Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 15 · 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.In a group of 43 grown-ups, 14 drink tea, 28 drink coffee and 9 drink both. How many drink only tea?
2. 2.I am a 2-digit number. My digits add up to 11. If you swap my two digits, the new number is 45 more than me. What number am I?
3. 3.Which number is the odd one out: 24, 48, 68, 61? (a) 24 (b) 48 (c) 68 (d) 61
4. 4.Omkar walks 11 m East, then turns around and walks 7 m. How far is he from the starting point now (in m)?
5. 5.Find the missing number. The same rule works in every row or in every column.
   18 | 14 | 32
   20 | 14 | 34
   20 | ? | 28
6. 6.20 May is a Saturday. What day of the week is 20 June of the same year? (a) Wednesday (b) Thursday (c) Tuesday (d) Monday
7. 7.If HAND is written as DNAH, how is BALL written in the same code? (a) KKZA (b) LLAB (c) CBMM (d) MMBC
8. 8.Aditya runs slower than Nisha. Myra runs slower than Aditya. Who runs the second fastest? (a) Nisha (b) Aditya (c) Myra
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 11 ÷ 10 + 3?
10. 10.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    ? | 14 | 24
    26 | 18 | 10
    12 | 22 | 20
11. 11.Rule: If Aarav scores above 90, then Aarav gets a gold star. Fact: Aarav does not score above 90. What can you say about “Aarav gets a gold star”? (a) must be true (b) must be false (c) can't tell
12. 12.Find the missing number. The same rule works in every row or in every column.
    10 | 4 | 10
    6 | 5 | 18
    16 | ? | 28
13. 13.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 28 97 35 22 58. After step 2, what is the 3rd number from the left?
14. 14.In a group of 35 children, 19 enjoy drawing, 16 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
15. 15.Arjun runs slower than Tara. Arjun runs faster than Ananya. Who runs the fastest? (a) Ananya (b) Tara (c) Arjun
16. 16.3 September is a Monday. What day of the week is 3 October of the same year? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
17. 17.What is the smaller angle between the hour hand and the minute hand at 7:27? (in degrees) =
18. 18.If KITE is written as FUJL, how is SHIP written in the same code? (a) TIJQ (b) PIHS (c) QJIT (d) OHGR
19. 19.A clock shows 11:25. What time will it show 52 minutes later? (a) 12:07 (b) 12:17 (c) 1:17 (d) 12:27
20. 20.Statements: All books are cups. No cups are bells. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
21. 21.Neel, Omkar and Yash each play a different game: chess, cricket or badminton. Omkar does not play chess. Yash does not play badminton. Neel does not play chess. Omkar does not play cricket. Which game does Yash play? (a) chess (b) cricket (c) badminton
22. 22.Today is Friday. What day of the week will it be 67 days from today? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
23. 23.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: 23 32 49 40 22 19. After step 4, what is the 5th number from the left?
24. 24.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
25. 25.Is 2045 a leap year? (a) Yes (b) No
26. 26.On a standard dice, opposite faces add up to 7. The dice shows 4 on top. What number is on the bottom face?
27. 27.Find the missing number. The same rule works in every row or in every column.
    3 | 4 | 12
    9 | 3 | 27
    9 | ? | 54
28. 28.Rule: If the shop is open, then Farhan buys milk. Fact: Farhan 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
29. 29.I am a 2-digit number. My digits add up to 16. If you swap my two digits, the new number is 18 more than me. What number am I?
30. 30.Find the missing number. The same rule works in every row or in every column.
    4 | ? | 9
    9 | 10 | 20
    13 | 25 | 29
31. 31.Tara walks 10 m West, then turns around and walks 6 m. How far is she from the starting point now (in m)?
32. 32.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 9. What comes out after step 2?
33. 33.Rule: If Riya scores above 90, then Riya gets a gold star. Fact: Riya does not get a gold star. What can you say about “Riya scores above 90”? (a) must be true (b) must be false (c) can't tell
34. 34.If SHIP is written as HSRK, how is HAND written in the same code? (a) TANX (b) IBOE (c) RYLV (d) SZMW
35. 35.Karan runs faster than Rahul. Rahul runs faster than Nisha. Who runs the fastest? (a) Rahul (b) Nisha (c) Karan
36. 36.Which capital letter does NOT look the same in a mirror? (a) U (b) H (c) C (d) V
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 18 − 9 + 6?
38. 38.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: 32 47 43 28 69 55. After step 3, what is the 5th number from the left?
39. 39.If RAIN is written as SBJO, how is DOG written in the same code? (a) EPH (b) HPE (c) CNF (d) FQI
40. 40.Kabir, Manav and Meera each have a bag of a different colour: red, blue or green. Meera’s bag is not green. Meera’s bag is not red. Manav’s bag is not green. What colour is Manav’s bag? (a) red (b) blue (c) green

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