2025 · Q86
A Question is given followed by two Statements I and II.
Question: ABCD is a parallelogram with ∠ABC=60°. Area is 7√3 sq units. What is the perimeter?
Statement ISides AB and DA are prime numbers.
Statement IISides are natural numbers >1.
Which one of the following is correct?
Elementary MathematicsQuadrilaterals and Polygons
- AThe Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
- BThe Question can be answered by using either Statement alone
- CThe Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
- DThe Question can be answered even without using any of the Statements
Explanation
Area=AB*DA*sin(60)=7*sqrt(3) gives AB*DA=14. Statement I (primes): {2,7}, perimeter 18 - alone sufficient. Statement II (natural >1): (2,7) or (7,2), perimeter 18 either way - alone sufficient. Either statement alone works.