Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 661 · 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 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: 58 25 70 55 42 88. After step 4, what is the 4th number from the left?
2. 2.19 August is a Sunday. What day of the week is 19 September of the same year? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
3. 3.Kabir, Kavya and Rahul each play a different game: cricket, badminton or football. Kavya does not play badminton. Kabir does not play badminton. Kabir does not play football. Which game does Rahul play? (a) cricket (b) badminton (c) football
4. 4.In a group of 46 children, 16 like mangoes, 22 like bananas and 7 like both. How many like only bananas?
5. 5.Three friends (Riya, Siddharth and Vivaan) sit in a row. Left and right are as you look at them. Riya sits just to the right of Siddharth. Riya sits next to both Siddharth and Vivaan. Who sits just to the right of Riya? (a) Siddharth (b) Riya (c) Vivaan
6. 6.If LAMP is written as OLZK, how is BALL written in the same code? (a) KKZA (b) LLAB (c) MMBC (d) AZKK
7. 7.Each person always tells the truth or always lies. Siddharth says: “Arjun and I both tell the truth.” Arjun says: “Siddharth is a liar.” Is Siddharth a truth-teller or a liar? (a) truth-teller (b) liar
8. 8.Statements: All shoes are bells. All bells are caps. Conclusion: All caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
9. 9.In a group of 18 children, 12 sing Hindi songs, 8 sing English songs and 4 sing both. How many sing neither of the two?
10. 10.In a group of 37 children, 16 play cricket, 12 play football and 5 play both. How many play only cricket?
11. 11.Find the missing number. The same rule works in every row or in every column.
    14 | 2 | 2
    6 | 2 | 10
    16 | 1 | ?
12. 12.Steps climbed in a minute: Nisha 57, Riya 56, Tara 45, Arjun 43, Meera 37. What is the total for all five children?
13. 13.Siddharth is older than Ananya. Ananya is older than Omkar. Omkar is older than Nisha. Who is the second youngest? (a) Omkar (b) Siddharth (c) Ananya (d) Nisha
14. 14.Find the missing number. The same rule works in every row or in every column.
    15 | 5 | 19
    9 | 5 | 19
    24 | ? | 38
15. 15.A clock shows 12:07. What time will it show 159 minutes later? (a) 2:36 (b) 2:46 (c) 2:56 (d) 3:46
16. 16.Find the missing number. The same rule works in every row or in every column.
    17 | ? | 13
    12 | 16 | 10
    29 | 20 | 23
17. 17.Is 2005 a leap year? (a) Yes (b) No
18. 18.Statements: No balls are boxes. All pens are boxes. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
19. 19.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) N (b) Y (c) H (d) Z
20. 20.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    12 | 17 | 16
    19 | 15 | 11
    14 | 13 | ?
21. 21.Find the missing number. The same rule works in every row or in every column.
    5 | 6 | 30
    3 | 8 | 24
    4 | 6 | ?
22. 22.Which number is the odd one out: 7, 71, 83, 21? (a) 7 (b) 71 (c) 83 (d) 21
23. 23.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have at least one painted face?
24. 24.Statements: All caps are kites. No pens are kites. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
25. 25.I am a 2-digit number. My digits add up to 3 and my tens digit is 3 more than my ones digit. What number am I?
26. 26.Find the missing number. The same rule works in every row or in every column.
    17 | 20 | ?
    2 | 4 | 15
    19 | 24 | 21
27. 27.Saanvi walks 21 m North, turns right and walks 9 m, then turns right again and walks 9 m. How far is she from the starting point now, in a straight line (in m)?
28. 28.Rule: If Aisha wins the match, then Aisha gets a medal. Fact: Aisha gets a medal. What can you say about “Aisha wins the match”? (a) must be true (b) must be false (c) can't tell
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 12 − 2 + 8?
30. 30.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 49 96 46 20 34. After step 2, what is the 2nd number from the left?
31. 31.I am a 2-digit number. My digits add up to 9 and my tens digit is 1 more than my ones digit. What number am I?
32. 32.Statements: No coins are balls. Some coins are rings. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
33. 33.Find the missing number. The same rule works in every row or in every column.
    20 | 5 | 11
    15 | 6 | 7
    35 | 11 | ?
34. 34.Ira is a girl. How is Ira’s father’s sister related to Ira? (a) mother (b) cousin (c) sister (d) aunt
35. 35.Statements: All coins are keys. All coins are bags. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
36. 36.On a standard dice, opposite faces add up to 7. The dice shows 4 on top. What number is on the bottom face?
37. 37.Which number is the odd one out: 74, 59, 41, 89? (a) 74 (b) 59 (c) 41 (d) 89
38. 38.Statements: All keys are shoes. Some bells are shoes. Conclusion: No keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
39. 39.Steps climbed in a minute: Meera 24, Siddharth 64, Kavya 34, Aditya 52, Myra 82. How many more steps does Myra have than Aditya?
40. 40.Rohan is lighter than Kavya. Vivaan is lighter than Rohan. Who is the second heaviest? (a) Vivaan (b) Kavya (c) Rohan

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