Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 588 · 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.Aisha walks 13 m North, then turns left and walks 11 m. In which direction is she now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
2. 2.Three friends (Diya, Nisha and Riya) sit in a row. Left and right are as you look at them. Nisha sits just to the right of Diya. Diya sits somewhere to the left of Riya. Who sits just to the left of Riya? (a) Diya (b) Riya (c) Nisha
3. 3.What is the smaller angle between the hour hand and the minute hand at 12:09? (in degrees) =
4. 4.Saanvi is a girl. How is Saanvi’s brother’s son related to Saanvi? (a) nephew (b) brother (c) cousin (d) son
5. 5.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: 61 45 98 66 84 42. After step 4, what is the 4th number from the left?
6. 6.If DRUM is written as MURD, how is KITE written in the same code? (a) DSHJ (b) LJUF (c) FUJL (d) ETIK
7. 7.Which capital letter looks exactly the same in a mirror? (a) R (b) Q (c) B (d) T
8. 8.Ishaan is older than Rohan. Rohan is older than Meera. Who is the oldest? (a) Ishaan (b) Meera (c) Rohan
9. 9.Each person always tells the truth or always lies. Priya says: “Karan and I are the same kind.” Karan says: “Ananya tells the truth.” Ananya says: “Priya tells the truth.” Is Karan a truth-teller or a liar? (a) truth-teller (b) liar
10. 10.Find the missing number. The same rule works in every row or in every column.
    20 | 3 | 23
    2 | 2 | 4
    14 | ? | 15
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 × 7 − 9 ÷ 19?
12. 12.How many degrees does the hour hand of a clock turn in 100 minutes? =
13. 13.Rule: If Priya wins the match, then Priya gets a medal. Fact: Priya does not get a medal. What can you say about “Priya does not win the match”? (a) must be true (b) must be false (c) can't tell
14. 14.Dev is facing West. He turns left, then turns left, then turns right, then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
15. 15.Aarav, Priya and Saanvi each have a bag of a different colour: blue, red or white. Aarav’s bag is not red. Saanvi’s bag is not blue. Priya’s bag is not white. Saanvi’s bag is not white. What colour is Aarav’s bag? (a) blue (b) red (c) white
16. 16.Is 2021 a leap year? (a) Yes (b) No
17. 17.Each person always tells the truth or always lies. Ira says: “Isha is a liar.” Isha says: “Ira and I are the same kind.” Is Ira a truth-teller or a liar? (a) truth-teller (b) liar
18. 18.A number machine multiplies a number by 2 and then adds 2. Each output goes back in as the next input. Start with 5. What comes out after step 2?
19. 19.Aarav is a boy. How is Aarav’s sister’s son related to Aarav? (a) brother (b) nephew (c) son (d) cousin
20. 20.In a group of 20 children, 13 enjoy drawing, 12 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
21. 21.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have exactly two painted faces?
22. 22.Farhan is a boy. How is Farhan’s father’s sister related to Farhan? (a) cousin (b) sister (c) mother (d) aunt
23. 23.Ananya runs faster than Riya. Ananya runs slower than Karan. Karan runs slower than Ishaan. Who runs the slowest? (a) Karan (b) Ishaan (c) Riya (d) Ananya
24. 24.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
25. 25.Which number is the odd one out: 29, 42, 59, 31? (a) 29 (b) 42 (c) 59 (d) 31
26. 26.Find the missing number. The same rule works in every row or in every column.
    6 | 8 | 48
    ? | 2 | 16
    2 | 2 | 4
27. 27.Which number is the odd one out: 71, 95, 47, 23? (a) 71 (b) 95 (c) 47 (d) 23
28. 28.Ananya, Isha and Siddharth each have a bag of a different colour: green, white or red. Isha’s bag is not white. Siddharth’s bag is not white. Isha’s bag is not red. Whose bag is green? (a) Ananya (b) Isha (c) Siddharth
29. 29.Which capital letter does NOT look the same in a mirror? (a) W (b) H (c) I (d) B
30. 30.The sum of three consecutive even numbers is 72. What is the largest of them?
31. 31.If CAT is written as XZG, how is DRUM written in the same code? (a) ESVN (b) WIFN (c) VHEM (d) XJGO
32. 32.Tara, Priya and Aisha each have a bag of a different colour: red, green or white. Aisha’s bag is not red. Tara’s bag is not white. Priya’s bag is not white. Priya’s bag is not red. What colour is Tara’s bag? (a) red (b) green (c) white
33. 33.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 6. What comes out after step 2?
34. 34.Two standard dice show 1 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
35. 35.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: 57 67 46 17 26 99. After step 2, what is the 6th number from the left?
36. 36.Which number is the odd one out: 6, 30, 7, 75? (a) 6 (b) 30 (c) 7 (d) 75
37. 37.Three friends (Aarav, Aisha and Saanvi) sit in a row. Left and right are as you look at them. Saanvi does not sit at either end. Aisha sits somewhere to the left of Aarav. Who sits at the left end? (a) Aarav (b) Aisha (c) Saanvi
38. 38.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have exactly two painted faces?
39. 39.Farhan is heavier than Siddharth. Rahul is lighter than Siddharth. Zoya is heavier than Farhan. Who is the second lightest? (a) Farhan (b) Siddharth (c) Rahul (d) Zoya
40. 40.Each person always tells the truth or always lies. Omkar says: “Yash tells the truth.” Yash says: “Omkar and I are the same kind.” Sneha says: “Yash tells the truth.” Is Yash a truth-teller or a liar? (a) truth-teller (b) liar

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