Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 753 · 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.Three friends (Farhan, Ishaan and Vivaan) sit in a row. Left and right are as you look at them. Farhan sits at the right end. Vivaan sits just to the right of Ishaan. Who sits just to the left of Farhan? (a) Ishaan (b) Farhan (c) Vivaan
2. 2.Find the missing number. The same rule works in every row or in every column.
   11 | 9 | ?
   11 | 3 | 14
   12 | 3 | 15
3. 3.Which capital letter looks exactly the same in a mirror? (a) S (b) C (c) B (d) U
4. 4.Saanvi is a girl. How is Saanvi’s mother’s mother related to Saanvi? (a) sister (b) aunt (c) mother (d) grandmother
5. 5.Two standard dice show 2 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
6. 6.Farhan is shorter than Yash. Aisha is taller than Yash. Who is the shortest? (a) Farhan (b) Aisha (c) Yash
7. 7.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
8. 8.Five friends (Aisha, Ananya, Ishaan, Kabir and Vivaan) sit in a row. Left and right are as you look at them. Aisha sits next to both Kabir and Ananya. Aisha sits somewhere to the left of Ishaan. Vivaan sits somewhere to the left of Ishaan. Vivaan sits somewhere to the left of Aisha. Kabir sits next to both Vivaan and Aisha. Who sits at the right end? (a) Kabir (b) Vivaan (c) Ananya (d) Ishaan
9. 9.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 6. What comes out after step 3?
10. 10.Find the missing number. The same rule works in every row or in every column.
    ? | 3 | 2
    9 | 6 | 1
    14 | 1 | 1
11. 11.Find the missing number. The same rule works in every row or in every column.
    5 | ? | 15
    7 | 2 | 14
    9 | 4 | 36
12. 12.Rule: If it rains, then the road gets wet. Fact: The road does not get wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell
13. 13.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 4. What comes out after step 2?
14. 14.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have exactly one painted face?
15. 15.Which capital letter does NOT look the same in a mirror? (a) C (b) Y (c) H (d) A
16. 16.Statements: No cups are balls. Some balls are toys. Conclusion: No cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
17. 17.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: 11 34 80 86 67 10. After step 4, what is the 2nd number from the left?
18. 18.If FROG is written as IURJ, how is COLD written in the same code? (a) ZLIA (b) FROG (c) GSPH (d) EQNF
19. 19.Which capital letter does NOT look the same in a mirror? (a) H (b) Z (c) O (d) T
20. 20.A clock shows 8:00. What time will it show 107 minutes later? (a) 9:57 (b) 9:37 (c) 10:47 (d) 9:47
21. 21.I am a 2-digit number. My digits add up to 13. If you swap my two digits, the new number is 27 more than me. What number am I?
22. 22.Marks in a maths test (out of 50): Aarav 16, Siddharth 48, Karan 18, Yash 30, Priya 19. What is the total for all five children?
23. 23.If SHIP is written as QFGN, how is STAR written in the same code? (a) QRYP (b) PQXO (c) RSZQ (d) UVCT
24. 24.If SHIP is written as HSRK, how is DESK written in the same code? (a) XWIQ (b) EFTL (c) VUGO (d) WVHP
25. 25.Two standard dice show 5 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
26. 26.Which capital letter looks exactly the same in a mirror? (a) D (b) F (c) O (d) S
27. 27.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 7. What comes out after step 3?
28. 28.Statements: No caps are bags. All pens are caps. Conclusion: No pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
29. 29.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    18 | 20 | 10
    8 | 16 | ?
    22 | 12 | 14
30. 30.If RAIN is written as PYGL, how is SHIP written in the same code? (a) UJKR (b) QFGN (c) RGHO (d) PEFM
31. 31.Statements: Some pens are shoes. Some keys are shoes. Conclusion: All keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
32. 32.In a group of 38 children, 13 sing Hindi songs, 18 sing English songs and 6 sing both. How many sing exactly one of the two?
33. 33.Vivaan runs faster than Farhan. Vivaan runs slower than Aisha. Farhan runs faster than Tara. Who runs the slowest? (a) Aisha (b) Vivaan (c) Tara (d) Farhan
34. 34.Today is Thursday. What day of the week will it be 43 days from today? (a) Thursday (b) Friday (c) Saturday (d) Sunday
35. 35.On a standard dice, opposite faces add up to 7. The dice shows 6 on top. What number is on the bottom face?
36. 36.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    13 | 23 | 9
    ? | 15 | 19
    21 | 7 | 17
37. 37.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 7. What comes out after step 3?
38. 38.Two standard dice show 6 and 3 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
39. 39.Myra walks 14 m South, then turns right and walks 8 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
40. 40.Find the missing number. The same rule works in every row or in every column.
    7 | 7 | ?
    2 | 4 | 8
    6 | 8 | 48

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