Ratio and Proportion

PART-B Unit I: Aptitude

PART-B • Unit I: Aptitude & Mental Ability

Ratio and Proportion • 15 Model Questions

Organized from Easy to Complex with Step-by-Step Mathematical Solutions and LaTeX Formulas

Question 01 Unit Normalization Ratio
Find the simplest ratio of \(666\text{ gm}\) to \(6\text{ kg}\):
(A) \(111 : 1\)
(B) \(111 : 10\)
(C) \(111 : 100\)
(D) \(111 : 1000\)  ✓
💡 Explanation:
  • Convert both quantities into the same unit (grams): \[6\text{ kg} = 6 \times 1000\text{ gm} = 6000\text{ gm}\]
  • Form the ratio and divide by common factor \(6\): \[\text{Ratio} = \frac{666}{6000} = \frac{666 \div 6}{6000 \div 6} = \frac{111}{1000} \implies \mathbf{111 : 1000}\]
Correct Option: (D) 111:1000
Question 02 Product of Extremes and Means
If \(1000 : 10 = x : \frac{1}{1000}\), find the value of \(x\):
(A) \(10\)
(B) \(\frac{1}{10}\)  ✓
(C) \(1000\)
(D) \(\frac{1}{1000}\)

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