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In a scale drawing for a garden, 2 cm = 1 m. If the garden measures 8 cm by 10 cm in the drawing, how large will it be in reality?
- A. 2 m by 3 m
- B. 4 m by 5 m
- C. 8 m by 10 m
- D. 16 m by 20 m
Correct Answer: C
Rationale: In the scale drawing, 2 cm represents 1 m. To find the actual dimensions of the garden in reality, we need to multiply the dimensions in the drawing by the scale factor. So, 8 cm x 2 = 16 cm in reality (length) and 10 cm x 2 = 20 cm in reality (width). Converting these to meters, the garden will be 16 m by 20 m. Choices A, B, and D are incorrect because they do not correctly apply the scale factor to determine the actual dimensions of the garden.
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What is 35% of 70?
- A. 17.5
- B. 24.5
- C. 35
- D. 50
Correct Answer: B
Rationale: To find 35% of a number, you multiply the number by 0.35. In this case, 35% of 70 is calculated as 70 x 0.35 = 24.5. Choice A (17.5) is incorrect because it represents 25% of 70. Choice C (35) is incorrect as it is the percentage itself, not the result of the calculation. Choice D (50) is incorrect as it does not represent the result of finding 35% of 70.
Sergeant Kellogg had his men line up at 3:40 P.M. What would that be in military time?
- A. 340
- B. 3040
- C. 1500
- D. 1540
Correct Answer: D
Rationale: In military time, the 24-hour clock is used. 3:40 P.M. in standard time would be 1540 in military time. To convert from standard time to military time, you keep the hour number the same for afternoon and evening hours but add 12 to afternoon hours. Choice A (340) is incorrect as it doesn't follow the military time format. Choice B (3040) is incorrect as military time uses a maximum of four digits. Choice C (1500) is incorrect as it represents 3:00 P.M. in military time, not 3:40 P.M.
What is the result of the addition: 34 + 4 + 234?
- A. 70.2
- B. 230.72
- C. 234.74
- D. 272
Correct Answer: D
Rationale: Adding the given numbers together: 34 + 4 + 234 = 272. The correct sum is 272. Choice A, 70.2, is incorrect as it does not reflect the accurate addition of the numbers. Choice B, 230.72, is incorrect as well. Choice C, 234.74, is also incorrect since the correct sum is 272, not 234.74.
Divide: 11 · 5 =
- A. 1.424
- B. 1.622
- C. 2.2
- D. 2
Correct Answer: C
Rationale: To divide 11 by 5, you need to perform the division operation. 11 divided by 5 equals 2.2. Therefore, the correct answer is C. Choice A (1.424) and Choice B (1.622) are incorrect as they do not result from the division of 11 by 5. Choice D (2) is close but not accurate, as the exact result of 11 divided by 5 is 2.2.
Gerald can bake 3 dozen cookies in 30 minutes. How long will it take him to bake 12 dozen cookies?
- A. 90 minutes
- B. 1 hour 40 minutes
- C. 2 hours
- D. 4 hours
Correct Answer: B
Rationale: If Gerald can bake 3 dozen cookies in 30 minutes, then he can bake 1 dozen cookies in 10 minutes (30 minutes / 3 = 10 minutes). To bake 12 dozen cookies, it would take him 120 minutes (12 dozen x 10 minutes = 120 minutes), which is equivalent to 1 hour and 40 minutes. Choice A (90 minutes) is incorrect because it does not account for the correct proportion of cookies baked. Choice C (2 hours) and Choice D (4 hours) are incorrect as they overestimate the time required based on the given information.