# Data Comparison: Solved Examples

DIRECTIONS for questions 1 to 9: In each of these questions, two quantities are mentioned, at column A and at column B.
To mark the answers to the questions, use the following instructions.
Choose A: If the quantity in column A is greater.
Choose B: If the quantity in column B is greater.
Choose C: If the two quantities are equal.
Choose D: If the relationship cannot be determined.
Example 1:
Column A
The circumference of a circle with radius 2
Column B
The sum of the circumferences of two circles, each with radius 1
Example 2: y represents the sum of the first 10 positive integers.
Column A
2y
Column B
100
Example 3:
Column A
The number of ways in which 6 can be expressed as a product of two different single digit positive integers
Column B
The number of ways in which 12 can be expressed as a product of two different single digit positive integers
Example 4: One package of doughnut mix makes 8 large doughnuts or 12 small doughnuts.
Column A
The maximum number of small doughnuts that can be made with 3 packages of mix
Column B
The maximum number of large doughnuts that can be made with 4 packages of mix
Example 5: A = {1, 2, 3} B = {4, 5, 6, 7}
Column A
The total number of ordered pairs (a, b) that can be formed where a is from set A and b is from set B
Column B
The total number of ordered pairs (a, b) that can be formed where a is from set A∪B and b from set A
Example 6: Three times the sum of x and y is 18.
Column A
Twice the sum of x and y
Column B
12
Example 7: a + b = 0
Column A
a.a.a
Column B
b.b.b
Example 8: The total cost of 1 apple and 1 orange is Rs. 1.70
Column A
The cost of one apple
Column B
The cost of one orange
Example 9: When Rina was 10 years old, the price of a certain item was Rs. 100.
Column A
The price of the same item when Rina will be 12 years old
Column B
Rs. 100