Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 314 · 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.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 11 ÷ 12 + 19?
3. 3.Statements: All coins are boxes. No keys are boxes. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
4. 4.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 11 + 4 ÷ 18?
6. 6.Diya runs faster than Nisha. Diya runs slower than Karan. Who runs the second slowest? (a) Diya (b) Nisha (c) Karan
7. 7.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) X (b) R (c) Z (d) P
8. 8.1 January 2025 is a Wednesday. What day of the week is 8 November 2025? (a) Sunday (b) Monday (c) Saturday (d) Friday
9. 9.Which capital letter looks exactly the same in a mirror? (a) G (b) B (c) N (d) X
10. 10.Four friends (Kabir, Karan, Omkar and Priya) sit in a row. Left and right are as you look at them. Kabir sits somewhere to the left of Priya. Karan sits next to both Kabir and Omkar. Omkar sits just to the right of Karan. Who sits at the left end? (a) Kabir (b) Omkar (c) Priya (d) Karan
11. 11.Which capital letter does NOT look the same in a mirror? (a) T (b) O (c) A (d) K
12. 12.Kavya is facing West. She turns left, then turns right, then turns left, then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
13. 13.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 4 + 4 ÷ 18 × 4?
15. 15.If BALL is written as YZOO, how is SUN written in the same code? (a) HFM (b) GEL (c) TVO (d) IGN
16. 16.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) Z (b) U (c) B (d) S
17. 17.If GOLD is written as EMPH, how is BALL written in the same code? (a) CBMM (b) KKZA (c) MMBC (d) LLAB
18. 18.Runs scored in a cricket match: Karan 59, Aditya 10, Myra 6, Neel 13, Aarav 20. What is the difference between the highest and the lowest?
19. 19.Which number is the odd one out: 71, 41, 67, 2? (a) 71 (b) 41 (c) 67 (d) 2
20. 20.What is the smaller angle between the hour hand and the minute hand at 1:17? (in degrees) =
21. 21.Two standard dice show 5 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 3 × 3 − 7?
23. 23.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: 50 82 42 26 99 54. After step 4, what is the 4th number from the left?
24. 24.In a group of 32 grown-ups, 17 drink tea, 25 drink coffee and 12 drink both. How many drink at least one of the two?
25. 25.1 January 2031 is a Wednesday. What day of the week is 28 July 2031? (a) Sunday (b) Wednesday (c) Monday (d) Tuesday
26. 26.I am a 2-digit number. My digits add up to 13. If you swap my two digits, the new number is 9 more than me. What number am I?
27. 27.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    18 | 16 | 26
    28 | 20 | 12
    14 | ? | 22
28. 28.Find the missing number. The same rule works in every row or in every column.
    2 | 10 | 5
    8 | 5 | ?
    8 | 8 | 1
29. 29.Find the missing number. The same rule works in every row or in every column.
    6 | 1 | 17
    1 | 1 | ?
    2 | 10 | 12
30. 30.Books read in the summer holidays: Yash 22, Pooja 29, Meera 4, Karan 8, Omkar 17. What is the total for all five children?
31. 31.Riya is younger than Tara. Vivaan is younger than Riya. Who is the second youngest? (a) Riya (b) Tara (c) Vivaan
32. 32.Five friends (Ananya, Ishaan, Manav, Priya and Rahul) sit in a row. Left and right are as you look at them. Ananya does not sit at either end. Priya sits somewhere to the left of Manav. Ishaan sits next to both Ananya and Manav. Rahul sits somewhere to the left of Ishaan. Ananya sits next to both Rahul and Ishaan. Who sits at the right end? (a) Manav (b) Ananya (c) Ishaan (d) Priya
33. 33.Is 2034 a leap year? (a) Yes (b) No
34. 34.Rahul is a boy. How is Rahul’s father’s sister’s husband related to Rahul? (a) brother-in-law (b) father (c) grandfather (d) uncle
35. 35.Dev walks 15 m East, turns right and walks 16 m, then turns right again and walks 3 m. How far is he from the starting point now, in a straight line (in m)?
36. 36.Karan walks 10 m North, turns left and walks 8 m, then turns left again and walks 4 m. How far is he from the starting point now, in a straight line (in m)?
37. 37.If TREE is written as RPCC, how is CAKE written in the same code? (a) BZJD (b) ECMG (c) AYIC (d) ZXHB
38. 38.If RAIN is written as NIAR, how is CAT written in the same code? (a) DBU (b) TAC (c) SZB (d) UBD
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 2 ÷ 9 − 9?
40. 40.Each person always tells the truth or always lies. Nisha says: “Yash and I are the same kind.” Yash says: “At least one of us two, Nisha or I, is a liar.” Is Yash a truth-teller or a liar? (a) truth-teller (b) liar

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