Allied & ICAR Exam Bank • ALLIED_1752MCQ • 2 Marks
Section 8: General Aptitude
Analytical & Spatial Aptitude
Subtopic: Logic Deduction & Pattern Recognition
Question Statement:
Question: What is the area of rectangle ABCD?
Statement 1: The perimeter of the rectangle is 28 cm.
Statement 2: The diagonal of the rectangle is 10 cm.
Which statement(s) are sufficient?
Options:
(A) Statements 1 and 2 together are sufficient, but neither alone is sufficient
(B) Statement 1 alone is sufficient
(C) Statement 2 alone is sufficient
(D) Statements together are not sufficient
Answer Key:
A
Step-by-Step Solution & Explanation
From 1: $2(l+w) = 28 \implies l+w = 14$. From 2: $l^2 + w^2 = 100$. $(l+w)^2 = l^2+w^2+2lw \implies 196 = 100 + 2lw \implies lw = 48$ cm$^2$. Together they suffice.