Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 121 · 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.Two standard dice show 6 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
2. 2.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 no painted face?
3. 3.On a standard dice, opposite faces add up to 7. The dice shows 6 on top. What number is on the bottom face?
4. 4.In a group of 33 grown-ups, 15 drink tea, 15 drink coffee and 9 drink both. How many drink exactly one of the two?
5. 5.Rule: If Omkar scores above 90, then Omkar gets a gold star. Fact: Omkar does not get a gold star. What can you say about “Omkar does not score above 90”? (a) must be true (b) must be false (c) can't tell
6. 6.Kavya, Dev and Kabir each play a different game: carrom, chess or football. Dev does not play carrom. Kabir does not play football. Kavya does not play carrom. Kavya does not play football. Which game does Dev play? (a) carrom (b) chess (c) football
7. 7.Find the missing number. The same rule works in every row or in every column.
   5 | 4 | 8
   9 | 6 | 2
   ? | 1 | 2
8. 8.If FISH is written as URHS, how is PEN written in the same code? (a) JUL (b) LWN (c) QFO (d) KVM
9. 9.Which number is the odd one out: 19, 90, 53, 17? (a) 19 (b) 90 (c) 53 (d) 17
10. 10.Each person always tells the truth or always lies. Vivaan says: “Tara and I are the same kind.” Tara says: “Vivaan is a liar.” Is Tara a truth-teller or a liar? (a) truth-teller (b) liar
11. 11.Find the missing number. The same rule works in every row or in every column.
    19 | ? | 19
    6 | 18 | 4
    25 | 25 | 23
12. 12.Which capital letter does NOT look the same in a mirror? (a) R (b) W (c) U (d) T
13. 13.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: 15 35 19 84 23 71. After step 2, what is the 3rd number from the left?
14. 14.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?
15. 15.Three friends (Arjun, Kavya and Manav) sit in a row. Left and right are as you look at them. Arjun sits next to both Kavya and Manav. Manav sits at the right end. Who sits just to the left of Arjun? (a) Kavya (b) Manav (c) Arjun
16. 16.Dev, Priya and Arjun each play a different game: chess, carrom or cricket. Dev does not play carrom. Priya does not play cricket. Arjun does not play carrom. Arjun does not play chess. Which game does Arjun play? (a) chess (b) carrom (c) cricket
17. 17.Find the missing number. The same rule works in every row or in every column.
    8 | 10 | ?
    20 | 9 | 29
    20 | 3 | 23
18. 18.Farhan, Aarav and Rohan each have a different pet: rabbit, tortoise or cat. Farhan does not have the rabbit. Aarav does not have the rabbit. Aarav does not have the tortoise. Which pet does Farhan have? (a) rabbit (b) tortoise (c) cat
19. 19.In a group of 40 children, 23 play chess, 21 play carrom and 8 play both. How many play exactly one of the two?
20. 20.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 7. What comes out after step 3?
21. 21.A clock shows 8:17. What time will it show 55 minutes later? (a) 10:12 (b) 9:12 (c) 9:22 (d) 9:02
22. 22.Books read in the summer holidays: Isha 26, Kavya 29, Pooja 4, Omkar 21, Ira 25. Who has the most books? (a) Kavya (b) Isha (c) Omkar (d) Ira
23. 23.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) S (b) M (c) H (d) Q
24. 24.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    5 | 10 | 9
    12 | 8 | ?
    7 | 6 | 11
25. 25.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 2?
26. 26.Farhan, Arjun and Sneha each have a bag of a different colour: yellow, blue or green. Sneha’s bag is not yellow. Farhan’s bag is not yellow. Sneha’s bag is not green. What colour is Arjun’s bag? (a) yellow (b) blue (c) green
27. 27.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is not red”? (a) must be true (b) must be false (c) can't tell
28. 28.Runs scored in a cricket match: Karan 54, Siddharth 21, Isha 37, Priya 41, Farhan 9. How many more runs does Siddharth have than Farhan?
29. 29.Four friends (Karan, Meera, Rohan and Yash) sit in a row. Left and right are as you look at them. Yash sits next to both Karan and Meera. Yash sits just to the right of Karan. Rohan sits at the left end. Who sits at the right end? (a) Karan (b) Rohan (c) Yash (d) Meera
30. 30.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: 41 68 23 76 13 92. After step 4, what is the 1st number from the left?
31. 31.Aisha, Kabir and Saanvi each play a different game: badminton, football or cricket. Kabir does not play cricket. Saanvi does not play badminton. Saanvi does not play football. Kabir does not play badminton. Which game does Kabir play? (a) badminton (b) football (c) cricket
32. 32.A clock shows 2:55. What time will it show 34 minutes later? (a) 3:29 (b) 4:29 (c) 3:19 (d) 3:39
33. 33.Arjun walks 15 m South, turns left and walks 15 m, then turns left again and walks 7 m. How far is he from the starting point now, in a straight line (in m)?
34. 34.Each person always tells the truth or always lies. Isha says: “Priya tells the truth.” Priya says: “Isha and I are the same kind.” Is Isha a truth-teller or a liar? (a) truth-teller (b) liar
35. 35.Rule: If the shop is open, then Rohan buys milk. Fact: The shop is not open. What can you say about “Rohan buys milk”? (a) must be true (b) must be false (c) can't tell
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 3 ÷ 18 − 6?
37. 37.Which number is the odd one out: 7, 72, 54, 24? (a) 7 (b) 72 (c) 54 (d) 24
38. 38.Which capital letter looks exactly the same in a mirror? (a) C (b) Z (c) Q (d) Y
39. 39.Is 2054 a leap year? (a) Yes (b) No
40. 40.Zoya is older than Meera. Zoya is younger than Diya. Who is the second youngest? (a) Meera (b) Diya (c) Zoya

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