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Question: How much heat is required to convert 5.0 g of ice at –10.0 °C to liquid water at 15.0 °C? (Assume heat capacities are independent of temperature.)
Choices:
A. 4.2 × 10^2 J
B. 2.1 × 10^3 J
C. 9.3 × 10^3 J
D. 3.8 × 10^4 J
|
[
"\\boxed{B}"
] |
75e1843a-dcac-4aff-bf87-9144646c50c8
|
[
"images/75e1843a-dcac-4aff-bf87-9144646c50c8-0.png"
] | null | 1,037 |
Question: Under certain conditions CO_2 melts rather than sublimes. To which transition in the phase diagram does this change correspond?
Choices:
A. A → B
B. A → C
C. B → C
D. C → B
|
[
"\\boxed{A}"
] |
9dfe9d35-ca2d-42dc-8fdd-ee67781ae388
|
[
"images/9dfe9d35-ca2d-42dc-8fdd-ee67781ae388-0.png"
] | null | 1,038 |
Question: A spinner was created by drawing five radii from the centre of a circle. The first four radii divide the circle into four equal wedges. The fifth radius divides one of the wedges into two parts, one having twice the area of the other. The five wedges are labelled as pictured with the wedge labeled by 2 having twice the area of the wedge labeled by 1.Determine the probability of spinning an odd number.
|
[
"\\boxed{\\frac{7}{12}}"
] |
87192fff-87ef-4628-a3e1-524e045e86ec
|
[
"images/87192fff-87ef-4628-a3e1-524e045e86ec-0.png"
] | null | 1,039 |
Question: \( ABCDE \) is a pyramid with square base \( ABCD \). Point \( E \) is directly above \( A \) with \( AE = 1024 \) and \( AB = 640 \).The pyramid is cut into two pieces by a horizontal plane parallel to \( ABCD \). This horizontal plane is a distance \( h \) above the base \( ABCD \). The portion of \( ABCDE \) that is above the plane is a new pyramid. For how many integers \( h \) is the volume of the new pyramid an integer?
|
[
"\\boxed{85}"
] |
5d20d50d-e783-4706-b620-90e1c27d1008
|
[
"images/5d20d50d-e783-4706-b620-90e1c27d1008-0.png"
] | null | 1,040 |
Question: A solid cube has a volume of \( 1000 \, \text{cm}^3 \). A cube with volume \( 64 \, \text{cm}^3 \) is removed from one corner of the cube. The resulting solid has a total of nine faces: three large squares that were faces of the original cube, three of the original faces with a square removed from one corner, and three smaller squares. One of the smaller square faces is shaded. The ratio of the area of the shaded face to the surface area of the new solid is of the form \( 2 : x \). What is the value of \( x \)?
|
[
"\\boxed{75}"
] |
0758009f-eb67-4abe-b2fb-309cf50cbdd1
|
[
"images/0758009f-eb67-4abe-b2fb-309cf50cbdd1-0.png"
] | null | 1,041 |
Question: Tetrahedron \( ABCD \) has base \( \triangle ABC \). Point \( E \) is the midpoint of \( AB \). Point \( F \) is on \( AD \) so that \( FD = 2AF \), point \( G \) is on \( BD \) so that \( GD = 2BG \), and point \( H \) is on \( CD \) so that \( HD = 2CH \). Point \( M \) is the midpoint of \( FG \) and point \( P \) is the point of intersection of the line segments \( EH \) and \( CM \). What is the ratio of the volume of tetrahedron \( EBCP \) to the volume of tetrahedron \( ABCD \)?
|
[
"\\boxed{\\frac{1}{10}}"
] |
a16fd805-cd49-4434-a872-5ad46e9e2c94
|
[
"images/a16fd805-cd49-4434-a872-5ad46e9e2c94-0.png"
] | null | 1,042 |
Question: A group of eight students have lockers that are arranged as shown, in two rows of four lockers with one row directly on top of the other. The students are allowed to paint their lockers either blue or red according to two rules. The first rule is that there must be two blue lockers and two red lockers in each row. The second rule is that lockers in the same column must have different colours. How many ways are there for the students to paint their lockers according to the rules?
|
[
"\\boxed{6}"
] |
9bf47fb0-5dfc-49ea-8373-3f95868ac462
|
[
"images/9bf47fb0-5dfc-49ea-8373-3f95868ac462-0.png"
] | null | 1,043 |
Question: A sphere with centre \( O \) is cut into two hemispheres, each of which is placed on its circular base. Radii \( OC \) and \( OD \) are drawn in the two hemispheres, each perpendicular to the base. Point \( A \) is on \( OC \) so that \( OA = \frac{1}{3}OC \) and point \( B \) is on \( OD \) so that \( OB = \frac{2}{3}OD \). In each hemisphere, a plane parallel to the base cuts the sphere along a circular cross section of the hemisphere. The plane cutting the hemisphere with radius \( OC \) passes through \( A \) and the plane cutting the hemisphere with radius \( OD \) passes through \( B \). Each cross section forms the base of a cone with its vertex at \( O \). What is the ratio of the volume of the cone with \( A \) on its base to the volume of the cone with \( B \) on its base?*The volume of a cone with height \( h \) and a circular base of radius \( r \) is \( \frac{1}{3} \pi r^2 h \).*
|
[
"\\boxed{4:5}"
] |
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|
[
"images/846d37e9-509d-4a75-869b-317e53b36a5c-0.png"
] | null | 1,044 |
Question: Which of the following assignment of cookies will satisfy all the children’s requests?A. B. C. D.
Choices:
A. B. C. D.
|
[
"\\boxed{C}"
] |
0bb0e99a-88e4-4336-b112-22b87c8aff49
|
[
"images/0bb0e99a-88e4-4336-b112-22b87c8aff49-0.png"
] | null | 1,045 |
Question: Which colour(s) can be used for Mei’s house?
Choices:
A. Only red can be used. B. Only blue can be used. C. Only green can be used. D. Either red or green can be used.
|
[
"\\boxed{B}"
] |
44c442cd-4624-41e6-b10e-d71b19b443c0
|
[
"images/44c442cd-4624-41e6-b10e-d71b19b443c0-0.png"
] | null | 1,046 |
Question: Which explorer can get to the treasure chest?
Choices:
A. B. C. D.
|
[
"\\boxed{A}"
] |
730934da-163f-454d-97c5-3c50a0682a42
|
[
"images/730934da-163f-454d-97c5-3c50a0682a42-0.png"
] | null | 1,047 |
Question: What is the minimum number of moves Ayo needs to get the spider car in the spider square?
Choices:
A. 9 B. 11 C. 13 D. 15
|
[
"\\boxed{B}"
] |
8115b551-877e-41f8-8ccc-6ce229ae2b04
|
[
"images/8115b551-877e-41f8-8ccc-6ce229ae2b04-0.png"
] | null | 1,048 |
Question: Which of the following colour sequences cannot be constructed?
Choices:
A. YELLOW -> BLUE -> BLUE -> RED -> BLUE B. BLUE -> YELLOW -> RED -> YELLOW -> RED C. RED -> RED -> YELLOW -> BLUE -> BLUE D. BLUE -> RED -> YELLOW -> BLUE -> RED
|
[
"\\boxed{C}"
] |
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|
[
"images/bd3324b4-c979-43a9-adbb-603e93e25063-0.png"
] | null | 1,049 |
Question: Which of the following images is not a possible Superbebras background?
Choices:
A. B. C. D.
|
[
"\\boxed{B}"
] |
eda63ea2-ff53-4811-b8fa-56f8d835d1d8
|
[
"images/eda63ea2-ff53-4811-b8fa-56f8d835d1d8-0.png"
] | null | 1,050 |
Question: What fruit is produced by the following combined magical transformation?
Choices:
A. B. C. D.
|
[
"\\boxed{B}"
] |
faf1aebf-f3d1-49ef-956c-1d2469f5ba2f
|
[
"images/faf1aebf-f3d1-49ef-956c-1d2469f5ba2f-0.png"
] | null | 1,051 |
Question: What is the largest number of beads that Rory can put on the string?
Choices:
A. 4 beads B. 5 beads C. 6 beads D. 7 beads
|
[
"\\boxed{C}"
] |
91aa9d32-36fc-4aaa-a8a2-8963fd5a734f
|
[
"images/91aa9d32-36fc-4aaa-a8a2-8963fd5a734f-0.png"
] | null | 1,052 |
Question: In one day, what is the largest number of trains that can travel from Quandaria to Pixleton?
Choices:
A. 13 B. 16 C. 19 D. 12
|
[
"\\boxed{A}"
] |
5848cce6-c0a1-4fb3-bb08-941ec90a6112
|
[
"images/5848cce6-c0a1-4fb3-bb08-941ec90a6112-0.png"
] | null | 1,053 |
Question: Which coin was the fourth coin that Emil placed on the table?
Choices:
A. B. C. D.
|
[
"\\boxed{B}"
] |
bde37ddb-ea54-446f-82a4-2a74550ebdcb
|
[
"images/bde37ddb-ea54-446f-82a4-2a74550ebdcb-0.png"
] | null | 1,054 |
Question: How many of the following four experiments will be flagged?
Choices:
A. 1 B. 2 C. 3 D. 4
|
[
"\\boxed{C}"
] |
9dad18ac-cd9c-40c0-8389-1b1af9462926
|
[
"images/9dad18ac-cd9c-40c0-8389-1b1af9462926-0.png"
] | null | 1,055 |
Question: Which two volcanoes are erupting?
Choices:
A. Volcanoes 1 and 2 B. Volcanoes 3 and 4 C. Volcanoes 1 and 4 D. Volcanoes 2 and 4
|
[
"\\boxed{D}"
] |
f5511526-4a41-45d7-b55d-4b85e33ea798
|
[
"images/f5511526-4a41-45d7-b55d-4b85e33ea798-0.png"
] | null | 1,056 |
Question: What is the smallest possible number of forest rangers that need to be assigned to towers so that each path can be seen by at least one forest ranger?
Choices:
A. 2 B. 3 C. 4 D. 5
|
[
"\\boxed{B}"
] |
8872723f-a1cc-4471-9c04-986c50aed761
|
[
"images/8872723f-a1cc-4471-9c04-986c50aed761-0.png"
] | null | 1,057 |
Question: If Beaver Currie used the same liquids in a fourth experiment, which of the following might be the result?
Choices:
A. B. C. D.
|
[
"\\boxed{A}"
] |
a220d014-e841-45a4-b97d-c19f36322216
|
[
"images/a220d014-e841-45a4-b97d-c19f36322216-0.png"
] | null | 1,058 |
Question: Which of the following could be Saoirse’s bag of coins after it was shaken?
Choices:
A. B. C. D.
|
[
"\\boxed{C}"
] |
e7246082-f62d-497c-b60f-ec98504e9de1
|
[
"images/e7246082-f62d-497c-b60f-ec98504e9de1-0.png"
] | null | 1,059 |
Question: Which symbol marks where the treasure is hidden?
Choices:
A. B. C. D.
|
[
"\\boxed{D}"
] |
297a754b-e144-4f22-abb2-98a28cdbdc64
|
[
"images/297a754b-e144-4f22-abb2-98a28cdbdc64-0.png"
] | null | 1,060 |
Question: Which student hid the erasers?
Choices:
A. Amélie B. Benin C. Cai D. Dahila
|
[
"\\boxed{D}"
] |
6c95ad60-9886-4f9c-b1bc-4bddec5ed6f9
|
[
"images/6c95ad60-9886-4f9c-b1bc-4bddec5ed6f9-0.png"
] | null | 1,061 |
Question: Suppose Ali chooses and changes exactly 3 of the 16 shapes in the following line,What is the length of the longest possible run that Ali can create?
Choices:
A. 4 B. 5 C. 6 D. 7
|
[
"\\boxed{C}"
] |
20e7f733-e33e-414c-a548-771e5867940c
|
[
"images/20e7f733-e33e-414c-a548-771e5867940c-0.png"
] | null | 1,062 |
Question: Which of the following gives the correct instruction for each symbol?
Choices:
A. B. C. D.
|
[
"\\boxed{B}"
] |
10425fde-deae-44da-a0fc-fddbcbefa331
|
[
"images/10425fde-deae-44da-a0fc-fddbcbefa331-0.png"
] | null | 1,063 |
Question: What is the shortest amount of time needed to remove all 11 dead leaves from this tree?
Choices:
A. 19 minutes B. 20 minutes C. 22 minutes D. 25 minutes
|
[
"\\boxed{B}"
] |
ca5a778c-37da-45d8-8fbd-3ce0be609465
|
[
"images/ca5a778c-37da-45d8-8fbd-3ce0be609465-0.png"
] | null | 1,064 |
Question: In which order did Ana pick up the sticks?
Choices:
A. B. C. D.
|
[
"\\boxed{C}"
] |
d312885b-87da-485b-91d4-bd56387e53bc
|
[
"images/d312885b-87da-485b-91d4-bd56387e53bc-0.png"
] | null | 1,065 |
Question: Which house cannot be built out of the following block sequence?
Choices:
A. B. C. D.
|
[
"\\boxed{D}"
] |
84f0395d-7ad6-4048-b30a-d18506e25d92
|
[
"images/84f0395d-7ad6-4048-b30a-d18506e25d92-0.png"
] | null | 1,066 |
Question: Which sequence of nuts and bolts, when processed from left-to-right, will not cause things to go wrong for Lana?
Choices:
A. B. C. D.
|
[
"\\boxed{C}"
] |
315560fc-3592-47e0-84a6-989dda30b58d
|
[
"images/315560fc-3592-47e0-84a6-989dda30b58d-0.png"
] | null | 1,067 |
Question: Which of the following combinations of buttons could the beavers stand on in order to win the game?
Choices:
A. 2, 3, 4, and 8 B. 1, 2, 5, and 6 C. 1, 2, 3, 5, 6, and 7 D. 1, 2, 4, and 8
|
[
"\\boxed{D}"
] |
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|
[
"images/336ee5ed-1f81-4a23-b6df-d96e1fde9cb3-0.png"
] | null | 1,068 |
Question: Which necklace below cannot be made by Bashir?
Choices:
A. B. C. D.
|
[
"\\boxed{D}"
] |
e148173d-bb25-4071-8b04-eaece4a434ac
|
[
"images/e148173d-bb25-4071-8b04-eaece4a434ac-0.png"
] | null | 1,069 |
Question: What is Mary’s house number?
Choices:
A. 5 B. 7 C. 4 D. 3
|
[
"\\boxed{C}"
] |
53906941-1787-43c3-8f80-a4a5a9a3bd47
|
[
"images/53906941-1787-43c3-8f80-a4a5a9a3bd47-0.png"
] | null | 1,070 |
Question: Which of the following is Dai’s second photo?
Choices:
A. B. C. D.
|
[
"\\boxed{C}"
] |
b916378f-f439-4197-84c3-a81443ee1748
|
[
"images/b916378f-f439-4197-84c3-a81443ee1748-0.png"
] | null | 1,071 |
Question: What is the shortest time needed for the beaver to reach cell B?
Choices:
A. 17 seconds B. 18 seconds C. 19 seconds D. 20 seconds
|
[
"\\boxed{B}"
] |
d88e22b4-7149-46d4-8aea-9fcdf4761499
|
[
"images/d88e22b4-7149-46d4-8aea-9fcdf4761499-0.png"
] | null | 1,072 |
Question: Suppose that a rectangular container is chosen for the Variety Pack so that the four drink crates can be packaged with the least possible amount of empty space on the base of the container. In this case, how many additional bottles would need to be placed in the container in order to fill the area of the base?
Choices:
A. 1 B. 2 C. 4 D. 6
|
[
"\\boxed{B}"
] |
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|
[
"images/001d56aa-7c91-41db-8551-f7f6ad67761f-0.png"
] | null | 1,073 |
Question: From left to right, what is the order in which Eabha has written these words?
Choices:
A. LETTUCE, ORANGES, BANANAS, BERRIES B. ORANGES, LETTUCE, BANANAS, BERRIES C. BERRIES, BANANAS, LETTUCE, ORANGES D. LETTUCE, ORANGES, BERRIES, BANANAS
|
[
"\\boxed{A}"
] |
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|
[
"images/eae1a3e5-5bac-41e2-9ac1-ef53a32b9a3b-0.png"
] | null | 1,074 |
Question: How many rounds will be needed to unload all the boxes from the following train?
Choices:
A. 5 B. 6 C. 7 D. 8
|
[
"\\boxed{C}"
] |
888b58ae-1a5e-42ee-b577-2f2582c13eee
|
[
"images/888b58ae-1a5e-42ee-b577-2f2582c13eee-0.png"
] | null | 1,075 |
Question: Then one more small package arrives. In which locker is it placed?
Choices:
A. 20 B. 19 C. 24 D. 17
|
[
"\\boxed{A}"
] |
ce80f72d-bf42-44d2-ba12-68071957fb90
|
[
"images/ce80f72d-bf42-44d2-ba12-68071957fb90-0.png"
] | null | 1,076 |
Question: In which of the following orders must Percy have visited the mailboxes?
Choices:
A. Gina -> Cato -> Leon -> Sue -> Theo B. Gina -> Sue -> Cato -> Theo -> Leon C. Gina -> Cato -> Sue -> Leon -> Theo D. Cato -> Gina -> Sue -> Leon -> Theo
|
[
"\\boxed{C}"
] |
00445af1-931f-4057-9098-b5b0ddb890f7
|
[
"images/00445af1-931f-4057-9098-b5b0ddb890f7-0.png"
] | null | 1,077 |
Question: A net of a cube is shown with one integer on each face.
A larger cube is constructed using 27 copies of this cube. What is the minimum possible sum of all of the integers showing on the six faces of the larger cube?
|
[
"\\boxed{90}"
] |
937c6c30-6823-4a6f-815c-99e2ecf0c8bb
|
[
"images/937c6c30-6823-4a6f-815c-99e2ecf0c8bb-0.png"
] | null | 1,078 |
Question: In the diagram, ABCD is a rectangle, P is on BC, Q is on CD, and R is inside ABCD. Also, ∠PRQ=30^{\circ}, ∠RQD=w^{\circ}, ∠PQC=x^{\circ}, ∠CPQ=y^{\circ}, and ∠BPR=z^{\circ}. What is the value of w+x+y+z?
|
[
"\\boxed{210}"
] |
87aac39a-1035-4692-9194-c5ba738b9b96
|
[
"images/87aac39a-1035-4692-9194-c5ba738b9b96-0.png"
] | null | 1,079 |
Question: On the map shown, there are a number of routes from Mathville to Algebratown.Each route must travel along the roads in the direction marked by the arrows. The total number of routes from Mathville to Algebratown is
Choices:
A. 3 B. 4 C. 8 D. 6 E. 10
|
[
"\\boxed{C}"
] |
2910c702-f847-48a6-8ef0-19f52fd4a570
|
[
"images/2910c702-f847-48a6-8ef0-19f52fd4a570-0.png"
] | null | 1,080 |
Question: A hexagonal prism has a height of 165 cm. Its two hexagonal faces are regular hexagons with sides of length 30 cm. Its other six faces are rectangles.A fly and an ant start at point \( X \) on the bottom face and travel to point \( Y \) on the top face. The fly flies directly along the shortest route through the prism. The ant crawls around the outside of the prism along a path of constant slope so that it winds around the prism exactly \( n + \frac{1}{2} \) times, for some positive integer \( n \). The distance crawled by the ant is more than 20 times the distance flown by the fly. What is the smallest possible value of \( n \)?
|
[
"\\boxed{19}"
] |
3ba5caac-076e-43c4-a83b-ac91624308e5
|
[
"images/3ba5caac-076e-43c4-a83b-ac91624308e5-0.png"
] | null | 1,081 |
Question: Cube \( ABCDEFGH \) has edge length 100. Point \( P \) is on \( AB \), point \( Q \) is on \( AD \), and point \( R \) is on \( AF \), as shown, so that \( AP = x \), \( AQ = x + 1 \), and \( AR = \frac{x+1}{2x} \) for some integer \( x \).For how many integers \( x \) is the volume of triangular-based pyramid \( APQR \) between 0.04% and 0.08% of the volume of cube \( ABCDEFGH \)? (The volume of a pyramid is equal to one-third of the area of its base times its height.)
|
[
"\\boxed{28}"
] |
4e722336-b796-4baa-8acb-d09dac3aeff1
|
[
"images/4e722336-b796-4baa-8acb-d09dac3aeff1-0.png"
] | null | 1,082 |
Question: A cylinder contains some water. A solid cone with the same height and half the radius of the cylinder is submerged into the water until the circular face of the cone lies flat on the circular base of the cylinder, as shown. Once this is done, the depth of the water is half of the height of the cylinder. If the cone is then removed, the depth of the water will be what fraction of the height of the cylinder?(The volume of a cylinder with radius \( r \) and height \( h \) is \( \pi r^2 h \) and the volume of a cone with radius \( r \) and height \( h \) is \( \frac{1}{3} \pi r^2 h \).)
Choices:
A. \( \frac{3}{16} \); B. \( \frac{41}{96} \); C. \( \frac{5}{16} \); D. \( \frac{3}{8} \); E. \( \frac{7}{16} \).
|
[
"\\boxed{B}"
] |
37ae83c3-b099-4e96-9f6d-4d1c6b5b426a
|
[
"images/37ae83c3-b099-4e96-9f6d-4d1c6b5b426a-0.png"
] | null | 1,083 |
Question: Narsa buys a package of 45 cookies on Monday morning. The bar graph shows the number of cookies that Narsa eats each day from Monday to Friday.How many cookies are left in the package after Friday?
Choices:
A. 45 B. 25 C. 20 D. 15 E. 12
|
[
"\\boxed{D}"
] |
a8a70548-fc75-4ad8-a17a-cb59de3a361a
|
[
"images/a8a70548-fc75-4ad8-a17a-cb59de3a361a-0.png"
] | null | 1,084 |
Question: Two long, identical bar magnets are placed under a horizontal piece of paper, as shown in the figure above. The paper is covered with iron filings. When the two north poles are a small distance apart and touching the paper, the iron filings move into a pattern that shows the magnetic field lines. Which of the following best illustrates the pattern that results?
Choices:
A
B
C
D
E
|
[
"\\boxed{B}"
] |
712c639d-6ffb-4397-bcce-939de8c2b98c
|
[
"images/712c639d-6ffb-4397-bcce-939de8c2b98c-0.png"
] | null | 1,085 |
Question: An object is located 40 centimeters from the first of two thin converging lenses of focal lengths 20 centimeters and 10 centimeters, respectively, as shown in the figure above. The lenses are separated by 30 centimeters. The final image formed by the two-lens system is located
Choices:
A. 5.0 cm to the right of the second lens
B. 13.3 cm to the right of the second lens
C. infinitely far to the right of the second lens
D. 13.3 cm to the left of the second lens
E. 100 cm to the left of the second lens
|
[
"\\boxed{A}"
] |
0c243abb-1d12-40fc-83d2-09a20e688fd3
|
[
"images/0c243abb-1d12-40fc-83d2-09a20e688fd3-0.png"
] | null | 1,086 |
Question: Seven pennies are arranged in a hexagonal, planar pattern so as to touch each neighbor, as shown in the figure above. Each penny is a uniform disk of mass m and radius r. What is the moment of inertia of the system of seven pennies about an axis that passes through the center of the central penny and is normal to the plane of the pennies?
Choices:
A. (\frac{7}{2}) mr^{2}
B. (\frac{13}{2})mr^{2}
C. (\frac{29}{2})mr^{2}
D. (\frac{49}{2})mr^{2}
E. (\frac{55}{2})mr^{2}
|
[
"\\boxed{E}"
] |
d82e43af-df9f-4d63-83ff-5c4bf9ddc83e
|
[
"images/d82e43af-df9f-4d63-83ff-5c4bf9ddc83e-0.png"
] | null | 1,087 |
Question: A thin uniform rod of mass M and length L is positioned vertically above an anchored frictionless pivot point, as shown above, and then allowed to fall to the ground. With what speed does the free end of the rod strike the ground?
Choices:
A. \sqrt{\frac{1}{3}gL}
B. \sqrt{gL}
C. \sqrt{3gL}
D. \sqrt{12gL}
E. 12\sqrt{gL}
|
[
"\\boxed{C}"
] |
c816925c-81a8-41d5-9ec2-be6d41549981
|
[
"images/c816925c-81a8-41d5-9ec2-be6d41549981-0.png"
] | null | 1,088 |
Question: A constant amount of an ideal gas undergoes the cyclic process ABCA in the PV diagram shown above. The path BC is isothermal. The work done by the gas during one complete cycle, beginning and ending at A, is most nearly
Choices:
A. 600 kJ
B. 300 kJ
C. 0
D. -300 kJ
E. -600 kJ
|
[
"\\boxed{D}"
] |
f57c828b-fafb-406d-8df4-7ec58c95347e
|
[
"images/f57c828b-fafb-406d-8df4-7ec58c95347e-0.png"
] | null | 1,089 |
Question: Three wire loops and an observer are positioned as shown in the figure above. From the observer’s point of view, a current I flows counterclockwise in the middle loop, which is moving towards the observer with a velocity u . Loops A and B are stationary. This same observer would notice that
Choices:
A. clockwise currents are induced in loops A and B
B. counterclockwise currents are induced in loops A and B
C. a clockwise current is induced in loop A, but a counterclockwise current is induced in loop B
D. a counterclockwise current is induced in loop A, but a clockwise current is induced in loop B
E. a counterclockwise current is induced in loop A, but no current is induced in loop B
|
[
"\\boxed{C}"
] |
af937138-0c67-4465-aea5-2fa48e3f0506
|
[
"images/af937138-0c67-4465-aea5-2fa48e3f0506-0.png"
] | null | 1,090 |
Question: The conventional unit cell of a body-centered cubic Bravais lattice is shown in the figure above. The conventional cell has volume a3 . What is the volume of the primitive unit cell?
Choices:
A. \frac{a^{3}}{8}
B. \frac{a^{3}}{4}
C. \frac{a^{3}}{2}
D. a^{3}
E. 2 a^{3}
|
[
"\\boxed{C}"
] |
5dca068b-6321-4ca9-a989-6c741394e926
|
[
"images/5dca068b-6321-4ca9-a989-6c741394e926-0.png"
] | null | 1,091 |
Question: As shown in the figure, there are two concentric uniformly charged spherical surfaces. The inner surface carries charge Q_1, and the outer surface carries charge Q_2. Then at point P, which is between the two surfaces and at a distance r from the center, the magnitude of the electric field E is:
Choices:
A. \frac{Q_1}{4\pi \varepsilon_0 r^{2}}
B. \frac{Q_1+Q_2}{4\pi \varepsilon_0 r^{2}}
C. \frac{Q_2}{4\pi \varepsilon_0 r^{2}}
D. \frac{Q_2-Q_1}{4\pi \varepsilon_0 r^{2}}
|
[
"\\boxed{A}"
] |
bbd03404-0856-4b90-936a-fcbf5a6ef5f9
|
[
"images/bbd03404-0856-4b90-936a-fcbf5a6ef5f9-0.png"
] | null | 1,092 |
Question: If the uniform electric field strength is \(\vec{E}\), and its direction is parallel to the axis of a hemisphere with radius \(R\), as shown in the figure, then the electric flux \(\Phi_e\) through this hemisphere is
Choices:
A. \(\pi R^{2}E\)
B. \(2\pi R^{2}E\)
C. \(\frac{1}{2} \pi R^{2}E\)
B. \(\sqrt{2}\pi R^{2}E\)
|
[
"\\boxed{A}"
] |
aaa36526-1265-4eaf-8ba0-cb3c5be186f4
|
[
"images/aaa36526-1265-4eaf-8ba0-cb3c5be186f4-0.png"
] | null | 1,093 |
Question: As shown in the figure, the capacitances C_1, C_2, and C_3 are known, and the capacitance C is adjustable. When adjusted so that the potentials at points A and B are equal, the capacitance C equals
|
[
"\\boxed{\\frac{C_{2}C_{3}}{C_1}}"
] |
2b7d454e-cca1-4318-9523-d9e8b6945187
|
[
"images/2b7d454e-cca1-4318-9523-d9e8b6945187-0.png"
] | null | 1,094 |
Question: The figure shows the waveform of a plane harmonic wave propagating in the negative direction of the x-axis at time t = 0. If the wave is expressed with a cosine function, the initial phase of the particle vibration at point O is:
|
[
"\\boxed{\\(\\frac{3}{2}\\pi\\)}"
] |
a2a09c02-04d9-4c61-bd47-9d342febed21
|
[
"images/a2a09c02-04d9-4c61-bd47-9d342febed21-0.png"
] | null | 1,095 |
Question: The phase of \( x_1 \) is ... compared to the phase of \( x_2 \).
Choices:
A. Lag \(\frac{\pi}{2}\)
B. Lead \(\frac{\pi}{2}\)
C. Lag \(\pi\)
D. Lead \(\pi\)
|
[
"\\boxed{B}"
] |
55f25eb5-6ad6-4dc8-b505-1820f96fa369
|
[
"images/55f25eb5-6ad6-4dc8-b505-1820f96fa369-0.png"
] | null | 1,096 |
Question: A spring oscillator, when placed horizontally, can perform simple harmonic motion. If it is placed vertically or on a fixed smooth inclined plane, try to determine which of the following situations is correct:
Choices:
A. Placed vertically, it can perform simple harmonic motion; placed on a smooth inclined plane, it cannot perform simple harmonic motion
B. Placed vertically, it cannot perform simple harmonic motion; placed on a smooth inclined plane, it can perform simple harmonic motion
C. In both cases, it can perform simple harmonic motion
D. In both cases, it cannot perform simple harmonic motion
|
[
"\\boxed{C}"
] |
bca2a6b1-80c2-4fac-9525-b676ca3cd2ab
|
[
"images/bca2a6b1-80c2-4fac-9525-b676ca3cd2ab-0.png"
] | null | 1,097 |
Question: Let the two curves shown represent the speed distribution curves of oxygen and hydrogen molecules at the same temperature; let (v_p)_{O_{2}} and (v_p)_{H_{2}} represent the most probable speeds of oxygen and hydrogen respectively, then:
Choices:
A. In the figure, a represents the speed distribution curve of oxygen molecules; (v_p)_{O_{2}} / (v_p)_{H_{2}} = 4
B. In the figure, a represents the speed distribution curve of oxygen molecules; (v_p)_{O_{2}} / (v_p)_{H_{2}} = 1/4
C. In the figure, b represents the speed distribution curve of oxygen molecules; (v_p)_{O_{2}} / (v_p)_{H_{2}} = 1/4
D. In the figure, b represents the speed distribution curve of oxygen molecules; (v_p)_{O_{2}} / (v_p)_{H_{2}} = 4
|
[
"\\boxed{B}"
] |
227a1461-409a-4757-9b5c-7555e1118802
|
[
"images/227a1461-409a-4757-9b5c-7555e1118802-0.png"
] | null | 1,098 |
Question: The efficiencies of the two Carnot engines are equal.
Choices:
A. The efficiency of the two heat engines must be equal
B. The heat absorbed by the two heat engines from the high-temperature reservoir must be equal
C. The heat released by the two heat engines to the low-temperature reservoir must be equal
D. The difference in absolute value between the heat absorbed and released by the two heat engines must be equal
|
[
"\\boxed{D}"
] |
9a288ff2-535d-4288-ac88-8ab1fa15db83
|
[
"images/9a288ff2-535d-4288-ac88-8ab1fa15db83-0.png"
] | null | 1,099 |
Question: The two Carnot cycles shown in the figure, the first proceeding along ABCDA, and the second along ABC'D'A, have efficiency relations \(\eta_1\) and \(\eta_2\) and net work done by these two cycles \(W_1\) and \(W_2\) is
Choices:
A. \(\eta_1=\eta_2, W_1=W_2\)
B. \(\eta_1>\eta_2, W_1=W_2\)
C. \(\eta_1=\eta_2, W_1>W_2\)
D. \(\eta_1=\eta_2, W_1<W_2\)
|
[
"\\boxed{D}"
] |
85140eeb-4db6-47c4-9f44-c07e66cfad00
|
[
"images/85140eeb-4db6-47c4-9f44-c07e66cfad00-0.png"
] | null | 1,100 |
Question: As shown in the figure, assuming an object slides down along the arc-shaped track on a vertical plane, the track is smooth. During the sliding process from A to C, which of the following statements is correct?
Choices:
A. Its acceleration magnitude remains constant, always pointing towards the center of the circle
B. Its speed uniformly increases
C. The magnitude of its net external force changes, always pointing towards the center of the circle
D. The magnitude of its net external force remains constant
E. The magnitude of the orbital support force continuously increases
|
[
"\\boxed{E}"
] |
8693a4ae-8991-4422-a7a5-dc1c8608df40
|
[
"images/8693a4ae-8991-4422-a7a5-dc1c8608df40-0.png"
] | null | 1,101 |
Question: The upright cylindrical rotating drum has a radius of R and rotates around the central axis OO'. The block A is pressed against the inner wall of the cylinder. The coefficient of friction between the block and the cylinder is μ. To prevent the block A from falling, the angular velocity ω of the rotating drum should be at least
Choices:
A. \sqrt{\frac{\mu g}{R}}
B. \sqrt{\mu g}
C. \sqrt{\frac{g}{\mu R}}
D. \sqrt{\frac{g}{R}}
|
[
"\\boxed{C}"
] |
0ebfe408-71a3-4824-92c6-4ea4741682c9
|
[
"images/0ebfe408-71a3-4824-92c6-4ea4741682c9-0.png"
] | null | 1,102 |
Question: The masses of two wooden blocks A and B are m_A and m_B respectively, with m_B = 2m_A. They are connected by a light spring and rest on a smooth horizontal table as shown in the figure. If an external force compresses the spring by pushing the two blocks closer and then the force is removed, the ratio of the kinetic energies of the two blocks in motion E_{KA}/E_{KB} is
Choices:
A. \(\frac{1}{2}\)
B. \(\frac{\sqrt{2}}{2}\)
C. \(\sqrt{2}\)
D. 2
|
[
"\\boxed{D}"
] |
99c415de-ecf4-4172-8c28-55db738dd869
|
[
"images/99c415de-ecf4-4172-8c28-55db738dd869-0.png"
] | null | 1,103 |
Question: As shown in the figure, sand falls from a height of h = 0.8 m onto a conveyor belt moving horizontally to the right at a speed of 3 m/s. Given the gravitational acceleration g = 10 m/s², the direction of the force exerted by the conveyor belt on the sand that has just fallen onto it is
Choices:
A. At a 53° angle downward from the horizontal
B. At a 53° angle upward from the horizontal
C. At a 37° angle upward from the horizontal
D. At a 37° angle downward from the horizontal
|
[
"\\boxed{B}"
] |
3588d7e9-3ca2-4be3-bcc6-b3dcc0494392
|
[
"images/3588d7e9-3ca2-4be3-bcc6-b3dcc0494392-0.png"
] | null | 1,104 |
Question: The mass of the particle is m, placed at the vertex A of a smooth spherical surface (the surface is fixed), as shown in the figure. When it starts sliding from rest to point B on the spherical surface, the magnitude of its acceleration is
Choices:
A. a=2g(1-cos\theta)
B. a=gsin\theta
C. a=g
D. a=\sqrt{4g^{2}(1-cos\theta)^{2}+g^{2}sin^{2}\theta}
|
[
"\\boxed{D}"
] |
b6da33be-6739-43c2-a758-8af6128478e5
|
[
"images/b6da33be-6739-43c2-a758-8af6128478e5-0.png"
] | null | 1,105 |
Question: The height of the lamp from the ground is \( h_1 \), a person with a height of \( h_2 \) walks at a constant speed \( v \) along a horizontal line under the lamp, as shown in the figure. The speed at which the shadow of the top of his head, point M, moves along the ground is \( v_M = \)
|
[
"\\boxed{\\frac{h_1 v}{h_1-h_2}}"
] |
263515c5-ff8b-4c26-bd02-4987897b3cec
|
[
"images/263515c5-ff8b-4c26-bd02-4987897b3cec-0.png"
] | null | 1,106 |
Question: Jonas as 1728 copies of a \(1 \times 1 \times 1\) cube with the net shown, where \(c\) is a positive integer and \(c < 100\). Using these 1728 cubes, Jonas builds a large \(12 \times 12 \times 12\) cube in such a way that the sum of the numbers on the exterior faces is as large as possible. For some values of c, the sum of the numbers on the exterior faces is between 80000 and 85000. The number of such values of \(c\) is
Choices:
A. \(39\)
B. \(38\)
C. \(37\)
D. \(36\)
E. \(35\)
|
[
"\\boxed{C}"
] |
76772500-2d3b-46b6-91cc-31bf496b526a
|
[
"images/76772500-2d3b-46b6-91cc-31bf496b526a-0.png"
] | null | 1,107 |
Question: Which of the following circle graphs best represents the information in the bar graph shown?
Choices:
A
B
C
D
E
|
[
"\\boxed{E}"
] |
3edb574e-7278-42b0-8f1e-a93a74c4d7dc
|
[
"images/3edb574e-7278-42b0-8f1e-a93a74c4d7dc-0.png"
] | null | 1,108 |
Question: Jonas builds a large \(n\times n\times n\) cube using \(1\times 1 \times 1\) cubes each having the net shown. What is the smallest value of \(n\) for which the sum of the exterior faces of the \(n\times n\times n\) cube can be greater than \(1500\)?
Choices:
A. \(9\)
B. \(11\)
C. \(12\)
D. \(13\)
E. \(16\)
|
[
"\\boxed{D}"
] |
3e899953-ac8f-45e9-98b4-aa524c3e2e9e
|
[
"images/3e899953-ac8f-45e9-98b4-aa524c3e2e9e-0.png"
] | null | 1,109 |
Question: The graph shows the number of hours that Gabe spent riding his bike from Monday to Friday. The day on which Gabe spent the greatest number of hours riding his bike is
Choices:
A. \(46\)
B. \(22\)
C. \(36\)
D. \(42\)
E. \(54\)
|
[
"\\boxed{A}"
] |
5eea077a-1edd-44c6-951e-0ef28661f22c
|
[
"images/5eea077a-1edd-44c6-951e-0ef28661f22c-0.png"
] | null | 1,110 |
Question: A closed rectangular prism with height 8 cm is standing on a face with dimensions 2 cm by 5 cm. The prism contains water with a depth of 6 cm, as shown.
When the prism is tipped so that it stands on a face with the greatest area, the depth of the water is
Choices:
A. \(0.75\text{ cm}\)
B. \(1 \text{cm}\)
C. \(1.25\text{ cm}\)
D. \(1.5\text{ cm}\)
E. \(1.75\text{ cm}\)
|
[
"\\boxed{D}"
] |
2174fc80-28be-4231-8d3b-142e4714d633
|
[
"images/2174fc80-28be-4231-8d3b-142e4714d633-0.png"
] | null | 1,111 |
Question: The graph shows the forecast wind speed (in km/h) during a 7-day period.
Jack can sail alone only when the forecast wind speed is less than 20 km/h. During this 7-day period, on how many days will Jack be able to sail alone?
Choices:
A. \(4\)
B. \(6\)
C. \(1\)
D. \(2\)
E. \(5\)
|
[
"\\boxed{A}"
] |
4d7c3767-5c1f-4201-93f1-33fd7736b283
|
[
"images/4d7c3767-5c1f-4201-93f1-33fd7736b283-0.png"
] | null | 1,112 |
Question: In the addition shown, \(P\) and \(Q\) are each equal to a digit.
The value of \(P+Q\) is
Choices:
A. \(4\)
B. \(1\)
C. \(0\)
D. \(3\)
E. \(5\)
|
[
"\\boxed{B}"
] |
15c14a80-520f-4660-b1dd-d8aefccf23c4
|
[
"images/15c14a80-520f-4660-b1dd-d8aefccf23c4-0.png"
] | null | 1,113 |
Question: Students at Gauss Middle School were asked to choose their favourite school day. The results are shown in the circle graph.
Which day was chosen by exactly one-quarter of the students?
Choices:
A. Monday
B. Tuesday
C. Wednesday
D. Thursday
E, Friday
|
[
"\\boxed{C}"
] |
e84000bd-4cce-43c2-9b02-42fd8061b810
|
[
"images/e84000bd-4cce-43c2-9b02-42fd8061b810-0.png"
] | null | 1,114 |
Question: Five different integers are selected from \(1\) to \(6\) and one integer is placed into each of the five squares shown.
The integers are placed so that the sum of the three integers in the vertical column is \(7\), and the sum of the three integers in the horizontal row is \(11\). Which integer does not appear in any square?
Choices:
A. \(3\)
B. \(4\)
C. \(2\)
D. \(6\)
E. \(5\)
|
[
"\\boxed{E}"
] |
c6013f87-2e1f-4234-aec1-9494aa3f9ee7
|
[
"images/c6013f87-2e1f-4234-aec1-9494aa3f9ee7-0.png"
] | null | 1,115 |
Question: Ryan recorded the distance, in kilometres, that he ran on each day from Monday to Friday, as shown.
The total distance that Ryan ran over the five days is
Choices:
A. \(14 \text{ km}\)
B. \(16 \text{ km}\)
C. \(18 \text{ km}\)
D. \(20 \text{ km}\)
E. \(22 \text{ km}\)
|
[
"\\boxed{D}"
] |
197738f1-b67c-40d7-843f-3233379de8a5
|
[
"images/197738f1-b67c-40d7-843f-3233379de8a5-0.png"
] | null | 1,116 |
Question: In the diagram, \(\angle ABC\) is a straight angle.
The value of \(x\) is
Choices:
A. \(80\)
B. \(65\)
C. \(75\)
D. \(70\)
E. \(60\)
|
[
"\\boxed{D}"
] |
f2249a20-10e6-42d5-bb17-31c29c3dbec2
|
[
"images/f2249a20-10e6-42d5-bb17-31c29c3dbec2-0.png"
] | null | 1,117 |
Question: A figure is constructed using fourteen \(1\times 1\times 1\) cubes. Nine of the \(1\times 1\times 1\) cubes are used to make the bottom layer and five additional \(1\times 1\times 1\) cubes are positioned on top of the bottom layer. The figure is shown from two different perspectives.
An ant begins at \(P\) and walks a distance \(d\) on the surface of the figure to arrive at \(Q\). The smallest possible value of \(d\) is closest to
Choices:
A. \(6.43\)
B. \(6.40\)
C. \(6.71\)
D. \(6.66\)
E. \(6.48\)
|
[
"\\boxed{B}"
] |
2a8fc014-1884-4826-9aed-e5af01e10361
|
[
"images/2a8fc014-1884-4826-9aed-e5af01e10361-0.png"
] | null | 1,118 |
Question:
A student made some measurements on the electrical circuit with the help of the battery (1),
resistance box (2), switch (3), ammeter (4), and voltmeter (5). According to the indicators shown
in the picture below, determine the electromotive force of the battery. The readings of the
voltmeter and the ammeter are in volts and amperes respectively. The voltmeter and the
ammeter are working ideally.
Choice:
A. \( \varepsilon = 2.9 \, \text{V} \)
B. \( \varepsilon = 3.4 \, \text{V} \)
C. \( \varepsilon = 3.8 \, \text{V} \)
D. \( \varepsilon = 5.8 \, \text{V} \)
|
[
"\\boxed{C}"
] |
432b5ae1-edaf-4736-b554-d8e5896fde7a
|
[
"images/432b5ae1-edaf-4736-b554-d8e5896fde7a-0.png"
] | null | 1,119 |
Question:
Which letter(s) represents omnivores in the food web below?
Choices:
A. A and B
B. C
C. D
D. B
|
[
"\\boxed{B}"
] |
c947963d-f157-4ed2-80b4-9b3bee720ac5
|
[
"images/c947963d-f157-4ed2-80b4-9b3bee720ac5-0.png"
] | null | 1,120 |
Question: When the switch is closed, the bulb in the set up above will light if:
Choice:
A. Y is section of an orange fruit
B. Y is a section of dried avocado pear
C. Y is distilled water
D. Y is a beaker of 95% ethanol
|
[
"\\boxed{A}"
] |
3ea59317-606e-46f5-a06b-8bd754b245a2
|
[
"images/3ea59317-606e-46f5-a06b-8bd754b245a2-0.png"
] | null | 1,121 |
Question: The amount of DNA present per cell at different stages during several nuclear divisions is represented in Figure 1.
What type of nuclear division is represented by Figure 1 above
Choice:
A. Mitosis
B. Meiosis
C. Cytokinesis
D. None of the above.
|
[
"\\boxed{B}"
] |
01c8153d-4c8e-4582-b7fc-e6c5ffc141a1
|
[
"images/01c8153d-4c8e-4582-b7fc-e6c5ffc141a1-0.png"
] | null | 1,122 |
Question: The world class Moses Mabhida football stadium situated in Durban has a
symmetrical arc of length 350 m and a height of 106 m, as shown in the picture
below on the left.The picture on the right shows a funicular (Skycar), which takes tourists to the top of
the arc. Suppose that the Skycar with tourists inside, starts from the base of the arc
and travels a distance of 175 m along the arc to the viewing platform at the top.
Assume that the work done by friction during the Skycar’s complete ascent is
5.8 × 10^5 J. If the combined mass of the Skycar and tourists is 5000 kg, then the
work done by the motor that lifts the Skycar is approximately equal to,
Choice:
A. \( 4.6 \times 10^6 \, \text{J} \)
B. \( 5.8 \times 10^6 \, \text{J} \)
C. \( 8.0 \times 10^6 \, \text{J} \)
D. \( 9.2 \times 10^6 \, \text{J} \)
|
[
"\\boxed{B}"
] |
9ad03774-6402-4fcf-a820-6d521cd43710
|
[
"images/9ad03774-6402-4fcf-a820-6d521cd43710-0.png"
] | null | 1,123 |
Question: The diagram shows a circuit consisting of three identical resistors, \( P, Q \) and \( R \), each of resistance \( 4.0 \, \Omega \) and connected as shown. If \( 3.0 \, \text{A} \) of current flows into point \( X \) in the circuit and \( 3.0 \, \text{A} \) flows out at point \( Y \), then the power generated by resistor \( R \) is approximately.
Choice:
A. 36 W
B. 4.0 W
C. 16 W
D. 9.0 W
|
[
"\\boxed{C}"
] |
dbdb6afa-c82b-43ce-8ce8-e5d397e28ed9
|
[
"images/dbdb6afa-c82b-43ce-8ce8-e5d397e28ed9-0.png"
] | null | 1,124 |
Question: An oil layer which is 9 cm deep lies above a depth of water. A uniform cylinder of wood of length 25 cm is floating vertically upright in the two liquids as shown in the diagram. If 5 cm of the wooden cylinder lies above the oil surface, what is the density of the wood?
(The density of the oil is 0.9 g cm\(^{-3}\) and density of water is 1.0 g cm\(^{-3}\).)
Choice:
AA. \( 0.76 \, \text{g cm}^{-3} \)
B. \( 0.66 \, \text{g cm}^{-3} \)
C. \( 0.80 \, \text{g cm}^{-3} \)
D. \( 0.70 \, \text{g cm}^{-3} \)
|
[
"\\boxed{A}"
] |
8e0f718b-4771-410e-935c-1f5e8c6aeb24
|
[
"images/8e0f718b-4771-410e-935c-1f5e8c6aeb24-0.png"
] | null | 1,125 |
Question: In a conductometric titration experiment, a solution of 0.1 M Ba(OH)? is titrated against a solution of 0.1 M MgSO?, and the conductance of the mixture is continuously measured. The correct variation of conductance of the reaction mixture with the titration volume of MgSO? is best represented by.
Choice:
A
B
C
D
|
[
"\\boxed{C}"
] |
2970329d-1094-40fe-85b8-ce0131e9e521
|
[
"images/2970329d-1094-40fe-85b8-ce0131e9e521-0.png"
] | null | 1,126 |
Question: The phase diagram (pressure against temperature) for a substance S is given below.Consider the following statements for the substance S:
(i) at point 1, solid S can spontaneously convert to gaseous S but not to liquid S.
(ii) at point 2, liquid S can be in equilibrium with gaseous S.
(iii) at point 3, liquid S can start boiling to gaseous S.
(iv) at point 4, S is in liquid state.
Which of the following is correct for the substance S?
Choice:
A. Statements (ii) and (iv) are correct.
B. Statements (i) and (ii) are correct.
C. Statements (i) and (iii) are correct.
D. Statements (iii) and (iv) are correct.
|
[
"\\boxed{B}"
] |
44ef9aac-c441-41f0-8206-a4a2968294c3
|
[
"images/44ef9aac-c441-41f0-8206-a4a2968294c3-0.png"
] | null | 1,127 |
Question: The following is the pedigree of a family from a marriage between first cousins. Males are represented by squares and females by circles. The family has a very rare X-linked trait. Out of their progeny (individuals 1, 2, 3 in the figure), individual 3, who expressed this trait, married outside the family to individual 4, who is not a carrier of this trait.
Consider the following statements regarding the above trait:
(i) The trait is recessive.
(ii) The trait is dominant.
(iii) The probability that the daughter (individual 2) is a carrier is 0.
(iv) The probability that the daughter (individual 2) is a carrier is 1.
(v) The probability that a son born to individuals 3 and 4 will express the trait is 0.
(vi) The probability that a son born to individuals 3 and 4 will express the trait is 0.5.
Choice:
A. (i), (iii) and (vi)
B. (i), (iv) and (v)
C. (ii), (iii) and (vi)
D. (ii), (iv) and (v)
|
[
"\\boxed{B}"
] |
4b16f5da-51af-450c-bd8a-910ddcedce4b
|
[
"images/4b16f5da-51af-450c-bd8a-910ddcedce4b-0.png"
] | null | 1,128 |
Question: An opaque hemisphere of radius \( R \) lies on a horizontal plane as shown in the figure below.On the perpendicular through the point of contact, a point source of light \( S \) is placed at a distance \( \frac{3R}{4} \) above the centre of the hemisphere. A transparent liquid of refractive index \( \frac{4}{3} \) is filled above the plane such that the hemisphere is just covered with the liquid. The area of the shadow on the horizontal plane is
Choice
A. \( \frac{49\pi R^2}{9} \)
B. \( \frac{49\pi R^2}{16} \)
C. \( \pi R^2 \)
D. \( 4\pi R^2 \)
|
[
"\\boxed{B}"
] |
d672e9b6-54cc-4b4e-9ba7-04ef789d4772
|
[
"images/d672e9b6-54cc-4b4e-9ba7-04ef789d4772-0.png"
] | null | 1,129 |
Question: Hemoglobin may become abnormal by a mutation in the β chain of the normal protein thereby forming insoluble superpolymers that precipitate and generate sickle-shaped erythrocytes (Figure 7).
The synthesis of abnormal hemoglobin type "S" (Hb S) is governed by a recessive allele. Two parents are heterozygous for sickle-shaped erythrocytes. The percentage chance of genotypes in their offspring is:
Choice:
A. 50% heterozygous and 50% recessive homozygous
B. 50% heterozygous and 50% dominant homozygous
C. 25% dominant homozygous, 25% recessive homozygous, 50 % heterozygous
D. 25% dominant homozygous, 50% recessive homozygous, 25% heterozyg
|
[
"\\boxed{C}"
] |
e536f6ba-0f2a-4c8b-9706-611c199babf0
|
[
"images/e536f6ba-0f2a-4c8b-9706-611c199babf0-0.png"
] | null | 1,130 |
Question: 3. The atmospheric pressure at sea level is called normal pressure. The concentration of oxygen (O?) under these conditions is 20.9 %v/v, so that the partial pressure of oxygen (pO?) is 21.2 kPa. For the human body this concentration is sufficient to saturate the hemoglobin in blood. As one climbs the Aconcagua, the atmospheric pressure decreases, while the fraction of O? and all other gases remain constant.
Figure 2 represents the percentage change of atmospheric pressure as a function of altitude.
Knowing that Mount Aconcagua has a maximum altitude of 6 962 m a.s.l. (consider
7000 m), the pO2 at the summit will be:
Choice:
A. 44.00 kPa
B. 9.33 kPa
C. 21.00 kPa
D. 0.44 kPa
|
[
"\\boxed{B}"
] |
a8472919-fb35-43f3-8334-cc41a35ae722
|
[
"images/a8472919-fb35-43f3-8334-cc41a35ae722-0.png"
] | null | 1,131 |
Question: Consider the circuit shown in Figure 9. If the resistance of each edge of the cube is R, the resistance between
points a and h is:
Choice:
A. 12R
B. (5/6)R
C. R
D. (3/2)R
|
[
"\\boxed{B}"
] |
d1f66d25-684a-4c45-8097-0c5f1f1da579
|
[
"images/d1f66d25-684a-4c45-8097-0c5f1f1da579-0.png"
] | null | 1,132 |
Question: A person takes a picture of a waterweed in a fishbowl using a camera with a convex lens. The fishbowl is filled with water of which the refractive index is 43 . When the film, lens, and waterweed are positioned as shown in the figure below, a clear image of the waterweed is recorded on the film.What is the focal length of the convex lens?
Choice
A. 8.0 cm
B. \(\frac{50}{6}\) cm
C. \(\frac{110}{13}\) cm
D. 9.0 cm
|
[
"\\boxed{A}"
] |
f14bd591-5c13-4f1f-a074-1b75d40a336f
|
[
"images/f14bd591-5c13-4f1f-a074-1b75d40a336f-0.png"
] | null | 1,133 |
Question: Twenty flies are placed in each of the four sealed glass tubes (I –IV). While tubes I and II are partly covered with foil to protect from exposure to light, tubes III and IV are not covered. The numbers inside each tube of experiments 1 and 2 show the distribution of the flies immediately after the exposure to red light and blue light, respectively.Which of the following statements about the experiments is NOT correct?
Choice
A. The experiments are testing the response of the flies to red light, blue light and gravity.
B. Tubes II and IV are serving as the controls for the light variable.
C. Experiment 1 shows that flies respond to gravity, but not to red light.
D. From experiments 1 and 2, it can be concluded that flies respond to blue light, but not to red light.
|
[
"\\boxed{B}"
] |
f0a85510-fd89-4efa-a0b5-514f28bf8c6a
|
[
"images/f0a85510-fd89-4efa-a0b5-514f28bf8c6a-0.png"
] | null | 1,134 |
Question: A U-shaped tube with a semipermeable membrane was filled with 2 L of water as shown in figure I. When 0.1 mol of \( X \) was completely dissolved in the right arm of the tube, the level of \( X(aq) \) solution has risen as shown in figure II. (Only water can pass through the membrane.)
Which of the following \( X \) would give the SECOND greatest \( h \)?
Choice
A. \( \text{MgSO}_4 \)
B. \( \text{CH}_3\text{COOH} \)
C. \( \text{CaCl}_2 \)
D. Sugar
|
[
"\\boxed{A}"
] |
7d773a20-d5fe-4e4b-9a9f-4c52d2ef0a97
|
[
"images/7d773a20-d5fe-4e4b-9a9f-4c52d2ef0a97-0.png"
] | null | 1,135 |
Question:A civil engineer wishes to design a curved exit ramp for a highway in such a way that a car will not have to rely on friction to round the curve without skidding. In other words, a car moving at the designated speed can negotiate the curve even when the road is covered with ice. Such a ramp is usually banked; this means that the roadway is tilted toward the inside of the curve with the angle \(\theta\) as shown in the following Figure.Suppose the designated speed for the ramp is 13.4 m/s and the radius of the curve is 50.0 m, at what angle \(\theta\) should the curve be banked? (Acceleration due to gravity = 9.80 m/s\(^2\))
Choices:
A. 13.5\(^\circ\)
B. 17.9\(^\circ\)
C. 20.1\(^\circ\)
D. 28.3\(^\circ\)
|
[
"\\boxed{C}"
] |
7dcb1e8b-1c15-4735-bdaa-b90a1484e7e7
|
[
"images/7dcb1e8b-1c15-4735-bdaa-b90a1484e7e7-0.png"
] | null | 1,136 |
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