Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 245 · 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.On a standard dice, opposite faces add up to 7. The dice shows 2 on top. What number is on the bottom face?
2. 2.In a group of 27 children, 15 sing Hindi songs, 20 sing English songs and 9 sing both. How many sing only English songs?
3. 3.Pooja is a girl. How is Pooja’s mother’s brother’s son related to Pooja? (a) brother (b) uncle (c) nephew (d) cousin
4. 4.Each person always tells the truth or always lies. Karan says: “Farhan and I are different kinds.” Farhan says: “Meera and I both tell the truth.” Meera says: “At least one of us two, Karan or I, is a liar.” Is Karan a truth-teller or a liar? (a) truth-teller (b) liar
5. 5.Statements: All caps are rings. No rings are boxes. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
6. 6.A wooden cube is painted on all six faces, then each edge is cut into 6 equal parts, making small cubes. How many small cubes have exactly one painted face?
7. 7.What is the smaller angle between the hour hand and the minute hand at 3:46? (in degrees) =
8. 8.Three friends (Ananya, Dev and Vivaan) sit in a row. Left and right are as you look at them. Vivaan sits just to the right of Dev. Vivaan does not sit at either end. Who sits just to the left of Ananya? (a) Dev (b) Ananya (c) Vivaan
9. 9.1 January 2020 is a Wednesday. What day of the week is 17 April 2020? (a) Thursday (b) Sunday (c) Friday (d) Saturday
10. 10.Aisha is heavier than Ishaan. Manav is heavier than Aisha. Who is the heaviest? (a) Aisha (b) Ishaan (c) Manav
11. 11.Each person always tells the truth or always lies. Sneha says: “Ishaan and I are the same kind.” Ishaan says: “Sneha and I are different kinds.” Is Ishaan a truth-teller or a liar? (a) truth-teller (b) liar
12. 12.In a group of 35 children, 21 play cricket, 6 play football and 2 play both. How many play only cricket?
13. 13.Meera walks 25 m North, turns left and walks 12 m, then turns left again and walks 9 m. How far is she from the starting point now, in a straight line (in m)?
14. 14.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
15. 15.If HAND is written as KDQG, how is BOAT written in the same code? (a) FSEX (b) ERDW (c) YLXQ (d) DQCV
16. 16.In a group of 40 children, 23 enjoy drawing, 7 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
17. 17.Today is Saturday. What day of the week will it be 81 days from today? (a) Wednesday (b) Friday (c) Tuesday (d) Thursday
18. 18.Today is Friday. What day of the week will it be 34 days from today? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
19. 19.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
20. 20.Aisha runs slower than Manav. Manav runs slower than Ira. Who runs the second fastest? (a) Manav (b) Ira (c) Aisha
21. 21.Rule: If Aisha scores above 90, then Aisha gets a gold star. Fact: Aisha gets a gold star. What can you say about “Aisha scores above 90”? (a) must be true (b) must be false (c) can't tell
22. 22.Vivaan is younger than Sneha. Vivaan is older than Ananya. Karan is older than Sneha. Who is the oldest? (a) Ananya (b) Sneha (c) Vivaan (d) Karan
23. 23.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) Y (b) W (c) S (d) E
24. 24.Today is Monday. What day of the week will it be 15 days from today? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
25. 25.In a group of 35 children, 24 play chess, 18 play carrom and 12 play both. How many play only chess?
26. 26.Which capital letter looks exactly the same in a mirror? (a) F (b) D (c) Y (d) R
27. 27.Which number is the odd one out: 6, 38, 48, 24? (a) 6 (b) 38 (c) 48 (d) 24
28. 28.Statements: All pens are bags. Some cups are bags. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
29. 29.On a standard dice, opposite faces add up to 7. The dice shows 5 on top. What number is on the bottom face?
30. 30.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    5 | 4 | ?
    10 | 6 | 2
    3 | 8 | 7
31. 31.I am a 2-digit number. My digits add up to 17. If you swap my two digits, the new number is 9 more than me. What number am I?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 7 × 16 ÷ 7?
33. 33.The sum of three consecutive numbers is 117. What is the smallest of them?
34. 34.Riya is shorter than Priya. Riya is taller than Ishaan. Ishaan is taller than Farhan. Who is the second tallest? (a) Ishaan (b) Riya (c) Farhan (d) Priya
35. 35.Which number is the odd one out: 59, 73, 84, 29? (a) 59 (b) 73 (c) 84 (d) 29
36. 36.Rahul walks 12 m East, then turns right and walks 9 m. How far is he from the starting point now, in a straight line (in m)?
37. 37.A clock shows 8:41. What time will it show 134 minutes later? (a) 11:05 (b) 10:55 (c) 10:45 (d) 11:55
38. 38.Which number is the odd one out: 11, 53, 61, 18? (a) 11 (b) 53 (c) 61 (d) 18
39. 39.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: 29 53 97 13 81 77. After step 2, what is the 4th number from the left?
40. 40.Which number is the odd one out: 32, 52, 18, 72? (a) 32 (b) 52 (c) 18 (d) 72

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