Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 418 · 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.The sum of three consecutive numbers is 99. What is the smallest of them?
2. 2.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
3. 3.A clock shows 5:59. What time does it show in a mirror? (a) 7:59 (b) 7:01 (c) 6:01 (d) 5:01
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 4 − 9 × 7?
5. 5.Dev, Sneha and Meera each have a bag of a different colour: blue, yellow or green. Dev’s bag is not yellow. Meera’s bag is not blue. Sneha’s bag is not blue. Sneha’s bag is not yellow. What colour is Meera’s bag? (a) blue (b) yellow (c) green
6. 6.Which number is the odd one out: 31, 71, 63, 3? (a) 31 (b) 71 (c) 63 (d) 3
7. 7.Find the missing number. The same rule works in every row or in every column.
   5 | 7 | 16
   11 | 7 | ?
   6 | 19 | 3
8. 8.Which number is the odd one out: 60, 19, 5, 13? (a) 60 (b) 19 (c) 5 (d) 13
9. 9.In a group of 26 children, 8 like mangoes, 15 like bananas and 4 like both. How many like only mangoes?
10. 10.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 8. What comes out after step 2?
11. 11.Five friends (Ishaan, Myra, Rohan, Tara and Vivaan) sit in a row. Left and right are as you look at them. Tara sits somewhere to the left of Ishaan. Vivaan sits somewhere to the left of Myra. Vivaan sits just to the right of Rohan. Ishaan does not sit at either end. Myra sits just to the right of Ishaan. Tara sits at the left end. Who sits just to the right of Tara? (a) Myra (b) Rohan (c) Ishaan (d) Tara
12. 12.Rohan is younger than Riya. Myra is younger than Rohan. Who is the second oldest? (a) Rohan (b) Myra (c) Riya
13. 13.Two standard dice show 6 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
14. 14.Find the missing number. The same rule works in every row or in every column.
    6 | 4 | 24
    ? | 3 | 18
    5 | 8 | 40
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 2 ÷ 16 + 16?
16. 16.4 June is a Saturday. What day of the week is 4 July of the same year? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
17. 17.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
18. 18.Four friends (Diya, Pooja, Sneha and Vivaan) sit in a row. Left and right are as you look at them. Pooja sits just to the right of Sneha. Diya sits somewhere to the left of Pooja. Diya sits at the left end. Vivaan sits just to the right of Diya. Who sits just to the left of Sneha? (a) Vivaan (b) Sneha (c) Diya (d) Pooja
19. 19.Nisha is facing North. She turns right, then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
20. 20.A clock shows 2:59. What time does it show in a mirror? (a) 8:01 (b) 10:59 (c) 10:01 (d) 9:01
21. 21.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: 42 50 46 98 94 74. After step 2, what is the 2nd number from the left?
22. 22.A clock shows 11:15. What time will it show 97 minutes later? (a) 1:52 (b) 12:42 (c) 1:02 (d) 12:52
23. 23.I am a 2-digit number. My digits add up to 3 and my tens digit is 1 more than my ones digit. What number am I?
24. 24.Kavya, Aditya and Aisha each have a bag of a different colour: yellow, white or red. Aisha’s bag is not yellow. Aditya’s bag is not white. Aisha’s bag is not white. What colour is Aditya’s bag? (a) yellow (b) white (c) red
25. 25.1 January 2017 is a Sunday. What day of the week is 11 February 2017? (a) Sunday (b) Monday (c) Friday (d) Saturday
26. 26.Two standard dice show 3 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
27. 27.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
28. 28.If KITE is written as ETIK, how is CAKE written in the same code? (a) DJZB (b) DBLF (c) FLBD (d) EKAC
29. 29.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) N (b) Q (c) L (d) E
30. 30.The sum of three consecutive numbers is 57. What is the largest of them?
31. 31.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) N (b) P (c) I (d) S
32. 32.26 March is a Monday. What day of the week is 26 April of the same year? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
33. 33.How many degrees does the minute hand of a clock turn in 9 minutes? =
34. 34.In a group of 23 children, 11 sing Hindi songs, 13 sing English songs and 4 sing both. How many sing exactly one of the two?
35. 35.Sneha walks 7 m East, turns right and walks 3 m, then turns right again and walks 3 m. How far is she from the starting point now, in a straight line (in m)?
36. 36.Which number is the odd one out: 43, 59, 97, 44? (a) 43 (b) 59 (c) 97 (d) 44
37. 37.What is the smaller angle between the hour hand and the minute hand at 12:10? (in degrees) =
38. 38.Rohan is older than Ananya. Aisha is older than Vivaan. Aisha is younger than Ananya. Who is the oldest? (a) Ananya (b) Vivaan (c) Aisha (d) Rohan
39. 39.Statements: Some books are cups. Some kites are cups. Conclusion: All kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 4 ÷ 4 + 17?

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