Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 316 · 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.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) Y (b) C (c) P (d) J
2. 2.In a group of 45 children, 20 enjoy drawing, 25 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
3. 3.If MOON is written as PQQO, how is DESK written in the same code? (a) IQCB (b) MUGF (c) FGUM (d) KSED
4. 4.Which number is the odd one out: 10, 57, 75, 39? (a) 10 (b) 57 (c) 75 (d) 39
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 2 − 11 + 4?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 8 × 8 + 13?
7. 7.Is 2000 a leap year? (a) Yes (b) No
8. 8.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) A (b) D (c) J (d) W
9. 9.How many degrees does the minute hand of a clock turn in 11 minutes? =
10. 10.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    20 | 5 | 26
    23 | 17 | 11
    8 | ? | 14
11. 11.Statements: All cups are pens. All balls are cups. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
12. 12.What is the smaller angle between the hour hand and the minute hand at 12:01? (in degrees) =
13. 13.Statements: All bags are kites. All bags are coins. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
14. 14.Vivaan is heavier than Saanvi. Aditya is lighter than Saanvi. Aditya is heavier than Aisha. Who is the heaviest? (a) Aisha (b) Vivaan (c) Aditya (d) Saanvi
15. 15.Rule: If Farhan wins the match, then Farhan gets a medal. Fact: Farhan gets a medal. What can you say about “Farhan wins the match”? (a) must be true (b) must be false (c) can't tell
16. 16.Rohan is lighter than Siddharth. Vivaan is lighter than Rohan. Who is the second lightest? (a) Rohan (b) Siddharth (c) Vivaan
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 9 ÷ 4 × 4?
18. 18.Two standard dice show 2 and 2 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
19. 19.Which number is the odd one out: 32, 29, 24, 96? (a) 32 (b) 29 (c) 24 (d) 96
20. 20.Find the missing number. The same rule works in every row or in every column.
    20 | 7 | 15
    5 | 14 | ?
    25 | 21 | 20
21. 21.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 4. What comes out after step 3?
22. 22.On a standard dice, opposite faces add up to 7. The dice shows 2 on top. What number is on the bottom face?
23. 23.Ananya is a girl. How is Ananya’s brother’s son related to Ananya? (a) son (b) nephew (c) brother (d) cousin
24. 24.Manav, Meera and Ishaan each have a different pet: rabbit, parrot or tortoise. Manav does not have the rabbit. Ishaan does not have the tortoise. Ishaan does not have the parrot. Meera does not have the tortoise. Which pet does Ishaan have? (a) rabbit (b) parrot (c) tortoise
25. 25.Statements: All toys are books. All shoes are toys. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
26. 26.Rahul is facing South. He turns right, then turns left, then turns right, then turns left. Which direction is he facing now? (a) North (b) East (c) South (d) West
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 3 − 15 × 15?
28. 28.A clock shows 12:21. What time does it show in a mirror? (a) 12:39 (b) 12:21 (c) 10:39 (d) 11:39
29. 29.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    ? | 9 | 14
    15 | 11 | 7
    8 | 13 | 12
30. 30.Zoya is heavier than Manav. Ishaan is lighter than Manav. Who is the heaviest? (a) Manav (b) Zoya (c) Ishaan
31. 31.A clock shows 9:21. What time does it show in a mirror? (a) 3:21 (b) 1:39 (c) 2:39 (d) 3:39
32. 32.Find the missing number. The same rule works in every row or in every column.
    5 | 11 | 16
    10 | 3 | ?
    18 | 15 | 33
33. 33.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 at least one painted face?
34. 34.Today is Monday. What day of the week will it be 64 days from today? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
35. 35.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    ? | 11 | 12
    9 | 13 | 17
    14 | 15 | 10
36. 36.In a group of 36 children, 11 enjoy drawing, 17 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
37. 37.Rohan is facing South. He turns right, then turns left. Which direction is he facing now? (a) North (b) East (c) South (d) West
38. 38.I am a 2-digit number. My digits add up to 7. If you swap my two digits, the new number is 9 more than me. What number am I?
39. 39.Which capital letter does NOT look the same in a mirror? (a) U (b) T (c) L (d) A
40. 40.How many degrees does the hour hand of a clock turn in 118 minutes? =

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