NDA & NA (I) 2026 — Mathematics (Full Question Paper)

AlgebraComplex NumbersPermutations & CombinatoricsMatrices & DeterminantsSets & RelationsTrigonometryCoordinate GeometryVectorsCalculusProbability & Statistics

Questions 1–10

1.Algebra

Let p, q and r be three unequal numbers such that p, q and r are in AP. If (q – p), (r – q) and p are in GP, then (p + q) : (q + r) : (r + p) equals

(a) 1 : 2 : 3
(b) 3 : 4 : 5
(c) 3 : 5 : 4
(d) 1 : 3 : 2

2.Algebra

If p, g₁, g₂ and q are in GP and m is the arithmetic mean of p and q, then g₁²g₂ + g₂²g₁ is equal to

(a) m
(b) 2m
(c) 1
(d) 1/2

3.Complex Numbers

Consider the following inequalities:

I.1 + 4i > 3 + 2i
II.2 + 3i < 3 + 4i
III.4 + 3i > 3 + 4i

where i = √-1 How many of the above are valid?

(a) None
(b) One
(c) Two
(d) All the three

4.Complex Numbers

Let Z₁ and Z₂ be complex numbers such that 3Z₁4Z₂ is purely imaginary. What is |Z₁+Z₂Z₁-Z₂| equal to?

(a) 2
(b) 3/2
(c) 5/4
(d) 1

5.Complex Numbers

If α, β, γ are cube roots of -8, then what is α²p² + β²q² + γ²r²β²p² + γ²q² + α²r² equal to?

(a) γ/α
(b) γ/β
(c) 2γ/α
(d) 2γ/β

6.Algebra

The sum of the first n terms of an AP is 3n² + 5n. If the m-th term of the AP is 68, then what is the value of m?

(a) 9
(b) 10
(c) 11
(d) 12

7.Permutations & Combinatorics

A set S contains (2n + 1) elements. If the number of subsets of S which contain at most n elements is 1024, then what is the value of n?

(a) 10
(b) 8
(c) 6
(d) 5

8.Permutations & Combinatorics

What is the maximum number of points of intersection of 5 circles?

(a) 10
(b) 15
(c) 20
(d) 25

9.Permutations & Combinatorics

What is the greatest value of r satisfying the inequality ¹⁵C_r+1 > 2 × ¹⁵C_r?

(a) 2
(b) 3
(c) 4
(d) 5

10.Permutations & Combinatorics

If n = ^mC₂ then what is ⁿC₂ equal to?

(a) ^m+1C₄
(b) 2 × ^m+1C₄
(c) 3 × ^m+1C₄
(d) ^m+2C₄

Questions 11–20

11.Algebra

If the highest degree coefficient is equal to 1, then what is the total number of quadratic equations which are unchanged on squaring their roots?

(a) 6
(b) 4
(c) 2
(d) None

12.Algebra

Let α and β be the roots of the quadratic equation x² – 2bx + c² = 0 where b, c are positive real numbers. Let A be the arithmetic mean of α and β; and G be the geometric mean of α and β. What are the roots of the quadratic equation x² – (b+c)x + bc = 0?

(a) A, G
(b) 2A, G
(c) A, 2G
(d) 2A, 2G

13.Algebra

If 1 – log₁₀ 2 = log₁₀(5^x + 4^x + 3^x + 2^x + 1), then what is a value of x?

(a) 10
(b) 5
(c) 1
(d) 0

14.Matrices & Determinants

Let f(x) = |

3x²	cos x	-sin x
6	-1	0
q	q²	q³

| where q is any constant, then what is d²/dx² (f(x)) at x = 0 equal to?

(a) -1
(b) 0
(c) 1
(d) q

15.Matrices & Determinants

If |

a-b	p-q	x-y
b-c	q-r	y-z
c-a	r-p	z-x

| = k · |

a	b	c
p	q	r
x	y	z

|, then what is the value of k?

(a) -1
(b) 0
(c) 1/2
(d) 1

16.Matrices & Determinants

If p, q, r are the cube roots of unity, then what is |

p²+q²	r²	r²
p²	q²+r²	p²
q²	q²	r²+p²

| equal to?

(a) -1
(b) 0
(c) 1
(d) 4

17.Matrices & Determinants

If A is a square matrix such that |A| = -2, then |AA^T|, where A^T is the transpose of A, is equal to

(a) -4
(b) 1
(c) 2
(d) 4

18.Matrices & Determinants

Consider the following statements:

I.If n × n (n > 1) matrix is symmetric, then its inverse is also a symmetric matrix.
II.If n × n (n > 1) matrix is singular, then its adjoint is also a singular matrix.

Which of the statements given above is/are correct?

(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II

19.Matrices & Determinants

If M = [

2	0	0
0	2	0
0	0	2

], then what is the value of |M| |adjM|?

(a) 8
(b) 64
(c) 256
(d) 512

20.Matrices & Determinants

If M_k = [

k	k-1
k-1	k

] where k is a natural number, then what is |M₁| + |M₂| + |M₃| + … + |M₅₀| equal to?

(a) 50
(b) 1250
(c) 2500
(d) 5000

Questions 21–30

21.Matrices & Determinants

If M^T is the transpose of a 2 × 2 matrix M, then which of the following is/are correct?

I.|M+M^T| = |M| + |M^T| if M is symmetric.
II.|M+M^T| = 0 if M is anti-symmetric.

Select the answer using the code given below:

(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II

22.Matrices & Determinants

If M is a square matrix such that M³ = M, then how many values of |M| are possible?

(a) One
(b) Two
(c) Three
(d) Four

23.Matrices & Determinants

Let p = (x + y + z) and q = xyz. If |

x	1	1
1	y	1
1	1	z

| is positive, then which one of the following is correct?

(a) q > p
(b) q + 1 > p
(c) q + 2 > p
(d) q + 2 ≥ p

24.Sets & Relations

What is (((A∩B) ∪ (A-B)) – ((A∩B) ∪ (B-A))) ∪ A equal to?

(a) φ
(b) A
(c) B
(d) A∪B

25.Sets & Relations

Let A and B be two sets. For some set C, both A∩C and B∩C are empty sets and A∪C = B∪C. Which of the following is/are true?

I.C = φ
II.A = B
III.A∪B = C

Select the answer using the code given below:

(a) I only
(b) II only
(c) I and II only
(d) I, II and III

26.Trigonometry

If 2 sec 4β = tan 2α + cot 2α, then which one of the following is a possible value of (α + β)?

(a) π/2
(b) π/4
(c) π/6
(d) π/8

27.Trigonometry

If α and β are complementary angles such that α – β = π/6 and m tanβ = n tanα, then what is m+nm-n equal to?

(a) 2
(b) 2/√3
(c) 1
(d) 1/√3

28.Trigonometry

If x = secθ – tanθ and y = cosecθ + cotθ, then which one of the following is correct?

(a) x + y – xy – 1 = 0
(b) x – y + xy + 1 = 0
(c) x + y + xy – 1 = 0
(d) x – y + xy – 1 = 0

29.Trigonometry

If cosθ = 1/3, then what is the value of sin(θ/2) sin(3θ/2)?

(a) 5/9
(b) 7/9
(c) 10/9
(d) 11/9

30.Trigonometry

cos x + √3 sin x is maximum when x is equal to

(a) π/2
(b) π/3
(c) π/4
(d) π/6

Questions 31–40

31.Trigonometry

If θ lies in the fourth quadrant and 3 cot θ + 4 = 0, then what is the value of sin 2θ + cos 2θ?

(a) -31/25
(b) -17/25
(c) 0
(d) 1

32.Trigonometry

If cosα + cosβ = 0 = sinα + sinβ, α ≠ β then what is a value of cos 2α + cos 2β + 2 cos(α + β)?

(a) 0
(b) 1
(c) 2
(d) 4

33.Trigonometry

In a triangle ABC, sin A = cos B + cos C then what is tan(B/2) + cot(B/2) equal to?

(a) 1
(b) √2
(c) √3
(d) 2

34.Trigonometry

Consider the following in respect of inverse circular functions:

I.sin^-1(-x) = -sin^-1(x)
II.cos^-1(-x) = cos^-1(x)
III.tan^-1(-x) = π – tan^-1(x)
IV.cot^-1(-x) = π – cot^-1(x)

How many of the above are correct?

(a) One
(b) Two
(c) Three
(d) All the four

35.Trigonometry

What is tan[2tan^-1(1/2) – π/4] equal to?

(a) -7
(b) 0
(c) 1/5
(d) 1/7

36.Trigonometry

The angles A, B and C of a triangle are in the ratio 1 : 1 : 4. If the longest side of the triangle is 3 units, then what is the perimeter of the triangle?

(a) 3 + √3 units
(b) 3 + 2√3 units
(c) 3 + 3√3 units
(d) 6 + √3 units

37.Trigonometry

In a triangle ABC, if a, b and c are the lengths of the sides opposite to the angles A, B and C respectively, then what is sin(A-B)sin(A+B) equal to?

(a) a²a²-b²
(b) a²a²+b²
(c) a²-b²c²
(d) a²-b²b²

38.Trigonometry

What is the smallest positive x satisfying log_sinx cosx + log_cosx sinx = 2?

(a) π/2
(b) π/3
(c) π/4
(d) π/6

39.Trigonometry

A plane is observed to be approaching the airport. It is at a distance of 10 km from the point of observation and makes an angle of elevation of 67.5°. What is the height of the plane above the ground?

(a) 10√2+√2 km
(b) 10√2-√2 km
(c) 5√2+√2 km
(d) 5√2-√2 km

40.Trigonometry

What is the length of the chord of a unit circle which subtends at the centre of the circle an angle of 45°?

(a) 2√2+√2 units
(b) 2√2-√2 units
(c) √2+√2 units
(d) √2-√2 units

Questions 41–50

41.Sets & Relations

Let R be a relation on the set N of natural numbers defined by R = {(x, y) : x, y ∈ N and x = y³}. Which of the following statements is/are correct?

I.R is symmetric relation
II.R is transitive relation

Select the answer using the code given below:

(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II

42.Algebra

For a given k, what is the minimum value of x² + kx + k²?

(a) 0
(b) k²/4
(c) 3k²/4
(d) k²/2

43.Algebra

Consider the following statements:

I.√x + x + 1 = 0 has two irrational roots.
II.5√x – x – 4 = 0 has two rational roots.

Which of the statements given above is/are correct?

(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II

44.Permutations & Combinatorics

How many numbers greater than 1000 can be formed using the digits 0, 1, 2 and 3 (repetition of digits is not allowed)?

(a) 24
(b) 18
(c) 15
(d) 12

45.Algebra

If p-th term of an AP is k, then what is the sum of p-th term, (p+q)-th term and (p-q)-th term of the AP?

(a) 2k
(b) 3k
(c) 4k
(d) 5k

46.Algebra

Consider the following statements:

I.(u + v + f) is an integer.
II.(f + v) is an integer.

Which of the statements given above is/are correct?

(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II

47.Algebra

What is the multiplicative inverse of (√2+1)²⁰?

(a) v
(b) v² – 1
(c) v²
(d) v² + 1

48.Algebra

What is the value of (v + f)?

(a) 2
(b) 1
(c) 0.5
(d) 0.25

49.Algebra

What is the value of u?

(a) 9725
(b) 6971
(c) 6726
(d) 6725

50.Algebra

What is the value of uv?

(a) 1
(b) 2
(c) 0 < uv < 1
(d) 1 < uv < 2

Questions 51–60

51.Coordinate Geometry

What is the value of α?

(a) 30°
(b) 45°
(c) 60°
(d) 90°

52.Coordinate Geometry

What is the angle made by the line L with positive direction of y-axis?

(a) 30°
(b) 45°
(c) 60°
(d) 90°

53.Coordinate Geometry

Consider the following statements:

I.PQ is parallel to RS.
II.PR is perpendicular to QS.

Which of the statements given above is/are correct?

(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II

54.Coordinate Geometry

What is (PQ² + 2QS² – 2PR²) equal to?

(a) -1
(b) 0
(c) 1
(d) 2

55.Coordinate Geometry

What is the equation of the line L?

(a) 1 – x = y + 2 = 3 – z
(b) -(x + 1) = y – 2 = z + 3
(c) 3x + 3 = 2y – 4 = 6z + 18
(d) 3x – 3 = 2y + 4 = 6z – 18

56.Coordinate Geometry

What are the direction ratios of a line M parallel to the plane P?

(a) <-3, 2, 1>
(b) <3, 2, -6>
(c) <1, 3, 2>
(d) <2, 2, -10>

57.Coordinate Geometry

If p, q and r are in AP, then the points X, Y and Z are

(a) on a straight line
(b) on a circle
(c) on a parabola
(d) the vertices of a triangle

58.Coordinate Geometry

If p, q and r are not in AP and b = c, then the line joining the points X, Y and Z is parallel to

(a) y-axis
(b) x-axis
(c) y = x
(d) y = -x

59.Coordinate Geometry

If the points lie on a circle, then what is/are the possible value(s) of k?

(a) 2 only
(b) 5 only
(c) 2, 17
(d) 5, 17

60.Coordinate Geometry

If a circle is drawn through A, B and D, then what is the diameter of the circle?

(a) 3√10
(b) 5√10
(c) 3√12
(d) 5√12

Questions 61–70

61.Coordinate Geometry

What is the value of p?

(a) √7
(b) 3
(c) 7
(d) 9

62.Coordinate Geometry

What is the difference between the eccentricities of the hyperbola and the ellipse?

(a) 0.5
(b) 0.75
(c) 1.0
(d) 1.25

63.Coordinate Geometry

What is the radius of the sphere passing through origin and concentric with the sphere S?

(a) 7/2
(b) 5
(c) 7
(d) Cannot be determined due to insufficient data

64.Coordinate Geometry

If the radius of the sphere S is 8 units, what is the value of k?

(a) -15
(b) 7
(c) 10
(d) 15

65.Vectors

What is the angle between a→ and b→?

(a) π/6
(b) π/4
(c) π/2
(d) 2π/3

66.Vectors

What is the angle between a→ and c→?

(a) π/6
(b) π/4
(c) π/2
(d) 2π/3

67.Vectors

Consider the following statements:

I.a→, b→, c→ are orthogonal in pairs.
II.a→, b→, c→ are unit vectors.

Which of the statements given above is/are correct?

(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II

68.Vectors

Consider the following statements:

I.(a→ × b→) · c→ + (b→ × c→) · a→ = (c→ × a→) · b→
II.{(a→ × b→) × (b→ × c→)} · b→ = 1

Which of the statements given above is/are correct?

(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II

69.Vectors

What is the value of (p + q)?

(a) 1/2
(b) 1
(c) 3/2
(d) 2

70.Vectors

What is the value of r²?

(a) 4
(b) 2
(c) 1
(d) 1/2

Questions 71–80

71.Calculus

If f(x) is differentiable at x = a, then consider the following statements:

I.f(x) is continuous at x = a
II.limx→a f(x) = f(a)

Which of the statements given above is/are correct?

(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II

72.Calculus

What is limx→1 x^n²-1 – 1xⁿ⁺¹ – 1 equal to, where n > 1 is a natural number?

(a) 0
(b) 1
(c) n – 1
(d) n + 1

73.Calculus

What is limx→0 10^sinx – 1tanx equal to?

(a) 0
(b) 1
(c) ln 10
(d) log₁₀ e

74.Calculus

What is the derivative of x/|x| with respect to x, where x < 0?

(a) -1
(b) 0
(c) 1
(d) x

75.Calculus

Consider the following statements in respect of the function f(x) = x in the interval (-1, 1):

I.The function attains maximum value.
II.The function attains minimum value.

Which of the statements given above is/are correct?

(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II

76.Calculus

If ⁴√y = x + √x²+4, then what is √x²+4 · dy/dx equal to?

(a) y/4
(b) y
(c) 2y
(d) 4y

77.Calculus

What is the length of the longest interval in which the function f(x) = 2cos² x – 1 is decreasing?

(a) 2π
(b) π
(c) π/2
(d) π/4

78.Calculus

If A and B are acute angles such that 2A + 2B = π, then what is the maximum value of sinA.sinB?

(a) 1/2
(b) 1/4
(c) √3/4
(d) 1

79.Calculus

What is the solution of the differential equation cos(dy/dx) = p when y(0) = q?

(a) cos((y-q)/x) = p
(b) cos((y-p)/x) = q
(c) cos^-1((y-q)/x) = p
(d) cos^-1((y-p)/x) = q

80.Algebra

If 2f(x) + f(1-x) = x, then what is f(x) equal to?

(a) x – 1
(b) x – (1/3)
(c) 2x
(d) 2x – 1

Questions 81–90

81.Calculus

What is dy/dx equal to?

(a) y/(1-xy)
(b) y/(1+xy)
(c) y²/(1-xy)
(d) y²/(1+xy)

82.Calculus

What is dy/dx equal to, given that y = y₀ when x = 1?

(a) -y₀/(1+e^y₀)
(b) –y₀ e^y₀1+e^y₀
(c) y₀ e^y₀1+e^y₀
(d) y₀ e^y₀1-e^y₀

83.Calculus

What is the value of k?

(a) π/4
(b) π/2
(c) π
(d) 2π

84.Calculus

What is ∫₀^π/2 a cosx + b sinxsinx+cosx dx equal to?

(a) k
(b) 2k
(c) k(a+b)
(d) k/(a+b)

85.Calculus

What is T equal to?

(a) {x ≤ 2} ∪ {x ≥ 3}
(b) {x < 2} ∪ {x > 3}
(c) (2, 3)
(d) [2, 3]

86.Calculus

What is S equal to?

(a) {x ≤ 2} ∪ {x ≥ 3}
(b) {x < 2} ∪ {x > 3}
(c) (2, 3)
(d) [2, 3]

87.Calculus

What is the area between the curve y = sinx and the x-axis in the interval [π/4, π/2]?

(a) k
(b) 1 – k
(c) (π-k)/2
(d) (π-2k)/2

88.Calculus

What is the area between the curve y = cosx and the x-axis in the interval [π/4, π/2]?

(a) k
(b) 1 – k
(c) (π-k)/2
(d) (π-2k)/2

89.Calculus

What is the number of points of intersection of the curves?

(a) 4
(b) 3
(c) 2
(d) None

90.Calculus

What is the area bounded by the curves, the lines x = 0 and x = 1?

(a) 1 square unit
(b) 2/3 square unit
(c) 1/2 square unit
(d) 1/3 square unit

Questions 91–100

91.Calculus

What is the value of A?

(a) -2/5
(b) -1/5
(c) 1/5
(d) 2/5

92.Calculus

What is the value of B?

(a) -2/5
(b) -1/5
(c) 1/5
(d) 2/5

93.Calculus

What is ∫₀⁴ f(x)/g(x) dx equal to?

(a) 0
(b) 1
(c) 2
(d) 4

94.Calculus

What is ∫₀⁴ f(4-x)/g(4-x) dx equal to?

(a) 0
(b) 1
(c) 2
(d) 4

95.Calculus

What is the value of p?

(a) -1
(b) -1/3
(c) 1/3
(d) 1

96.Calculus

What is the value of q?

(a) -1
(b) -1/3
(c) 1/3
(d) 1

97.Calculus

What is (d²y/dx²)(dx/dy)² equal to?

(a) -2
(b) -1
(c) 0
(d) 2

Consider the differential equation e^x+y dy/dx = e^x-y:

98.Calculus

What is the solution of the differential equation with y(0) = 0?

(a) y = ln(2x + 1)
(b) y = ln(2x – 1)
(c) 2y = ln(2x + 1)
(d) 2y = ln(2x – 1)

99.Calculus

If p(x) = f(x)g(x), then which of the following statements is/are correct?

I.p(x) is continuous at x = 0.
II.p(x) is differentiable at x = 0.

Select the answer using the code given below:

(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II

100.Calculus

If q(x) = f∘g(x), then which of the following statements is/are correct?

I.q(x) is continuous at x = 0.
II.q(x) is differentiable at x = 0.

Select the answer using the code given below:

(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II

Questions 101–110

101.Probability & Statistics

What is the probability that the number selected is divisible by 2?

(a) 5/8
(b) 3/8
(c) 1/8
(d) 5/24

102.Probability & Statistics

What is the probability that the number selected is divisible by 3?

(a) 9/28
(b) 3/8
(c) 3/16
(d) 8/25

103.Probability & Statistics

What is the probability that the number selected is divisible by 4?

(a) 1/2
(b) 7/16
(c) 9/16
(d) 5/16

104.Probability & Statistics

What is the probability that the number selected is divisible by 6?

(a) 7/48
(b) 2/3
(c) 1/4
(d) 3/8

105.Probability & Statistics

What is the probability that the number selected does not contain zero at any position?

(a) 0.12
(b) 0.25
(c) 0.375
(d) 0.45

106.Probability & Statistics

What is P(A) + P(B) + P(C) equal to?

(a) 5/9
(b) 1/18
(c) 2/21
(d) 7/13

107.Probability & Statistics

What is [2P(A) + 3P(B)] / [4P(C) + 5P(D)] equal to?

(a) 13/18
(b) 13/60
(c) 4/21
(d) 5/28

108.Probability & Statistics

If G is the geometric mean of P(A), P(B), P(C) and P(D), then what is 9G equal to?

(a) 17^1/4
(b) 15^1/4
(c) 13^1/4
(d) 11^1/4

109.Probability & Statistics

What is the probability that getting a total of the numbers on the dice is 6?

(a) 1/216
(b) 1/324
(c) 5/648
(d) 7/648

110.Probability & Statistics

What is the probability that getting a total of the numbers on the dice is at least 23?

(a) 1/1296
(b) 1/432
(c) 1/324
(d) 5/1296

Questions 111–120

111.Probability & Statistics

Let two lines of regression be x + y + 11 = 0 and 2x + 3y + 4 = 0 for some data. What is the value of correlation coefficient between x and y?

(a) -√2/3
(b) -√1/6
(c) √2/3
(d) √1/6

112.Probability & Statistics

If the mean of 20 observations, namely x₁, x₂, x₃, …, x₂₀ is 1.414, then what is the value of 20Σi=1 100(2x_i + 4)?

(a) 24168
(b) 20828
(c) 15248
(d) 13656

113.Probability & Statistics

In an entrance test there are multiple choice questions. There are four options for each question, of which only one is correct. The probability that a student knows the answer to a question is 90%. If he gets the correct answer to a question, then what is the probability that he was guessing?

(a) 37/40
(b) 36/37
(c) 1/37
(d) 1/40

114.Probability & Statistics

Consider the following statements in respect of the events A, B, C:

I.(A∪B∪C) ∩ (A ∩ B ∩ C) is an impossible event.
II.(A∩B∩C) ∩ (A ∪ B ∪ C) is a possible event.

Which of the statements given above is/are correct?

(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II

115.Probability & Statistics

The standard deviation of 100 observations is 10. If 5 is multiplied to each of the observations, then what is the new standard deviation?

(a) 20
(b) 25
(c) 40
(d) 50

116.Probability & Statistics

For a Binomial distribution with mean 6 and standard deviation √2, what is the value of P(X = 0)?

(a) (1/3)⁹
(b) (2/3)⁹
(c) (1/3)(2/3)⁸
(d) (2/3)(1/3)⁸

117.Probability & Statistics

If the random variable X has mean 3 and standard deviation 5, then what is the variance of the random variable Y = 2X – 5?

(a) 15
(b) 40
(c) 45
(d) 100

118.Probability & Statistics

Three events A, B and C are such that A and B are disjoint, A and C are independent, B and C are independent. If 4P(A) = 2P(B) = P(C) and P(A∪B∪C) = 5P(A), then what is the value of P(C)?

(a) 5/6
(b) 1/3
(c) 1/6
(d) 2/3

119.Probability & Statistics

What is the mean deviation about the arithmetic mean?

(a) 5.5
(b) 6
(c) 6.5
(d) 8

120.Probability & Statistics

What is the standard deviation?

(a) 8.5
(b) 9
(c) 9.5
(d) 10

English-language questions transcribed from the official National Defence Academy and Naval Academy Examination (I), 2026 question booklet (NPSS-A-HMT), Series A, Mathematics. Hindi text omitted. Answer key not included.

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