Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 48 · 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 21 children, 15 enjoy drawing, 7 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
2. 2.Vivaan is a boy. How is Vivaan’s daughter’s husband related to Vivaan? (a) brother-in-law (b) nephew (c) son (d) son-in-law
3. 3.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: 58 23 27 47 25 16. After step 4, what is the 4th number from the left?
4. 4.Rohan walks 9 m East, turns left and walks 8 m, then turns left again and walks 3 m. How far is he from the starting point now, in a straight line (in m)?
5. 5.Statements: All shoes are pens. Some shoes are cups. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
6. 6.Statements: Some coins are shoes. No shoes are books. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
7. 7.Rohan is a boy. How is Rohan’s daughter’s husband related to Rohan? (a) son-in-law (b) son (c) nephew (d) brother-in-law
8. 8.Three friends (Dev, Ira and Rohan) sit in a row. Left and right are as you look at them. Dev sits somewhere to the left of Ira. Rohan sits just to the right of Dev. Who sits at the right end? (a) Ira (b) Dev (c) Rohan
9. 9.What is the smaller angle between the hour hand and the minute hand at 8:52? (in degrees) =
10. 10.I am a 2-digit number. My digits add up to 6 and my tens digit is 4 more than my ones digit. What number am I?
11. 11.Diya is a girl. How is Diya’s father’s sister’s husband related to Diya? (a) father (b) brother-in-law (c) grandfather (d) uncle
12. 12.Each person always tells the truth or always lies. Manav says: “Meera and I are the same kind.” Meera says: “Manav is a liar.” Is Manav a truth-teller or a liar? (a) truth-teller (b) liar
13. 13.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
14. 14.Today is Monday. What day of the week will it be 87 days from today? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
15. 15.On a standard dice, opposite faces add up to 7. The dice shows 2 on top. What number is on the bottom face?
16. 16.Ishaan is older than Aisha. Ishaan is younger than Sneha. Who is the youngest? (a) Aisha (b) Ishaan (c) Sneha
17. 17.In a group of 53 children, 26 like mangoes, 29 like bananas and 12 like both. How many like only mangoes?
18. 18.If FROG is written as UILT, how is MILK written in the same code? (a) MQNO (b) NROP (c) NJML (d) OSPQ
19. 19.Each person always tells the truth or always lies. Isha says: “Arjun is a liar.” Arjun says: “At least one of us two, Isha or I, is a liar.” Is Arjun a truth-teller or a liar? (a) truth-teller (b) liar
20. 20.Find the missing number. The same rule works in every row or in every column.
    6 | 6 | 12
    ? | 20 | 33
    3 | 11 | 14
21. 21.I am a 2-digit number. My digits add up to 8 and my tens digit is 4 more than my ones digit. What number am I?
22. 22.Diya is taller than Vivaan. Vivaan is taller than Kavya. Who is the tallest? (a) Kavya (b) Diya (c) Vivaan
23. 23.Priya walks 8 m South, then turns left and walks 8 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
24. 24.A wooden cube is painted on all six faces, then each edge is cut into 4 equal parts, making small cubes. How many small cubes have at least one painted face?
25. 25.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    6 | 16 | 14
    20 | 12 | 4
    10 | 8 | ?
26. 26.Each person always tells the truth or always lies. Pooja says: “Meera and I are different kinds.” Aditya says: “Pooja and I are different kinds.” Meera says: “Aditya and I are different kinds.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
27. 27.Which number is the odd one out: 17, 38, 47, 79? (a) 17 (b) 38 (c) 47 (d) 79
28. 28.Riya, Myra and Rahul each have a different pet: cat, tortoise or rabbit. Riya does not have the tortoise. Myra does not have the rabbit. Rahul does not have the cat. Rahul does not have the tortoise. Which pet does Myra have? (a) cat (b) tortoise (c) rabbit
29. 29.A clock shows 10:14. What time will it show 114 minutes later? (a) 12:08 (b) 11:58 (c) 12:18 (d) 1:08
30. 30.Which number is the odd one out: 39, 41, 32, 3? (a) 39 (b) 41 (c) 32 (d) 3
31. 31.A number machine multiplies a number by 2 and then takes away 5. Each output goes back in as the next input. Start with 8. What comes out after step 3?
32. 32.In a group of 28 children, 10 play cricket, 15 play football and 7 play both. How many play exactly one of the two?
33. 33.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: 56 50 23 33 26 43. After step 4, what is the 3rd number from the left?
34. 34.Aarav is a boy. How is Aarav’s father’s father’s only son related to Aarav? (a) grandfather (b) brother (c) uncle (d) father
35. 35.Is 2006 a leap year? (a) Yes (b) No
36. 36.Statements: All bags are books. Some bags are coins. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
37. 37.In a group of 28 children, 11 play cricket, 8 play football and 2 play both. How many play only football?
38. 38.Siddharth walks 19 m North, turns right and walks 12 m, then turns right again and walks 3 m. How far is he from the starting point now, in a straight line (in m)?
39. 39.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 4. What comes out after step 3?
40. 40.Which capital letter looks exactly the same in a mirror? (a) S (b) X (c) D (d) E

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