Ratio and Proportion: 0.9: X:: 15:90
X=7.4
X=1.6
X=5.4
X=3.6
Correct Answer : C
The ratio 0.9:X=15:90 can be written in proportion as:
\(\frac{0.9}{X}=\frac{15}{90}\)
The value of X is determined by cross-products
\(0.9\ast90=15X 81=15X \)
Divide both sides by 15
\(\frac{81}{15}=\frac{15X}{15} 5.4=X \)
Thus, the value of X is 5.4
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Related Questions
Correct Answer is C
Explanation
First convert the mixed fraction into improper fraction as follows
\(3 2/9=\frac{\left(3\ast9\right)+2}{9}=\frac{27+2}{9}=\frac{29}{9}\)
Then, multiply the fractions
\(9/16 x 2 2/7=\frac{\mathbf{9}}{\mathbf{16}}\\mathbit{ast}\frac{\mathbf{29}}{\mathbf{9}}=\frac{\mathbf{29}}{\mathbf{16}}\)
9 cancels with 9 and the resulting product is 29/16 which simplifies to 1 13/16.
Correct Answer is ["12000"]
Explanation
Use the relation 1kg=1000 g to convert between kg and grams. Then, 12 kg to g becomes
\(12\ kg\ast\frac{1000g}{1kg}=12000\ g\)
Thus, 12 kg is 12000 g
Correct Answer is B
Explanation
First step is to find the least common divisor of denominators 3, 4, and 6 which is 12. Then
\(\frac{1}{3}+\frac{1}{4}+\frac{5}{6}=\frac{1\left(4\right)+3+5\left(2\right)}{12} =\frac{4+3+10}{12}=\frac{17}{12}=1\frac{5}{12} \)
Correct Answer is ["1432"]
Explanation
Use the Military time chart below to convert 2:32 PM to Military Time
From the chart above, 2:00 PM to Military is 1400 hrs, then it follows that 2:32 PM is 1432 hrs
Alternatively, add 1200 to 232 without colon as follows
1200+232=1432 hr
Thus, 2:32 PM is 1432 hrs in Military time.
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