Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 869 · 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 + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 4 + 2 ÷ 6?
2. 2.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: 47 42 69 79 51 35. After step 3, what is the 6th number from the left?
3. 3.Statements: All rings are boxes. All boxes are books. Conclusion: All books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
4. 4.In a group of 33 children, 21 enjoy drawing, 21 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
5. 5.A wooden cube is painted on all six faces, then each edge is cut into 4 equal parts, making small cubes. How many small cubes have no painted face?
6. 6.Which capital letter looks exactly the same in a mirror? (a) R (b) K (c) P (d) W
7. 7.I am a 2-digit number. My digits add up to 4 and my tens digit is 4 more than my ones digit. What number am I?
8. 8.Five friends (Diya, Karan, Kavya, Vivaan and Zoya) sit in a row. Left and right are as you look at them. Karan does not sit at either end. Vivaan sits somewhere to the left of Karan. Vivaan sits somewhere to the left of Kavya. Vivaan sits next to both Zoya and Diya. Diya sits just to the right of Vivaan. Who sits at the left end? (a) Diya (b) Zoya (c) Karan (d) Vivaan
9. 9.Four friends (Diya, Isha, Kavya and Manav) sit in a row. Left and right are as you look at them. Kavya sits somewhere to the left of Diya. Isha sits just to the right of Manav. Isha does not sit at either end. Manav sits next to both Kavya and Isha. Who sits at the left end? (a) Manav (b) Kavya (c) Isha (d) Diya
10. 10.Riya is a girl. How is Riya’s brother’s daughter related to Riya? (a) daughter (b) sister (c) niece (d) cousin
11. 11.Neel walks 21 m North, turns right and walks 12 m, then turns right again and walks 5 m. How far is he from the starting point now, in a straight line (in m)?
12. 12.Find the missing number. The same rule works in every row or in every column.
    2 | 4 | 8
    7 | 5 | 35
    ? | 2 | 14
13. 13.Statements: No rings are kites. No rings are caps. Conclusion: No caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
14. 14.Omkar is heavier than Kabir. Omkar is lighter than Rohan. Diya is lighter than Kabir. Who is the heaviest? (a) Kabir (b) Omkar (c) Diya (d) Rohan
15. 15.Kabir runs slower than Diya. Siddharth runs slower than Kabir. Priya runs faster than Diya. Who runs the second slowest? (a) Priya (b) Kabir (c) Diya (d) Siddharth
16. 16.Ananya walks 22 m South, then turns around and walks 12 m. How far is she from the starting point now (in m)?
17. 17.Ishaan is older than Meera. Aditya is older than Ishaan. Who is the second oldest? (a) Aditya (b) Ishaan (c) Meera
18. 18.If KITE is written as ETIK, how is SUN written in the same code? (a) TVO (b) OVT (c) MTR (d) NUS
19. 19.Three friends (Aditya, Dev and Diya) sit in a row. Left and right are as you look at them. Aditya sits next to both Dev and Diya. Diya sits just to the right of Aditya. Who sits just to the left of Aditya? (a) Aditya (b) Diya (c) Dev
20. 20.If RAIN is written as NIAR, how is LAMP written in the same code? (a) QNBM (b) OLZK (c) MBNQ (d) PMAL
21. 21.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 16 ÷ 16 × 17?
23. 23.Each person always tells the truth or always lies. Nisha says: “Tara and I both tell the truth.” Tara says: “Nisha and I are the same kind.” Is Nisha a truth-teller or a liar? (a) truth-teller (b) liar
24. 24.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 9. What comes out after step 2?
25. 25.Dev runs faster than Kabir. Zoya runs slower than Kabir. Zoya runs faster than Ira. Who runs the slowest? (a) Kabir (b) Zoya (c) Ira (d) Dev
26. 26.Rule: If Zoya scores above 90, then Zoya gets a gold star. Fact: Zoya does not get a gold star. What can you say about “Zoya does not score above 90”? (a) must be true (b) must be false (c) can't tell
27. 27.A number machine multiplies a number by 2 and then adds 5. Each output goes back in as the next input. Start with 3. What comes out after step 2?
28. 28.Which number is the odd one out: 37, 59, 83, 70? (a) 37 (b) 59 (c) 83 (d) 70
29. 29.A clock shows 9:04. What time will it show 120 minutes later? (a) 12:04 (b) 11:14 (c) 10:54 (d) 11:04
30. 30.Each person always tells the truth or always lies. Rahul says: “Karan tells the truth.” Karan says: “Rahul and I are the same kind.” Is Karan a truth-teller or a liar? (a) truth-teller (b) liar
31. 31.Find the missing number. The same rule works in every row or in every column.
    18 | 3 | 5
    ? | 2 | 18
    37 | 5 | 23
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 4 ÷ 20 + 18?
33. 33.Aditya, Meera and Sneha each have a bag of a different colour: red, green or white. Sneha’s bag is not red. Aditya’s bag is not green. Meera’s bag is not red. Meera’s bag is not white. Whose bag is green? (a) Aditya (b) Meera (c) Sneha
34. 34.If NEST is written as QHVW, how is COLD written in the same code? (a) ZLIA (b) EQNF (c) GSPH (d) FROG
35. 35.How many degrees does the hour hand of a clock turn in 144 minutes? =
36. 36.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 2 × 4 ÷ 15?
38. 38.Which number is the odd one out: 2, 83, 4, 37? (a) 2 (b) 83 (c) 4 (d) 37
39. 39.Three friends (Aarav, Ira and Priya) sit in a row. Left and right are as you look at them. Aarav does not sit at either end. Aarav sits just to the right of Ira. Who sits at the left end? (a) Priya (b) Aarav (c) Ira
40. 40.Which number is the odd one out: 67, 10, 37, 13? (a) 67 (b) 10 (c) 37 (d) 13

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