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
Solve for x. x/250 = 3/500
- A. 1.5
- B. 2
- C. 1500
- D. 25
Correct Answer: A
Rationale: To solve the proportion x/250 = 3/500, cross multiply to get 500x = 750. Then solve for x by dividing both sides by 500, which results in x = 1.5. Therefore, the correct answer is A.
Choice B (2) is incorrect because the correct solution is 1.5, not 2. Choice C (1500) is incorrect as it does not align with the correct calculation of the proportion. Choice D (25) is incorrect and does not match the correct solution obtained by solving the proportion.
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.
A hospital nurse's schedule rotates every 4 days. The nurse works 3 days and has 1 day off. If the nurse's first day off is a Monday, what is the nurse's second day off?
- A. Friday
- B. Saturday
- C. Thursday
- D. Wednesday
Correct Answer: A
Rationale: The nurse's schedule repeats every 4 days, with 3 days of work and 1 day off. If the first day off is Monday, then after 4 days (Monday + 4 days), the second day off will fall on Friday. Therefore, the correct answer is A. Choice B (Saturday), C (Thursday), and D (Wednesday) are incorrect as they do not align with the 4-day rotation pattern after the first day off on Monday.
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
Multiply 4/9 x 1 & 4/5 x 2/5.
- A. 15
- B. 7/16
- C. 8/25
- D. 19
Correct Answer: C
Rationale: To multiply fractions, you multiply the numerators together and the denominators together. Calculating 4/9 x 1 & 4/5 x 2/5 gives you (4 x 1) / (9 x 1) & (4 x 2) / (5 x 5) = 4/9 & 8/25. Therefore, the correct answer is 8/25. Choices A, B, and D are incorrect because they do not result from the correct multiplication of the fractions provided.