NDA Exam  >  NDA Tests  >  NDA (National Defence Academy) Past Year Papers  >  NDA I - Mathematics Question Paper 2017 - NDA MCQ

NDA I - Mathematics Question Paper 2017 - NDA MCQ


Test Description

120 Questions MCQ Test NDA (National Defence Academy) Past Year Papers - NDA I - Mathematics Question Paper 2017

NDA I - Mathematics Question Paper 2017 for NDA 2024 is part of NDA (National Defence Academy) Past Year Papers preparation. The NDA I - Mathematics Question Paper 2017 questions and answers have been prepared according to the NDA exam syllabus.The NDA I - Mathematics Question Paper 2017 MCQs are made for NDA 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for NDA I - Mathematics Question Paper 2017 below.
Solutions of NDA I - Mathematics Question Paper 2017 questions in English are available as part of our NDA (National Defence Academy) Past Year Papers for NDA & NDA I - Mathematics Question Paper 2017 solutions in Hindi for NDA (National Defence Academy) Past Year Papers course. Download more important topics, notes, lectures and mock test series for NDA Exam by signing up for free. Attempt NDA I - Mathematics Question Paper 2017 | 120 questions in 120 minutes | Mock test for NDA preparation | Free important questions MCQ to study NDA (National Defence Academy) Past Year Papers for NDA Exam | Download free PDF with solutions
NDA I - Mathematics Question Paper 2017 - Question 1

The sum of the roots of the equation x2 + bx + c = 0 (where b and c are non-zero) is equal to the sum of the recipients of their squares. Then,  are in

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 1

NDA I - Mathematics Question Paper 2017 - Question 2

The sum of the roots of the equation ax2 + x + c = 0 (where a and c are non-zero) is equal to the sum of the reciprocals of their squares. Then a, ca2 , c2 are in

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 2

1 Crore+ students have signed up on EduRev. Have you? Download the App
NDA I - Mathematics Question Paper 2017 - Question 3

The value of [C (7, 0) + C (7, 1)] + [C (7, 1) + C (7, 2)] +⋯ + [C (7, 6) + C (7, 7)] is

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 3

NDA I - Mathematics Question Paper 2017 - Question 4

The number of different words (eight-letter words) ending and beginning with a consonant which can be made out of the letters of the word ‘EQUATION’ is

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 4

NDA I - Mathematics Question Paper 2017 - Question 5

The fifth term of an AP of n terms, whose sum is n2 + n, is

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 5

NDA I - Mathematics Question Paper 2017 - Question 6

The sum of all the two-digit odd numbers is

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 6

NDA I - Mathematics Question Paper 2017 - Question 7

The sum of the first n terms of the series  is equal to

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 7

NDA I - Mathematics Question Paper 2017 - Question 8

Consider the following in respect of sets A and B:

1. (A − B) ∪ B = A
2. (A − B) ∪ A = A
3. (A − B) ∩ B = ∅
4. A ⊆ B ⇒ A ∪ B = B
Which of the above are correct?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 8

By property, 

NDA I - Mathematics Question Paper 2017 - Question 9

In the binary equation (1p101)2 + (10q1)2 = (100r00)2
Where p, q and r are binary digits, what are the possible values of p, q and r respectively?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 9

NDA I - Mathematics Question Paper 2017 - Question 10

If S = {x: x2 + 1 = 0, x is real}, then S is

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 10

NDA I - Mathematics Question Paper 2017 - Question 11

The expansion (x − y)2, n ≥ 5 is done in the descending powers of x. If the sum of the fifth and sixth terms is zero, then x/y is equal to

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 11

NDA I - Mathematics Question Paper 2017 - Question 12

If A =   and det(A3 ) = 125, then α is equal to

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 12

NDA I - Mathematics Question Paper 2017 - Question 13

If B is a non-singular matrix and A is a square matrix, then the value of det(B−1AB) is equal to

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 13

NDA I - Mathematics Question Paper 2017 - Question 14

If a ≠ b ≠ c , then one value of x which satisfies the equation is given by

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 14

NDA I - Mathematics Question Paper 2017 - Question 15

If A =   then what is AAT equal to (where AT is the transpose of A)?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 15

NDA I - Mathematics Question Paper 2017 - Question 16

What is the value of tan 18°?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 16

NDA I - Mathematics Question Paper 2017 - Question 17

Let x, y, z be positive real numbers such that x, y, z are in GP and tan−1 , tan−1  and tan−1  are in AP. Then which one of the following is correct?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 17

NDA I - Mathematics Question Paper 2017 - Question 18

If tan(α + β) = 2 and tan(α − β) = 1, then tan(2α ) is equal to

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 18

NDA I - Mathematics Question Paper 2017 - Question 19

Consider the following for triangle ABC:

Q. Which of the above are correct?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 19

NDA I - Mathematics Question Paper 2017 - Question 20

If sec θ − cosec θ = 4/3, then what is (sin θ − cos θ) equal to?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 20

NDA I - Mathematics Question Paper 2017 - Question 21

If a vertex of a triangle is (1, 1) and the midpoints of two sides of the triangle through this vertex are (-1, 2) and (3, 2), then the centroid of the triangle is

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 21

NDA I - Mathematics Question Paper 2017 - Question 22

The incentre of the triangle with vertices A(1, √3), B(0, 0) and C(2, 0) is

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 22

△ ABC is equilateral

⇒ Incentre = Centroid = (1, 1/√3)

NDA I - Mathematics Question Paper 2017 - Question 23

If the three consecutive vertices of a parallelogram are (-2, -1), (1,0) and (4, 3), then what are the coordinates of the fourth vertex?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 23

4th vertex = (4 − 2 − 1, 3 − 1 − 0) = (1,2)

NDA I - Mathematics Question Paper 2017 - Question 24

The two circles x2 + y2 = r2 and x2 + y2 − 10x + 16 = 0 intersect at two distinct points. Then which one of the following is correct?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 24

NDA I - Mathematics Question Paper 2017 - Question 25

What is the equation of the circle which passes through the points (3, -2) and (-2, 0) and having its centre on the line 2x − y − 3 = 0?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 25

(ℎ − 3)2 + (2ℎ − 1)2 = (ℎ + 2)2 + (2ℎ − 3)2

⟹ ℎ = − 3/2
⟹ 2ℎ − 3 = −6
∴ r 2 = 1/4 + 36
Equation of circle is 
(x + 3/2)+ (y + 6)2 = 1/4+ 36
⟹ x2 + y2 + 3x + 12y + 2 = 0

NDA I - Mathematics Question Paper 2017 - Question 26

What is the ratio in which the point C = (− 2/7, − 20/7) divides the line joining the points A (−2, −2) and B (2, −4)?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 26

2k − 2/k + 1 = − 2/7

⟹ 8k = 6 ⟹ k = 3/4
ratio = 3: 4

NDA I - Mathematics Question Paper 2017 - Question 27

What is the equation of the ellipse having foci (±2, 0) and the eccentricity 1/4?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 27

2 = a/4 ⟹ a = 8

b2 = 64 − 4 = 60
Equation of ellipse is
x2/64 + y2/60 = 1

NDA I - Mathematics Question Paper 2017 - Question 28

What is the equation of the straight line parallel to 2x + 3y + 1 = 0 and passes through the point (-1, 2)?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 28

Let equation of line is 2x + 3y + λ = 0 putting (−1, 2), we get λ = −4
⟹ equation of line is 2x + 3y − 4 = 0

NDA I - Mathematics Question Paper 2017 - Question 29

What is the acute angle between the pair of straight lines √2x + √3y = 1 and √3x + 2y = 2?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 29

NDA I - Mathematics Question Paper 2017 - Question 30

If the centroid of a triangle formed by (7, x), (y, −6) and (9, 10) is (6, 3) , then the values of x and y are respectively

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 30

NDA I - Mathematics Question Paper 2017 - Question 31

Let S be the set of all persons living in Delhi. We say that x, y in S are related if they were born in Delhi on the same day. Which one of the following is correct?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 31

R = {(x, y): x and y were born in Delhi on same day} R is an equivalence relation

NDA I - Mathematics Question Paper 2017 - Question 32

Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Then the number of subsets of A containing two or three elements is

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 32

Required no. of subsects = 10C2 + 10C3 = 45 + 120 = 165

NDA I - Mathematics Question Paper 2017 - Question 33

The value of   , where   is

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 33

12n + 12n+1 + 12n+2 + 12n+3 = 0

NDA I - Mathematics Question Paper 2017 - Question 34

If the difference between the roots of the equation x2 + kx + 1 = 0 is strictly less than √5, where |k| ≥ 2, then k can be any element of the interval

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 34

NDA I - Mathematics Question Paper 2017 - Question 35

If the roots of the equation x2 + px + q = 0 are in the same ratio as those of the equation x2 + lx + m = 0, then which one of the following is correct?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 35

Let α, kα be roots of x2 + px + q = 0 and β , kβ be roots of x2 + ℓx + m = 0 Clearly,

NDA I - Mathematics Question Paper 2017 - Question 36

The value of 

Where n is not a multiple of 3 and  , is

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 36

n is not multiple of 3

NDA I - Mathematics Question Paper 2017 - Question 37

Three-digit numbers are formed from the digits 1, 2, and 3 in such a way that the digits are not repeated. What is the sum of such three-digit numbers?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 37

Sum = 12(10° + 101 + 102 )

= 111 × 12 = 1332

NDA I - Mathematics Question Paper 2017 - Question 38

What is the sum of the series 0.3 + 0.33 + 0.333 + ⋯ n terms?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 38

NDA I - Mathematics Question Paper 2017 - Question 39

If ω, ω2 are the cube roots of unity, then (1 + ω)(1 + ω2 )(1 + ω3)(1 + ω + ω2 ) is equal to

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 39

(1 + ω)(1 + ω2 )(1 + ω3)(1 + ω + ω2 ) = 0

NDA I - Mathematics Question Paper 2017 - Question 40

If the sum of m terms of an AP is n and the sum of n terms is m, then the sum of (m + n) terms is

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 40

 In an A.P

If Sm = n and Sn = m then Sm+n = -(m +n)

NDA I - Mathematics Question Paper 2017 - Question 41

The modulus and principal argument of the complex number are respectively

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 41

Modulus = 1, Argument = 0

NDA I - Mathematics Question Paper 2017 - Question 42

If the graph of a quadratic polynomial lies entirely above the x-axis, then which one of the following is correct?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 42

If graph of quadratic lies entirely above x-axis then D  > 0. So, both roots are complex.

NDA I - Mathematics Question Paper 2017 - Question 43

If |z + 4| ≤ 3, then the maximum value of |z + 1| is

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 43

|z + 1| = |z + 4 − 3|

≤ |z + 4| + |−3|
maximum value of |z + 1| = 6

NDA I - Mathematics Question Paper 2017 - Question 44

The number of roots of the equation z2 = 2z̅ is

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 44

NDA I - Mathematics Question Paper 2017 - Question 45

If cot α and cot β are the roots of the equation x2 + bx + c = 0 with b ≠ 0, then the value of cot(α + β) is

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 45

NDA I - Mathematics Question Paper 2017 - Question 46

The equations x + 2y + 3z = 12x + y + 3z = 25x + 5y + 9z = 4

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 46

= 1(9 − 15) − 2(18 − 15) + 3(10 − 5)

= −6−6+15 = 3 ≠ 0

⟹ system has unique solution.

NDA I - Mathematics Question Paper 2017 - Question 47

If AB = C, then what is A2 equal to?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 47

NDA I - Mathematics Question Paper 2017 - Question 48

What is the value of the determinant

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 48

NDA I - Mathematics Question Paper 2017 - Question 49

If  then which one of the following is correct?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 49

NDA I - Mathematics Question Paper 2017 - Question 50

Consider the set A of all matrices of order 3 × 3 with entries 0 or 1 only. Let B be the subset of A consisting of all matrices whose determinant is 1. Let C be the subset of A consisting of all matrices whose determinant is -1. Then which one of the following is correct?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 50

By symmetry B has as many elements as C.

NDA I - Mathematics Question Paper 2017 - Question 51

If A =  then what is A3 equal to?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 51

A = 

⟹ A2 = 

⟹ A3 = 

NDA I - Mathematics Question Paper 2017 - Question 52

What is the order of

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 52

(1 × 3)(3 × 3)(3 × 1)
= (1 × 1)

NDA I - Mathematics Question Paper 2017 - Question 53

If A = then the value of A2 is

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 53

A = 

⟹ A2 = 

⟹ A4 = I = 

NDA I - Mathematics Question Paper 2017 - Question 54

If A = 3/5 where 450° < 540°, then cos ��/2 is equal to

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 54

sin A = 

⟹ cos A = − 4/5 (∵ A lies in 2nd quadrant)

NDA I - Mathematics Question Paper 2017 - Question 55

What is 1/sin 10°− √3/cos10° equal to?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 55

NDA I - Mathematics Question Paper 2017 - Question 56

From the top of a lighthouse, 100 m high, the angle of depression of a boat is tan−1 ( 5/12). What is the distance between the boat and the lighthouse?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 56

tan �� = 5/12
⟹ 100/x = 5 / 12
⟹ x = 240 m

NDA I - Mathematics Question Paper 2017 - Question 57

The maximum value of sin (x + π/6) + cos (x + π/6) in the interval (0, π/2) is attained at

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 57

f(x) is maximum when

NDA I - Mathematics Question Paper 2017 - Question 58

If K = sin ( π/18) sin (5π/18) sin (7π/18), then what is the value of K?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 58

K = sin 10° ∙ sin 50° ∙ sin 70°
= 1/4 sin 30° = 1/4×1/2 = 1/8

NDA I - Mathematics Question Paper 2017 - Question 59

The expression  is equal to

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 59

NDA I - Mathematics Question Paper 2017 - Question 60

If sin θ = 3 sin(θ + 2α), then the value of tan(θ+ α) + 2 tan α is equal to

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 60

NDA I - Mathematics Question Paper 2017 - Question 61

What is equal to?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 61

NDA I - Mathematics Question Paper 2017 - Question 62

Let f: [−6, 6] → R be defined by f(x) = x2 − 3. Consider the following:

Which of the above is/are correct?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 62


Both 1 and 2 are correct.

NDA I - Mathematics Question Paper 2017 - Question 63

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 63

⟹ f(n) = g(q)

NDA I - Mathematics Question Paper 2017 - Question 64

If ��(x) = then what is equal to?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 64

NDA I - Mathematics Question Paper 2017 - Question 65

What is equal to?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 65

NDA I - Mathematics Question Paper 2017 - Question 66

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 66

Clearly f − g is one-one and onto

NDA I - Mathematics Question Paper 2017 - Question 67

What is the length of the longest interval in which the function is increasing?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 67

NDA I - Mathematics Question Paper 2017 - Question 68

If   and  then what is equal to?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 68

NDA I - Mathematics Question Paper 2017 - Question 69

What is the maximum value of the function 

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 69

Maximum value = 4 + 1 = 5

NDA I - Mathematics Question Paper 2017 - Question 70

Let f(x) be an indefinite integral of sin2 x.
Consider the following statements:

Statement 1: The function f(x) satisfies f(x + π) = f (x) for all real x.

Statement 2: sin2(x + π) = sin2 x for all real x.

Q. Which one of the following is correct in respect of the above statements?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 70

     Statement 2 true

NDA I - Mathematics Question Paper 2017 - Question 71

What are the degree and order respectively of the differential equation

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 71

NDA I - Mathematics Question Paper 2017 - Question 72

What is the differential equation corresponding to  by eliminating a?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 72

NDA I - Mathematics Question Paper 2017 - Question 73

What is the general solution of the differential equation 

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 73

NDA I - Mathematics Question Paper 2017 - Question 74

Let . Then what is f′(5) equal to where f′(x) is the derivative of f(x)]?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 74

NDA I - Mathematics Question Paper 2017 - Question 75

If f (x) and g(x) are continuous functions satisfying f(x) = f(a − x) and g(x) + g(a − x) = 2, then what is  equal to?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 75

NDA I - Mathematics Question Paper 2017 - Question 76

For two department events A and B, it is given that P (A) = 0 ∙ 2 and P(B) = 0 ∙ 5. If A ⊆ B , then the values of conditional probabilities P(A|B) and P(B|A) are respectively.

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 76

NDA I - Mathematics Question Paper 2017 - Question 77

A point is chosen at random inside a circle. What is the probability that the point is closer to the centre of the circle than to its boundary?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 77

Required probability

NDA I - Mathematics Question Paper 2017 - Question 78

If two regression lines between height (x) and weight (y) are 4y − 15x + 410 = 0 and 30x − 2y − 825 = 0, then what will be the correlation coefficient between height and weight?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 78

NDA I - Mathematics Question Paper 2017 - Question 79

In an examination, 40% of candidates got second class. When the data are represented by a pie chart, what is the angle corresponding to second class?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 79

NDA I - Mathematics Question Paper 2017 - Question 80

Consider the following statements:

Statement 1: Range is not a good measure of dispersion.

Statement 2: Range is highly affected by the existence of extreme values.

Q. Which of the following is correct in respect of the above statements?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 80

It is a fundamental concept. So, options ‘a’ is correct.

NDA I - Mathematics Question Paper 2017 - Question 81

A card is drawn from a well-shuffled ordinary deck of 52 cards. What is the probability that it is an ace?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 81

NDA I - Mathematics Question Paper 2017 - Question 82

If the data are moderately non-symmetrical, then which one of the following empirical relationships is correct?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 82

NDA I - Mathematics Question Paper 2017 - Question 83

Data can be represented in which of the following forms?

1. Textual form 2. Tabular form 3. Graphical form Select the correct answer using the code given below:

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 83

Data can be represented in tabular and graphical form.

NDA I - Mathematics Question Paper 2017 - Question 84

For given statistical data, the graphs for less than ogive and more than ogive are drawn. If the point at which the two curves intersect is P, then abscissa of point P gives the value of which one of the following measures of central tendency?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 84

The abscissa of the point of intersection of less than and more than ogive is median.

NDA I - Mathematics Question Paper 2017 - Question 85

Consider the following statements:

1. Two events are mutually exclusive if the occurrence of one event prevents the occurrence of the other.

2. The probability of the union of two mutually exclusive events is the sum of their individual probabilities.
Which of the above statements is/are correct?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 85

Both statements are correct.

NDA I - Mathematics Question Paper 2017 - Question 86

If the regression coefficient of x and y and y on x are − 1/2and − 1/8respectively, then what is the correlation coefficient between x and y?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 86

Result

NDA I - Mathematics Question Paper 2017 - Question 87

A sample of 5 observations has mean 32 and median 33. Later it is found that an observation was recorded incorrectly as 40 instead of 35. If we correct the data, then which one of the following is correct?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 87

Median remains same but the mean will decrease.

NDA I - Mathematics Question Paper 2017 - Question 88

If two fair dice are thrown, then what is the probability that the sum is neither 8 nor 9?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 88

Required probability

NDA I - Mathematics Question Paper 2017 - Question 89

Let A and B are two mutually exclusive events with P (A) = 1/3 and P(B) = 1/4. What is the value of P(A̅ ∩ B̅ )?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 89

NDA I - Mathematics Question Paper 2017 - Question 90

The mean and standard deviation of a binomial distribution are 12 and 2 respectively. What is the number of trials?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 90

NDA I - Mathematics Question Paper 2017 - Question 91

A straight line with direction cosines 〈0, 1, 0〉 is

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 91

Parallel to y-axis.

NDA I - Mathematics Question Paper 2017 - Question 92

(0, 0, 0), (a, 0, 0), (0, b, 0) and (0, 0, c) are four distinct points. What are the coordinates of the point which is equidistant from the four points?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 92

Let O(0, 0, 0) A(a, 0, 0), B(0, b, 0) and C(0, 0, c)  is equidistant from O, A, B and C...

NDA I - Mathematics Question Paper 2017 - Question 93

The points P(3, 2, 4), Q(4, 5, 2), R(5, 8, 0) and S(2, −1, 6) are

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 93

P, Q, R, S are collinear.

NDA I - Mathematics Question Paper 2017 - Question 94

The line passing through the points (1, 2, −1) and (3, −1, 2) meets the yz plane at which one of the following points?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 94

NDA I - Mathematics Question Paper 2017 - Question 95

Under which one of the following conditions are the lines and  perpendicular?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 95

NDA I - Mathematics Question Paper 2017 - Question 96

and  are three coplanar vectors and then  which one of the following is correct?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 96

NDA I - Mathematics Question Paper 2017 - Question 97

Let ABCD be a parallelogram whose diagonals intersect at P and let O be the origin. What is ⃗ equal to? 

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 97

NDA I - Mathematics Question Paper 2017 - Question 98

ABCD is a quadrilateral whose diagonals are AC and BD. Which one of the following is correct?

Detailed Solution for NDA I - Mathematics Question Paper 2017 - Question 98

NDA I - Mathematics Question Paper 2017 - Question 99

If then which one of the following is correct?