Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 770 · 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 5 on top. What number is on the bottom face?
2. 2.Find the missing number. The same rule works in every row or in every column.
   1 | 14 | 15
   ? | 2 | 12
   11 | 19 | 30
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 4 + 2 − 9 ÷ 2?
4. 4.Statements: Some cups are boxes. All balls are cups. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
5. 5.What is the smaller angle between the hour hand and the minute hand at 6:23? (in degrees) =
6. 6.Riya, Vivaan and Saanvi each have a different pet: tortoise, dog or rabbit. Riya does not have the rabbit. Vivaan does not have the tortoise. Saanvi does not have the rabbit. Riya does not have the tortoise. Which pet does Vivaan have? (a) tortoise (b) dog (c) rabbit
7. 7.Aisha walks 10 m South, then turns around and walks 3 m. How far is she from the starting point now (in m)?
8. 8.Riya is a girl. How is Riya’s brother’s son related to Riya? (a) son (b) brother (c) nephew (d) cousin
9. 9.Arjun is a boy. How is Arjun’s mother’s father related to Arjun? (a) father (b) grandson (c) uncle (d) grandfather
10. 10.Arjun is taller than Dev. Rahul is shorter than Dev. Who is the shortest? (a) Dev (b) Arjun (c) Rahul
11. 11.A number machine multiplies a number by 2 and then adds 5. Each output goes back in as the next input. Start with 9. What comes out after step 2?
12. 12.Steps climbed in a minute: Meera 74, Ira 87, Karan 43, Zoya 23, Arjun 39. What is the difference between the highest and the lowest?
13. 13.Nisha walks 11 m South, turns right and walks 4 m, then turns right again and walks 8 m. How far is she from the starting point now, in a straight line (in m)?
14. 14.Statements: Some boxes are pens. No toys are pens. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
15. 15.Three friends (Isha, Kabir and Nisha) sit in a row. Left and right are as you look at them. Kabir sits just to the right of Isha. Kabir sits at the right end. Who sits just to the left of Isha? (a) Kabir (b) Isha (c) Nisha
16. 16.Rule: If Diya finishes the homework, then Diya goes to the park. Fact: Diya goes to the park. What can you say about “Diya finishes the homework”? (a) must be true (b) must be false (c) can't tell
17. 17.If CAKE is written as DBLF, how is LAMP written in the same code? (a) KZLO (b) NCOR (c) QNBM (d) MBNQ
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 15 ÷ 4 − 10?
19. 19.Rohan is a boy. How is Rohan’s father’s only son’s sister related to Rohan? (a) sister (b) mother (c) aunt (d) cousin
20. 20.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: 26 19 48 84 38 55. After step 4, what is the 3rd number from the left?
21. 21.Rahul runs faster than Ananya. Ananya runs faster than Sneha. Who runs the fastest? (a) Rahul (b) Ananya (c) Sneha
22. 22.Which capital letter does NOT look the same in a mirror? (a) W (b) S (c) A (d) I
23. 23.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    10 | ? | 12
    11 | 9 | 7
    6 | 13 | 8
24. 24.Marks in a maths test (out of 50): Diya 40, Omkar 38, Dev 24, Arjun 16, Kavya 31. What is the difference between the highest and the lowest?
25. 25.If GOLD is written as EMPH, how is CAT written in the same code? (a) SZB (b) DBU (c) TAC (d) UBD
26. 26.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: 76 12 30 26 33 22. After step 4, what is the 5th number from the left?
27. 27.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not get water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
28. 28.Rule: If Aditya scores above 90, then Aditya gets a gold star. Fact: Aditya does not get a gold star. What can you say about “Aditya scores above 90”? (a) must be true (b) must be false (c) can't tell
29. 29.Saanvi is a girl. How is Saanvi’s father’s father’s only son related to Saanvi? (a) brother (b) grandfather (c) father (d) uncle
30. 30.Rule: If the traffic light is red, then the cars stop. Fact: The cars do not stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
31. 31.How many degrees does the hour hand of a clock turn in 43 minutes? =
32. 32.Today is Thursday. What day of the week will it be 73 days from today? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
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: 25 54 16 75 26 71. After step 2, what is the 5th number from the left?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 6 × 2 + 4?
35. 35.Isha runs faster than Kabir. Tara runs slower than Kabir. Who runs the slowest? (a) Tara (b) Isha (c) Kabir
36. 36.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not stay green. What can you say about “The plant gets water”? (a) must be true (b) must be false (c) can't tell
37. 37.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
38. 38.On a standard dice, opposite faces add up to 7. The dice shows 2 on top. What number is on the bottom face?
39. 39.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have no painted face?
40. 40.Which capital letter looks exactly the same in a mirror? (a) F (b) U (c) L (d) K

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