SSC CGL 2025 PYQ — Question 36

SSC CGL - 26 Sep 2025 - Shift 1 • Quantitative Aptitude • Q36

If 3 cot A = 4, then find the value of (3 sin A - 4 cos A).

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. −75\frac{-7}{5}

3 cot A = 4

cot A = 4/3

So, in a right triangle:

Adjacent = 4, Opposite = 3

Hypotenuse = √(42 + 32) = 5

sin A = 3/5

cos A = 4/5

3 sin A − 4 cos A = 3 × 3/5 − 4 × 4/5 = 9/5 − 16/5 = −7/5

Therefore, the value is −7/5