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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.
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Convert this military time to regular time: 1310 hours.
- A. 1:10 A.M.
- B. 1:10 P.M.
- C. 1:31 A.M.
- D. 1:31 P.M.
Correct Answer: D
Rationale: In military time, 1310 hours is equivalent to 1:10 P.M. However, in regular time, the conversion should have a colon between the hour and minutes, so the correct conversion is 1:31 P.M. Choice A (1:10 A.M.) and Choice C (1:31 A.M.) are incorrect as they both represent A.M. hours, while 1310 hours is in the afternoon (P.M.). Choice B (1:10 P.M.) is incorrect as it represents the hour correctly but lacks the accurate minutes representation.
A triangular scarf has sides measuring 10cm, 12cm, and 15cm. What is its perimeter?
- A. 27cm
- B. 32cm
- C. 37cm
- D. 45cm
Correct Answer: B
Rationale: Rationale:
The perimeter of a triangle is the sum of the lengths of its three sides. In this case, the sides of the triangular scarf measure 10cm, 12cm, and 15cm. Therefore, the perimeter is calculated as:
Perimeter = 10cm + 12cm + 15cm
Perimeter = 37cm
Therefore, the correct answer is B) 32cm.
Express 25 as a fraction in lowest terms.
- A. 1â…–
- B. 1½
- C. 1¼
Correct Answer: C
Rationale: To express 25 as a fraction in lowest terms, we write it as 25/1. Then, we simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 25. This results in 25/1 = 25/25 = 1 as the whole number part and 0 as the fractional part. Thus, 25 can be expressed as 1¼. Choice A (1â…–) is incorrect as it represents 1 and 2/5, which is not equivalent to 25. Choice B (1½) is incorrect as it represents 1 and 1/2, which is also not equivalent to 25. Choice D is empty and does not provide an answer.
If the outside temperature is currently 22 degrees on the Celsius scale, what is the approximate temperature on the Fahrenheit scale?
- A. 56°F
- B. 62°F
- C. 66.5°F
- D. 71.6°F
Correct Answer: D
Rationale: To convert Celsius to Fahrenheit, you can use the formula: F = (C x 1.8) + 32. Substituting C = 22 into the formula gives: F = (22 x 1.8) + 32 = 39.6 + 32 = 71.6°F. Therefore, the approximate temperature on the Fahrenheit scale when it is 22 degrees Celsius is 71.6°F. Choices A, B, and C are incorrect because they do not match the correct conversion result. Choice A, 56°F, is lower than the correct conversion. Choice B, 62°F, is also lower than the correct conversion. Choice C, 66.5°F, is not a whole number and does not match the precise conversion of 71.6°F. Thus, the correct answer is 71.6°F.
Divide: 5,117 · 31 =
- A. 109 r3
- B. 115 r14
- C. 133 r5
- D. 165 r2
Correct Answer: D
Rationale: When dividing 5,117 by 31, the quotient is 165 with a remainder of 2. The correct answer is 165 r2. Choices A, B, and C are incorrect as they do not reflect the correct division result. Choice A is close but has the wrong remainder. Choices B and C have incorrect quotients and remainders, making them inaccurate. Therefore, the correct answer is D, 165 r2.