Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 528 · 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 15 ÷ 4 − 4 + 14?
2. 2.Four friends (Aditya, Meera, Saanvi and Sneha) sit in a row. Left and right are as you look at them. Meera sits somewhere to the left of Sneha. Aditya sits somewhere to the left of Saanvi. Saanvi sits at the right end. Aditya sits just to the right of Meera. Who sits at the left end? (a) Saanvi (b) Aditya (c) Meera (d) Sneha
3. 3.Kites flown at Makar Sankranti: Aarav 16, Sneha 14, Ishaan 9, Aditya 7, Vivaan 24. What is the difference between the highest and the lowest?
4. 4.A number machine multiplies a number by 3 and then adds 4. Each output goes back in as the next input. Start with 9. What comes out after step 2?
5. 5.Kites flown at Makar Sankranti: Ishaan 15, Rahul 4, Pooja 7, Saanvi 13, Neel 2. How many more kites does Ishaan have than Neel?
6. 6.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
   13 | 11 | ?
   23 | 15 | 7
   9 | 19 | 17
7. 7.Myra walks 24 km East, then turns left and walks 7 km. How far is she from the starting point now, in a straight line (in km)?
8. 8.A number machine multiplies a number by 2 and then takes away 4. Each output goes back in as the next input. Start with 5. What comes out after step 2?
9. 9.I am a 2-digit number. My digits add up to 15. If you swap my two digits, the new number is 9 more than me. What number am I?
10. 10.Marks in a maths test (out of 50): Farhan 16, Tara 37, Aisha 23, Rohan 32, Karan 35. What is the difference between the highest and the lowest?
11. 11.Which number is the odd one out: 82, 97, 37, 73? (a) 82 (b) 97 (c) 37 (d) 73
12. 12.Manav, Zoya and Meera each play a different game: carrom, chess or football. Zoya does not play football. Manav does not play football. Zoya does not play carrom. Which game does Manav play? (a) carrom (b) chess (c) football
13. 13.Kabir, Ishaan and Pooja each have a different pet: tortoise, rabbit or dog. Kabir does not have the dog. Kabir does not have the rabbit. Pooja does not have the dog. Who has the tortoise? (a) Kabir (b) Ishaan (c) Pooja
14. 14.A number machine multiplies a number by 2 and then adds 1. Each output goes back in as the next input. Start with 9. What comes out after step 3?
15. 15.1 January 2006 is a Sunday. What day of the week is 10 July 2006? (a) Tuesday (b) Monday (c) Wednesday (d) Sunday
16. 16.Each person always tells the truth or always lies. Neel says: “Rahul and I are the same kind.” Rahul says: “Neel is a liar.” Is Neel a truth-teller or a liar? (a) truth-teller (b) liar
17. 17.How many degrees does the hour hand of a clock turn in 27 minutes? =
18. 18.Rule: If Tara wins the match, then Tara gets a medal. Fact: Tara gets a medal. What can you say about “Tara does not win the match”? (a) must be true (b) must be false (c) can't tell
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 17 × 5 ÷ 16?
20. 20.What is the smaller angle between the hour hand and the minute hand at 3:53? (in degrees) =
21. 21.Trees planted in a week: Tara 36, Omkar 34, Siddharth 8, Pooja 29, Aarav 11. How many more trees does Tara have than Pooja?
22. 22.Kabir walks 7 m West, then turns right and walks 24 m. How far is he from the starting point now, in a straight line (in m)?
23. 23.Find the missing number. The same rule works in every row or in every column.
    3 | 3 | ?
    6 | 3 | 4
    7 | 1 | 5
24. 24.If TOYS is written as VQAU, how is GOLD written in the same code? (a) IQNF (b) JROG (c) EMJB (d) HPME
25. 25.Nisha is a girl. How is Nisha’s brother’s son related to Nisha? (a) son (b) brother (c) cousin (d) nephew
26. 26.Tara, Ishaan and Arjun each have a bag of a different colour: white, red or blue. Arjun’s bag is not white. Ishaan’s bag is not red. Ishaan’s bag is not blue. Arjun’s bag is not blue. What colour is Tara’s bag? (a) white (b) red (c) blue
27. 27.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
28. 28.Saanvi, Myra and Yash each have a different pet: parrot, dog or cat. Yash does not have the dog. Myra does not have the dog. Yash does not have the cat. Which pet does Saanvi have? (a) parrot (b) dog (c) cat
29. 29.Rahul is a boy. How is Rahul’s father’s only son’s sister related to Rahul? (a) mother (b) cousin (c) aunt (d) sister
30. 30.In a group of 46 children, 30 like mangoes, 24 like bananas and 12 like both. How many like at least one of the two?
31. 31.2 April is a Monday. What day of the week is 2 May of the same year? (a) Wednesday (b) Thursday (c) Friday (d) Tuesday
32. 32.Each person always tells the truth or always lies. Kabir says: “At least one of us two, Riya or I, is a liar.” Riya says: “Kabir and I both tell the truth.” Is Riya a truth-teller or a liar? (a) truth-teller (b) liar
33. 33.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: 87 25 60 67 94 78. After step 2, what is the 1st number from the left?
34. 34.1 January 2027 is a Friday. What day of the week is 8 June 2027? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
35. 35.A number machine multiplies a number by 2 and then takes away 5. Each output goes back in as the next input. Start with 8. What comes out after step 3?
36. 36.Find the missing number. The same rule works in every row or in every column.
    16 | 6 | 22
    14 | 12 | ?
    6 | 10 | 16
37. 37.Four friends (Dev, Ira, Rohan and Siddharth) sit in a row. Left and right are as you look at them. Rohan sits somewhere to the left of Ira. Ira sits at the right end. Rohan does not sit at either end. Rohan sits just to the right of Dev. Siddharth sits just to the right of Rohan. Who sits at the left end? (a) Dev (b) Ira (c) Rohan (d) Siddharth
38. 38.Find the missing number. The same rule works in every row or in every column.
    9 | 18 | 27
    9 | 3 | 12
    7 | 18 | ?
39. 39.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: 91 54 96 92 21 55. After step 4, what is the 2nd number from the left?
40. 40.In a group of 40 children, 18 sing Hindi songs, 23 sing English songs and 3 sing both. How many sing at least one of the two?

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