Uttarakhand Board Class 12 Question Paper 2024 for Agricultural Maths and Elementary Statistics

UTTRAKHAND BOARD

Question Paper

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Roll No. No. of printed pages : 4

138 438 (rKU)
2424
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Agricultural Mathernatics and Elementary Statistics (Paper-V)
(arrdEfr arf qrlr-I bs&eTrftfdibftet
(Onty for Agriculture Part-I)
rr$rq'3qutl tryrfo:s0
Tirne:3Hoursl [Max.N'Iarks:50
ftdq ' (i) {s sqq-qu{ ti gm 7 sFT d t s$ ,eq 3fffrd d
1 t

(ii) qd6 rq{ &. 3io. rvb HEq fui rd di
(iii) qq{ sqi 1 61ds6{ Htiies{ib er or fuqrrc m< gk-oi ttfiBst
(iv) qryq qE{ t 3{Rrr{ CBE 3f{ 3i-f, ro er& argsl a} vsq q 3rrdT e} ss q{ Trrfq
qEqndfut
(v) ssft {E mrd e+q+ ra<-gk--o-r d s1fut
Note:(i) There are in all 17 questions in this question paper. All questions are
compulsory.
(ii) Marks aliotted to each question are given against it.
(iii) Write the steps of solution of each question in your answer book except
question No. 1.
(iv) Start from first question and proceed to the last. Do not waste time over
a question, if you can not solve it.
(v) Do all rough work in your answer book,
1. qr{ b r+6 qqcrs h sr< * ftu ur< fr6?q frs rrd dt rr& 3ir{ sqfr ffi< gk6-r fr
frfUu '
Four options are given in each part of question. Write the correct answer in your
answer book:
(6) ffi 6*.3'-au, fr v 51 q;q 6)q1, 1

If a*.a2=a8, then value of x will be :
(i) 2 (ii) 4 (iii) 6 (iv) 8
(q) cos 24oo 61 qFT f; , 1

The value of cos 24Oo is :

(i) ;11^t""8 (ii) -; (iii) + (iv) - z
tll lP.T.O.

(rr) rril<N diut 3, 8, L3,18,......... 6-t aiq Hr qe 58 t , 1

Which term of the arithmatic progression 3, 8, 13, 18, ....., is 58:
(i) 10 (ii) 1 1 (iii) L2 (iv) 13
(u) 3ffi 4, 5,6, g,2,3, g, 4, g,5, 4,2, 6 tF[ eEm6 t , 1

The mode of data 4, 5,6,9,2,3,9, 4,3, 5, 4,2,6 is :

(i) 6 (ii) e (iii) 4 (iv) 13
(s) sffi s, 8,7 , 12, 17 , 14, 3 fr HRir6'r t , 1

The median of the data 5,8,7, L2, L7,14,3 is :
(i) 8 (ii) L2 (iii) L4 (iv) L7
n!
6T qrt aro otfru s6[ n=6, r=2
2
C; 1

Find the value when n=6, r=2
"t #*
qfr secA = 13\ tan
A 6I qFI Aro olfu
;d
i
3 t

If secA = i; then find the value of tan A.
4 ---2tan30o ^^
L ffiEFI ffiIdildEi 1
1 - tan' 3oo
2 tan 3oo
Find the value of
1 * tan2 3oo

s. 3rrd d@nil drr'srrkx qr€rT 1s t qft rd6 €wr o) z t Wn fuil arq d Tqt sril-fl
r

ror fr'mt
ET€?f, 1

The mean of eight numbers is 15. If each number is multiplied by 2, what will be
the new mean?
6, fu{rc6H f ftbUfqsfr6'q-2023 Sfrrrffi dS-rffi: 85, 55. 16, 103, 95, 00, 88, 101

f,?rr s1 G sflAl s{b 6Kr qn-d rrd rit6'r 3frsd (qrcq) corgdt 1

Virat Kohli socred 85,55, 16, 103,95,00,88, 101 and 51 runs in cricket
worldcup-2023league matches, Find the average of runs scored by him.

7. kdmtfufu- 2

Prove that -

@=1-sin2A
tanA

438 (rKU) 12l

8 ffi Whil{ *uft or tod rc f,rfr b1tss hffir eor q( 1e2 dzrr erofgv6 2 6; 2
If 8th term of G.P. is 192 and common ratio is 2, then find the 10th term of
geometric progression.
9 ffifudqruftfisnqofu*sqT$ - 2

Draw a h ram from the followi table -
mf sr<qriT 0- 10 10-20 20-30 30-40 40-50
Class Interval

dTGII{AT B 10 16 L2 6
Frequency
10 s?rrr EH qrPfdo frw {eqrcii 6r Hq<K qTeq EkT dfrst 2
Find the mean of first ten odd natural numbers
11. Frqftfud 3ii6dt6r qltqF 61-6 olBu - 2
Calculate the median for the followin data -
tr{ (furrT fr) 25 26 27 28 29 30 31
Weight (in kg)

ffiftnotHwT 2 4 4 7 5 4 5
No. of students
12. E6 fu qrg fi ffi 24 erfi rrd entm d Brffir 6 tft tt uo sf,r tS rrnrr{ rird a;r rsq
taidr rheo}FffEramtfrst 4
The height of a solid cone rs 24 cm and radius of base is 6 cm. After melting it, a
child neshapes it in the fornn of a sphere. Find the radius of the sphere.
13. y-3T&{ s{ 116 tHT frE f,rd dtss dr k$il A(6,s) slk e1:,+y t vrgel dt 4
Find the point on y-axis which is equidistant from the points A(6,5) and B(3,4).
3[eErr/oR
fu6dtsufuftq A (1,0), B (s,3), c(z,7)aeil'D (-2,4)116HrrFd{ErgtabqftS
dt
Show that the points A (1,0), B (5,3), C (2,7) and D (-2,4) are the vertices of
a parallelogram.
1.4. FrqftTfudqrcrqrcffEiirrbfucgarmerqdBs - 4
Find the mode for the following frequency distribution -
Tf 3{fr<td 1-3 3-5 5-7 7-9 9-11
Class interval
qI{RIr{frT 7 B 2 2 1
Frequency

438 {rKU) t3l I P.T.O.

,.,1

1 s. u-6 otfl 61, +frr b fft Rrit q< 3rdrffi t cqrqr.rqr tt ds fr sW tr rg tfr 3ilT
e-im d frjqr g.s tfr d't d-s ol 3lr{kFr st-d frtfrsl 6

A solid is composed of a cylinder with hemispherical ends. The whole height of
the solid is 19 cm and the radius of the cylinder is 3,5 crn" Find the volume of
the solid
I
3.5 cm
la
ra a I J
lr I ,
I

19 cn'r

serfl/oR
1'o mwqfra vrg of ftrT$ 15 tfi t r qfr Ffl-6T 3{r{kr;{ 125n El=r tfi d di wg fr kfl-r
wifrtr6fuarootfut
The height of a right circuiar cone is 15 cm. If its volume is 125n cubic cm then
find the radius and slant height of the cone,
16. uo hJfr e eftfr b frdvnd (4, -B), (-s,7) derT (8, 13) dl BUd o.r *<6 uq sfl-67
et{sd f,rd dBul 6

The coordinates of the vertices of a traingle are (4, -8), (-9,7) and (8, 13).
Find the centroid and area of the triangle.

17. FrqfrfoH crt$rdr 6iffi b frs qrfleqfi.r b vrter qr€4 fr{f,q an otfu - 6

Find the mean deviation from the median of the following frequency distribution:
X 3 6 I L2 13
I
15 2t 22

f I
3 4 5 2 4 5 4 3

3rslt[r/oR
Frqfrfud qrrqKdr EiF b frg qt€rT dsTI qFro fud.il{ flf, olHs -
Calculate the mean and standard deviation from the following frequency
distribution -
df s:arffi 30-40 40-50 50-60 60-70 70-80 B0-90 90-1 00

Class interval

dllHIT{dT 4 I 12 15 10 4 2

Frequency
x****

438 (rKrD l4l

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