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.
NameDateTime takenScore ___ / 40
- 1.In a class, Kabir ranks 9th from the top and 20th from the bottom. How many students are in the class?
- 2.On a standard dice, opposite faces add up to 7. The dice shows 4 on top. What number is on the bottom face?
- 3.Which capital letter looks exactly the same in a mirror? (a) D (b) S (c) A (d) F
- 4.On a standard dice, opposite faces add up to 7. The dice shows 1 on top. What number is on the bottom face?
- 5.17 May is a Sunday. What day of the week is 17 June of the same year? (a) Friday (b) Thursday (c) Wednesday (d) Tuesday
- 6.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 two painted faces?
- 7.Siddharth walks 26 m North, then turns around and walks 17 m. How far is he from the starting point now (in m)?
- 8.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 at least one painted face?
- 9.Kabir is a boy. How is Kabir’s mother’s mother related to Kabir? (a) sister (b) grandmother (c) mother (d) aunt
- 10.A clock shows 2:46. What time does it show in a mirror? (a) 8:14 (b) 10:14 (c) 9:14 (d) 10:46
- 11.Kavya is shorter than Meera. Arjun is taller than Meera. Who is the second tallest? (a) Kavya (b) Arjun (c) Meera
- 12.Vivaan walks 14 m West, turns right and walks 6 m, then turns right again and walks 6 m. How far is he from the starting point now, in a straight line (in m)?
- 13.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 three painted faces?
- 14.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
- 15.Tara is lighter than Aarav. Siddharth is lighter than Tara. Manav is lighter than Siddharth. Who is the second lightest? (a) Tara (b) Manav (c) Siddharth (d) Aarav
- 16.In a row of 37 children, Zoya is 32nd from the left. What is Zoya’s position from the right?
- 17.Kavya is older than Kabir. Kavya is younger than Saanvi. Who is the second oldest? (a) Kavya (b) Kabir (c) Saanvi
- 18.Five friends (Ishaan, Karan, Nisha, Priya and Vivaan) sit in a row. Left and right are as you look at them. Karan sits somewhere to the left of Ishaan. Ishaan sits just to the right of Vivaan. Karan sits somewhere to the left of Priya. Nisha does not sit at either end. Ishaan sits next to both Vivaan and Nisha. Who sits in the middle? (a) Vivaan (b) Priya (c) Karan (d) Ishaan
- 19.Five friends (Arjun, Kavya, Siddharth, Sneha and Vivaan) sit in a row. Left and right are as you look at them. Sneha sits somewhere to the left of Siddharth. Vivaan sits just to the right of Siddharth. Kavya sits somewhere to the left of Vivaan. Arjun sits somewhere to the left of Vivaan. Arjun sits somewhere to the left of Kavya. Arjun sits at the left end. Siddharth sits next to both Kavya and Vivaan. Who sits at the right end? (a) Sneha (b) Vivaan (c) Kavya (d) Siddharth
- 20.Aditya is heavier than Ira. Sneha is lighter than Ira. Who is the second heaviest? (a) Ira (b) Sneha (c) Aditya
- 21.Diya is facing South. She turns left, then turns left. Which direction is she facing now? (a) North (b) East (c) South (d) West
- 22.Pooja is a girl. How is Pooja’s brother’s son related to Pooja? (a) son (b) cousin (c) brother (d) nephew
- 23.Aarav walks 7 km South, then turns right and walks 24 km. How far is he from the starting point now, in a straight line (in km)?
- 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.A clock shows 9:16. What time does it show in a mirror? (a) 1:44 (b) 3:16 (c) 3:44 (d) 2:44
- 26.In a row of 33 children, Meera is 3rd from the left and Ira is 27th from the right. How many children sit between Meera and Ira?
- 27.In a row of 42 children, Arjun is 10th from the left and Ira is 16th from the right. How many children sit between Arjun and Ira?
- 28.Pooja is shorter than Arjun. Myra is taller than Saanvi. Saanvi is taller than Arjun. Who is the tallest? (a) Arjun (b) Pooja (c) Saanvi (d) Myra
- 29.What is the smaller angle between the hour hand and the minute hand at 7:49? (in degrees) =
- 30.Three friends (Aarav, Priya and Vivaan) sit in a row. Left and right are as you look at them. Aarav sits just to the right of Priya. Aarav sits at the right end. Who sits in the middle? (a) Aarav (b) Priya (c) Vivaan
- 31.Two standard dice show 6 and 4 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
- 32.Rohan runs faster than Karan. Rohan runs slower than Aditya. Aditya runs slower than Ananya. Who runs the second fastest? (a) Aditya (b) Rohan (c) Karan (d) Ananya
- 33.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
- 34.Manav is a boy. How is Manav’s mother’s brother related to Manav? (a) cousin (b) brother (c) uncle (d) grandfather
- 35.Two standard dice show 1 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
- 36.Today is Sunday. What day of the week will it be 26 days from today? (a) Thursday (b) Sunday (c) Saturday (d) Friday
- 37.Siddharth is younger than Manav. Vivaan is older than Manav. Who is the second youngest? (a) Siddharth (b) Manav (c) Vivaan
- 38.Four friends (Ishaan, Rohan, Saanvi and Sneha) sit in a row. Left and right are as you look at them. Saanvi sits just to the right of Rohan. Sneha sits somewhere to the left of Ishaan. Ishaan sits just to the right of Saanvi. Who sits at the right end? (a) Sneha (b) Saanvi (c) Ishaan (d) Rohan
- 39.Aarav is a boy. How is Aarav’s sister’s daughter related to Aarav? (a) sister (b) daughter (c) niece (d) aunt
- 40.Karan is facing South. He turns around (a half turn), then turns right, then turns around (a half turn), then turns around (a half turn). Which direction is he facing now? (a) North (b) East (c) South (d) West
Answer key
- 28
- 3
- A
- 6
- Wednesday
- 24
- 9
- 56
- grandmother
- 9:14
- Meera
- 10
- 8
- 4
- Siddharth
- 6
- Kavya
- Ishaan
- Vivaan
- Ira
- North
- nephew
- 25
- 3
- 2:44
- 3
- 16
- Myra
- 59.5
- Priya
- 4
- Aditya
- 136
- uncle
- 12
- Friday
- Manav
- Ishaan
- niece
- East
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