Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 778 · 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 a group of 33 children, 16 play cricket, 22 play football and 12 play both. How many play only cricket?
2. 2.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 exactly one painted face?
3. 3.Four friends (Dev, Karan, Meera and Rahul) sit in a row. Left and right are as you look at them. Dev does not sit at either end. Dev sits next to both Meera and Karan. Rahul sits at the right end. Karan does not sit at either end. Who sits just to the left of Rahul? (a) Meera (b) Karan (c) Dev (d) Rahul
4. 4.Kites flown at Makar Sankranti: Omkar 2, Zoya 19, Siddharth 7, Farhan 9, Karan 25. How many more kites does Zoya have than Farhan?
5. 5.Runs scored in a cricket match: Siddharth 57, Ananya 60, Aarav 10, Manav 13, Kabir 26. How many children have more than 53 runs?
6. 6.Each person always tells the truth or always lies. Kavya says: “Ira and I are the same kind.” Ira says: “Kavya is a liar.” Is Kavya a truth-teller or a liar? (a) truth-teller (b) liar
7. 7.Statements: Some balls are cups. Some boxes are balls. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
8. 8.Yash walks 23 m South, turns right and walks 12 m, then turns right again and walks 7 m. How far is he from the starting point now, in a straight line (in m)?
9. 9.Statements: All books are cups. All bells are books. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
10. 10.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: 87 21 70 90 79 16. After step 4, what is the 6th number from the left?
11. 11.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 one painted face?
12. 12.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    ? | 16 | 15
    18 | 14 | 10
    13 | 12 | 17
13. 13.Three friends (Isha, Vivaan and Yash) sit in a row. Left and right are as you look at them. Yash sits at the right end. Vivaan sits at the left end. Who sits in the middle? (a) Vivaan (b) Yash (c) Isha
14. 14.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 8. What comes out after step 3?
15. 15.Neel is a boy. How is Neel’s sister’s son related to Neel? (a) cousin (b) son (c) brother (d) nephew
16. 16.Which number is the odd one out: 43, 24, 96, 66? (a) 43 (b) 24 (c) 96 (d) 66
17. 17.Which number is the odd one out: 50, 80, 90, 72? (a) 50 (b) 80 (c) 90 (d) 72
18. 18.If CAT is written as TAC, how is NEST written in the same code? (a) SRDM (b) UTFO (c) OFTU (d) TSEN
19. 19.Rule: If Kavya finishes the homework, then Kavya goes to the park. Fact: Kavya finishes the homework. What can you say about “Kavya goes to the park”? (a) must be true (b) must be false (c) can't tell
20. 20.Find the missing number. The same rule works in every row or in every column.
    1 | 12 | 16
    19 | 7 | 3
    21 | 2 | ?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 7 × 3 ÷ 14?
22. 22.Yash is a boy. How is Yash’s son’s son related to Yash? (a) son (b) grandson (c) nephew (d) brother
23. 23.Which number is the odd one out: 10, 50, 36, 30? (a) 10 (b) 50 (c) 36 (d) 30
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 20 ÷ 8 − 2?
25. 25.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is red. What can you say about “The cars do not stop”? (a) must be true (b) must be false (c) can't tell
26. 26.Meera is older than Diya. Diya is older than Ishaan. Who is the youngest? (a) Meera (b) Diya (c) Ishaan
27. 27.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    15 | 17 | 7
    ? | 13 | 21
    19 | 9 | 11
28. 28.If LAMP is written as OLZK, how is TOYS written in the same code? (a) SYOT (b) SNXR (c) TZPU (d) RXNS
29. 29.How many degrees does the hour hand of a clock turn in 130 minutes? =
30. 30.Statements: All balls are bells. Some balls are coins. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
31. 31.Ishaan runs faster than Yash. Kavya runs slower than Yash. Who runs the second fastest? (a) Yash (b) Ishaan (c) Kavya
32. 32.Which number is the odd one out: 73, 61, 71, 40? (a) 73 (b) 61 (c) 71 (d) 40
33. 33.Each person always tells the truth or always lies. Riya says: “Ira and I are different kinds.” Manav says: “Riya is a liar.” Ira says: “Manav and I are the same kind.” Is Manav a truth-teller or a liar? (a) truth-teller (b) liar
34. 34.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
35. 35.Which number is the odd one out: 74, 17, 89, 31? (a) 74 (b) 17 (c) 89 (d) 31
36. 36.Isha is shorter than Yash. Isha is taller than Riya. Riya is taller than Rahul. Who is the tallest? (a) Riya (b) Yash (c) Rahul (d) Isha
37. 37.What is the smaller angle between the hour hand and the minute hand at 7:48? (in degrees) =
38. 38.In a group of 49 grown-ups, 25 drink tea, 22 drink coffee and 10 drink both. How many drink at least one of the two?
39. 39.Dev is a boy. How is Dev’s sister’s son related to Dev? (a) cousin (b) son (c) nephew (d) brother
40. 40.What is the smaller angle between the hour hand and the minute hand at 10:44? (in degrees) =

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