Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 489 · 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.In a group of 28 children, 13 sing Hindi songs, 14 sing English songs and 7 sing both. How many sing only English songs?
2. 2.Each person always tells the truth or always lies. Manav says: “Ananya tells the truth.” Neel says: “At least one of us two, Ananya or I, is a liar.” Ananya says: “Manav and I are different kinds.” Is Manav a truth-teller or a liar? (a) truth-teller (b) liar
3. 3.The sum of three consecutive even numbers is 72. What is the largest of them?
4. 4.Zoya is a girl. How is Zoya’s father’s father’s only son’s son related to Zoya? (a) uncle (b) brother (c) father (d) cousin
5. 5.In a group of 31 children, 9 like mangoes, 14 like bananas and 2 like both. How many like at least one of the two?
6. 6.Which number is the odd one out: 19, 37, 46, 89? (a) 19 (b) 37 (c) 46 (d) 89
7. 7.Ishaan, Sneha and Myra each play a different game: cricket, chess or football. Sneha does not play chess. Sneha does not play football. Myra does not play football. Which game does Sneha play? (a) cricket (b) chess (c) football
8. 8.Each person always tells the truth or always lies. Priya says: “Diya is a liar.” Diya says: “Priya and I are the same kind.” Rohan says: “Priya tells the truth.” Is Diya a truth-teller or a liar? (a) truth-teller (b) liar
9. 9.If HAND is written as EOBI, how is WIND written in the same code? (a) CMHV (b) EOJX (c) XJOE (d) DNIW
10. 10.Five friends (Kabir, Pooja, Priya, Sneha and Tara) sit in a row. Left and right are as you look at them. Pooja does not sit at either end. Kabir sits somewhere to the left of Priya. Kabir sits somewhere to the left of Pooja. Sneha sits at the right end. Tara sits just to the right of Kabir. Sneha sits just to the right of Pooja. Who sits in the middle? (a) Tara (b) Priya (c) Sneha (d) Pooja
11. 11.Which number is the odd one out: 97, 36, 83, 3? (a) 97 (b) 36 (c) 83 (d) 3
12. 12.1 January 2021 is a Friday. What day of the week is 3 June 2021? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
13. 13.Riya is a girl. How is Riya’s father’s sister related to Riya? (a) sister (b) cousin (c) aunt (d) mother
14. 14.Rule: If it rains, then the road gets wet. Fact: The road does not get wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell
15. 15.If PEN is written as KVM, how is MILK written in the same code? (a) NJML (b) OSPQ (c) MQNO (d) NROP
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 14 + 17 ÷ 16?
17. 17.Meera, Isha and Saanvi each have a different pet: cat, parrot or rabbit. Isha does not have the parrot. Saanvi does not have the parrot. Isha does not have the cat. Who has the parrot? (a) Meera (b) Isha (c) Saanvi
18. 18.Which capital letter looks exactly the same in a mirror? (a) E (b) P (c) M (d) G
19. 19.Which number is the odd one out: 65, 41, 83, 31? (a) 65 (b) 41 (c) 83 (d) 31
20. 20.I am a 2-digit number. My digits add up to 6 and my tens digit is 4 more than my ones digit. What number am I?
21. 21.Which number is the odd one out: 19, 42, 51, 29? (a) 19 (b) 42 (c) 51 (d) 29
22. 22.Saanvi, Kabir and Priya each play a different game: badminton, cricket or football. Priya does not play badminton. Priya does not play football. Saanvi does not play football. Who plays cricket? (a) Saanvi (b) Kabir (c) Priya
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 3 + 19 ÷ 4?
24. 24.A number machine multiplies a number by 3 and then adds 3. Each output goes back in as the next input. Start with 3. What comes out after step 2?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 5 ÷ 20 − 2?
26. 26.Five friends (Aisha, Ishaan, Karan, Myra and Yash) sit in a row. Left and right are as you look at them. Karan sits just to the right of Yash. Myra does not sit at either end. Myra sits somewhere to the left of Ishaan. Ishaan sits at the right end. Karan sits somewhere to the left of Aisha. Myra sits next to both Karan and Aisha. Who sits just to the left of Aisha? (a) Karan (b) Aisha (c) Myra (d) Ishaan
27. 27.Find the missing number. The same rule works in every row or in every column.
    14 | 16 | ?
    7 | 20 | 27
    18 | 14 | 32
28. 28.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
29. 29.Priya, Kavya and Diya each have a different pet: rabbit, dog or cat. Kavya does not have the rabbit. Diya does not have the cat. Priya does not have the dog. Priya does not have the cat. Who has the dog? (a) Priya (b) Kavya (c) Diya
30. 30.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: 12 78 54 90 15 68. After step 3, what is the 6th number from the left?
31. 31.Zoya, Omkar and Karan each play a different game: cricket, chess or badminton. Karan does not play cricket. Omkar does not play chess. Karan does not play badminton. Omkar does not play badminton. Which game does Omkar play? (a) cricket (b) chess (c) badminton
32. 32.Meera is a girl. How is Meera’s father’s father’s only son’s son related to Meera? (a) father (b) cousin (c) uncle (d) brother
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 9 − 9 + 11?
34. 34.Rule: If Diya finishes the homework, then Diya goes to the park. Fact: Diya does not finish the homework. What can you say about “Diya goes to the park”? (a) must be true (b) must be false (c) can't tell
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: 89 26 25 33 91 14. After step 2, what is the 6th number from the left?
36. 36.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) J (b) A (c) O (d) U
37. 37.Is 2053 a leap year? (a) Yes (b) No
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 17 ÷ 3 × 2?
39. 39.Statements: Some cups are coins. All coins are shoes. Conclusion: All shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 18 × 2 + 8?

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