Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 213 · 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 a group of 61 children, 31 sing Hindi songs, 31 sing English songs and 11 sing both. How many sing only English songs?
2. 2.Books read in the summer holidays: Myra 26, Zoya 25, Aditya 6, Ananya 30, Neel 7. What is the difference between the highest and the lowest?
3. 3.Which capital letter looks exactly the same in a mirror? (a) E (b) S (c) V (d) K
4. 4.Vivaan, Priya and Isha each have a bag of a different colour: blue, white or green. Isha’s bag is not blue. Vivaan’s bag is not blue. Vivaan’s bag is not white. Whose bag is green? (a) Vivaan (b) Priya (c) Isha
5. 5.Find the missing number. The same rule works in every row or in every column.
   4 | 20 | 4
   ? | 6 | 20
   8 | 26 | 24
6. 6.What is the smaller angle between the hour hand and the minute hand at 11:49? (in degrees) =
7. 7.Sneha walks 12 km East, then turns left and walks 5 km. How far is she from the starting point now, in a straight line (in km)?
8. 8.Each person always tells the truth or always lies. Pooja says: “Aarav and I are the same kind.” Aarav says: “Pooja tells the truth.” Is Aarav a truth-teller or a liar? (a) truth-teller (b) liar
9. 9.Diya walks 16 km East, then turns left and walks 12 km. How far is she from the starting point now, in a straight line (in km)?
10. 10.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have exactly one painted face?
11. 11.Statements: No keys are coins. Some coins are boxes. Conclusion: Some keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
12. 12.Statements: All boxes are kites. All caps are boxes. Conclusion: No kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
13. 13.Ananya is a girl. How is Ananya’s father’s father’s only son related to Ananya? (a) grandfather (b) brother (c) father (d) uncle
14. 14.Trees planted in a week: Tara 5, Omkar 38, Manav 34, Neel 40, Siddharth 39. What is the difference between the highest and the lowest?
15. 15.Find the missing number. The same rule works in every row or in every column.
    13 | 1 | 1
    13 | 1 | ?
    2 | 9 | 4
16. 16.Four friends (Aarav, Farhan, Ira and Saanvi) sit in a row. Left and right are as you look at them. Farhan sits just to the right of Aarav. Aarav sits next to both Saanvi and Farhan. Ira sits at the left end. Who sits at the right end? (a) Saanvi (b) Aarav (c) Farhan (d) Ira
17. 17.Five friends (Aditya, Rahul, Riya, Siddharth and Zoya) sit in a row. Left and right are as you look at them. Rahul sits somewhere to the left of Zoya. Aditya sits just to the right of Riya. Aditya sits next to both Riya and Zoya. Siddharth sits just to the right of Zoya. Who sits in the middle? (a) Zoya (b) Siddharth (c) Aditya (d) Rahul
18. 18.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    29 | 14 | ?
    8 | 20 | 32
    23 | 26 | 11
19. 19.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    ? | 7 | 12
    9 | 11 | 13
    10 | 15 | 8
20. 20.Statements: No pens are cups. All kites are cups. Conclusion: No pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
21. 21.1 January 2004 is a Thursday. What day of the week is 21 October 2004? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
22. 22.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
23. 23.Find the missing number. The same rule works in every row or in every column.
    16 | 2 | 1
    8 | ? | 9
    13 | 5 | 1
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 3 + 11 ÷ 15?
25. 25.I am a 2-digit number. My digits add up to 9 and my tens digit is 9 more than my ones digit. What number am I?
26. 26.In a group of 48 children, 26 play chess, 25 play carrom and 9 play both. How many play exactly one of the two?
27. 27.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have exactly two painted faces?
28. 28.How many degrees does the minute hand of a clock turn in 2 minutes? =
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 2 ÷ 6 × 10?
30. 30.6 September is a Wednesday. What day of the week is 6 October of the same year? (a) Saturday (b) Friday (c) Thursday (d) Sunday
31. 31.A wooden cube is painted on all six faces, then each edge is cut into 5 equal parts, making small cubes. How many small cubes have at least one painted face?
32. 32.Nisha runs faster than Diya. Ishaan runs slower than Diya. Nisha runs slower than Aditya. Who runs the second slowest? (a) Nisha (b) Ishaan (c) Diya (d) Aditya
33. 33.Today is Friday. What day of the week will it be 55 days from today? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
34. 34.Each person always tells the truth or always lies. Tara says: “Ira and I are the same kind.” Ira says: “At least one of us two, Tara or I, is a liar.” Is Tara a truth-teller or a liar? (a) truth-teller (b) liar
35. 35.1 January 2019 is a Tuesday. What day of the week is 22 March 2019? (a) Thursday (b) Friday (c) Sunday (d) Saturday
36. 36.Statements: No pens are shoes. All balls are pens. Conclusion: No balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
37. 37.Find the missing number. The same rule works in every row or in every column.
    2 | 20 | 1
    4 | 5 | 19
    6 | 25 | ?
38. 38.Which number is the odd one out: 81, 27, 10, 9? (a) 81 (b) 27 (c) 10 (d) 9
39. 39.Ira is shorter than Ishaan. Karan is taller than Ishaan. Kavya is taller than Karan. Who is the second shortest? (a) Ira (b) Kavya (c) Ishaan (d) Karan
40. 40.Ira, Omkar and Yash each have a different pet: cat, tortoise or parrot. Ira does not have the cat. Yash does not have the parrot. Omkar does not have the tortoise. Ira does not have the tortoise. Which pet does Ira have? (a) cat (b) tortoise (c) parrot

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