Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 55 · 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.Neel is taller than Meera. Neel is shorter than Tara. Who is the second shortest? (a) Neel (b) Meera (c) Tara
2. 2.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   ? | 5 | 6
   3 | 7 | 11
   8 | 9 | 4
3. 3.The sum of three consecutive numbers is 51. What is the largest of them?
4. 4.Zoya is younger than Omkar. Siddharth is younger than Zoya. Siddharth is older than Aisha. Who is the second youngest? (a) Siddharth (b) Zoya (c) Aisha (d) Omkar
5. 5.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: 68 31 91 32 33 90. After step 2, what is the 2nd number from the left?
6. 6.In a group of 25 children, 12 like mangoes, 11 like bananas and 3 like both. How many like only mangoes?
7. 7.Neel is older than Vivaan. Neel is younger than Manav. Who is the second oldest? (a) Vivaan (b) Neel (c) Manav
8. 8.Rule: If Aditya wins the match, then Aditya gets a medal. Fact: Aditya wins the match. What can you say about “Aditya gets a medal”? (a) must be true (b) must be false (c) can't tell
9. 9.Find the missing number. The same rule works in every row or in every column.
   ? | 1 | 6
   5 | 2 | 7
   5 | 1 | 6
10. 10.Statements: All boxes are bells. All shoes are boxes. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
11. 11.Statements: Some cups are bags. Some bags are toys. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
12. 12.In a group of 33 children, 17 play cricket, 8 play football and 5 play both. How many play only football?
13. 13.Kavya walks 17 m North, then turns around and walks 11 m. How far is she from the starting point now (in m)?
14. 14.In a group of 48 children, 27 sing Hindi songs, 19 sing English songs and 12 sing both. How many sing only Hindi songs?
15. 15.In a group of 37 children, 19 sing Hindi songs, 8 sing English songs and 3 sing both. How many sing only Hindi songs?
16. 16.I am a 2-digit number. My digits add up to 9. If you swap my two digits, the new number is 9 more than me. What number am I?
17. 17.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    27 | 30 | 15
    12 | ? | 36
    33 | 18 | 21
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 7 ÷ 5 × 20?
19. 19.Each person always tells the truth or always lies. Kabir says: “Zoya tells the truth.” Zoya says: “Kabir and I are different kinds.” Is Zoya a truth-teller or a liar? (a) truth-teller (b) liar
20. 20.A number machine multiplies a number by 2 and then adds 5. Each output goes back in as the next input. Start with 4. What comes out after step 2?
21. 21.Riya, Ira and Tara each have a different pet: cat, tortoise or parrot. Tara does not have the tortoise. Riya does not have the parrot. Ira does not have the cat. Tara does not have the cat. Who has the tortoise? (a) Riya (b) Ira (c) Tara
22. 22.Statements: All books are balls. No coins are balls. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
23. 23.Aisha walks 7 m West, then turns right and walks 10 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
24. 24.If FISH is written as HSIF, how is COLD written in the same code? (a) DLOC (b) EMPD (c) CKNB (d) DPME
25. 25.Statements: All pens are kites. All bags are kites. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
26. 26.In a group of 36 children, 16 sing Hindi songs, 17 sing English songs and 10 sing both. How many sing only English songs?
27. 27.Rule: If Rahul wins the match, then Rahul gets a medal. Fact: Rahul wins the match. What can you say about “Rahul does not get a medal”? (a) must be true (b) must be false (c) can't tell
28. 28.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) X (b) Z (c) L (d) U
29. 29.In a group of 31 grown-ups, 24 drink tea, 13 drink coffee and 8 drink both. How many drink only coffee?
30. 30.Each person always tells the truth or always lies. Arjun says: “Saanvi and I are different kinds.” Saanvi says: “Arjun and I are different kinds.” Is Arjun a truth-teller or a liar? (a) truth-teller (b) liar
31. 31.Which number is the odd one out: 5, 11, 25, 37? (a) 5 (b) 11 (c) 25 (d) 37
32. 32.Each person always tells the truth or always lies. Myra says: “Ishaan and I both tell the truth.” Ishaan says: “Myra is a liar.” Is Myra a truth-teller or a liar? (a) truth-teller (b) liar
33. 33.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: 16 15 32 67 23 69. After step 2, what is the 1st number from the left?
34. 34.Three friends (Aarav, Dev and Rohan) sit in a row. Left and right are as you look at them. Aarav sits just to the right of Dev. Rohan sits at the left end. Who sits just to the right of Rohan? (a) Aarav (b) Rohan (c) Dev
35. 35.Priya is younger than Meera. Myra is younger than Priya. Rohan is older than Meera. Who is the youngest? (a) Myra (b) Priya (c) Meera (d) Rohan
36. 36.A clock shows 4:17. What time does it show in a mirror? (a) 6:43 (b) 8:17 (c) 7:43 (d) 8:43
37. 37.A clock shows 10:41. What time does it show in a mirror? (a) 2:41 (b) 12:19 (c) 1:19 (d) 2:19
38. 38.Isha, Kavya and Nisha each have a bag of a different colour: red, yellow or green. Kavya’s bag is not red. Kavya’s bag is not green. Nisha’s bag is not red. Whose bag is green? (a) Isha (b) Kavya (c) Nisha
39. 39.Which capital letter does NOT look the same in a mirror? (a) L (b) Y (c) A (d) I
40. 40.Diya is a girl. How is Diya’s mother’s mother related to Diya? (a) sister (b) aunt (c) grandmother (d) mother

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