Arrangement Reasoning Mixed Worksheet
How to think it through (Draw it): Name the type of question first. Draw it: a row of boxes, a compass, a family tree or a clock face. Use the formula from that lesson and check the answer against every clue.
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- 1.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have exactly three painted faces?
- 2.Today is Thursday. What day of the week will it be 17 days from today? (a) Monday (b) Tuesday (c) Sunday (d) Saturday
- 3.Four friends (Arjun, Myra, Nisha and Saanvi) sit in a row. Left and right are as you look at them. Nisha does not sit at either end. Saanvi sits somewhere to the left of Arjun. Saanvi sits somewhere to the left of Myra. Myra does not sit at either end. Myra sits just to the right of Nisha. Who sits just to the left of Arjun? (a) Myra (b) Saanvi (c) Arjun (d) Nisha
- 4.Kavya is older than Kabir. Myra is younger than Kabir. Priya is younger than Myra. Who is the oldest? (a) Priya (b) Kavya (c) Myra (d) Kabir
- 5.A wooden cube is painted on all six faces, then each edge is cut into 4 equal parts, making small cubes. How many small cubes have exactly one painted face?
- 6.In a class, Kabir ranks 6th from the top and 16th from the bottom. How many students are in the class?
- 7.Zoya is a girl. How is Zoya’s son’s son related to Zoya? (a) grandson (b) brother (c) nephew (d) son
- 8.In a row of 27 children, Karan is 12th from the left. What is Karan’s position from the right?
- 9.Myra is facing North. She turns left, then turns left, then turns left, then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
- 10.Three friends (Arjun, Myra and Priya) sit in a row. Left and right are as you look at them. Arjun sits just to the right of Priya. Priya does not sit at either end. Who sits at the right end? (a) Arjun (b) Myra (c) Priya
- 11.Five friends (Aisha, Isha, Kabir, Manav and Priya) sit in a row. Left and right are as you look at them. Manav sits somewhere to the left of Isha. Kabir sits somewhere to the left of Isha. Priya sits somewhere to the left of Aisha. Kabir sits somewhere to the left of Aisha. Isha sits at the right end. Priya does not sit at either end. Aisha sits next to both Manav and Isha. Who sits in the middle? (a) Priya (b) Kabir (c) Aisha (d) Manav
- 12.Which capital letter does NOT look the same in a mirror? (a) R (b) H (c) A (d) X
- 13.Arjun is 7th from the left and 10th from the right in a row of children. How many children are in the row?
- 14.A clock shows 4:43. What time does it show in a mirror? (a) 8:43 (b) 6:17 (c) 7:17 (d) 8:17
- 15.Diya is a girl. How is Diya’s brother’s wife related to Diya? (a) cousin (b) aunt (c) sister (d) sister-in-law
- 16.A clock shows 4:04. What time will it show 170 minutes later? (a) 7:54 (b) 7:04 (c) 6:54 (d) 6:44
- 17.Four friends (Aarav, Karan, Tara and Zoya) sit in a row. Left and right are as you look at them. Karan sits just to the right of Tara. Tara sits next to both Zoya and Karan. Tara sits somewhere to the left of Aarav. Who sits at the left end? (a) Tara (b) Aarav (c) Karan (d) Zoya
- 18.A clock shows 4:44. What time will it show 126 minutes later? (a) 7:00 (b) 6:50 (c) 6:40 (d) 7:50
- 19.Yash is younger than Kavya. Nisha is younger than Vivaan. Kavya is younger than Nisha. Who is the youngest? (a) Nisha (b) Yash (c) Vivaan (d) Kavya
- 20.Diya walks 15 m West, then turns around and walks 5 m. How far is she from the starting point now (in m)?
- 21.In a class, Farhan ranks 3rd from the top and 12th from the bottom. How many students are in the class?
- 22.Is 2023 a leap year? (a) Yes (b) No
- 23.Kabir is a boy. How is Kabir’s father’s only son’s sister related to Kabir? (a) cousin (b) sister (c) mother (d) aunt
- 24.1 January 2024 is a Monday. What day of the week is 7 November 2024? (a) Thursday (b) Saturday (c) Friday (d) Wednesday
- 25.Karan walks 6 km North, then turns right and walks 8 km. How far is he from the starting point now, in a straight line (in km)?
- 26.A wooden cube is painted on all six faces, then cut into 64 equal small cubes. How many small cubes have exactly one painted face?
- 27.Riya is taller than Nisha. Riya is shorter than Kabir. Who is the second tallest? (a) Kabir (b) Riya (c) Nisha
- 28.Rahul is 18th from the left and 9th from the right in a row of children. How many children are in the row?
- 29.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 30.In a row of 28 children, Riya is 8th from the left and Dev is 6th from the right. How many children sit between Riya and Dev?
- 31.Zoya runs slower than Neel. Rahul runs slower than Zoya. Who runs the second slowest? (a) Zoya (b) Neel (c) Rahul
- 32.Five friends (Aarav, Aisha, Ananya, Tara and Vivaan) sit in a row. Left and right are as you look at them. Vivaan sits somewhere to the left of Aisha. Aarav sits next to both Tara and Vivaan. Tara sits somewhere to the left of Ananya. Tara sits somewhere to the left of Vivaan. Ananya sits just to the right of Vivaan. Who sits at the right end? (a) Aisha (b) Ananya (c) Tara (d) Aarav
- 33.6 July is a Sunday. What day of the week is 6 August of the same year? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
- 34.Two standard dice show 3 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
- 35.What is the smaller angle between the hour hand and the minute hand at 9:06? (in degrees) =
- 36.Neel is a boy. How is Neel’s father’s only son’s sister related to Neel? (a) sister (b) mother (c) aunt (d) cousin
- 37.In a row of 15 children, Ananya is 12th from the left. What is Ananya’s position from the right?
- 38.A clock shows 2:26. What time will it show 56 minutes later? (a) 3:32 (b) 3:12 (c) 4:22 (d) 3:22
- 39.In a row of 19 children, Siddharth is 5th from the left. What is Siddharth’s position from the right?
- 40.What is the smaller angle between the hour hand and the minute hand at 8:27? (in degrees) =
Answer key
- 8
- Sunday
- Myra
- Kavya
- 24
- 21
- grandson
- 16
- North
- Arjun
- Manav
- R
- 16
- 7:17
- sister-in-law
- 6:54
- Zoya
- 6:50
- Yash
- 10
- 14
- No
- sister
- Thursday
- 10
- 24
- Riya
- 26
- 348
- 14
- Zoya
- Aisha
- Wednesday
- 10
- 123
- sister
- 4
- 3:22
- 15
- 91.5
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