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Boards paper leak 2026-27

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It is the final boards paper of 2025-26

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SECTION -A
Q. Numnber 1 to 20 are multiple choice questions of 1 mark each.
1.
The distancebetween the points
is
(a cos 0 +b sin9, 0) and (0, a sin – b cos )
(A) Va²+b2 (B) a2- b2
(C) Va'-b? (D) a2+ b2
2
An ice-cream cone of radius r and height h is completely filled by two

Spherical scoopes of ice-cream. If radius of each spherical scoop is then
2'
h: 2r equals
(A) 1: 8 (B) 1: 2

(C) 1:1 (D) 2:1
3. The value
6x- 2y -3=0has
of k for which the system of linear equations k-y – 2=0and
infinitely many solutions,is (does)
1
(A) (B) 3
(C) 4 (D) Not exist
4. A circle divided into 16
is identical sectors. If radius of the circle is 7 cm,
area of each sector is
77
(A) cm2 (B) 77 cm2
4
(C) 154 cm2 77
D) cm2
5. Mean and Median of a frequency distributionare 43 and 40 respectively.
The value of mode is
(A) 34 (B) 43
(C) 38.5 (D) 41.5
6. Three tennis balls are just packed in a cylindricaljar. If radius of each
ball is r, volume of air inside the jar is




o (A) 2r3 (B) 3rr3
(C) 5r3 (D) 4r3

30/4/3 {} Page 5of24 P.T.O.

, 16. Ifsum of
first ten
the terms of an A.P. is zero with
common a as the first term and d,
(A) difference, which

.(C)
1Oa
a1o=-a
+ 9d=0 of thefollowing
(B) 2a =9d
relation istrue


(D) aj0 =a
17. Two dice are rolled
obtained is together. The probability that sum of thenumbers
atmost 12, is
(A) 1
1 (B) 0
(C)
2 35
(D)
36

T. Arc PQ subtends an angle A at the
centre of the circle with radius
6.3 Cm.
If PQ =11 cm,then the value ofO is
(A) 10°
(B) 60°
(C) 45°
(D) 100°

(Assertion and Reason based Questions)
Direction :
Question Numbers 19and 20 are Assertion (A) and Reason (R)
based questions. Two statements are given, one labelled Assertion (A)
and
the other labelled Reason (R). Select the correct answer from the options
(A), (B), (C) and (D) as given below:
(A) Both Assertion (A) and Reason (R)are true and Reason (R)is the
correct explanation of the Assertion (A).
(B) Both Assertion (A) and Reason (R) are true, but Reason (R)is not the
correct explanation of Assertion (A).
(C) Assertion (A) is true,but Reason (R) is false.
(D) Assertion (A)is false, but Reason (R) is true.


19. Assertion (A): happening an event
If probability of of is 0.2p, p> 0,
then p be more than can't 5.

Reason (R) : P(E)=1-P(E) an event E. for



20. Assertion (A) : (V3t 5) an number. is irrational

Reason (R) : Sum of the any two
irrational.
irrational numbers is always



30/4/3 Page 11 of24 P.T.0.

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