Q. 1
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
In a right triangle formed by parallel lines $AB \parallel CD$, two angles are $90^\circ$ and $37^\circ$. Find the remaining acute angle $x$.
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Step-by-Step Explanation & Concept Rationale
The sum of angles in a triangle is $180^\circ$: \[x = 180^\circ - (90^\circ + 37^\circ) = 180^\circ - 127^\circ = 53^\circ\] Thus, the correct option is (B).
Q. 2
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
If line $L$ is parallel to line $K$ ($L \parallel K$) with alternate interior transversal angles $a+b$ and $45^\circ$, find the value of $a + b$.
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Step-by-Step Explanation & Concept Rationale
Since lines $L$ and $K$ are parallel, alternate interior angles formed by a transversal are equal. Therefore: \[a + b = 45^\circ\] Thus, the correct option is (B).
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