Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 173 · 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.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
2. 2.Which capital letter looks exactly the same in a mirror? (a) Q (b) G (c) H (d) D
3. 3.If NEST is written as TSEN, how is STAR written in the same code? (a) QZSR (b) SBUT (c) RATS (d) TUBS
4. 4.Statements: Some caps are boxes. Some bags are boxes. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
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: 70 30 48 41 67 86. After step 4, what is the 6th number from the left?
6. 6.Three friends (Aisha, Ananya and Ira) sit in a row. Left and right are as you look at them. Aisha sits at the right end. Ira does not sit at either end. Who sits at the left end? (a) Aisha (b) Ira (c) Ananya
7. 7.If JUMP is written as HSKN, how is MOON written in the same code? (a) OQQP (b) KMML (c) LNNM (d) JLLK
8. 8.Tara is a girl. How is Tara’s mother’s father related to Tara? (a) grandfather (b) uncle (c) grandson (d) father
9. 9.Statements: All caps are keys. Some caps are kites. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
10. 10.If STAR is written as HGZI, how is CAT written in the same code? (a) DBU (b) WYF (c) XZG (d) YAH
11. 11.Each person always tells the truth or always lies. Yash says: “Aarav tells the truth.” Aarav says: “Ananya and I are the same kind.” Ananya says: “Aarav and I both tell the truth.” Is Ananya a truth-teller or a liar? (a) truth-teller (b) liar
12. 12.Find the missing number. The same rule works in every row or in every column.
    ? | 9 | 12
    14 | 13 | 1
    25 | 22 | 13
13. 13.Each person always tells the truth or always lies. Riya says: “Karan is a liar.” Karan says: “Riya and I both tell the truth.” Is Karan a truth-teller or a liar? (a) truth-teller (b) liar
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 2 + 11 × 5?
15. 15.Rule: If Kabir finishes the homework, then Kabir goes to the park. Fact: Kabir goes to the park. What can you say about “Kabir does not finish the homework”? (a) must be true (b) must be false (c) can't tell
16. 16.Rule: If the shop is open, then Farhan buys milk. Fact: The shop is open. What can you say about “Farhan buys milk”? (a) must be true (b) must be false (c) can't tell
17. 17.Four friends (Manav, Pooja, Rohan and Sneha) sit in a row. Left and right are as you look at them. Sneha does not sit at either end. Rohan sits just to the right of Manav. Rohan sits at the right end. Who sits at the left end? (a) Sneha (b) Manav (c) Pooja (d) Rohan
18. 18.Ira is facing West. She turns left, then turns right. Which direction is she facing now? (a) North (b) East (c) South (d) West
19. 19.If CAT is written as UBD, how is GOLD written in the same code? (a) DLOG (b) CKNF (c) HPME (d) EMPH
20. 20.Find the missing number. The same rule works in every row or in every column.
    3 | 6 | 18
    2 | 4 | 8
    7 | ? | 28
21. 21.If KITE is written as ETIK, how is HAND written in the same code? (a) EOBI (b) IBOE (c) CMZG (d) DNAH
22. 22.Kavya walks 8 km East, then turns right and walks 6 km. How far is she from the starting point now, in a straight line (in km)?
23. 23.Dev is shorter than Ishaan. Ishaan is shorter than Omkar. Who is the second shortest? (a) Ishaan (b) Dev (c) Omkar
24. 24.Myra is taller than Meera. Sneha is taller than Omkar. Sneha is shorter than Meera. Who is the tallest? (a) Sneha (b) Myra (c) Meera (d) Omkar
25. 25.If RAIN is written as TCKP, how is JUMP written in the same code? (a) KVNQ (b) HSKN (c) LWOR (d) MXPS
26. 26.Which number is the odd one out: 8, 24, 64, 36? (a) 8 (b) 24 (c) 64 (d) 36
27. 27.A number machine multiplies a number by 3 and then adds 2. Each output goes back in as the next input. Start with 9. What comes out after step 2?
28. 28.If LAMP is written as JYKN, how is BALL written in the same code? (a) AZKK (b) YXII (c) ZYJJ (d) DCNN
29. 29.Trees planted in a week: Ira 35, Farhan 36, Meera 5, Isha 13, Nisha 23. How many children have more than 20 trees?
30. 30.Four friends (Kavya, Manav, Vivaan and Zoya) sit in a row. Left and right are as you look at them. Kavya sits just to the right of Zoya. Vivaan sits somewhere to the left of Kavya. Zoya sits just to the right of Vivaan. Kavya sits next to both Zoya and Manav. Who sits at the left end? (a) Manav (b) Kavya (c) Zoya (d) Vivaan
31. 31.Steps climbed in a minute: Riya 77, Manav 90, Saanvi 74, Kabir 34, Rohan 73. Who has the most steps? (a) Riya (b) Manav (c) Saanvi (d) Rohan
32. 32.A clock shows 2:58. What time will it show 55 minutes later? (a) 4:03 (b) 4:53 (c) 3:53 (d) 3:43
33. 33.A clock shows 2:38. What time does it show in a mirror? (a) 8:22 (b) 10:38 (c) 9:22 (d) 10:22
34. 34.Myra is a girl. How is Myra’s son’s wife related to Myra? (a) niece (b) daughter (c) daughter-in-law (d) sister-in-law
35. 35.Yash walks 28 m East, turns left and walks 7 m, then turns left again and walks 4 m. How far is he from the starting point now, in a straight line (in m)?
36. 36.In a group of 42 children, 20 enjoy drawing, 11 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
37. 37.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
38. 38.What is the smaller angle between the hour hand and the minute hand at 11:25? (in degrees) =
39. 39.Pooja walks 12 m East, turns right and walks 4 m, then turns right again and walks 9 m. How far is she from the starting point now, in a straight line (in m)?
40. 40.In a group of 29 children, 8 play cricket, 24 play football and 4 play both. How many play only cricket?

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