Data Comparison Solved Examples - UGC NET PDF Download

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.

A: If the quantity in column A is greater. 

B: If the quantity in column B is greater.

C: If the two quantities are equal.

D: If the relationship cannot be determined.

Example 1:

Ans: C

Sol: Circumference of circle = 2 × 3.14 × r.
So, for r = 2, C = 2 × 3.14 × 2 = (4 × 3.14).

For, r = 1, C = 2 × 3.14 × 1.  
For two circles of this type, C = (2 × 3.14 + 2 × 3.14) ⇒; 4 × 3.14.

We got the same result from both the columns.

Hence, the answer is (C)

Example 2:

Ans: A

Sol: y = sum of first ten positive integers = (10 × 11) ÷ 2 = 55
A = 2 × 55 = 110.
B = 100
A is greater than B. So, the answer is option (A).

Example 3:

Ans: C
Sol:

Column A : 6 can be expressed as 6 × 1 and 2 × 3. (2 ways)
Column B : 12 can be expressed as 12 × 1, 6 × 2 and 3 × 4 (3 ways). Out of these, 12 × 1 contains a two-digit number. As that is not to be considered, the valid number of ways reduces to 2. Thus, in both the cases, the valid number of cases is 2. Hence, the answer is option (C).

Exmaple 4:

Ans: A

Sol: Small doughnuts: 1 pack makes 12, 3 packs makes 12 x 3 = 36;

Large doughnuts: 1 pack makes 8, 4 packs makes 4 x 8 = 32. So, the answer is (A).

Example 5: A = {1, 2, 3} B = {4, 5, 6, 7}

Ans: B

Sol: n(A ) = 3, n( B) = 4, n(A∪B ) = 7;
Ordered pair from set A to set B is = 3 x 4 = 12,
Number of ordered pairs from set A ∪B to set A is = 7 x 3 = 21. So, the answer is (B)

Example 6: Three times the sum of x and y is 18

Ans: C

Sol: 3 (x + y) = 18.  (x + y) = 6.

2 (x + y) = 12. So, the answer is (C).

Example 7: a + b = 0

Ans: D
Sol: a + b = 0; a = - b.  
For b = 2, a = -2,
a3 = -8, b3= 8

But for b = -2, a = 2,
a3= 8, b3= -8.
So, the answer is (D).

Example 8:  The total cost of 1 apple and 1 orange is Rs. 1.70

Ans :D

Sol:  Let the cost of 1 apple = Rs. x, cost of 1 orange = Rs. y

Then, x + y = Rs. 1.70 but various combinations of x and y are possible. So, the answer is (D)

Example 9: When Rina was 10 years old, the price of a certain item was Rs. 100.

Ans: D
Sol: No relation between age of Rina and price of the item is mentioned. So, the answer is (D).