NDA (Defence) Mathematics Mock Test
4 free timed sets · 127 questions · 1 easy / 125 moderate / 1 hard · solutions for every question
All Mathematics sets
Sample Mathematics questions
1. The value of sin 30° + cos 60° is:
- (A) 0
- (B) 1
- (C) 0.5
- (D) 2
Show answer
(B) 1. Concept: Standard trigonometric values; sin and cos of complementary angles are equal. Formula: sin θ = cos (90° − θ). sin 30° = 1/2, cos 60° = 1/2. Steps: sin 30° = 0.5 cos 60° = sin (90° − 60°) = sin 30° = 0.5 Sum = 0.5 + 0.5 = 1 Why others are wrong: - A) 0 would need the terms to cancel. - C) 0.5 is only one of the two terms. - D) 2 would need both to be 1 (sin 90° + cos 0°). Remember: Complementary pairs: sin 30° = cos 60° = ½; sin 60° = cos 30° = √3/2; sin 45° = cos 45° = 1/√2.
2. For the complex number z = a + bi, it is known that a and b are positive integers, and that z^3 + z^2 + z is a real number. Find the smallest possible value for b.
- (A) 11
- (B) 1
- (C) 6
- (D) 10
Show answer
(A) 11. Correct answer: 11.
3. A novel has 400 pages and Veronica wants to estimate how long it will take her to complete it. She reads 250 words per minute. She counted the words on one quarter of a typical page and found that there were approximately 200 words per page. To the nearest minute, how long will it take Veronica to read the book?
- (A) 320
- (B) 225
- (C) 450
- (D) 400
Show answer
(A) 320. Correct answer: 320.
NDA (Defence) Mathematics — FAQs
Is the NDA (Defence) Mathematics mock test free?
Yes. All 4 Mathematics sets are free, need no signup, and give instant scores with a solution for every question.
How many Mathematics questions are there for NDA (Defence)?
127 questions across 4 sets: 1 easy, 125 moderate and 1 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.