Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 261 · 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 the shop is open, then Isha buys milk. Fact: Isha buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
2. 2.Priya is older than Saanvi. Myra is older than Ananya. Saanvi is older than Myra. Who is the oldest? (a) Myra (b) Saanvi (c) Ananya (d) Priya
3. 3.Ishaan is older than Neel. Neel is older than Zoya. Who is the second youngest? (a) Neel (b) Zoya (c) Ishaan
4. 4.Siddharth, Farhan and Tara each have a different pet: tortoise, parrot or cat. Tara does not have the parrot. Tara does not have the cat. Farhan does not have the cat. Which pet does Siddharth have? (a) tortoise (b) parrot (c) cat
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 17 × 10 ÷ 15?
6. 6.Aarav, Isha and Meera each have a bag of a different colour: green, blue or red. Isha’s bag is not red. Meera’s bag is not blue. Meera’s bag is not green. Aarav’s bag is not green. Whose bag is green? (a) Aarav (b) Isha (c) Meera
7. 7.A number machine multiplies a number by 2 and then takes away 2. Each output goes back in as the next input. Start with 3. What comes out after step 3?
8. 8.Each person always tells the truth or always lies. Tara says: “Saanvi is a liar.” Saanvi 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
9. 9.Sneha is older than Rohan. Sneha is younger than Saanvi. Who is the second youngest? (a) Sneha (b) Saanvi (c) Rohan
10. 10.Each person always tells the truth or always lies. Diya says: “Saanvi and I are the same kind.” Aarav says: “Saanvi is a liar.” Saanvi says: “Diya and I are different kinds.” Is Saanvi a truth-teller or a liar? (a) truth-teller (b) liar
11. 11.Ishaan walks 32 m West, turns right and walks 7 m, then turns right again and walks 8 m. How far is he from the starting point now, in a straight line (in m)?
12. 12.I am a 2-digit number. My digits add up to 15. If you swap my two digits, the new number is 27 more than me. What number am I?
13. 13.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
14. 14.Which capital letter looks exactly the same in a mirror? (a) M (b) P (c) R (d) Q
15. 15.If KITE is written as LJUF, how is BOAT written in the same code? (a) UBPC (b) CPBU (c) ANZS (d) DQCV
16. 16.The sum of three consecutive numbers is 45. What is the smallest of them?
17. 17.If LION is written as NOIL, how is NEST written in the same code? (a) SRDM (b) TSEN (c) UTFO (d) OFTU
18. 18.Which number is the odd one out: 29, 95, 5, 61? (a) 29 (b) 95 (c) 5 (d) 61
19. 19.Manav walks 8 km North, then turns right and walks 6 km. How far is he from the starting point now, in a straight line (in km)?
20. 20.Rule: If the shop is open, then Vivaan buys milk. Fact: Vivaan buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
21. 21.Statements: All balls are bags. No bags are keys. Conclusion: No keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
22. 22.Rahul is shorter than Siddharth. Neel is shorter than Rahul. Aditya is taller than Siddharth. Who is the shortest? (a) Rahul (b) Siddharth (c) Aditya (d) Neel
23. 23.Which number is the odd one out: 85, 75, 99, 95? (a) 85 (b) 75 (c) 99 (d) 95
24. 24.If KITE is written as NLWH, how is HAND written in the same code? (a) LERH (b) JCPF (c) EXKA (d) KDQG
25. 25.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: 24 59 28 51 16 21. After step 2, what is the 1st number from the left?
26. 26.Each person always tells the truth or always lies. Neel says: “At least one of us two, Rahul or I, is a liar.” Rahul says: “Neel is a liar.” Is Rahul a truth-teller or a liar? (a) truth-teller (b) liar
27. 27.Statements: All balls are coins. Some coins are rings. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
28. 28.Aarav is heavier than Siddharth. Aarav is lighter than Ira. Who is the heaviest? (a) Siddharth (b) Aarav (c) Ira
29. 29.Isha is a girl. How is Isha’s mother’s brother’s son related to Isha? (a) uncle (b) cousin (c) brother (d) nephew
30. 30.Find the missing number. The same rule works in every row or in every column.
    9 | 3 | 15
    25 | ? | 1
    25 | 1 | 1
31. 31.Which number is the odd one out: 59, 53, 87, 79? (a) 59 (b) 53 (c) 87 (d) 79
32. 32.Today is Friday. What day of the week will it be 100 days from today? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
33. 33.Aditya runs slower than Isha. Priya runs slower than Kavya. Kavya runs slower than Aditya. Who runs the second slowest? (a) Kavya (b) Isha (c) Aditya (d) Priya
34. 34.Vivaan, Pooja and Riya each have a different pet: rabbit, parrot or dog. Pooja does not have the dog. Vivaan does not have the dog. Pooja does not have the rabbit. Who has the rabbit? (a) Vivaan (b) Pooja (c) Riya
35. 35.Rule: If Kabir scores above 90, then Kabir gets a gold star. Fact: Kabir does not score above 90. What can you say about “Kabir gets a gold star”? (a) must be true (b) must be false (c) can't tell
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 9 + 3 − 15 ÷ 16?
37. 37.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
38. 38.Tara, Vivaan and Ira each have a different pet: dog, cat or parrot. Tara does not have the cat. Ira does not have the parrot. Ira does not have the dog. Tara does not have the dog. Who has the cat? (a) Tara (b) Vivaan (c) Ira
39. 39.What is the smaller angle between the hour hand and the minute hand at 5:13? (in degrees) =
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 6 + 6 − 6?

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