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NDA previous year questions with solutions

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

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Chapters with the most previous year questions in the NDA bank (General Ability and Mathematics).

Featured NDA questions

1

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

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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

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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

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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

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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

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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 ?

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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 ?

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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 ≠

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16

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

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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?

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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

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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

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20

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

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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

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22

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

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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:

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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.

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