Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 135 · 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.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 11 ÷ 12 − 4?
2. 2.If BOOK is written as ERRN, how is TOYS written in the same code? (a) WRBV (b) XSCW (c) VQAU (d) QLVP
3. 3.If JUMP is written as HSKN, how is CAKE written in the same code? (a) ZXHB (b) AYIC (c) ECMG (d) BZJD
4. 4.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   5 | ? | 9
   15 | 11 | 7
   13 | 3 | 17
5. 5.Steps climbed in a minute: Omkar 59, Rahul 66, Pooja 87, Myra 27, Priya 72. Who has the most steps? (a) Omkar (b) Myra (c) Pooja (d) Rahul
6. 6.Each person always tells the truth or always lies. Aarav says: “Riya is a liar.” Riya says: “At least one of us two, Aarav or I, is a liar.” Is Aarav a truth-teller or a liar? (a) truth-teller (b) liar
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 4 + 16 ÷ 6?
8. 8.Statements: All caps are pens. All caps are books. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
9. 9.Is 2049 a leap year? (a) Yes (b) No
10. 10.Which capital letter looks exactly the same in a mirror? (a) Y (b) R (c) G (d) C
11. 11.Runs scored in a cricket match: Rohan 20, Vivaan 53, Neel 28, Manav 12, Ananya 13. Who has the fewest runs? (a) Ananya (b) Manav (c) Neel (d) Rohan
12. 12.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
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: 66 21 68 51 48 18. After step 3, what is the 6th number from the left?
14. 14.Runs scored in a cricket match: Vivaan 13, Ira 43, Nisha 15, Riya 9, Aditya 47. Who has the most runs? (a) Aditya (b) Nisha (c) Vivaan (d) Riya
15. 15.A number machine multiplies a number by 3 and then takes away 4. Each output goes back in as the next input. Start with 7. What comes out after step 2?
16. 16.In a group of 46 grown-ups, 31 drink tea, 15 drink coffee and 11 drink both. How many drink at least one of the two?
17. 17.20 January is a Friday. What day of the week is 20 February of the same year? (a) Monday (b) Sunday (c) Wednesday (d) Tuesday
18. 18.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) P (b) M (c) G (d) K
19. 19.Which number is the odd one out: 97, 37, 5, 95? (a) 97 (b) 37 (c) 5 (d) 95
20. 20.In a group of 31 children, 15 enjoy drawing, 16 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
21. 21.Is 2050 a leap year? (a) Yes (b) No
22. 22.How many degrees does the minute hand of a clock turn in 10 minutes? =
23. 23.Which number is the odd one out: 41, 37, 50, 19? (a) 41 (b) 37 (c) 50 (d) 19
24. 24.If PEN is written as SHQ, how is CAT written in the same code? (a) ZXQ (b) FDW (c) GEX (d) ECV
25. 25.Diya walks 3 m West, then turns left and walks 4 m. How far is she from the starting point now, in a straight line (in m)?
26. 26.Is 2014 a leap year? (a) Yes (b) No
27. 27.Four friends (Farhan, Ishaan, Rahul and Siddharth) sit in a row. Left and right are as you look at them. Farhan sits next to both Siddharth and Ishaan. Ishaan does not sit at either end. Siddharth sits somewhere to the left of Rahul. Who sits at the left end? (a) Farhan (b) Ishaan (c) Siddharth (d) Rahul
28. 28.Which capital letter looks exactly the same in a mirror? (a) A (b) Q (c) J (d) K
29. 29.I am a 2-digit number. My digits add up to 8. If you swap my two digits, the new number is 54 more than me. What number am I?
30. 30.Zoya is lighter than Omkar. Pooja is heavier than Omkar. Who is the second lightest? (a) Omkar (b) Pooja (c) Zoya
31. 31.Kavya, Ishaan and Dev each have a different pet: dog, cat or tortoise. Kavya does not have the cat. Dev does not have the tortoise. Ishaan does not have the dog. Kavya does not have the tortoise. Which pet does Ishaan have? (a) dog (b) cat (c) tortoise
32. 32.Today is Monday. What day of the week will it be 74 days from today? (a) Sunday (b) Friday (c) Thursday (d) Saturday
33. 33.Trees planted in a week: Manav 25, Sneha 13, Riya 38, Farhan 17, Saanvi 9. How many more trees does Manav have than Farhan?
34. 34.Find the missing number. The same rule works in every row or in every column.
    2 | 6 | 12
    ? | 2 | 4
    7 | 2 | 14
35. 35.A clock shows 12:57. What time will it show 22 minutes later? (a) 2:19 (b) 1:19 (c) 1:09 (d) 1:29
36. 36.If LION is written as MNHK, how is COLD written in the same code? (a) CKNB (b) EMPD (c) DLOC (d) BNKC
37. 37.Books read in the summer holidays: Dev 27, Zoya 3, Meera 5, Siddharth 28, Aditya 30. What is the difference between the highest and the lowest?
38. 38.In a group of 32 children, 14 play chess, 20 play carrom and 8 play both. How many play only carrom?
39. 39.Which number is the odd one out: 17, 29, 60, 31? (a) 17 (b) 29 (c) 60 (d) 31
40. 40.Each person always tells the truth or always lies. Zoya says: “Isha and I are the same kind.” Isha says: “At least one of us two, Zoya or I, is a liar.” Is Zoya a truth-teller or a liar? (a) truth-teller (b) liar

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