Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 772 · 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: 14 91 45 25 55 99. After step 3, what is the 2nd number from the left?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 11 × 3 + 2?
3. 3.In a group of 18 children, 10 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
4. 4.Neel is facing East. He turns left, then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
5. 5.Isha is lighter than Ishaan. Tara is lighter than Isha. Who is the second lightest? (a) Isha (b) Ishaan (c) Tara
6. 6.Today is Friday. What day of the week will it be 56 days from today? (a) Saturday (b) Thursday (c) Friday (d) Sunday
7. 7.In a group of 37 children, 15 play chess, 24 play carrom and 8 play both. How many play only carrom?
8. 8.If STAR is written as QRYP, how is JUMP written in the same code? (a) ITLO (b) GRJM (c) HSKN (d) LWOR
9. 9.In a group of 44 children, 19 enjoy drawing, 26 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
10. 10.Five friends (Aditya, Pooja, Riya, Siddharth and Zoya) sit in a row. Left and right are as you look at them. Pooja sits at the right end. Riya does not sit at either end. Zoya sits next to both Siddharth and Riya. Riya sits just to the right of Zoya. Siddharth sits just to the right of Aditya. Who sits at the left end? (a) Pooja (b) Riya (c) Siddharth (d) Aditya
11. 11.Rule: If Kavya scores above 90, then Kavya gets a gold star. Fact: Kavya does not get a gold star. What can you say about “Kavya does not score above 90”? (a) must be true (b) must be false (c) can't tell
12. 12.If CAT is written as XZG, how is CAKE written in the same code? (a) YAQW (b) DBLF (c) XZPV (d) WYOU
13. 13.Arjun is a boy. How is Arjun’s mother’s only daughter related to Arjun? (a) aunt (b) mother (c) niece (d) sister
14. 14.Trees planted in a week: Pooja 23, Ananya 17, Kabir 11, Karan 34, Yash 36. What is the total for all five children?
15. 15.Which number is the odd one out: 64, 99, 16, 76? (a) 64 (b) 99 (c) 16 (d) 76
16. 16.Statements: Some pens are bells. All pens are caps. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
17. 17.How many degrees does the hour hand of a clock turn in 165 minutes? =
18. 18.Find the missing number. The same rule works in every row or in every column.
    11 | 18 | 29
    7 | 3 | ?
    1 | 11 | 12
19. 19.Is 1998 a leap year? (a) Yes (b) No
20. 20.Dev is a boy. How is Dev’s sister’s son related to Dev? (a) brother (b) son (c) nephew (d) cousin
21. 21.In a group of 29 children, 17 sing Hindi songs, 19 sing English songs and 9 sing both. How many sing only English songs?
22. 22.1 January 2034 is a Sunday. What day of the week is 28 June 2034? (a) Thursday (b) Wednesday (c) Tuesday (d) Friday
23. 23.Find the missing number. The same rule works in every row or in every column.
    5 | 3 | ?
    10 | 3 | 1
    6 | 5 | 3
24. 24.Each person always tells the truth or always lies. Karan says: “Ishaan and I are the same kind.” Ishaan says: “At least one of us two, Karan or I, is a liar.” Arjun says: “Karan is a liar.” Is Karan a truth-teller or a liar? (a) truth-teller (b) liar
25. 25.Tara is a girl. How is Tara’s father’s father’s only son’s son related to Tara? (a) father (b) uncle (c) cousin (d) brother
26. 26.Find the missing number. The same rule works in every row or in every column.
    3 | 20 | 23
    12 | 3 | 15
    ? | 20 | 39
27. 27.Find the missing number. The same rule works in every row or in every column.
    8 | 3 | 17
    7 | 13 | ?
    15 | 16 | 23
28. 28.Find the missing number. The same rule works in every row or in every column.
    1 | ? | 5
    10 | 2 | 12
    19 | 18 | 37
29. 29.Steps climbed in a minute: Aarav 61, Pooja 30, Vivaan 45, Aisha 39, Tara 31. How many children have more than 39 steps?
30. 30.Find the missing number. The same rule works in every row or in every column.
    4 | 16 | 20
    1 | 12 | ?
    3 | 2 | 5
31. 31.The sum of three consecutive numbers is 132. What is the largest of them?
32. 32.Which capital letter looks exactly the same in a mirror? (a) S (b) R (c) Z (d) W
33. 33.Diya is younger than Ananya. Neel is younger than Vivaan. Vivaan is younger than Diya. Who is the second oldest? (a) Diya (b) Vivaan (c) Neel (d) Ananya
34. 34.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) E (b) G (c) P (d) R
35. 35.Which capital letter does NOT look the same in a mirror? (a) O (b) U (c) R (d) W
36. 36.If FROG is written as GORF, how is PEN written in the same code? (a) OFQ (b) NEP (c) QFO (d) MDO
37. 37.A clock shows 1:52. What time will it show 142 minutes later? (a) 5:14 (b) 4:14 (c) 4:24 (d) 4:04
38. 38.Yash, Manav and Omkar each play a different game: football, cricket or chess. Omkar does not play chess. Yash does not play cricket. Manav does not play football. Omkar does not play cricket. Which game does Yash play? (a) football (b) cricket (c) chess
39. 39.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have exactly one painted face?
40. 40.Which number is the odd one out: 41, 23, 43, 24? (a) 41 (b) 23 (c) 43 (d) 24

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