Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 813 · 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 30 children, 16 sing Hindi songs, 11 sing English songs and 8 sing both. How many sing only Hindi songs?
2. 2.Rule: If Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya does not go to the park. What can you say about “Zoya finishes the homework”? (a) must be true (b) must be false (c) can't tell
3. 3.In a group of 33 grown-ups, 17 drink tea, 10 drink coffee and 6 drink both. How many drink exactly one of the two?
4. 4.Two standard dice show 4 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
5. 5.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
6. 6.Two standard dice show 3 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
7. 7.Which capital letter looks exactly the same in a mirror? (a) Q (b) R (c) T (d) F
8. 8.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
9. 9.Diya is a girl. How is Diya’s father’s father’s only son related to Diya? (a) brother (b) grandfather (c) uncle (d) father
10. 10.If TREE is written as EERT, how is KITE written in the same code? (a) LJUF (b) ETIK (c) FUJL (d) DSHJ
11. 11.In a group of 40 grown-ups, 24 drink tea, 23 drink coffee and 11 drink both. How many drink only tea?
12. 12.If PARK is written as KZIP, how is FROG written in the same code? (a) THKS (b) UILT (c) VJMU (d) GSPH
13. 13.Trees planted in a week: Ananya 19, Omkar 22, Aditya 4, Kabir 35, Tara 17. How many more trees does Kabir have than Ananya?
14. 14.Ananya walks 6 m North, then turns right and walks 4 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
15. 15.A clock shows 2:49. What time will it show 20 minutes later? (a) 4:09 (b) 3:19 (c) 2:59 (d) 3:09
16. 16.Myra is facing North. She turns left, then turns around (a half turn). Which direction is she facing now? (a) North (b) East (c) South (d) West
17. 17.Find the missing number. The same rule works in every row or in every column.
    11 | ? | 1
    10 | 2 | 1
    3 | 2 | 8
18. 18.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    4 | 11 | ?
    9 | 7 | 5
    8 | 3 | 10
19. 19.Marks in a maths test (out of 50): Aisha 29, Neel 34, Meera 22, Diya 32, Farhan 49. How many more marks does Diya have than Aisha?
20. 20.Five friends (Aarav, Aisha, Neel, Pooja and Zoya) sit in a row. Left and right are as you look at them. Neel sits at the right end. Aarav sits next to both Aisha and Zoya. Aisha sits somewhere to the left of Zoya. Pooja sits just to the right of Zoya. Who sits just to the right of Aisha? (a) Aisha (b) Pooja (c) Neel (d) Aarav
21. 21.Find the missing number. The same rule works in every row or in every column.
    1 | 12 | 5
    11 | 6 | 1
    ? | 3 | 11
22. 22.Rule: If Arjun scores above 90, then Arjun gets a gold star. Fact: Arjun does not score above 90. What can you say about “Arjun gets a gold star”? (a) must be true (b) must be false (c) can't tell
23. 23.Meera is a girl. How is Meera’s mother’s brother’s son related to Meera? (a) brother (b) cousin (c) nephew (d) uncle
24. 24.Runs scored in a cricket match: Diya 50, Vivaan 31, Yash 27, Neel 47, Manav 26. Who has the fewest runs? (a) Manav (b) Vivaan (c) Diya (d) Neel
25. 25.Each person always tells the truth or always lies. Nisha says: “Manav is a liar.” Ishaan says: “Manav is a liar.” Manav says: “Ishaan and I both tell the truth.” Is Nisha a truth-teller or a liar? (a) truth-teller (b) liar
26. 26.The sum of three consecutive numbers is 57. What is the largest of them?
27. 27.If TOYS is written as SYOT, how is TREE written in the same code? (a) DDQS (b) USFF (c) FFSU (d) EERT
28. 28.Zoya is a girl. How is Zoya’s father’s father’s only son’s son related to Zoya? (a) cousin (b) brother (c) father (d) uncle
29. 29.Rule: If the shop is open, then Aarav buys milk. Fact: Aarav buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 14 ÷ 4 − 8?
31. 31.Find the missing number. The same rule works in every row or in every column.
    ? | 9 | 13
    6 | 16 | 22
    2 | 15 | 17
32. 32.If COLD is written as XLOW, how is PEN written in the same code? (a) JUL (b) KVM (c) LWN (d) QFO
33. 33.Each person always tells the truth or always lies. Aditya says: “At least one of us two, Karan or I, is a liar.” Karan says: “Aditya is a liar.” Is Karan a truth-teller or a liar? (a) truth-teller (b) liar
34. 34.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    15 | 16 | 11
    ? | 14 | 18
    17 | 12 | 13
35. 35.Aditya walks 24 m North, then turns around and walks 22 m. How far is he from the starting point now (in m)?
36. 36.If SUN is written as UWP, how is TOYS written in the same code? (a) UPZT (b) VQAU (c) RMWQ (d) WRBV
37. 37.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) M (b) B (c) Q (d) W
38. 38.On a standard dice, opposite faces add up to 7. The dice shows 4 on top. What number is on the bottom face?
39. 39.A clock shows 7:52. What time will it show 101 minutes later? (a) 10:33 (b) 9:23 (c) 9:33 (d) 9:43
40. 40.Which number is the odd one out: 81, 72, 96, 48? (a) 81 (b) 72 (c) 96 (d) 48

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