Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 789 · 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.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 three painted faces?
2. 2.Trees planted in a week: Riya 35, Kavya 6, Omkar 25, Pooja 38, Manav 29. Who has the fewest trees? (a) Pooja (b) Riya (c) Kavya (d) Omkar
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 6 + 10 × 12?
4. 4.Five friends (Isha, Kabir, Kavya, Sneha and Yash) sit in a row. Left and right are as you look at them. Isha sits somewhere to the left of Kavya. Sneha sits somewhere to the left of Yash. Kabir sits next to both Yash and Kavya. Kavya sits just to the right of Kabir. Yash sits just to the right of Isha. Who sits at the right end? (a) Kavya (b) Sneha (c) Kabir (d) Yash
5. 5.Ananya walks 26 m East, then turns around and walks 13 m. How far is she from the starting point now (in m)?
6. 6.How many degrees does the minute hand of a clock turn in 8 minutes? =
7. 7.In a group of 32 children, 10 play cricket, 24 play football and 5 play both. How many play exactly one of the two?
8. 8.I am a 2-digit number. My digits add up to 2 and my tens digit is 2 more than my ones digit. What number am I?
9. 9.Find the missing number. The same rule works in every row or in every column.
   3 | 3 | 12
   8 | 6 | 17
   11 | 9 | ?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 5 − 6 + 17?
11. 11.In a group of 48 children, 23 enjoy drawing, 28 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
12. 12.Marks in a maths test (out of 50): Ishaan 37, Kavya 16, Priya 32, Aisha 15, Yash 49. How many more marks does Priya have than Kavya?
13. 13.Manav, Dev and Siddharth each have a bag of a different colour: green, yellow or white. Dev’s bag is not yellow. Manav’s bag is not white. Manav’s bag is not green. Siddharth’s bag is not white. What colour is Siddharth’s bag? (a) green (b) yellow (c) white
14. 14.Is 2002 a leap year? (a) Yes (b) No
15. 15.If DRUM is written as OWTF, how is HAND written in the same code? (a) JCPF (b) FPCJ (c) BLYF (d) DNAH
16. 16.1 January 2027 is a Friday. What day of the week is 28 September 2027? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
17. 17.Aisha is lighter than Aarav. Ira is heavier than Aarav. Who is the second heaviest? (a) Aarav (b) Ira (c) Aisha
18. 18.Which number is the odd one out: 83, 47, 19, 30? (a) 83 (b) 47 (c) 19 (d) 30
19. 19.Five friends (Ananya, Ishaan, Karan, Neel and Rahul) sit in a row. Left and right are as you look at them. Karan sits just to the right of Neel. Ananya sits somewhere to the left of Neel. Ananya sits at the left end. Rahul sits next to both Ananya and Ishaan. Who sits in the middle? (a) Ishaan (b) Karan (c) Neel (d) Ananya
20. 20.Find the missing number. The same rule works in every row or in every column.
    3 | 15 | 19
    4 | 1 | ?
    7 | 16 | 35
21. 21.A clock shows 2:37. What time does it show in a mirror? (a) 8:23 (b) 10:23 (c) 9:23 (d) 10:37
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 4 ÷ 8 + 4?
23. 23.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    15 | 10 | 11
    ? | 12 | 16
    13 | 14 | 9
24. 24.A clock shows 12:06. What time does it show in a mirror? (a) 12:54 (b) 10:54 (c) 11:54 (d) 12:06
25. 25.In a group of 46 children, 23 like mangoes, 15 like bananas and 4 like both. How many like only mangoes?
26. 26.In a group of 44 children, 20 enjoy drawing, 24 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
27. 27.If GOLD is written as TLOW, how is FISH written in the same code? (a) VSIT (b) TQGR (c) GJTI (d) URHS
28. 28.Three friends (Arjun, Kavya and Yash) sit in a row. Left and right are as you look at them. Yash does not sit at either end. Arjun sits at the left end. Who sits just to the right of Yash? (a) Arjun (b) Kavya (c) Yash
29. 29.If BALL is written as ZYJJ, how is COLD written in the same code? (a) EQNF (b) BNKC (c) AMJB (d) ZLIA
30. 30.Rule: If the shop is open, then Isha buys milk. Fact: Isha does not buy milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
31. 31.Runs scored in a cricket match: Ira 11, Omkar 60, Vivaan 38, Pooja 50, Aarav 24. Who has the fewest runs? (a) Omkar (b) Vivaan (c) Pooja (d) Ira
32. 32.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara does not finish the homework. What can you say about “Tara does not go to the park”? (a) must be true (b) must be false (c) can't tell
33. 33.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    6 | 16 | ?
    20 | 12 | 4
    10 | 8 | 18
34. 34.A clock shows 6:56. What time will it show 38 minutes later? (a) 7:44 (b) 7:24 (c) 8:34 (d) 7:34
35. 35.Nisha, Kabir and Priya each have a different pet: rabbit, dog or cat. Priya does not have the cat. Kabir does not have the dog. Nisha does not have the dog. Kabir does not have the cat. Which pet does Priya have? (a) rabbit (b) dog (c) cat
36. 36.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: 95 44 35 96 43 97. After step 2, what is the 2nd number from the left?
37. 37.Four friends (Aisha, Arjun, Nisha and Yash) sit in a row. Left and right are as you look at them. Aisha sits somewhere to the left of Arjun. Yash sits somewhere to the left of Arjun. Yash sits somewhere to the left of Nisha. Aisha does not sit at either end. Aisha sits just to the right of Yash. Arjun sits just to the right of Nisha. Who sits at the right end? (a) Aisha (b) Arjun (c) Nisha (d) Yash
38. 38.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
39. 39.Meera is heavier than Saanvi. Yash is lighter than Pooja. Meera is lighter than Yash. Who is the lightest? (a) Saanvi (b) Pooja (c) Yash (d) Meera
40. 40.A clock shows 7:05. What time will it show 151 minutes later? (a) 10:36 (b) 9:26 (c) 9:46 (d) 9:36

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