Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 586 · 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.Ishaan is facing East. He turns right, then turns around (a half turn), then turns right, then turns left. Which direction is he facing now? (a) North (b) East (c) South (d) West
2. 2.In a group of 41 children, 19 sing Hindi songs, 16 sing English songs and 6 sing both. How many sing at least one of the two?
3. 3.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav does not go to the park. What can you say about “Manav does not finish the homework”? (a) must be true (b) must be false (c) can't tell
4. 4.Neel is a boy. How is Neel’s mother’s brother’s son related to Neel? (a) nephew (b) uncle (c) brother (d) cousin
5. 5.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
6. 6.Kavya is facing North. She turns left, then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
7. 7.Find the missing number. The same rule works in every row or in every column.
   8 | 2 | 16
   4 | ? | 24
   5 | 2 | 10
8. 8.Saanvi is shorter than Sneha. Meera is taller than Sneha. Who is the tallest? (a) Sneha (b) Meera (c) Saanvi
9. 9.Kabir is taller than Aisha. Kabir is shorter than Aarav. Who is the second tallest? (a) Aisha (b) Aarav (c) Kabir
10. 10.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: 45 87 75 52 15 77. After step 4, what is the 1st number from the left?
11. 11.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have exactly two painted faces?
12. 12.Which capital letter does NOT look the same in a mirror? (a) W (b) V (c) E (d) Y
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 4 + 4 − 8?
14. 14.Saanvi is a girl. How is Saanvi’s father’s father’s only son’s son related to Saanvi? (a) father (b) brother (c) cousin (d) uncle
15. 15.In a group of 38 grown-ups, 14 drink tea, 25 drink coffee and 5 drink both. How many drink at least one of the two?
16. 16.Which number is the odd one out: 90, 35, 14, 63? (a) 90 (b) 35 (c) 14 (d) 63
17. 17.If CAKE is written as EKAC, how is STAR written in the same code? (a) RATS (b) QZSR (c) SBUT (d) TUBS
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 20 − 15 × 3?
19. 19.Which number is the odd one out: 47, 19, 90, 17? (a) 47 (b) 19 (c) 90 (d) 17
20. 20.Find the missing number. The same rule works in every row or in every column.
    16 | 11 | 14
    8 | 9 | 9
    24 | ? | 23
21. 21.Find the missing number. The same rule works in every row or in every column.
    2 | 11 | 12
    21 | 3 | ?
    19 | 2 | 4
22. 22.Vivaan is facing South. He turns right, then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
23. 23.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: 22 39 23 52 10 72. After step 2, what is the 3rd number from the left?
24. 24.Three friends (Aarav, Meera and Zoya) sit in a row. Left and right are as you look at them. Zoya sits just to the right of Meera. Meera sits somewhere to the left of Aarav. Who sits in the middle? (a) Zoya (b) Meera (c) Aarav
25. 25.Rahul walks 8 m South, then turns left and walks 9 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
26. 26.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?
27. 27.A clock shows 7:04. What time will it show 54 minutes later? (a) 7:58 (b) 7:48 (c) 8:58 (d) 8:08
28. 28.Karan walks 2 m North, then turns right and walks 2 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
29. 29.Ira is facing East. She turns right, then turns right. Which direction is she facing now? (a) North (b) East (c) South (d) West
30. 30.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    23 | 13 | 15
    ? | 17 | 25
    19 | 21 | 11
31. 31.Find the missing number. The same rule works in every row or in every column.
    7 | ? | 28
    2 | 8 | 16
    5 | 5 | 25
32. 32.Rohan walks 12 m South, turns left and walks 24 m, then turns left again and walks 5 m. How far is he from the starting point now, in a straight line (in m)?
33. 33.Trees planted in a week: Priya 28, Sneha 37, Arjun 22, Ira 13, Pooja 30. What is the total for all five children?
34. 34.Statements: No balls are pens. All bells are balls. Conclusion: No bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
35. 35.In a group of 27 grown-ups, 15 drink tea, 18 drink coffee and 9 drink both. How many drink only coffee?
36. 36.Four friends (Dev, Rohan, Tara and Vivaan) sit in a row. Left and right are as you look at them. Vivaan sits next to both Tara and Dev. Tara sits somewhere to the left of Dev. Rohan sits at the left end. Who sits at the right end? (a) Vivaan (b) Rohan (c) Dev (d) Tara
37. 37.In a group of 28 children, 10 enjoy drawing, 14 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
38. 38.Each person always tells the truth or always lies. Ananya says: “Sneha is a liar.” Sneha says: “Arjun is a liar.” Arjun says: “Sneha and I are the same kind.” Is Ananya a truth-teller or a liar? (a) truth-teller (b) liar
39. 39.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: 44 48 25 30 43 85. After step 3, what is the 6th number from the left?
40. 40.A clock shows 2:37. What time does it show in a mirror? (a) 9:23 (b) 10:23 (c) 10:37 (d) 8:23

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