Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 149 · 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 1 on top. What number is on the bottom face?
2. 2.In a group of 18 children, 7 enjoy drawing, 13 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
3. 3.If COLD is written as XLOW, how is STAR written in the same code? (a) GFYH (b) IHAJ (c) TUBS (d) HGZI
4. 4.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?
5. 5.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: 70 39 13 58 29 44. After step 3, what is the 1st number from the left?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 6 ÷ 8 × 17?
7. 7.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 6. What comes out after step 3?
8. 8.Two standard dice show 4 and 3 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
9. 9.Rule: If the shop is open, then Omkar buys milk. Fact: The shop is open. What can you say about “Omkar does not buy milk”? (a) must be true (b) must be false (c) can't tell
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 16 × 3 − 8?
11. 11.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have at least one painted face?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 8 ÷ 12 + 5?
13. 13.Tara is shorter than Manav. Aarav is shorter than Meera. Manav is shorter than Aarav. Who is the shortest? (a) Aarav (b) Meera (c) Tara (d) Manav
14. 14.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?
15. 15.If FISH is written as URHS, how is SHIP written in the same code? (a) GRQJ (b) TIJQ (c) ITSL (d) HSRK
16. 16.Aarav is a boy. How is Aarav’s father’s sister related to Aarav? (a) mother (b) aunt (c) sister (d) cousin
17. 17.1 January 2006 is a Sunday. What day of the week is 13 August 2006? (a) Tuesday (b) Saturday (c) Monday (d) Sunday
18. 18.Which number is the odd one out: 75, 66, 85, 50? (a) 75 (b) 66 (c) 85 (d) 50
19. 19.Isha walks 13 m West, then turns right and walks 10 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 4 − 16 × 12?
21. 21.Isha, Diya and Manav each have a different pet: cat, parrot or rabbit. Diya does not have the rabbit. Isha does not have the cat. Manav does not have the cat. Manav does not have the rabbit. Who has the parrot? (a) Isha (b) Diya (c) Manav
22. 22.What is the smaller angle between the hour hand and the minute hand at 3:51? (in degrees) =
23. 23.Five friends (Diya, Myra, Rahul, Siddharth and Zoya) sit in a row. Left and right are as you look at them. Diya sits next to both Myra and Siddharth. Rahul sits just to the right of Siddharth. Myra sits at the left end. Who sits just to the left of Siddharth? (a) Siddharth (b) Rahul (c) Zoya (d) Diya
24. 24.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: 64 29 47 66 33 98. After step 2, what is the 3rd number from the left?
25. 25.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 8. What comes out after step 2?
26. 26.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: 64 70 67 23 66 90. After step 3, what is the 2nd number from the left?
27. 27.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
28. 28.In a group of 30 grown-ups, 21 drink tea, 7 drink coffee and 2 drink both. How many drink neither of the two?
29. 29.Statements: No pens are balls. Some boxes are pens. Conclusion: All balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
30. 30.A clock shows 4:20. What time will it show 137 minutes later? (a) 6:47 (b) 7:37 (c) 6:27 (d) 6:37
31. 31.A clock shows 1:28. What time does it show in a mirror? (a) 11:28 (b) 11:32 (c) 9:32 (d) 10:32
32. 32.Rohan is a boy. How is Rohan’s mother’s only daughter related to Rohan? (a) mother (b) sister (c) niece (d) aunt
33. 33.Omkar, Meera and Karan each have a bag of a different colour: green, yellow or red. Meera’s bag is not red. Karan’s bag is not green. Karan’s bag is not yellow. Omkar’s bag is not yellow. What colour is Omkar’s bag? (a) green (b) yellow (c) red
34. 34.Four friends (Aditya, Dev, Ira and Siddharth) sit in a row. Left and right are as you look at them. Siddharth sits somewhere to the left of Ira. Aditya does not sit at either end. Dev sits somewhere to the left of Ira. Siddharth sits next to both Dev and Aditya. Who sits just to the right of Aditya? (a) Ira (b) Aditya (c) Dev (d) Siddharth
35. 35.Zoya is taller than Tara. Kabir is shorter than Tara. Siddharth is taller than Zoya. Who is the second tallest? (a) Siddharth (b) Kabir (c) Tara (d) Zoya
36. 36.Priya, Kabir and Tara each have a different pet: dog, parrot or cat. Tara does not have the dog. Priya does not have the cat. Kabir does not have the cat. Kabir does not have the parrot. Who has the parrot? (a) Priya (b) Kabir (c) Tara
37. 37.If BOOK is written as ERRN, how is BELL written in the same code? (a) YBII (b) DGNN (c) FIPP (d) EHOO
38. 38.Arjun, Aarav and Riya each have a different pet: tortoise, dog or cat. Aarav does not have the dog. Riya does not have the dog. Aarav does not have the cat. Which pet does Aarav have? (a) tortoise (b) dog (c) cat
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 2 + 3 − 6?
40. 40.Find the missing number. The same rule works in every row or in every column.
    11 | 5 | 16
    13 | 16 | 6
    ? | 21 | 22

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