2 | 12 | 14
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 5 − 13 × 14?
39. 39.Rule: If Nisha scores above 90, then Nisha gets a gold star. Fact: Nisha does not score above 90. What can you say about “Nisha gets a gold star”? (a) must be true (b) must be false (c) can't tell
40. 40.Aditya, Siddharth and Neel each play a different game: chess, football or cricket. Siddharth does not play football. Neel does not play cricket. Aditya does not play football. Aditya does not play cricket. Who plays chess? (a) Aditya (b) Siddharth (c) Neel

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