Logical Reasoning Test Worksheet
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.
NameDateTime takenScore ___ / 40
- 1.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: 30 21 42 54 47 80. After step 2, what is the 3rd number from the left?
- 2.Manav walks 9 km North, then turns right and walks 12 km. How far is he from the starting point now, in a straight line (in km)?
- 3.Omkar, Meera and Manav each have a bag of a different colour: red, yellow or green. Omkar’s bag is not yellow. Manav’s bag is not red. Manav’s bag is not green. Omkar’s bag is not green. What colour is Omkar’s bag? (a) red (b) yellow (c) green
- 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 16 ÷ 8 − 8?
- 5.Books read in the summer holidays: Aditya 10, Manav 11, Yash 6, Tara 17, Karan 28. What is the difference between the highest and the lowest?
- 6.If + means ×, − means ÷, × means + and ÷ means −, what is 9 − 9 + 9 × 4?
- 7.Two standard dice show 1 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
- 8.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have exactly three painted faces?
- 9.Which number is the odd one out: 81, 88, 9, 99? (a) 81 (b) 88 (c) 9 (d) 99
- 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 2 − 16 × 8?
- 11.Rule: If Ishaan wins the match, then Ishaan gets a medal. Fact: Ishaan wins the match. What can you say about “Ishaan gets a medal”? (a) must be true (b) must be false (c) can't tell
- 12.In a group of 35 children, 18 play cricket, 22 play football and 9 play both. How many play at least one of the two?
- 13.I am a 2-digit number. My digits add up to 8 and my tens digit is 4 more than my ones digit. What number am I?
- 14.Each person always tells the truth or always lies. Siddharth says: “At least one of us two, Nisha or I, is a liar.” Nisha says: “Meera tells the truth.” Meera says: “Siddharth is a liar.” Is Nisha a truth-teller or a liar? (a) truth-teller (b) liar
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15.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
5 | 19 | 9
15 | ? | 7
13 | 3 | 17 -
16.Find the missing number. The same rule works in every row or in every column.
12 | 6 | 18
? | 15 | 16
8 | 11 | 19 - 17.Kites flown at Makar Sankranti: Priya 23, Tara 7, Siddharth 15, Dev 3, Farhan 12. Who has the most kites? (a) Farhan (b) Tara (c) Siddharth (d) Priya
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18.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
7 | 22 | 19
28 | 16 | ?
13 | 10 | 25 -
19.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
14 | 19 | 12
13 | 15 | 17
18 | 11 | ? -
20.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
32 | 11 | 26
? | 23 | 29
20 | 35 | 14 - 21.Five friends (Aarav, Arjun, Farhan, Rahul and Tara) sit in a row. Left and right are as you look at them. Tara sits at the right end. Farhan does not sit at either end. Aarav does not sit at either end. Rahul sits somewhere to the left of Farhan. Aarav sits next to both Rahul and Farhan. Tara sits just to the right of Farhan. Who sits just to the right of Rahul? (a) Aarav (b) Farhan (c) Arjun (d) Rahul
- 22.How many degrees does the hour hand of a clock turn in 159 minutes? =
- 23.Which number is the odd one out: 83, 45, 61, 53? (a) 83 (b) 45 (c) 61 (d) 53
- 24.Yash is a boy. How is Yash’s sister’s daughter related to Yash? (a) sister (b) aunt (c) daughter (d) niece
- 25.Rahul, Saanvi and Arjun each play a different game: football, chess or carrom. Rahul does not play football. Saanvi does not play chess. Saanvi does not play carrom. Rahul does not play chess. Which game does Saanvi play? (a) football (b) chess (c) carrom
- 26.Statements: No balls are caps. All kites are balls. Conclusion: No kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
- 27.Vivaan runs faster than Arjun. Karan runs faster than Vivaan. Arjun runs faster than Omkar. Who runs the slowest? (a) Karan (b) Omkar (c) Arjun (d) Vivaan
- 28.Runs scored in a cricket match: Yash 22, Isha 25, Karan 44, Nisha 29, Siddharth 5. What is the total for all five children?
- 29.Which number is the odd one out: 97, 17, 4, 47? (a) 97 (b) 17 (c) 4 (d) 47
- 30.Which number is the odd one out: 47, 21, 29, 3? (a) 47 (b) 21 (c) 29 (d) 3
- 31.Five friends (Aarav, Aditya, Siddharth, Sneha and Yash) sit in a row. Left and right are as you look at them. Yash sits next to both Aarav and Siddharth. Aditya sits somewhere to the left of Siddharth. Aarav sits somewhere to the left of Siddharth. Sneha sits somewhere to the left of Siddharth. Aarav sits just to the right of Aditya. Who sits just to the left of Siddharth? (a) Yash (b) Aditya (c) Sneha (d) Siddharth
- 32.Pooja is facing West. She turns right, then turns left, then turns around (a half turn). Which direction is she facing now? (a) North (b) East (c) South (d) West
- 33.Aditya is heavier than Farhan. Ishaan is heavier than Aditya. Who is the lightest? (a) Aditya (b) Farhan (c) Ishaan
- 34.Books read in the summer holidays: Vivaan 7, Karan 22, Zoya 16, Aisha 30, Ananya 4. Who has the fewest books? (a) Ananya (b) Aisha (c) Vivaan (d) Karan
- 35.Ishaan walks 4 m South, then turns right and walks 12 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
- 36.Which capital letter looks exactly the same in a mirror? (a) K (b) R (c) E (d) H
- 37.If KITE is written as NLWH, how is RAIN written in the same code? (a) UDLQ (b) OXFK (c) TCKP (d) VEMR
- 38.A clock shows 7:57. What time will it show 135 minutes later? (a) 11:12 (b) 10:22 (c) 10:02 (d) 10:12
- 39.If SHIP is written as UJKR, how is MOON written in the same code? (a) OQQP (b) NPPO (c) KMML (d) PRRQ
- 40.Statements: All rings are bags. Some rings are cups. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
Answer key
- 30
- 15
- red
- 288
- 22
- 13
- 8
- 8
- 88
- 7
- must be true
- 31
- 62
- liar
- 11
- 1
- Priya
- 4
- 16
- 17
- Aarav
- 79.5
- 45
- niece
- football
- Yes
- Omkar
- 125
- 4
- 21
- Yash
- East
- Farhan
- Ananya
- South-West
- H
- UDLQ
- 10:12
- OQQP
- Yes
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