Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 387 · 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.
   16 | ? | 23
   20 | 2 | 22
   7 | 17 | 24
2. 2.In a group of 42 children, 18 play cricket, 26 play football and 10 play both. How many play at least one of the two?
3. 3.Statements: All rings are shoes. All cups are shoes. Conclusion: All rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
4. 4.If RAIN is written as NIAR, how is DRUM written in the same code? (a) NVSE (b) LTQC (c) ESVN (d) MURD
5. 5.Meera is facing North. She turns left, then turns right, then turns left, then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
6. 6.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
7. 7.Manav is a boy. How is Manav’s father’s only son’s sister related to Manav? (a) cousin (b) aunt (c) mother (d) sister
8. 8.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   14 | 29 | ?
   11 | 17 | 23
   26 | 5 | 20
9. 9.Three friends (Dev, Omkar and Rahul) sit in a row. Left and right are as you look at them. Dev sits just to the right of Omkar. Dev sits next to both Omkar and Rahul. Who sits just to the left of Rahul? (a) Dev (b) Rahul (c) Omkar
10. 10.Find the missing number. The same rule works in every row or in every column.
    15 | 15 | 3
    18 | 6 | 4
    33 | ? | 7
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 16 × 2 ÷ 9?
12. 12.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: 68 71 15 93 40 21. After step 2, what is the 1st number from the left?
13. 13.Steps climbed in a minute: Rohan 83, Dev 35, Karan 64, Myra 27, Ananya 24. Who has the fewest steps? (a) Ananya (b) Karan (c) Rohan (d) Myra
14. 14.Each person always tells the truth or always lies. Aditya says: “Meera and I are the same kind.” Meera says: “Aditya and I are the same kind.” Is Aditya a truth-teller or a liar? (a) truth-teller (b) liar
15. 15.Trees planted in a week: Dev 37, Manav 32, Ananya 26, Karan 11, Siddharth 28. What is the total for all five children?
16. 16.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 9. What comes out after step 3?
17. 17.Each person always tells the truth or always lies. Pooja says: “At least one of us two, Karan or I, is a liar.” Karan says: “Ishaan and I are different kinds.” Ishaan says: “Karan and I both tell the truth.” Is Ishaan a truth-teller or a liar? (a) truth-teller (b) liar
18. 18.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
19. 19.Kabir, Ananya and Riya each have a bag of a different colour: red, green or blue. Kabir’s bag is not blue. Kabir’s bag is not red. Ananya’s bag is not red. What colour is Riya’s bag? (a) red (b) green (c) blue
20. 20.Statements: Some keys are rings. All keys are caps. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
21. 21.Marks in a maths test (out of 50): Diya 19, Zoya 35, Ishaan 23, Ira 25, Tara 28. Who has the most marks? (a) Ira (b) Zoya (c) Ishaan (d) Diya
22. 22.Find the missing number. The same rule works in every row or in every column.
    8 | 17 | 9
    2 | 3 | 7
    10 | ? | 16
23. 23.Three friends (Dev, Isha and Riya) sit in a row. Left and right are as you look at them. Riya sits just to the right of Isha. Dev sits somewhere to the left of Riya. Who sits at the right end? (a) Isha (b) Riya (c) Dev
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 11 + 7 ÷ 16?
25. 25.Is 2200 a leap year? (a) Yes (b) No
26. 26.23 May is a Friday. What day of the week is 23 June of the same year? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
27. 27.Each person always tells the truth or always lies. Ishaan says: “Aarav and I are the same kind.” Aarav says: “Ishaan and I are different kinds.” Is Aarav a truth-teller or a liar? (a) truth-teller (b) liar
28. 28.Statements: All bells are balls. All balls are toys. Conclusion: No bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
29. 29.Which capital letter does NOT look the same in a mirror? (a) V (b) A (c) E (d) O
30. 30.Three friends (Aisha, Ananya and Vivaan) sit in a row. Left and right are as you look at them. Aisha does not sit at either end. Vivaan sits at the right end. Who sits just to the left of Aisha? (a) Aisha (b) Vivaan (c) Ananya
31. 31.In a group of 42 children, 17 play cricket, 16 play football and 5 play both. How many play only cricket?
32. 32.Aditya is a boy. How is Aditya’s father’s sister related to Aditya? (a) sister (b) mother (c) aunt (d) cousin
33. 33.Each person always tells the truth or always lies. Rahul says: “Siddharth and I are different kinds.” Siddharth says: “Rahul and I are different kinds.” Is Siddharth a truth-teller or a liar? (a) truth-teller (b) liar
34. 34.In a group of 36 grown-ups, 14 drink tea, 10 drink coffee and 2 drink both. How many drink exactly one of the two?
35. 35.Each person always tells the truth or always lies. Arjun says: “Aditya and I are the same kind.” Aditya says: “Arjun is a liar.” Is Arjun a truth-teller or a liar? (a) truth-teller (b) liar
36. 36.Which capital letter does NOT look the same in a mirror? (a) H (b) A (c) I (d) S
37. 37.Two standard dice show 6 and 2 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
38. 38.Dev is a boy. How is Dev’s son’s son related to Dev? (a) grandson (b) son (c) brother (d) nephew
39. 39.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) V (b) E (c) A (d) M
40. 40.Sneha, Dev and Arjun each have a different pet: parrot, dog or cat. Dev does not have the dog. Arjun does not have the cat. Sneha does not have the dog. Sneha does not have the cat. Which pet does Dev have? (a) parrot (b) dog (c) cat

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