Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 554 · 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.Find the missing number. The same rule works in every row or in every column.
   17 | 19 | ?
   1 | 7 | 8
   16 | 1 | 17
2. 2.A number machine multiplies a number by 3 and then takes away 4. Each output goes back in as the next input. Start with 8. What comes out after step 2?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 5 + 11 − 11?
4. 4.A clock shows 8:33. What time does it show in a mirror? (a) 2:27 (b) 4:27 (c) 4:33 (d) 3:27
5. 5.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have exactly one painted face?
6. 6.A clock shows 12:07. What time does it show in a mirror? (a) 11:53 (b) 12:53 (c) 10:53 (d) 12:07
7. 7.If FROG is written as HPSG, how is MILK written in the same code? (a) KLIM (b) JKHL (c) LMJN (d) NJML
8. 8.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: 37 71 97 24 79 36. After step 2, what is the 1st number from the left?
9. 9.Five friends (Diya, Kavya, Meera, Myra and Vivaan) sit in a row. Left and right are as you look at them. Myra does not sit at either end. Myra sits somewhere to the left of Vivaan. Diya sits somewhere to the left of Vivaan. Meera sits somewhere to the left of Myra. Kavya sits next to both Myra and Vivaan. Diya sits next to both Meera and Myra. Who sits at the left end? (a) Meera (b) Myra (c) Kavya (d) Vivaan
10. 10.Each person always tells the truth or always lies. Isha says: “Arjun is a liar.” Arjun says: “Isha and I both tell the truth.” Is Arjun a truth-teller or a liar? (a) truth-teller (b) liar
11. 11.A clock shows 12:21. What time does it show in a mirror? (a) 12:21 (b) 12:39 (c) 11:39 (d) 10:39
12. 12.A number machine multiplies a number by 2 and then adds 4. Each output goes back in as the next input. Start with 9. What comes out after step 3?
13. 13.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    8 | 1 | 6
    3 | ? | 7
    4 | 9 | 2
14. 14.On a standard dice, opposite faces add up to 7. The dice shows 5 on top. What number is on the bottom face?
15. 15.Find the missing number. The same rule works in every row or in every column.
    ? | 16 | 23
    2 | 10 | 12
    8 | 10 | 18
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 4 − 2 ÷ 12?
17. 17.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?
18. 18.Rule: If the shop is open, then Zoya buys milk. Fact: The shop is not open. What can you say about “Zoya does not buy milk”? (a) must be true (b) must be false (c) can't tell
19. 19.Runs scored in a cricket match: Nisha 52, Ira 15, Tara 40, Aditya 42, Rahul 25. How many children have more than 24 runs?
20. 20.Three friends (Rahul, Siddharth and Zoya) sit in a row. Left and right are as you look at them. Zoya sits somewhere to the left of Siddharth. Zoya sits at the left end. Rahul does not sit at either end. Who sits at the right end? (a) Siddharth (b) Zoya (c) Rahul
21. 21.Statements: No kites are rings. All rings are keys. Conclusion: All kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
22. 22.Which capital letter does NOT look the same in a mirror? (a) V (b) X (c) M (d) R
23. 23.5 October is a Sunday. What day of the week is 5 November of the same year? (a) Wednesday (b) Tuesday (c) Friday (d) Thursday
24. 24.Two standard dice show 6 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
25. 25.Each person always tells the truth or always lies. Rahul says: “Kabir and I are different kinds.” Kabir says: “Rahul and I are different kinds.” Is Rahul a truth-teller or a liar? (a) truth-teller (b) liar
26. 26.If HAND is written as DNAH, how is CAKE written in the same code? (a) DJZB (b) FLBD (c) EKAC (d) DBLF
27. 27.Pooja is taller than Rohan. Manav is taller than Yash. Rohan is taller than Manav. Who is the second tallest? (a) Rohan (b) Pooja (c) Manav (d) Yash
28. 28.Kabir runs faster than Siddharth. Pooja runs slower than Siddharth. Who runs the second slowest? (a) Kabir (b) Pooja (c) Siddharth
29. 29.Isha is taller than Kavya. Isha is shorter than Nisha. Who is the tallest? (a) Nisha (b) Isha (c) Kavya
30. 30.How many degrees does the hour hand of a clock turn in 92 minutes? =
31. 31.Ishaan, Arjun and Dev each have a bag of a different colour: red, yellow or blue. Ishaan’s bag is not blue. Dev’s bag is not yellow. Arjun’s bag is not blue. Ishaan’s bag is not yellow. Whose bag is blue? (a) Ishaan (b) Arjun (c) Dev
32. 32.Which number is the odd one out: 11, 46, 37, 41? (a) 11 (b) 46 (c) 37 (d) 41
33. 33.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
34. 34.Neel is a boy. How is Neel’s father’s only son’s sister related to Neel? (a) aunt (b) cousin (c) mother (d) sister
35. 35.1 January 2003 is a Wednesday. What day of the week is 23 February 2003? (a) Monday (b) Tuesday (c) Sunday (d) Saturday
36. 36.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: 62 83 96 75 20 64. After step 4, what is the 1st number from the left?
37. 37.In a group of 52 children, 23 play cricket, 19 play football and 4 play both. How many play exactly one of the two?
38. 38.Ananya is lighter than Aisha. Aisha is lighter than Ira. Ira is lighter than Nisha. Who is the second heaviest? (a) Nisha (b) Ananya (c) Ira (d) Aisha
39. 39.I am a 2-digit number. My digits add up to 5 and my tens digit is 1 more than my ones digit. What number am I?
40. 40.Pooja, Dev and Diya each have a bag of a different colour: blue, white or green. Pooja’s bag is not green. Dev’s bag is not blue. Diya’s bag is not green. Diya’s bag is not white. What colour is Diya’s bag? (a) blue (b) white (c) green

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