GATE (PG Engineering) Aptitude & Core Mock Test
1 free timed sets · 3 questions · 2 easy / 1 moderate / 0 hard · solutions for every question
All Aptitude & Core sets
Sample Aptitude & Core questions
1. The derivative of sin x with respect to x is:
- (A) -cos x
- (B) cos x
- (C) -sin x
- (D) tan x
Show answer
(B) cos x. Concept: Standard derivatives of trigonometric functions. Formula: d/dx (sin x) = cos x; d/dx (cos x) = −sin x; d/dx (tan x) = sec² x. Steps: From first principles, (sin(x+h) − sin x)/h → cos x as h → 0 So d/dx (sin x) = cos x Why others are wrong: - A) −cos x is the derivative of… nothing standard; ∫sin x dx = −cos x (integral, not derivative). - C) −sin x is d/dx (cos x). - D) tan x is not a derivative of sin x. Remember: Cycle for repeated differentiation: sin → cos → −sin → −cos → sin. Integration goes the other way.
GATE (PG Engineering) Aptitude & Core — FAQs
Is the GATE (PG Engineering) Aptitude & Core mock test free?
Yes. All 1 Aptitude & Core sets are free, need no signup, and give instant scores with a solution for every question.
How many Aptitude & Core questions are there for GATE (PG Engineering)?
3 questions across 1 sets: 2 easy, 1 moderate and 0 hard.
Will I get the same questions again?
No. Each attempt draws a fresh random subset, shuffles the order and options, and prefers questions you have not seen on this device. The Surprise Set draws from the whole subject pool.
Can I choose difficulty and timer?
Yes — pick Easy, Moderate, Hard or Mixed, and choose no timer, 10 or 20 minutes, or the real exam pace.