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NDA previous year questions with solutions

NDA Mathematics and GAT previous year questions with answers and solutions.

6,800 questions2 subjectsFree solutions

General Ability

3,819 questions · 3 chapters

Mathematics

2,981 questions · 29 chapters

Directions: Each item consists of a sentence with an underlined word followed by four words. Select the word that is opposite in meaning to the underlined word. She had a

NDA 2026 Solution View → 2

Directions: Each item consists of a sentence with underlined word/words followed by four words. Select the word that is nearest in meaning to the underlined word/words. T

NDA 2026 Solution View → 3

Directions: Each item consists of a sentence with underlined word/words followed by four words. Select the word that is nearest in meaning to the underlined word/words. W

NDA 2026 Solution View → 4

Directions: Each item consists of a sentence with underlined word/words followed by four words. Select the word that is nearest in meaning to the underlined word/words. T

NDA 2026 Solution View → 5

Directions: Each item consists of a sentence with underlined word/words followed by four words. Select the word that is nearest in meaning to the underlined word/words. H

NDA 2026 Solution View → 6

Directions: Each item consists of a sentence with underlined word/words followed by four words. Select the word that is nearest in meaning to the underlined word/words. O

NDA 2026 Solution View → 7

Directions: Each item consists of a sentence with underlined word/words followed by four words. Select the word that is nearest in meaning to the underlined word/words. T

NDA 2026 Solution View → 8

Directions: Each item consists of a sentence with underlined word/words followed by four words. Select the word that is nearest in meaning to the underlined word/words. I

NDA 2026 Solution View → 9

Directions: Each item consists of a sentence with an underlined word followed by four words. Select the word that is opposite in meaning to the underlined word. Our profe

NDA 2026 Solution View → 10

Directions: Each item consists of a sentence with an underlined word followed by four words. Select the word that is opposite in meaning to the underlined word. The young

NDA 2026 Solution View → 11

Directions: Each item consists of a sentence with an underlined word followed by four words. Select the word that is opposite in meaning to the underlined word. He found

NDA 2026 Solution View → 12

Directions: Each item consists of a sentence with an underlined word followed by four words. Select the word that is opposite in meaning to the underlined word. The offic

NDA 2026 Solution View → 13

Passage: Let S and T be the sets where f(x)= x^3 3 - 5x^2 2 +6x+7 decreases and increases respectively. Question: What is T equal to ?

NDA 2026 Solution View → 14

For the following three (03) items: Let y = f(x) = x ⁻¹ x 1 - x^2 + 1 - x^2 . What is the slope of the tangent to the curve y = f(x) at x = 0.5 ?

NDA 2025 Solution View → 15

Consider the following statements regarding the function f(x) = 1 x - 5 : Statement-I: f(x) is decreasing on the intervals x 5 . Statement-II: f'(x) > 0 for all x 5 . Whi

NDA 2025 Solution View → 16

What is the length of the longest interval in which the function f(x)=2 ^2 x-1 is decreasing ?

NDA 2026 Solution View → 17

Consider the following for the two (02) items that follow: Let ABC be a triangle right-angled at B and AB + AC = 3 units. What is the maximum area of the triangle?

NDA 2025 Solution View → 18

Consider the following for the two (02) items that follow: Let ABC be a triangle right-angled at B and AB + AC = 3 units. What is A equal to if the area of the triangle i

NDA 2025 Solution View → 19

A wire of length 20 cm is to be bent into a rectangle. Which of the following statements is/are correct? I. The rectangle of the largest area is the square. II. It is pos

NDA 2025 Solution View → 20

Paragraph: Let f(x)= 2 x+x on [ - 2 , 2 ] Question: What is the greatest value of f(x) ?

NDA 2024 Solution View → 21

Let f(x)= x x ;(x 1) Consider the following statements: 1. f(x) is increasing in the interval (e, ) 2. f(x) is decreasing in the interval (1, e) 3. 9 7 7 9 Which of the s

NDA 2024 Solution View → 22

Paragraph: Let f(x)= 2 x+x on [ - 2 , 2 ] Question: What is the least value of f(x) ?

NDA 2024 Solution View → 23

The non-negative values of b for which the function 16 x^3 3 -4 b x^2+x has neither maximum nor minimum in the range x 0 is:

NDA 2024 Solution View → 24

Consider the following for the two (02) items that follow: Let the function f(x) = x^2 + 9 . Consider the following statements: I. f(x) is an increasing function. II. f(x

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