Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 427 · 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 9 ÷ 3 + 9 − 14?
2. 2.In a group of 32 children, 8 sing Hindi songs, 14 sing English songs and 4 sing both. How many sing only English songs?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 8 × 11 + 11?
4. 4.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?
5. 5.What is the smaller angle between the hour hand and the minute hand at 5:45? (in degrees) =
6. 6.Today is Wednesday. What day of the week will it be 43 days from today? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
7. 7.Statements: All bags are books. All boxes are bags. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
8. 8.Which capital letter does NOT look the same in a mirror? (a) T (b) H (c) A (d) D
9. 9.Riya walks 30 m South, then turns around and walks 28 m. How far is she from the starting point now (in m)?
10. 10.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
11. 11.Statements: All keys are toys. All toys are kites. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
12. 12.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) N (b) Y (c) D (d) V
13. 13.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    11 | 4 | 9
    ? | 8 | 10
    7 | 12 | 5
14. 14.Ananya is a girl. How is Ananya’s brother’s son related to Ananya? (a) nephew (b) son (c) cousin (d) brother
15. 15.If CAT is written as XZG, how is FISH written in the same code? (a) TQGR (b) URHS (c) GJTI (d) VSIT
16. 16.Manav, Ananya and Karan each have a bag of a different colour: white, green or blue. Ananya’s bag is not green. Karan’s bag is not blue. Manav’s bag is not white. Manav’s bag is not green. What colour is Manav’s bag? (a) white (b) green (c) blue
17. 17.In a group of 43 children, 25 sing Hindi songs, 12 sing English songs and 9 sing both. How many sing only English songs?
18. 18.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: 77 59 67 84 21 85. After step 4, what is the 2nd number from the left?
19. 19.Rule: If the plant gets water, then the plant stays green. Fact: The plant stays green. What can you say about “The plant does not get water”? (a) must be true (b) must be false (c) can't tell
20. 20.Five friends (Dev, Diya, Isha, Kabir and Neel) sit in a row. Left and right are as you look at them. Diya sits somewhere to the left of Neel. Kabir does not sit at either end. Neel sits next to both Isha and Kabir. Diya sits somewhere to the left of Dev. Isha sits just to the right of Diya. Who sits just to the right of Kabir? (a) Isha (b) Kabir (c) Neel (d) Dev
21. 21.Isha runs faster than Karan. Isha runs slower than Ishaan. Who runs the fastest? (a) Ishaan (b) Isha (c) Karan
22. 22.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: 51 37 81 86 65 77. After step 2, what is the 2nd number from the left?
23. 23.In a group of 29 children, 12 sing Hindi songs, 19 sing English songs and 6 sing both. How many sing only English songs?
24. 24.If PARK is written as KRAP, how is CAT written in the same code? (a) TAC (b) SZB (c) UBD (d) DBU
25. 25.Ira walks 4 km East, then turns left and walks 3 km. How far is she from the starting point now, in a straight line (in km)?
26. 26.Karan is lighter than Omkar. Rohan is heavier than Omkar. Aarav is heavier than Rohan. Who is the lightest? (a) Karan (b) Omkar (c) Rohan (d) Aarav
27. 27.Which capital letter looks exactly the same in a mirror? (a) T (b) B (c) N (d) S
28. 28.Rule: If the traffic light is red, then the cars stop. Fact: The cars do not stop. What can you say about “The traffic light is not red”? (a) must be true (b) must be false (c) can't tell
29. 29.Which number is the odd one out: 59, 88, 48, 12? (a) 59 (b) 88 (c) 48 (d) 12
30. 30.In a group of 49 children, 30 play chess, 23 play carrom and 11 play both. How many play only carrom?
31. 31.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara does not go to the park. What can you say about “Tara does not finish the homework”? (a) must be true (b) must be false (c) can't tell
32. 32.If TOYS is written as GLBH, how is NEST written in the same code? (a) LUGF (b) NWIH (c) MVHG (d) OFTU
33. 33.Today is Tuesday. What day of the week will it be 19 days from today? (a) Sunday (b) Monday (c) Tuesday (d) Saturday
34. 34.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) K (b) Z (c) P (d) G
35. 35.Ira is younger than Arjun. Arjun is younger than Rohan. Who is the second oldest? (a) Ira (b) Rohan (c) Arjun
36. 36.Statements: All pens are rings. Some pens are books. Conclusion: Some books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
37. 37.If STAR is written as TUBS, how is CAKE written in the same code? (a) ECMG (b) FLBD (c) BZJD (d) DBLF
38. 38.If GOLD is written as EMJB, how is STAR written in the same code? (a) QRYP (b) RSZQ (c) UVCT (d) PQXO
39. 39.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    5 | 12 | 7
    10 | 8 | 6
    9 | ? | 11
40. 40.Ishaan is taller than Neel. Siddharth is shorter than Aditya. Siddharth is taller than Ishaan. Who is the tallest? (a) Siddharth (b) Aditya (c) Neel (d) Ishaan

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