Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 371 · 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.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
2. 2.Nisha walks 2 m South, then turns left and walks 13 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
3. 3.Which capital letter does NOT look the same in a mirror? (a) I (b) A (c) X (d) G
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 13 − 13 × 9 ÷ 16?
5. 5.Nisha walks 29 m West, then turns around and walks 10 m. How far is she from the starting point now (in m)?
6. 6.Each person always tells the truth or always lies. Kavya says: “Meera and I both tell the truth.” Meera says: “Kavya is a liar.” Is Kavya a truth-teller or a liar? (a) truth-teller (b) liar
7. 7.Myra walks 16 m North, then turns right and walks 12 m. How far is she from the starting point now, in a straight line (in m)?
8. 8.Each person always tells the truth or always lies. Omkar says: “Zoya and I are the same kind.” Zoya says: “Omkar and I both tell the truth.” Is Omkar a truth-teller or a liar? (a) truth-teller (b) liar
9. 9.In a group of 31 children, 20 play cricket, 16 play football and 9 play both. How many play at least one of the two?
10. 10.A wooden cube is painted on all six faces, then each edge is cut into 3 equal parts, making small cubes. How many small cubes have exactly three painted faces?
11. 11.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: 81 37 96 67 43 64. After step 2, what is the 2nd number from the left?
12. 12.Find the missing number. The same rule works in every row or in every column.
    8 | 2 | 16
    6 | 7 | ?
    5 | 2 | 10
13. 13.Two standard dice show 4 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
14. 14.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
15. 15.Which number is the odd one out: 23, 83, 26, 2? (a) 23 (b) 83 (c) 26 (d) 2
16. 16.Which number is the odd one out: 61, 59, 99, 97? (a) 61 (b) 59 (c) 99 (d) 97
17. 17.Which capital letter does NOT look the same in a mirror? (a) X (b) V (c) Z (d) A
18. 18.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 64 58 79 74 91. After step 3, what is the 4th number from the left?
19. 19.Each person always tells the truth or always lies. Siddharth says: “Yash and I are different kinds.” Yash says: “Siddharth and I are different kinds.” Is Yash a truth-teller or a liar? (a) truth-teller (b) liar
20. 20.If TOYS is written as GLBH, how is BOAT written in the same code? (a) CPBU (b) XKYF (c) YLZG (d) ZMAH
21. 21.In a group of 26 children, 18 play cricket, 11 play football and 5 play both. How many play exactly one of the two?
22. 22.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    17 | 15 | ?
    27 | 19 | 11
    13 | 23 | 21
23. 23.A clock shows 6:27. What time does it show in a mirror? (a) 4:33 (b) 6:27 (c) 5:33 (d) 6:33
24. 24.Books read in the summer holidays: Riya 27, Karan 6, Farhan 21, Ananya 4, Diya 16. What is the difference between the highest and the lowest?
25. 25.Trees planted in a week: Riya 21, Kavya 34, Omkar 36, Saanvi 12, Arjun 7. How many children have more than 34 trees?
26. 26.If NEST is written as VUGP, how is SHIP written in the same code? (a) UJKR (b) RKJU (c) NGFQ (d) PIHS
27. 27.Three friends (Ishaan, Nisha and Priya) sit in a row. Left and right are as you look at them. Priya sits next to both Nisha and Ishaan. Nisha sits at the left end. Who sits just to the right of Priya? (a) Nisha (b) Priya (c) Ishaan
28. 28.Find the missing number. The same rule works in every row or in every column.
    7 | ? | 14
    3 | 8 | 24
    9 | 5 | 45
29. 29.Saanvi is a girl. How is Saanvi’s brother’s daughter related to Saanvi? (a) cousin (b) daughter (c) niece (d) sister
30. 30.Four friends (Diya, Omkar, Saanvi and Sneha) sit in a row. Left and right are as you look at them. Omkar sits somewhere to the left of Diya. Diya sits at the right end. Omkar sits next to both Saanvi and Sneha. Sneha sits just to the right of Omkar. Who sits just to the left of Omkar? (a) Diya (b) Sneha (c) Saanvi (d) Omkar
31. 31.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: 30 96 33 17 72 66. After step 4, what is the 1st number from the left?
32. 32.In a group of 48 children, 19 play cricket, 16 play football and 2 play both. How many play only cricket?
33. 33.If CAKE is written as FLBD, how is STAR written in the same code? (a) RATS (b) TUBS (c) QZSR (d) SBUT
34. 34.In a group of 48 children, 27 sing Hindi songs, 24 sing English songs and 7 sing both. How many sing only English songs?
35. 35.Three friends (Ishaan, Meera and Rahul) sit in a row. Left and right are as you look at them. Rahul sits somewhere to the left of Meera. Meera sits just to the right of Ishaan. Who sits at the left end? (a) Rahul (b) Meera (c) Ishaan
36. 36.Runs scored in a cricket match: Tara 9, Rahul 7, Ira 53, Kabir 54, Zoya 38. How many more runs does Tara have than Rahul?
37. 37.Rule: If Farhan wins the match, then Farhan gets a medal. Fact: Farhan does not win the match. What can you say about “Farhan gets a medal”? (a) must be true (b) must be false (c) can't tell
38. 38.How many degrees does the minute hand of a clock turn in 8 minutes? =
39. 39.Each person always tells the truth or always lies. Dev says: “Aisha and I both tell the truth.” Aisha says: “Dev and I are the same kind.” Is Aisha a truth-teller or a liar? (a) truth-teller (b) liar
40. 40.Each person always tells the truth or always lies. Kavya says: “Farhan is a liar.” Farhan says: “Kavya and I both tell the truth.” Is Kavya a truth-teller or a liar? (a) truth-teller (b) liar

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