Direction: In each of the following questions, a question is asked followed by three statements. You have to study the questions and all the three statements given and decide whether any information provided in the statement(s) is/are redundant and can be dispensed with while answering the questions.
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What is the sum of two numbers?
A. The bigger of these two numbers is 6 more than the smaller number.
B. 40% of the smaller number is equal to 30% of the bigger number.
C. The ratio between half of the bigger number and one-third of the smaller number is 2 : 1.
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- Only B and C together are required
- Only A and B together are required
- Any two of A, B and C together are required
- All A, B and C together are required
- None of these
Correct Option: E
Let, the bigger and smaller numbers be p and q, respectively.
From A, p − q = 6 ....... ( 1 )
From B, 40% of q = 30% of p ⇒ 4q = 3p …(2)
| From C, | p | : | q | = 2 : 1 ⇒ 3p = 4q ....(3) |
| 2 | 3 |
On solving equations ( 1 ) and ( 2 ) or ( 3 ) , we get
q = 18 and p = 24
Hence , the bigger and smaller numbers be 24 and 18.
We see that equations (2) and (3) are same. Hence, A and either B or C is required.
