Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 341 · 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.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) Y (b) M (c) J (d) I
2. 2.Each person always tells the truth or always lies. Kavya says: “Aisha is a liar.” Aisha says: “Kavya and I are different kinds.” Is Aisha a truth-teller or a liar? (a) truth-teller (b) liar
3. 3.Find the missing number. The same rule works in every row or in every column.
   9 | 5 | 14
   11 | 1 | 16
   4 | 2 | ?
4. 4.Two standard dice show 5 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
5. 5.Which number is the odd one out: 34, 37, 89, 59? (a) 34 (b) 37 (c) 89 (d) 59
6. 6.Trees planted in a week: Manav 19, Vivaan 11, Isha 13, Yash 8, Farhan 18. What is the total for all five children?
7. 7.Ananya, Sneha and Ira each play a different game: badminton, carrom or chess. Ira does not play carrom. Sneha does not play chess. Ananya does not play chess. Sneha does not play carrom. Who plays badminton? (a) Ananya (b) Sneha (c) Ira
8. 8.Each person always tells the truth or always lies. Tara says: “Kavya and I both tell the truth.” Neel says: “Tara is a liar.” Kavya says: “Neel tells the truth.” Is Tara a truth-teller or a liar? (a) truth-teller (b) liar
9. 9.Which number is the odd one out: 90, 2, 73, 67? (a) 90 (b) 2 (c) 73 (d) 67
10. 10.Find the missing number. The same rule works in every row or in every column.
    16 | 5 | 21
    9 | 4 | 13
    12 | ? | 18
11. 11.Statements: No kites are toys. No toys are shoes. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
12. 12.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
13. 13.Find the missing number. The same rule works in every row or in every column.
    4 | 5 | 1
    18 | 3 | 11
    ? | 8 | 12
14. 14.Aarav, Vivaan and Rohan each have a different pet: parrot, rabbit or tortoise. Aarav does not have the parrot. Vivaan does not have the rabbit. Rohan does not have the tortoise. Aarav does not have the tortoise. Which pet does Rohan have? (a) parrot (b) rabbit (c) tortoise
15. 15.Vivaan runs slower than Ira. Farhan runs faster than Ira. Who runs the second fastest? (a) Vivaan (b) Farhan (c) Ira
16. 16.A number machine multiplies a number by 2 and then adds 3. Each output goes back in as the next input. Start with 9. What comes out after step 3?
17. 17.Rahul, Zoya and Neel each have a different pet: cat, rabbit or tortoise. Neel does not have the cat. Zoya does not have the cat. Zoya does not have the rabbit. Who has the cat? (a) Rahul (b) Zoya (c) Neel
18. 18.Ira is lighter than Priya. Farhan is heavier than Priya. Who is the lightest? (a) Priya (b) Ira (c) Farhan
19. 19.Find the missing number. The same rule works in every row or in every column.
    5 | 5 | 25
    3 | ? | 12
    5 | 3 | 15
20. 20.In a group of 39 children, 20 sing Hindi songs, 14 sing English songs and 10 sing both. How many sing exactly one of the two?
21. 21.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: 62 13 74 92 86 91. After step 2, what is the 6th number from the left?
22. 22.If KITE is written as PRGV, how is TREE written in the same code? (a) HJWW (b) FHUU (c) USFF (d) GIVV
23. 23.If DOG is written as GOD, how is NEST written in the same code? (a) UTFO (b) SRDM (c) TSEN (d) OFTU
24. 24.If NEST is written as MDRS, how is CAT written in the same code? (a) CAT (b) AYR (c) BZS (d) DBU
25. 25.Diya is heavier than Zoya. Riya is lighter than Zoya. Who is the heaviest? (a) Zoya (b) Riya (c) Diya
26. 26.Two standard dice show 6 and 4 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
27. 27.Find the missing number. The same rule works in every row or in every column.
    20 | 18 | 38
    6 | ? | 10
    17 | 1 | 18
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 16 + 12 × 20?
29. 29.Statements: No coins are caps. All caps are keys. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
30. 30.If HAND is written as SZMW, how is COLD written in the same code? (a) DPME (b) WKNV (c) YMPX (d) XLOW
31. 31.A wooden cube is painted on all six faces, then each edge is cut into 3 equal parts, making small cubes. How many small cubes have exactly one painted face?
32. 32.I am a 2-digit number. My digits add up to 17. If you swap my two digits, the new number is 9 more than me. What number am I?
33. 33.In a group of 24 children, 15 sing Hindi songs, 12 sing English songs and 5 sing both. How many sing only Hindi songs?
34. 34.Rahul runs faster than Yash. Aditya runs slower than Yash. Who runs the fastest? (a) Rahul (b) Yash (c) Aditya
35. 35.Statements: All cups are keys. Some cups are kites. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
36. 36.Siddharth is a boy. How is Siddharth’s father’s sister related to Siddharth? (a) sister (b) cousin (c) aunt (d) mother
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 10 − 8 × 4?
38. 38.Sneha, Neel and Saanvi each have a different pet: dog, tortoise or rabbit. Saanvi does not have the tortoise. Saanvi does not have the rabbit. Neel does not have the tortoise. Which pet does Sneha have? (a) dog (b) tortoise (c) rabbit
39. 39.In a group of 39 children, 20 sing Hindi songs, 24 sing English songs and 12 sing both. How many sing exactly one of the two?
40. 40.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    8 | 29 | 14
    23 | 17 | ?
    20 | 5 | 26

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