Nokea
Ratio and proportion 1.2:x=14:42.
- A. 2
- C. 1
- D. 3
Correct Answer: D
Rationale: Cross-multiply to solve for
x
x:
1.2
42
=
14
x
1.242=14x
50.4
=
14
x
50.4=14x
x
=
50.4
14
=
3.6
x=
14
50.4
​
=3.6
You may also like to solve these questions
Sally eats 3/5 of her lunch. John eats 75%. Who ate more?
- A. John
- B. Sally
- C. Both the same
- D. Neither
Correct Answer: A
Rationale: To compare, convert both to decimals or percentages:
Sally ate 3/5, which is 0.6 or 60%. John ate 75%. Since 75% is greater than 60%, John ate more than Sally. Thus, the correct answer is A. John. Choice B is incorrect because Sally ate a smaller percentage of her lunch compared to John. Choice C is incorrect as the percentages consumed are different. Choice D is incorrect as one of them ate more.
Change the following fraction into a ratio: 19/40
- A. 19:40
- B. 40:19
- C. 19:4
- D. 40:4
Correct Answer: A
Rationale: To change a fraction into a ratio, you replace the fraction bar (/) with a colon (:). Therefore, 19/40 as a ratio is written as 19:40. Choice B (40:19) is incorrect as it reverses the order of the numbers. Choice C (19:4) is incorrect as it uses the denominator as the second number, which is not the correct way to represent a ratio. Choice D (40:4) is incorrect as it does not reflect the original fraction accurately.
5\7 + 3\14 = ?
- A. 13\14
- B. 10/14
- C. 11/14
- D. 12/14
Correct Answer: A
Rationale: To add fractions with different denominators, first find a common denominator. The least common denominator between 7 and 14 is 14. Convert 5/7 to 10/14:
5
/
7
=
10
/
14
5/7=10/14
Now add the two fractions:
10
/
14
+
3
/
14
=
13
/
14
10/14+3/14=13/14
A set of temperature readings has a range of 5 degrees Celsius. What does this tell you about the data?
- A. The average temperature is 5 degrees Celsius.
- B. All temperatures are within 5 degrees of each other.
- C. The difference between the highest and lowest temperatures is 5 degrees.
- D. There are exactly 5 temperatures in the set.
Correct Answer: C
Rationale: Option A is incorrect because the range of 5 degrees does not necessarily mean that the average temperature is 5 degrees Celsius. The average temperature could be any value within the range. Option B is incorrect because the range of 5 degrees does not mean that all temperatures are within 5 degrees of each other. It only indicates the difference between the highest and lowest temperatures. Option C is correct because the range of 5 degrees specifically refers to the difference between the highest and lowest temperatures in the set. This is a common definition of range in statistics. Option D is incorrect because the range of 5 degrees does not determine the number of temperatures in the set. The set could have more or fewer than 5 temperatures.
5 1\3 + 3 1\2.
- A. 8 5/6
- B. 9
- C. 7
- D. 8
Correct Answer: A
Rationale: 5 1\3 + 3 1\2 equals 8 5\6.