Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 193 · 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. 1.1 January 2002 is a Tuesday. What day of the week is 17 September 2002? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 9 ÷ 3 × 14?
3. 3.Rule: If the bell rings, then the class starts. Fact: The class starts. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
4. 4.I am a 2-digit number. My digits add up to 7 and my tens digit is 1 more than my ones digit. What number am I?
5. 5.I am a 2-digit number. My digits add up to 11. If you swap my two digits, the new number is 9 more than me. What number am I?
6. 6.Sneha is shorter than Farhan. Farhan is shorter than Riya. Who is the second tallest? (a) Farhan (b) Sneha (c) Riya
7. 7.Isha is a girl. How is Isha’s mother’s brother related to Isha? (a) cousin (b) uncle (c) brother (d) grandfather
8. 8.On a standard dice, opposite faces add up to 7. The dice shows 5 on top. What number is on the bottom face?
9. 9.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not get water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
10. 10.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: 21 95 74 58 66 65. After step 2, what is the 6th number from the left?
11. 11.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is not red”? (a) must be true (b) must be false (c) can't tell
12. 12.Find the missing number. The same rule works in every row or in every column.
    6 | 7 | 42
    8 | 5 | ?
    3 | 4 | 12
13. 13.What is the smaller angle between the hour hand and the minute hand at 5:43? (in degrees) =
14. 14.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: 97 68 58 16 10 53. After step 3, what is the 3rd number from the left?
15. 15.Which number is the odd one out: 55, 85, 17, 95? (a) 55 (b) 85 (c) 17 (d) 95
16. 16.A clock shows 4:42. What time does it show in a mirror? (a) 6:18 (b) 7:18 (c) 8:42 (d) 8:18
17. 17.Each person always tells the truth or always lies. Ananya says: “Ira and I are the same kind.” Ira says: “Ananya tells the truth.” Is Ananya a truth-teller or a liar? (a) truth-teller (b) liar
18. 18.Diya, Priya and Rohan each have a bag of a different colour: green, yellow or blue. Rohan’s bag is not blue. Priya’s bag is not yellow. Diya’s bag is not yellow. Diya’s bag is not blue. What colour is Priya’s bag? (a) green (b) yellow (c) blue
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 16 ÷ 8 × 2?
20. 20.Pooja is taller than Kavya. Manav is shorter than Kavya. Who is the tallest? (a) Pooja (b) Kavya (c) Manav
21. 21.Aisha walks 6 m South, turns left and walks 12 m, then turns left again and walks 1 m. How far is she from the starting point now, in a straight line (in m)?
22. 22.Omkar is a boy. How is Omkar’s sister’s son related to Omkar? (a) son (b) cousin (c) brother (d) nephew
23. 23.Ananya is taller than Karan. Dev is shorter than Karan. Who is the shortest? (a) Karan (b) Ananya (c) Dev
24. 24.Karan, Kabir and Sneha each have a bag of a different colour: red, blue or green. Karan’s bag is not green. Karan’s bag is not red. Sneha’s bag is not green. Whose bag is green? (a) Karan (b) Kabir (c) Sneha
25. 25.I am a 2-digit number. My digits add up to 12. If you swap my two digits, the new number is 18 more than me. What number am I?
26. 26.Arjun is heavier than Isha. Ira is lighter than Isha. Farhan is heavier than Arjun. Who is the heaviest? (a) Ira (b) Arjun (c) Isha (d) Farhan
27. 27.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya does not go to the park. What can you say about “Priya does not finish the homework”? (a) must be true (b) must be false (c) can't tell
28. 28.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) R (b) P (c) O (d) G
29. 29.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 3. What comes out after step 2?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 7 × 13 − 13?
31. 31.A clock shows 8:29. What time will it show 124 minutes later? (a) 10:43 (b) 11:33 (c) 10:33 (d) 10:23
32. 32.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) G (b) S (c) J (d) C
33. 33.Find the missing number. The same rule works in every row or in every column.
    18 | 11 | 29
    13 | 10 | ?
    20 | 6 | 26
34. 34.Find the missing number. The same rule works in every row or in every column.
    9 | 6 | 54
    ? | 2 | 12
    7 | 9 | 63
35. 35.Vivaan is a boy. How is Vivaan’s father’s only son’s sister related to Vivaan? (a) mother (b) cousin (c) sister (d) aunt
36. 36.Rohan walks 14 m East, then turns left and walks 12 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
37. 37.In a group of 46 children, 17 sing Hindi songs, 29 sing English songs and 12 sing both. How many sing exactly one of the two?
38. 38.Each person always tells the truth or always lies. Ishaan says: “Farhan and I both tell the truth.” Saanvi says: “Farhan and I are different kinds.” Farhan says: “Saanvi is a liar.” Is Farhan a truth-teller or a liar? (a) truth-teller (b) liar
39. 39.Which number is the odd one out: 3, 71, 66, 73? (a) 3 (b) 71 (c) 66 (d) 73
40. 40.Find the missing number. The same rule works in every row or in every column.
    1 | 4 | 5
    5 | 17 | 22
    1 | ? | 3

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