Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 726 · 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 this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   33 | 12 | 27
   18 | 24 | 30
   ? | 36 | 15
2. 2.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 6. What comes out after step 3?
3. 3.Farhan, Manav and Arjun each have a bag of a different colour: yellow, white or blue. Manav’s bag is not white. Arjun’s bag is not blue. Manav’s bag is not yellow. Arjun’s bag is not yellow. What colour is Arjun’s bag? (a) yellow (b) white (c) blue
4. 4.Today is Sunday. What day of the week will it be 68 days from today? (a) Saturday (b) Friday (c) Thursday (d) Sunday
5. 5.Is 2017 a leap year? (a) Yes (b) No
6. 6.Runs scored in a cricket match: Yash 46, Neel 5, Vivaan 27, Ishaan 24, Arjun 7. Who has the fewest runs? (a) Ishaan (b) Vivaan (c) Neel (d) Arjun
7. 7.How many degrees does the hour hand of a clock turn in 77 minutes? =
8. 8.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: 62 42 15 51 10 22. After step 4, what is the 1st number from the left?
9. 9.Today is Sunday. What day of the week will it be 88 days from today? (a) Saturday (b) Friday (c) Thursday (d) Wednesday
10. 10.Which number is the odd one out: 51, 31, 67, 61? (a) 51 (b) 31 (c) 67 (d) 61
11. 11.If BALL is written as ZYJJ, how is FISH written in the same code? (a) EHRG (b) HKUJ (c) CFPE (d) DGQF
12. 12.Four friends (Aditya, Kavya, Myra and Vivaan) sit in a row. Left and right are as you look at them. Vivaan sits next to both Kavya and Myra. Aditya sits somewhere to the left of Vivaan. Kavya sits next to both Aditya and Vivaan. Who sits just to the right of Kavya? (a) Vivaan (b) Aditya (c) Myra (d) Kavya
13. 13.Five friends (Diya, Kabir, Rohan, Sneha and Tara) sit in a row. Left and right are as you look at them. Tara sits at the right end. Rohan sits somewhere to the left of Kabir. Sneha sits somewhere to the left of Kabir. Rohan sits just to the right of Sneha. Sneha sits somewhere to the left of Diya. Diya sits next to both Rohan and Kabir. Who sits in the middle? (a) Diya (b) Rohan (c) Sneha (d) Tara
14. 14.Five friends (Dev, Manav, Myra, Tara and Vivaan) sit in a row. Left and right are as you look at them. Manav sits just to the right of Vivaan. Vivaan sits just to the right of Dev. Myra sits somewhere to the left of Manav. Manav sits next to both Vivaan and Tara. Who sits in the middle? (a) Manav (b) Vivaan (c) Myra (d) Tara
15. 15.Aditya, Isha and Manav each play a different game: football, cricket or carrom. Manav does not play cricket. Isha does not play football. Isha does not play cricket. Which game does Aditya play? (a) football (b) cricket (c) carrom
16. 16.Three friends (Kabir, Kavya and Nisha) sit in a row. Left and right are as you look at them. Kabir sits at the right end. Kabir sits just to the right of Kavya. Who sits in the middle? (a) Kabir (b) Kavya (c) Nisha
17. 17.Which number is the odd one out: 43, 53, 61, 40? (a) 43 (b) 53 (c) 61 (d) 40
18. 18.Four friends (Ishaan, Karan, Riya and Siddharth) sit in a row. Left and right are as you look at them. Ishaan sits somewhere to the left of Karan. Riya sits just to the right of Karan. Siddharth sits just to the right of Ishaan. Who sits at the left end? (a) Karan (b) Ishaan (c) Riya (d) Siddharth
19. 19.Four friends (Ananya, Kabir, Karan and Manav) sit in a row. Left and right are as you look at them. Karan does not sit at either end. Manav sits next to both Karan and Ananya. Ananya sits at the right end. Who sits at the left end? (a) Karan (b) Manav (c) Ananya (d) Kabir
20. 20.Books read in the summer holidays: Isha 24, Riya 13, Sneha 6, Aditya 26, Aisha 10. How many more books does Aditya have than Sneha?
21. 21.If GOLD is written as TLOW, how is LION written in the same code? (a) PSMN (b) ORLM (c) MJPO (d) NQKL
22. 22.Rohan is a boy. How is Rohan’s son’s wife related to Rohan? (a) daughter-in-law (b) niece (c) sister-in-law (d) daughter
23. 23.How many degrees does the minute hand of a clock turn in 33 minutes? =
24. 24.Kabir runs faster than Arjun. Yash runs faster than Kabir. Who runs the second fastest? (a) Arjun (b) Yash (c) Kabir
25. 25.Rule: If the bell rings, then the class starts. Fact: The class starts. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
26. 26.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) E (b) N (c) J (d) V
27. 27.Books read in the summer holidays: Ira 5, Neel 30, Aisha 6, Riya 10, Kavya 13. What is the difference between the highest and the lowest?
28. 28.Nisha walks 10 m North, turns left and walks 8 m, then turns left again and walks 4 m. How far is she from the starting point now, in a straight line (in m)?
29. 29.11 October is a Sunday. What day of the week is 11 November of the same year? (a) Friday (b) Wednesday (c) Tuesday (d) Thursday
30. 30.Aditya is facing South. He turns left, then turns right, then turns left. Which direction is he facing now? (a) North (b) East (c) South (d) West
31. 31.Ishaan, Dev and Tara each have a bag of a different colour: yellow, red or green. Dev’s bag is not yellow. Dev’s bag is not green. Tara’s bag is not green. What colour is Tara’s bag? (a) yellow (b) red (c) green
32. 32.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have exactly three painted faces?
33. 33.Pooja walks 4 m North, turns right and walks 4 m, then turns right again and walks 1 m. How far is she from the starting point now, in a straight line (in m)?
34. 34.Which number is the odd one out: 75, 43, 71, 73? (a) 75 (b) 43 (c) 71 (d) 73
35. 35.1 January 2027 is a Friday. What day of the week is 16 May 2027? (a) Sunday (b) Monday (c) Tuesday (d) Saturday
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 20 + 20 × 7?
37. 37.Ishaan, Aditya and Ira each play a different game: chess, badminton or football. Aditya does not play chess. Ira does not play badminton. Aditya does not play football. Ishaan does not play chess. Who plays football? (a) Ishaan (b) Aditya (c) Ira
38. 38.Find the missing number. The same rule works in every row or in every column.
    8 | 8 | 64
    7 | 3 | 21
    3 | ? | 18
39. 39.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 5. What comes out after step 3?
40. 40.Each person always tells the truth or always lies. Kabir says: “Ananya and I are the same kind.” Ananya says: “Siddharth tells the truth.” Siddharth says: “Kabir and I are different kinds.” Is Ananya a truth-teller or a liar? (a) truth-teller (b) liar

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