Quantitative aptitude

The area of a circle is calculated using the formula A = pi * r squared. Substituting r = 7 cm and pi = 22/7 gives (22/7) * 7 * 7 = 154 square centimeters. Option A (44 cm squared) is incorrect because it represents the circumference of the circle (2 * pi * r) rather than its area.

The least common multiple (LCM) is the smallest positive integer divisible by both numbers, and 36 is the lowest number that 12 and 18 can both divide into evenly. Option A is incorrect because 6 is the highest common factor (HCF) of the two numbers, not their LCM.

To find the ratio A:C, we multiply the ratios A:B and B:C, giving (3/4) * (6/7) = 18/28, which simplifies to 9:14. A diagram for this topic isn't available yet — the worked example below walks the same reasoning step by step.

• !Distractors like 3:7 are incorrect because they result from simply combining the first terms without normalizing the common term B.
• !Option A (2 hours) is incorrect because traveling at this speed for only 2 hours would cover just half of the required distance.
• !Option A (Rs 400) is incorrect because it only accounts for two years of interest instead of three.
• !Option A (44 cm squared) is incorrect because it represents the circumference of the circle (2 * pi * r) rather than its area.
• !The least common multiple (LCM) is the smallest positive integer divisible by both numbers, and 36 is the lowest number that 12 and 18 can both divide into evenly.

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