Mathematics · Class 11 Science

Jharkhand Jac Class 11 Mathematics — Real Previous-Year Papers

with complete answers

Real previous-year board papers, year by year — the official exam pattern, the full question paper, and every question solved the concept-first way. Distinct from the chapter-wise textbook bank.

2020–2026
Years of papers: 7
Total Papers: 7
Real Board Papers: 0
Sample papers: 257
Real-paper Q & A: 0
Sample-paper Q & A

Real board-paper questions available, by year

40 Q2026complete

40 Q2025complete

40 Q2024complete

39 Q2023complete

59 Q20222 sets

—2021Likely no exam held (COVID-19)

39 Q2020complete

—2019Paper not available

—2018Paper not available

2021 — Likely no exam held (COVID-19): JAC confirmed the Class-12 (Intermediate 2nd Year) examination was cancelled in 2021 due to COVID-19, and no source we check lists any 2021 paper for Class-11 either — strongly suggesting the same cancellation applied, though no source names Class-11 explicitly. We publish only a paper we can verify against a real printed original, so we show none rather than an unconfirmed copy.

2019 — Paper not available: The JAC Intermediate 1st Year exam was presumably held this year, but no verified question paper for this subject has been published by any source we check — the official archive and the public past-paper archives. We publish only a paper we can verify against a real printed original — it will appear here once it is.

2018 — Paper not available: The JAC Intermediate 1st Year exam was presumably held this year, but no verified question paper for this subject has been published by any source we check — the official archive and the public past-paper archives. We publish only a paper we can verify against a real printed original — it will appear here once it is.

JAC Intermediate Board (1st Year) 2026 · Set ANNUAL

Real board examination

About this paper

The real Class-12 board examination held in 2026. Every question below is solved the concept-first way. Sample papers are labelled honestly — never shown as a past exam.

Total marks: 40
Questions: 40
Duration: 60 min
Sections: 1

The marks / questions / duration above are the official exam pattern. We currently have 40 of this paper’s questions (100% of the full paper), with 40 fully solved. Questions we couldn’t yet extract or verify are held — never shown as complete.

Sections & marks

Section	Type	Questions	Marks each	Total
ASection A	mcq	40	1	40
Total		40		40

The question paper

The questions we hold for this paper, laid out by section. Solutions are on the Answers tab.

Board Examination

Mathematics

JAC Intermediate Board (1st Year) 2026 · Set ANNUAL

Series/Set: ANNUALRoll No. ________

Time Allowed: 1 hourMaximum Marks: 40

General Instructions

This question paper contains 40 questions divided into 1 sections — A.
Section A comprises 40 questions of 1 mark each (mcq).

Above is the official exam pattern. The questions printed below are those we currently hold for this paper.

Section A

mcq · 1 mark each · 40 of 40 shown

Q1.

Roster form of the set

\{x : x \text{ is an integer}, x^2 \le 4\}

(a) $\{1, 2\}$
(b) $\{0, 1, 2\}$
(c) $\{-2, -1, 0, 1, 2\}$
(d) $\{-2, 2\}$

[1]

Q2.

The set of animals living on the earth is a

(a) Finite set
(b) Infinite set
(c) Empty set
(d) None of these

[1]

Q3.

Interval form of the set

\{x : x \in R, -4 < x \le 6\}

(a) $[-4, 6]$
(b) $(-4, 6)$
(c) $(-4, 6]$
(d) $[-4, 6)$

[1]

Q4.

\left(\dfrac{x}{3}+1, y-\dfrac{2}{3}\right) = \left(\dfrac{5}{3}, \dfrac{1}{3}\right)

then the value of

x

(a) 1
(b) 2
(c) 3
(d) None of these

[1]

Q5.

A = \{1, 2\}

and

B = \{3, 4, 5\}

then number of relations from

A

B

(a) 6
(b) 36
(c) 32
(d) 64

[1]

Q6.

f(x) = x^3 - \dfrac{1}{x^3}

, then

f(x) + f\left(\dfrac{1}{x}\right)

is equal to

(a) $2x^3$
(b) $\dfrac{2}{x^3}$
(c) 0
(d) 1

[1]

Q7.

The range of

f(x) = x^2 + 3

for

x \in R

(a) $[3, \infty)$
(b) $(-\infty, 3]$
(c) $(3, \infty)$
(d) $(-\infty, 3) \cup (3, \infty)$

[1]

Page 1 of 5

Q8.

Radian measure of 40°20' is (a) (12π)/(540) (b) (121π)/(540) (c) (π)/(540) (d) None of these

[1]

Q9.

The value of sin (31π)/(3) is (a) dfrac√(3)2 (b) -dfrac√(3)2 (c) (1)/(2) (d) dfrac1√(2)

[1]

Q10.

tan 15° = ? (a) 2 + √(3) (b) 2 - √(3) (c) dfrac1√(3) (d) √(3)

[1]

Q11.

If tan x = (3)/(4), π < x < (3π)/(2) then the value of sin (x)/(2) is (a) -dfrac1√(10) (b) dfrac1√(10) (c) dfrac3√(10) (d) None of these

[1]

Q12.

The multiplicative inverse of √(5) + 3i is (a) √(5) - 3i (b) dfrac√(5)14 + i · (3)/(14) (c) dfrac√(5)14 - i · (3)/(14) (d) 3 - √(5)i

[1]

Q13.

The modulus of (1+i)/(1-i) - (1-i)/(1+i) is (a) 2 (b) -2 (c) 1 (d) -1

[1]

Q14.

If ((1+i)/(1-i))m = 1 then the least integral value of m is (a) 1 (b) 2 (c) 3 (d) 4

[1]

Q15.

Solution of 4x + 3 < 6x + 7, x ∈ R is (a) (-∞, -2) (b) (-2, ∞) (c) (2, ∞) (d) (-∞, 2)

[1]

Q16.

Solution of (x)/(3) > (x)/(2) + 1, x ∈ R is (a) (-6, ∞) (b) (-∞, -6) (c) (-∞, 6) (d) None of these

[1]

Q17.

Solution of -8 ≤ 5x - 3 < 7, x ∈ R is (a) [-1, 2) (b) (-1, 2) (c) (-1, 2] (d) [-1, 2]

[1]

Q18.

If (1)/(6!) + (1)/(7!) = (x)/(8!) then value of x is (a) 56 (b) 64 (c) 48 (d) None of these

[1]

Page 2 of 5

Q19.

If dfracⁿP₄ⁿ⁻¹P₄ = (5)/(3) then the value of n is (a) 20 (b) 2 (c) 10 (d) 1

[1]

Q20.

If ⁿC₈ = ⁿC₂ then the value of ⁿC₂ is (a) 54 (b) 10 (c) 45 (d) None of these

[1]

Q21.

Total number of terms in the expansion of (x-y)⁹ is (a) 9 (b) 10 (c) 8 (d) 11

[1]

Q22.

Σr=0ⁿ 2rⁿCr = ? (a) 4ⁿ (b) 3ⁿ (c) 2ⁿ (d) None of these

[1]

Q23.

How many chords can be drawn through 21 points on a circle? (a) 420 (b) ²¹P₂ (c) 21 (d) 210

[1]

Q24.

20th term of the G.P. (5)/(2), (5)/(4), (5)/(8), … (a) dfrac52²⁰ (b) dfrac12²⁰ (c) dfrac52¹⁹ (d) dfrac52¹⁸

[1]

Q25.

Which term of the sequence √(3), 3, 3√(3), … is 729? (a) 9th (b) 12th (c) 13th (d) 11th

[1]

Q26.

Given a G.P. with a = 729 and 7th term 64, then S₇ = ? (a) 2187 (b) 64 (c) 2159 (d) 2059

[1]

Q27.

Slope of the line which makes an angle of 30° with the positive direction of y-axis measured anticlockwise is (a) -√(3) (b) -dfrac1√(3) (c) dfrac1√(3) (d) √(3)

[1]

Q28.

Equation of the line passing through the points (-4, 3) with slope (1)/(2) is (a) x - 2y + 10 = 0 (b) x - 2y - 10 = 0 (c) 2x - y + 10 = 0 (d) x + 2y + 10 = 0

[1]

Page 3 of 5

Q29.

Distance of the point (3, -5) from the line 3x - 4y - 26 = 0 is (a) (5)/(3) (b) (3)/(5) (c) 0 (d) None of these

[1]

Q30.

Centre of the circle x² + y² + 8x + 10y - 8 = 0 is (a) (8, 10) (b) (4, 5) (c) (-4, 5) (d) (-4, -5)

[1]

Q31.

The co-ordinates of the focus of the parabola x² = -16y are (a) (0, -4) (b) (0, 4) (c) (4, 0) (d) (-4, 0)

[1]

Q32.

Eccentricity of the ellipse (x²)/(16) + (y²)/(9) = 1 is (a) dfrac√(7)2 (b) (5)/(3) (c) dfrac√(7)3 (d) dfrac√(7)4

[1]

Q33.

Distance between the points P(1, -3, 4) and Q(-4, 1, 2) is (a) 5√(3) unit (b) 7 unit (c) 3√(5) unit (d) 5 unit

[1]

Q34.

limx → 0 dfrac√(1+x)-1x = ? (a) 0 (b) (1)/(2) (c) 1 (d) None of these

[1]

Q35.

limx → 0 (sin 4x)/(sin 2x) = ? (a) 0 (b) 2 (c) (1)/(2) (d) 1

[1]

Q36.

Derivative of cot x is (a) sec² x (b) -csc² x (c) csc² x (d) csc x cot x

[1]

Q37.

Derivative of f(x) = (x+1)/(x) is (a) -(1)/(x²) (b) (1)/(x²) (c) 1 - (1)/(x²) (d) 1 + (1)/(x²)

[1]

Q38.

If the variance of the data is 144 then the standard deviation of the data is (a) 144 (b) -12 (c) 12 (d) 14

[1]

Q39.

Three coins are tossed once. Probability of getting 2 heads is (a) (3)/(8) (b) (1)/(8) (c) (1)/(4) (d) (1)/(2)

[1]

Page 4 of 5

Q40.

If E and F are events such that P(E) = (1)/(4), P(F) = (1)/(2) and P(E and F) = (1)/(8) then the value of P(not E and not F) is (a) (3)/(4) (b) (7)/(8) (c) (3)/(8) (d) (5)/(8)

[1]

Page 5 of 5