NDA Maths Paper
If you are preparing for Defence Exam, then here you can practice best Top 20 Question NDA Maths Objective type questions which can help to improve in your preparation. Answer Key also attached in the end.
Question 1 – If the Endless GP has an initial term x and a total of 5, then which of the following is correct?
(a) x <- 10
(b) – 10 <x <0
(c) 0 <x <10
(d) x> 10
Question 2 – A square matrix A is called an orthogonal if
(a) A = A2
(b) A ’= A-1
(c) A = A-1
(d) A = A ’
NDA Maths Paper
Question 3 – Let x be the integer number between 2999 and 8001 with at least two equal numbers. Then x is equal to
(a) 2480
(b) 2481
(c) 2482
(d) 2483
Question 4 – Series total 3 – 1 + (1/3) – (1/9) + ……
(a) 20/9
(b) 9/20
(c) 9/4
(d) 4/9
Question 5 – There are 17 cricket players, 5 of whom can throw a ball. In how many ways can a team of 11 players be selected to include 3 throwers?
(a) C (17, 11)
(b) C (12, 8)
(c) C (17, 5) x C (5, 3)
(d) C (5, 3) x C (12, 8)
Question 6 – What is the value of log9 27 + log8 32?
(a) 7/2
(b) 19/6
(c) 4
(d) 7
Question 7 – If A and B are two square matrices that do not change in the same order, then what is (AB) -1 equal to?
(a) B-1 A-1
(b) A-1 B-1
(c) B-1 A
(d) A-1 B
Question 8 – The sum of the binary numbers (11011) 2, (10110110) 2 and (10011x0y) 2 is the binary number (101101101) 2. What are the values of x and y?
(a) x = 1, y = 1
(b) x = 1, y = 0
(c) x = 0, y = 1
(d) x = 0, y = 0
Question 9 – If (0.2) x = 2 and log10 2 = 0.3010, then how much is the nearest x ten?
(a) – 10.0
(b) – 0.5
(c) – 0.4
(d) – 0.2
Question 10 – The sum of 5-digit numbers can be made up of digits from 0 to 9
(a) 45360
(b) 30240
(c) 27216
(d) 15120
NDA Maths Paper
Question 11 – What is it equal to (2 tan θ / 1 + tan2 θ)?
(a) at 2θ
(b) 2θ
(c) sin 2θ
(d) cosec 2θ
Question 12 – If the second (θ – α), second θ and second (θ + α) are in AP, where cos α ≠ 1 is, then what is the value of sin2θ + cos α?
(a) 0
(b) 1
(c) – 1
(d) ½
Question 13 – If A + B + C = 180 °, then sin 2A – sin 2B – sin 2C equals you?
(a) – 4 sin A sin B sin C
(b) – 4 cos A sin B cos C
(c) – 4 cos A cos B sin C
(d) – 4 sin A cos B cos C
Question 14 – The balloon is over one end of the bridge. The angle of depression on the other side of the bridge from the balloon is 48 °. If the height of the balloon above the bridge is 122m, what is the length of the bridge?
(a) 122 sin 48 ° m
(b) 122 tan 42 ° m
(c) 122 cos 48 ° m (d) 122 tan 48 ° m
Question 15 – A is the angle in the fourth quadrant. Satisfy trigonometric number 3 (3 – tan2 A – cot A) 2 = 1. Which of the following is the value of A?
(a) 300 °
(b) 315 °
(c) 330 °
(d) 345 °
NDA Maths Paper
Question 16 – If x, x – y and x + y are triangular angles (not equal triangle) so that tan (x – y), tan x and tan (x + y) are in the GP, what does x mean equals?
(a) π / 4
(b) π / 3
(c) π / 6
(d) π / 2
Question 17 – If a 6-meter-long flagpole is placed on top of a tower it casts a shadow of 2√3 m on the ground, then how much angle does the sun make to the ground?
(a) 60 °
(b) 45 °
(c) 30 °
(d) 15 °
Question 18 – What is the equivalent of tan-1 (1/4) + tan-1 (3/5)?
(a) 0
(b) π / 4
(c) π / 3
(d) π / 2
Question 19 – If sin (x + y) / sin (x – y) = a + b / a – b, then what is tan x / tan y equal to?
(a) a / b
(b) b / a
(c) a + b / a – b
(d) a – b / a + b
Question 20 – If sin α + sin β = 0 = cos α + cos β, when 0 <β <α <2π, then which of the following is correct?
(a) α = π – β
(b) α = π + β
(c) α = 2π – β
(d) 2α = π + 2β
NDA Maths Paper
Here is the Top 20 Question NDA Maths Paper Answer Key: –
| Question No. | Answer | Question No. | Answer |
| Question 1 | C | Question 11 | C |
| Question 2 | B | Question 12 | A |
| Question 3 | B | Question 13 | D |
| Question 4 | C | Question 14 | B |
| Question 5 | D | Question 15 | A |
| Question 6 | B | Question 16 | A |
| Question 7 | A | Question 17 | A |
| Question 8 | B | Question 18 | B |
| Question 9 | C | Question 19 | A |
| Question 10 | C | Question 20 | B |
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