Mathematics: Ratio and Proportion, Indices, Logarithms

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Questions and Answers

What is the concept and application of different types of ratios called?

  • Duplicate Ratio
  • Triplicate Ratio
  • Compound Ratio (correct)
  • Inverse Ratio

If a certain sum of money is divided into three parts in a given ratio, what can be determined if the first part is given?

  • Total amount and the other two parts (correct)
  • Only the third part
  • Only the total amount
  • Only the second part

In the case where the ratio of boys and girls in a school is given along with the total number of students, what can be found out if the number of boys in the school is given?

  • The number of girls in the school (correct)
  • The total number of girls in the school
  • The ratio of girls to boys
  • The total number of students

What is the fraction a/b called if a and b are two quantities of the same kind?

<p>Ratio (A)</p> Signup and view all the answers

What are the quantities a and b called in a ratio, where a is called the first term or antecedent and b is called the second term or consequent?

<p>Antecedent and Consequent (D)</p> Signup and view all the answers

In the ratio 5 : 6, what is 5 called?

<p>First term (D)</p> Signup and view all the answers

According to the given text, which statement is true about ratios?

<p>Ratios can only exist between quantities of the same kind. (D)</p> Signup and view all the answers

If a quantity increases or decreases in the ratio $a : b$, what is the new quantity?

<p>$b/a$ of the original quantity (C)</p> Signup and view all the answers

What is the factor multiplying ratio if a quantity increases or decreases in the ratio $a : b$?

<p>$ab$ (A)</p> Signup and view all the answers

In the ratio 12 : 16, what is 16 called?

<p>Second term (A)</p> Signup and view all the answers

What is true about comparing two ratios?

<p>Convert them into equivalent like fractions. (D)</p> Signup and view all the answers

If there is no ratio between the number of students in a class and the salary of a teacher, what does it mean?

<p>The number of students is not related to the salary of the teacher. (C)</p> Signup and view all the answers

If the ratio between 150 gm and 2 kg is $3 : 40$, what can be inferred?

<p>$150/2000 = 3/40$ (D)</p> Signup and view all the answers

What must be done to compare two ratios?

<p>Convert them into equivalent like fractions. (A)</p> Signup and view all the answers

(Illustration VII) If Rounaq weighs 56.7 kg and reduces his weight in the ratio $7 : 6$, what is his new weight?

<p>$56.7 × (6/7)$ kg (D)</p> Signup and view all the answers

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