Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 845 · 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.Find the missing number. The same rule works in every row or in every column.
   12 | 16 | 15
   15 | 14 | 5
   27 | 30 | ?
2. 2.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) B (b) J (c) Q (d) M
3. 3.In a group of 50 children, 18 enjoy drawing, 27 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
4. 4.Statements: No boxes are pens. All coins are boxes. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
5. 5.Saanvi is younger than Kabir. Ananya is older than Kabir. Who is the second oldest? (a) Kabir (b) Saanvi (c) Ananya
6. 6.Three friends (Aarav, Aisha and Meera) sit in a row. Left and right are as you look at them. Aarav sits next to both Aisha and Meera. Meera sits at the right end. Who sits just to the left of Meera? (a) Aarav (b) Aisha (c) Meera
7. 7.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
8. 8.Siddharth, Ira and Farhan each have a different pet: dog, parrot or cat. Ira does not have the dog. Farhan does not have the parrot. Farhan does not have the cat. Ira does not have the cat. Which pet does Farhan have? (a) dog (b) parrot (c) cat
9. 9.If TOYS is written as SNXR, how is PEN written in the same code? (a) QFO (b) PEN (c) ODM (d) NCL
10. 10.I am a 2-digit number. My digits add up to 5 and my tens digit is 1 more than my ones digit. What number am I?
11. 11.If BOAT is written as YLZG, how is GOLD written in the same code? (a) HPME (b) UMPX (c) TLOW (d) SKNV
12. 12.Sneha runs slower than Vivaan. Vivaan runs slower than Meera. Who runs the slowest? (a) Meera (b) Vivaan (c) Sneha
13. 13.Ananya walks 17 m East, then turns around and walks 11 m. How far is she from the starting point now (in m)?
14. 14.Find the missing number. The same rule works in every row or in every column.
    ? | 7 | 1
    22 | 5 | 3
    6 | 22 | 2
15. 15.Statements: All rings are coins. All coins are shoes. Conclusion: All rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
16. 16.1 January 2030 is a Tuesday. What day of the week is 16 April 2030? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
17. 17.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 41 28 18 37 99. After step 2, what is the 4th number from the left?
18. 18.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
19. 19.The sum of three consecutive even numbers is 150. What is the smallest of them?
20. 20.I am a 2-digit number. My digits add up to 6. If you swap my two digits, the new number is 18 more than me. What number am I?
21. 21.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    31 | 10 | 25
    16 | 22 | 28
    19 | 34 | ?
22. 22.Which capital letter does NOT look the same in a mirror? (a) W (b) X (c) F (d) I
23. 23.Statements: No kites are cups. Some kites are bags. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
24. 24.Zoya, Dev and Vivaan each have a bag of a different colour: blue, green or yellow. Dev’s bag is not yellow. Vivaan’s bag is not blue. Zoya’s bag is not green. Vivaan’s bag is not green. Whose bag is blue? (a) Zoya (b) Dev (c) Vivaan
25. 25.Trees planted in a week: Farhan 25, Myra 38, Ira 13, Diya 32, Yash 39. What is the difference between the highest and the lowest?
26. 26.Books read in the summer holidays: Dev 16, Myra 21, Rohan 25, Kabir 3, Saanvi 14. How many more books does Rohan have than Kabir?
27. 27.Rule: If it rains, then the road gets wet. Fact: The road does not get wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
28. 28.Statements: No coins are books. All bells are coins. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
29. 29.12 April is a Friday. What day of the week is 12 May of the same year? (a) Sunday (b) Saturday (c) Monday (d) Tuesday
30. 30.Four friends (Arjun, Meera, Tara and Vivaan) sit in a row. Left and right are as you look at them. Meera sits somewhere to the left of Tara. Arjun sits just to the right of Meera. Meera sits just to the right of Vivaan. Who sits at the left end? (a) Arjun (b) Vivaan (c) Tara (d) Meera
31. 31.Arjun is a boy. How is Arjun’s father’s sister related to Arjun? (a) mother (b) aunt (c) sister (d) cousin
32. 32.Isha is taller than Farhan. Farhan is taller than Manav. Manav is taller than Tara. Who is the second shortest? (a) Farhan (b) Tara (c) Manav (d) Isha
33. 33.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
34. 34.Vivaan runs faster than Pooja. Aditya runs faster than Vivaan. Who runs the second fastest? (a) Vivaan (b) Aditya (c) Pooja
35. 35.Aisha, Zoya and Riya each have a different pet: tortoise, parrot or cat. Riya does not have the parrot. Aisha does not have the tortoise. Aisha does not have the cat. Riya does not have the tortoise. Which pet does Riya have? (a) tortoise (b) parrot (c) cat
36. 36.Each person always tells the truth or always lies. Omkar says: “Ananya tells the truth.” Ananya says: “Omkar and I are the same kind.” Is Omkar a truth-teller or a liar? (a) truth-teller (b) liar
37. 37.Which number is the odd one out: 80, 40, 13, 8? (a) 80 (b) 40 (c) 13 (d) 8
38. 38.Riya is a girl. How is Riya’s father’s father’s only son’s son related to Riya? (a) uncle (b) father (c) brother (d) cousin
39. 39.A clock shows 11:18. What time will it show 54 minutes later? (a) 12:12 (b) 12:02 (c) 1:12 (d) 12:22
40. 40.Books read in the summer holidays: Sneha 23, Rahul 4, Omkar 5, Tara 19, Isha 17. What is the total for all five children?

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