Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 420 · 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.If MILK is written as LHKJ, how is NEST written in the same code? (a) NEST (b) OFTU (c) LCQR (d) MDRS
2. 2.In a group of 28 children, 16 play cricket, 12 play football and 4 play both. How many play neither of the two?
3. 3.Kabir is a boy. How is Kabir’s sister’s son related to Kabir? (a) son (b) brother (c) cousin (d) nephew
4. 4.If LAMP is written as JYKN, how is MOON written in the same code? (a) JLLK (b) LNNM (c) KMML (d) OQQP
5. 5.Each person always tells the truth or always lies. Yash says: “Manav and I both tell the truth.” Manav says: “Yash is a liar.” Zoya says: “Yash and I both tell the truth.” Is Manav a truth-teller or a liar? (a) truth-teller (b) liar
6. 6.Omkar is a boy. How is Omkar’s daughter’s husband related to Omkar? (a) brother-in-law (b) nephew (c) son-in-law (d) son
7. 7.Arjun walks 8 km North, then turns left and walks 6 km. How far is he from the starting point now, in a straight line (in km)?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 4 + 12 × 11?
9. 9.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
10. 10.Riya is a girl. How is Riya’s father’s sister related to Riya? (a) cousin (b) mother (c) sister (d) aunt
11. 11.Aditya, Rohan and Farhan each play a different game: football, badminton or chess. Farhan does not play badminton. Farhan does not play football. Rohan does not play football. Who plays football? (a) Aditya (b) Rohan (c) Farhan
12. 12.Trees planted in a week: Ishaan 9, Siddharth 27, Vivaan 5, Manav 15, Tara 39. What is the total for all five children?
13. 13.Ananya is facing North. She turns left, then turns left, then turns left, then turns around (a half turn). Which direction is she facing now? (a) North (b) East (c) South (d) West
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 7 − 7 ÷ 10?
15. 15.How many degrees does the minute hand of a clock turn in 25 minutes? =
16. 16.Each person always tells the truth or always lies. Omkar says: “Ishaan and I are different kinds.” Ishaan says: “Omkar and I are the same kind.” Is Ishaan a truth-teller or a liar? (a) truth-teller (b) liar
17. 17.Riya is a girl. How is Riya’s father’s father’s only son related to Riya? (a) father (b) grandfather (c) brother (d) uncle
18. 18.25 April is a Saturday. What day of the week is 25 May of the same year? (a) Sunday (b) Wednesday (c) Monday (d) Tuesday
19. 19.Karan, Vivaan and Saanvi each have a bag of a different colour: red, green or white. Vivaan’s bag is not green. Saanvi’s bag is not red. Vivaan’s bag is not white. Saanvi’s bag is not green. What colour is Saanvi’s bag? (a) red (b) green (c) white
20. 20.Marks in a maths test (out of 50): Rahul 36, Isha 24, Kavya 30, Yash 19, Rohan 27. What is the difference between the highest and the lowest?
21. 21.Three friends (Meera, Pooja and Zoya) sit in a row. Left and right are as you look at them. Pooja does not sit at either end. Zoya sits at the left end. Who sits just to the left of Pooja? (a) Meera (b) Pooja (c) Zoya
22. 22.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
23. 23.Find the missing number. The same rule works in every row or in every column.
    4 | 9 | ?
    1 | 4 | 9
    9 | 2 | 3
24. 24.I am a 2-digit number. My digits add up to 7 and my tens digit is 7 more than my ones digit. What number am I?
25. 25.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: 19 46 97 22 16 26. After step 2, what is the 2nd number from the left?
26. 26.A wooden cube is painted on all six faces, then each edge is cut into 6 equal parts, making small cubes. How many small cubes have no painted face?
27. 27.Five friends (Diya, Ira, Ishaan, Pooja and Rohan) sit in a row. Left and right are as you look at them. Rohan sits somewhere to the left of Ira. Pooja does not sit at either end. Diya sits somewhere to the left of Ira. Rohan sits next to both Diya and Ishaan. Rohan sits just to the right of Diya. Who sits at the right end? (a) Pooja (b) Ira (c) Ishaan (d) Rohan
28. 28.Rohan, Ishaan and Kabir each have a different pet: tortoise, parrot or rabbit. Ishaan does not have the rabbit. Rohan does not have the tortoise. Kabir does not have the parrot. Ishaan does not have the tortoise. Who has the tortoise? (a) Rohan (b) Ishaan (c) Kabir
29. 29.A number machine multiplies a number by 3 and then takes away 3. Each output goes back in as the next input. Start with 3. What comes out after step 2?
30. 30.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) P (b) V (c) E (d) N
31. 31.Each person always tells the truth or always lies. Omkar says: “Arjun and I both tell the truth.” Arjun says: “Omkar and I are the same kind.” Is Omkar a truth-teller or a liar? (a) truth-teller (b) liar
32. 32.A number machine multiplies a number by 3 and then adds 5. Each output goes back in as the next input. Start with 8. What comes out after step 3?
33. 33.Each person always tells the truth or always lies. Omkar says: “Isha and I are different kinds.” Isha says: “Omkar is a liar.” Saanvi says: “Omkar is a liar.” Is Isha a truth-teller or a liar? (a) truth-teller (b) liar
34. 34.Which number is the odd one out: 54, 37, 90, 45? (a) 54 (b) 37 (c) 90 (d) 45
35. 35.A number machine multiplies a number by 3 and then takes away 5. Each output goes back in as the next input. Start with 9. What comes out after step 2?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 8 × 20 + 15?
37. 37.On a standard dice, opposite faces add up to 7. The dice shows 4 on top. What number is on the bottom face?
38. 38.Kabir walks 12 km North, then turns left and walks 5 km. How far is he from the starting point now, in a straight line (in km)?
39. 39.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: 90 70 49 33 64 46. After step 4, what is the 3rd number from the left?
40. 40.Books read in the summer holidays: Manav 21, Aisha 4, Riya 28, Aarav 30, Ira 3. How many more books does Manav have than Aisha?

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