10th Maths Algebra Question Paper with Solutions July 2024 (Hindi Medium)

SSC इयत्ता १० वीं बीजगणित प्रश्नपत्रिका हल - जुलाई २०२४ (हिंदी माध्यम)

प्रश्न १. (A) निम्नलिखित प्रत्येक उपप्रश्न के लिए चार विकल्प दिये हैं। उनमें से सही विकल्प चुनकर उसका वर्णाक्षर लिखिए : (४ अंक)

(i) x तथा y चरांक वाले युगपत समीकरण के लिए यदि $D_{x}=49$, $D_{y}=-63$ तथा $D=7$ हो, तो $x=$ कितना ?

विकल्प: (A) 7, (B) -7, (C) 1/7, (D) -1/7
हल:
क्रेमर पद्धति के अनुसार, $x = \frac{D_x}{D}$
$x = \frac{49}{7} = 7$
[cite_start]उत्तर: (A) [cite: 497]

(ii) निम्नलिखित में से कौनसा वर्गसमीकरण है ?

विकल्प:
(A) $\frac{5}{x}-3=x^{2}$ (यह घन समीकरण होगा)
(B) $x(x+5)=2$ ($x^2+5x-2=0$, कोटि २ है)
(C) $n-1=2n$ (रेखीय समीकरण)
(D) $\frac{1}{x^{2}}(x+2)=x$ (यह घन समीकरण होगा)
[cite_start]उत्तर: (B) [cite: 510]

(iii) -10, -6, -2, 2, ... यह श्रृंखला ........

विकल्प:
(A) अंकगणितीय श्रेढी है क्योंकि $d=-16$
(B) अंकगणितीय श्रेढी है क्योंकि $d=4$
(C) अंकगणितीय श्रेढी है क्योंकि $d=-4$
(D) अंकगणितीय श्रेढी नहीं है
हल: $d = t_2 - t_1 = -6 - (-10) = -6 + 10 = 4$.
[cite_start]उत्तर: (B) [cite: 521]

(iv) निम्नलिखित में से कौनसी संभाव्यता हो नहीं सकती ?

विकल्प: (A) 2/3, (B) 1.5, (C) 15%, (D) 0.7
हल: संभाव्यता 0 से 1 के बीच होती है। 1.5 यह संख्या 1 से बड़ी है।
[cite_start]उत्तर: (B) [cite: 530]

प्रश्न १. (B) निम्नलिखित उपप्रश्न हल कीजिए : (४ अंक)

(i) निम्न निश्चयक का मान ज्ञात कीजिए : $\begin{vmatrix}5 & -2 \\ -3 & 1\end{vmatrix}$

मान = $(5 \times 1) - (-2 \times -3)$
$= 5 - (6)$
$= 5 - 6 = -1$
[cite_start]मान = -1 [cite: 539]

(ii) निम्न अंकगणितीय श्रृंखला का प्रथम पद तथा सामान्य अंतर ज्ञात कीजिए : 5, 1, -3, -7...

प्रथम पद ($a$) = 5
सामान्य अंतर ($d$) = $t_2 - t_1 = 1 - 5 = -4$
[cite_start]a = 5, d = -4 [cite: 541]

(iii) यदि शेयर का अंकित मूल्य = 100 रुपये; अधिमूल्य = 65 रुपये हो, तो उस शेयर का बाजार मूल्य ज्ञात कीजिए।

बाजार मूल्य (MV) = अंकित मूल्य + अधिमूल्य
MV = $100 + 65 = 165$
[cite_start]बाजार मूल्य = 165 रुपये [cite: 545]

(iv) एक पाँसा फेंकने पर नमूना अवकाश लिखिये।

नमूना अवकाश $S = \{1, 2, 3, 4, 5, 6\}$
[cite_start]S = {1, 2, 3, 4, 5, 6} [cite: 549]

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प्रश्न २. (A) निम्नलिखित कोई दो कृति पूर्ण कीजिये : (४ अंक)

(i) दिये गये समीकरण का आलेख खींचने के लिए निम्न सारणी पूर्ण कीजिये : $x+2y=4$

x	-2	0	2
y	3	2	1
(x, y)	(-2, 3)	(0, 2)	(2, 1)

स्पष्टीकरण: यदि x=-2, -2+2y=4 → 2y=6 → y=3. [cite_start]यदि y=1, x+2(1)=4 → x=2. [cite: 554]

(ii) विवेचक के मान से वर्गसमीकरण के मूल को निश्चित कीजिए : $m^{2}+2m+9=0$

तुलना करने पर:
$a = 1, b=2, c=9$
$b^{2}-4ac = 2^{2} - 4 \times 1 \times \boxed{9}$
$= 4 - 36$
$b^{2}-4ac = \boxed{-32}$
$b^{2}-4ac < 0$
[cite_start]वर्गसमीकरण के मूल वास्तविक संख्या नहीं हैं। [cite: 559]

(iii) स्मिता ने 12,000 रुपये निवेश कर 10 रुपये अंकित मूल्य वाले शेयर्स प्रति शेयर 2 रुपये अधिमूल्य पर खरीदे, तो उसे कुल कितने शेयर्स प्राप्त होंगे। यह ज्ञात करने के लिए निम्न कृति पूरी कीजिए।

$FV=10$, अधिमूल्य = 2 रुपये
बाजार मूल्य = अंकित मूल्य + अधिमूल्य = 10 + 2 = 12 रुपये
शेयर्स की संख्या = $\frac{\text{कुल निवेश}}{\text{बाजार मूल्य}}$
$= \frac{12,000}{\boxed{12}}$
[cite_start]$= \boxed{1000} \text{ शेयर्स.}$ [cite: 572]

प्रश्न २. (B) निम्नलिखित कोई भी चार उपप्रश्न हल कीजिए : (८ अंक)

(i) निम्नलिखित युगपत समीकरणों को हल कीजिए : $x+y=5$, $x-y=3$

$x+y=5$ ... (I)
$x-y=3$ ... (II)
समीकरण (I) और (II) जोड़ने पर:
$2x = 8 \Rightarrow x = 4$
x का मान समीकरण (I) में रखने पर:
$4 + y = 5 \Rightarrow y = 1$
[cite_start]हल: (x, y) = (4, 1) [cite: 590]

(ii) यदि $x=3$ यह $kx^{2}-10x+3=0$ समीकरण का एक मूल है, तो k का मान ज्ञात कीजिए।

समीकरण में $x=3$ रखने पर:
$k(3)^2 - 10(3) + 3 = 0$
$9k - 30 + 3 = 0$
$9k - 27 = 0$
$9k = 27 \Rightarrow k = 3$
[cite_start]k = 3 [cite: 591]

(iii) दी हुई अंकगणितीय श्रृंखला का 19वाँ पद ज्ञात कीजिये : 7, 13, 19, 25...

$a = 7, d = 13 - 7 = 6, n = 19$
सूत्र: $t_n = a + (n-1)d$
$t_{19} = 7 + (19-1)6$
$t_{19} = 7 + (18 \times 6)$
$t_{19} = 7 + 108 = 115$
[cite_start]19वाँ पद 115 है। [cite: 596]

(iv) किसी रिस्ट वॉच बेल्ट का करपात्र मूल्य 586 रुपये है। GST की दर यदि 18% हो, तो बेल्ट ग्राहक को कितने रुपयों में प्राप्त होगी ?

करपात्र मूल्य = 586 रुपये
GST राशि = $586 \times \frac{18}{100} = 586 \times 0.18 = 105.48$
कुल मूल्य = करपात्र मूल्य + GST
कुल मूल्य = $586 + 105.48 = 691.48$
[cite_start]ग्राहक के लिए मूल्य = 691.48 रुपये [cite: 597]

(v) किसी परिवार में वार्षिक निवेश का वृत्तालेख दिया गया है। शेयर्स: $60^\circ$, स्थानीय मालमत्ता: $120^\circ$, म्युच्युअल फंड: $60^\circ$, बैंक में सीधी जमा: $90^\circ$, डाकघर: $30^\circ$. यदि शेयर्स में निवेश राशि 2,000 हो, तो कुल निवेश और डाकघर में निवेश ज्ञात कीजिये।

(a) शेयर्स के लिए केंद्रीय कोण = $\frac{\text{शेयर्स में निवेश}}{\text{कुल निवेश}} \times 360^\circ$
$60^\circ = \frac{2000}{\text{कुल}} \times 360^\circ$
$\text{कुल निवेश} = \frac{2000 \times 360}{60} = 2000 \times 6 = 12,000$

(b) डाकघर में निवेश:
डाकघर का कोण = $30^\circ$
$\text{राशि} = \frac{30}{360} \times 12,000 = \frac{1}{12} \times 12,000 = 1,000$
कुल निवेश = 12,000 रुपये; [cite_start]डाकघर में निवेश = 1,000 रुपये [cite: 614]

प्रश्न ३. (A) निम्नलिखित कोई भी एक कृति पूरी कीजिये : (३ अंक)

(i) किसी एक शेयर का बाजार मूल्य 1,000 रुपये है। उस शेयर को बेचने पर उस पर 0.1% दलाली दी, तो बेचने के बाद मिलने वाली रकम कितनी है ?

दलाली रकम = बाजार मूल्य $\times$ दलाली की दर
$= 1000 \times \frac{0.1}{\boxed{100}}$
$= 10 \times 0.1 = \boxed{1}$
शेयर बेचने पर मिलने वाली रकम = बाजार मूल्य - दलाली
$= 1000 - \boxed{1}$
[cite_start]$= \boxed{999} \text{ रुपये.}$ [cite: 625]

(ii) एक पाँसे के ऊपरी पृष्ठभाग पर 2, 4, 6, 8, 10, 12 संख्याएँ हैं। यह पाँसा एक बार उछालने पर ऊपरी पृष्ठभाग पर मिलने वाली संख्या पूर्ण वर्ग हो यह संभाव्यता मिलने की कृति पूर्ण कीजिए।

$S = \{2, 4, 6, 8, 10, 12\}$
$n(S) = \boxed{6}$
घटना B: संख्या पूर्ण वर्ग होना। केवल 4 यह पूर्ण वर्ग संख्या है ($2^2$).
$B = \{ \boxed{4} \}$
$n(B) = \boxed{1}$
[cite_start]$P(B) = \frac{n(B)}{n(S)} = \frac{\boxed{1}}{6}$ [cite: 638]

प्रश्न ३. (B) निम्नलिखित कोई दो उपप्रश्न हल कीजिये : (६ अंक)

(i) निम्नलिखित युगपत समीकरण क्रेमर पद्धति से हल कीजिए : $4m-2n=-4; 4m+3n=16$.

$D = \begin{vmatrix}4 & -2 \\ 4 & 3\end{vmatrix} = (12) - (-8) = 20$
$D_m = \begin{vmatrix}-4 & -2 \\ 16 & 3\end{vmatrix} = (-12) - (-32) = 20$
$D_n = \begin{vmatrix}4 & -4 \\ 4 & 16\end{vmatrix} = (64) - (-16) = 80$
$m = \frac{D_m}{D} = \frac{20}{20} = 1$
$n = \frac{D_n}{D} = \frac{80}{20} = 4$
[cite_start]हल: (m, n) = (1, 4) [cite: 651]

(ii) निम्नलिखित वर्गसमीकरण सूत्र पद्धति से हल कीजिए : $y^{2}+\frac{1}{3}y=2$

3 से गुणा करने पर: $3y^2 + y = 6 \Rightarrow 3y^2 + y - 6 = 0$
$a=3, b=1, c=-6$
$b^2 - 4ac = (1)^2 - 4(3)(-6) = 1 + 72 = 73$
$y = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$
$y = \frac{-1 \pm \sqrt{73}}{6}$
[cite_start]मूल: $\frac{-1+\sqrt{73}}{6}, \frac{-1-\sqrt{73}}{6}$ [cite: 657]

(iii) दो पाँसे उछालने पर नमूना अवकाश 'S' तथा $n(S)$ लिखो तथा घटना A और B लिखिए।

$S = \{(1,1)...(6,6)\}$, $n(S) = 36$.
घटना A: संख्याओं का योगफल 5 का गुणज है।
योगफल 5 या 10 हो सकता है।
$A = \{(1,4), (2,3), (3,2), (4,1), (4,6), (5,5), (6,4)\}$
$n(A) = 7$

घटना B: संख्याओं का योगफल 25 है।
अधिकतम योगफल 12 (6+6) होता है। योगफल 25 असंभव है।
$B = \{ \}$ (रिक्त समुच्चय)
[cite_start]$n(B) = 0$ [cite: 658]

प्रश्न ४. निम्नलिखित कोई भी दो उपप्रश्न हल कीजिए : (८ अंक)

(i) टोल नाके पर जमा कर (रुपयों में) व वाहनों की संख्या दी गई है। जमा किए गए कर का माध्य "अनुमानित माध्य" पद्धति से ज्ञात कीजिए।

अनुमानित माध्य $A = 550$ मानेंगे (500-600 का वर्गमध्य)।

वर्ग (कर)	वर्गमध्य ($x_i$)	$d_i = x_i - 550$	बारंबारता ($f_i$)	$f_i d_i$
300-400	350	-200	80	-16000
400-500	450	-100	110	-11000
500-600	550	0	120	0
600-700	650	100	70	7000
700-800	750	200	40	8000
कुल			$\sum f_i = 420$	$\sum f_i d_i = -12000$

$\bar{d} = \frac{\sum f_i d_i}{\sum f_i} = \frac{-12000}{420} \approx -28.57$
माध्य $\bar{X} = A + \bar{d} = 550 + (-28.57) = 521.43$
[cite_start]औसत कर = 521.43 रुपये [cite: 664]

(ii) मनीषा को 540 केले कुछ छात्रों में समान रूप से बाँटने हैं। यदि 30 छात्र अधिक होते तो प्रत्येक छात्र को 3 केले कम मिलते तो छात्रों की संख्या ज्ञात कीजिए।

माना छात्रों की मूल संख्या = $x$. प्रत्येक को मिलने वाले केले = $540/x$.
नई छात्र संख्या = $x+30$. नए केले प्रति छात्र = $540/(x+30)$.
शर्त: पुराना हिस्सा - नया हिस्सा = 3
$\frac{540}{x} - \frac{540}{x+30} = 3$
3 से भाग देने पर: $\frac{180}{x} - \frac{180}{x+30} = 1$
$180(x+30) - 180x = x(x+30)$
$180x + 5400 - 180x = x^2 + 30x$
$x^2 + 30x - 5400 = 0$
5400 के गुणनखंड जिनका अंतर 30 है: 90 और 60.
$(x+90)(x-60) = 0$
$x = 60$ (छात्र संख्या ऋणात्मक नहीं हो सकती)।
[cite_start]छात्रों की संख्या = 60 [cite: 671]

(iii) 2,000 रुपये का 10% साधारण ब्याज की दर से निवेश किया तो प्रत्येक वर्ष के अंत में मिलने वाली ब्याज की रकम क्या अंकगणितीय श्रृंखला होगी ? 10 वर्ष बाद प्राप्त होने वाली ब्याज की रकम ज्ञात कीजिए।

मूलधन = 2000, दर = 10%.
वर्ष 1 का ब्याज: $(2000 \times 10 \times 1)/100 = 200$
वर्ष 2 का ब्याज: $(2000 \times 10 \times 2)/100 = 400$
वर्ष 3 का ब्याज: 600...
श्रृंखला: 200, 400, 600...
सामान्य अंतर $d = 200$ स्थिर है। इसलिए यह अंकगणितीय श्रेढी है।
10 वर्ष बाद का ब्याज ($t_{10}$):
$t_{10} = a + 9d = 200 + 9(200) = 200 + 1800 = 2000$.
[cite_start]10 वर्ष बाद ब्याज = 2,000 रुपये [cite: 673]

(iv) [सांख्यिकी - बहुलक] बारंबारता सारणी तैयार कीजिए और बहुलक ज्ञात कीजिए।

दी गई जानकारी: 0-20 (10%), 20-40 (20%), 40-60 (35%), 60-80 (20%), 80-100 (बचे हुए 30 छात्र)।
कुल प्रतिशत = $10+20+35+20 = 85\%$. बचे हुए = $15\%$.
यदि $15\% = 30$ छात्र, तो कुल छात्र $N = (30/15) \times 100 = 200$.
बारंबारता सारणी:
0-20: $10\% \text{ of } 200 = 20$
20-40: $20\% \text{ of } 200 = 40$ ($f_0$)
40-60: $35\% \text{ of } 200 = 70$ ($f_1$ - बहुलकीय वर्ग)
60-80: $20\% \text{ of } 200 = 40$ ($f_2$)
80-100: 30

बहुलक:
बहुलकीय वर्ग: 40-60. $L=40, h=20, f_1=70, f_0=40, f_2=40$.
बहुलक $= L + [\frac{f_1-f_0}{2f_1-f_0-f_2}] \times h$
$= 40 + [\frac{70-40}{140-40-40}] \times 20$
$= 40 + [\frac{30}{60}] \times 20$
$= 40 + 10 = 50$
[cite_start]बहुलक = 50 अंक [cite: 678]

प्रश्न ५. निम्नलिखित प्रश्नों में से कोई एक उपप्रश्न हल कीजिये : (३ अंक)

(i) निम्न सामग्री आयतालेख द्वारा दर्शाओ :

दी गई जानकारी: 60-80 (4), 80-100 (12), 100-120 (16), 120-140 (8).
नोट: इसके लिए आलेख बनाना आवश्यक है। [cite_start]X-अक्ष पर 'बुद्धयांक' और Y-अक्ष पर 'छात्र संख्या' लेकर सलग स्तंभ बनाएँ। [cite: 689]

(ii) आकृति में दी गई जानकारी के आधार से आयत की लंबाई तथा चौड़ाई सेमी में ज्ञात कीजिए।

आयत की सम्मुख भुजाएँ समान होती हैं।
1) $2m + 3n + 5 = 5m + n$
$5m - 2m + n - 3n = 5$
$3m - 2n = 5$ ... (I)

2) $3m - 2n + 7 = m + n - 3$
$3m - m - 2n - n = -3 - 7$
$2m - 3n = -10$ ... (II)

समीकरण (I) को 3 से और (II) को 2 से गुणा करें:
$9m - 6n = 15$
$4m - 6n = -20$
घटाने पर: $5m = 35 \Rightarrow m = 7$.

m=7 समीकरण (I) में रखने पर:
$3(7) - 2n = 5$
$21 - 5 = 2n$
$16 = 2n \Rightarrow n = 8$.

आयत की विमाएँ:
लंबाई $= 5m + n = 5(7) + 8 = 35 + 8 = 43$.
चौड़ाई $= m + n - 3 = 7 + 8 - 3 = 12$.
[cite_start]लंबाई = 43 सेमी, चौड़ाई = 12 सेमी [cite: 692]

10th Maths Algebra Question Paper with Solutions July 2024 (Marathi Medium)

SSC इयत्ता १० वी बीजगणित प्रश्नपत्रिका - जुलै २०२४ (उकल)

प्रश्न १. (A) पुढील प्रत्येक उपप्रश्नासाठी चार पर्यायी उत्तरे दिली आहेत. त्यापैकी अचूक पर्याय निवडून त्याचे वर्णाक्षर लिहा : (४ गुण)

(i) x व y ही चले असलेल्या एकसामयिक समीकरणासाठी जर $D_{x}=49$, $D_{y}=-63$ व $D=7$ असेल, तर x = किती ?

पर्याय: (A) 7, (B) -7, (C) 1/7, (D) -1/7
उकल:
क्रेमरच्या पद्धतीनुसार, $x = \frac{D_x}{D}$
$x = \frac{49}{7} = 7$
उत्तर: (A)

(ii) खालीलपैकी कोणते समीकरण हे वर्गसमीकरण आहे ?

पर्याय:
(A) $\frac{5}{x}-3=x^{2}$ (हे घन समीकरण होईल)
(B) $x(x+5)=2$ ($x^2+5x-2=0$, कोटी २ आहे)
(C) $n-1=2n$ (रेषीय समीकरण)
(D) $\frac{1}{x^{2}}(x+2)=x$ (हे घन समीकरण होईल)
उत्तर: (B)

(iii) -10, -6, -2, 2, ... ही क्रमिका ........

पर्याय:
(A) अंकगणिती श्रेढी आहे, कारण $d=-16$
(B) अंकगणिती श्रेढी आहे, कारण $d=4$
(C) अंकगणिती श्रेढी आहे, कारण $d=-4$
(D) अंकगणिती श्रेढी नाही
उकल: $d = t_2 - t_1 = -6 - (-10) = -6 + 10 = 4$.
उत्तर: (B)

(iv) खालील पर्यायांपैकी कोणती संख्या संभाव्यता असू शकणार नाही ?

पर्याय: (A) 2/3, (B) 1.5, (C) 15%, (D) 0.7
उकल: संभाव्यता 0 ते 1 च्या दरम्यान असते. 1.5 ही संख्या 1 पेक्षा मोठी आहे.
उत्तर: (B)

प्रश्न १. (B) खालील उपप्रश्न सोडवा : (४ गुण)

(i) पुढील निश्चयकाची किंमत काढा : $\begin{vmatrix}5 & -2 \\ -3 & 1\end{vmatrix}$

किंमत = $(5 \times 1) - (-2 \times -3)$
$= 5 - (6)$
$= 5 - 6 = -1$
किंमत = -1

(ii) पुढील अंकगणिती श्रेढीसाठी पहिले पद आणि सामान्य फरक काढा : 5, 1, -3, -7...

पहिले पद ($a$) = 5
सामान्य फरक ($d$) = $t_2 - t_1 = 1 - 5 = -4$
a = 5, d = -4

(iii) एका शेअरची दर्शनी किंमत = 100 रुपये; अधिमूल्य = 65 रुपये आहे, तर त्या शेअरचा बाजारभाव काढा.

बाजारभाव (MV) = दर्शनी किंमत + अधिमूल्य
MV = $100 + 65 = 165$
बाजारभाव = 165 रुपये

(iv) एक फासा टाकला असता नमुना अवकाश लिहा.

नमुना अवकाश $S = \{1, 2, 3, 4, 5, 6\}$
S = {1, 2, 3, 4, 5, 6}

SSC Mathematics

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• Mathematics (Paper 1) Algebra July 2024ViewAnswer Key
• Mathematics (Paper 1) Marathi Medium Algebra July 2024ViewAnswer Key
• Mathematics (Paper 1) Hindi Medium Algebra July 2024ViewAnswer Key
• Mathematics (Paper 2) Geometry July 2024ViewAnswer Key
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प्रश्न २. (A) खालीलपैकी कोणत्याही दोन कृती पूर्ण करून लिहा : (४ गुण)

(i) दिलेल्या समीकरणाचा आलेख काढण्यासाठी खालील सारणी पूर्ण करा : $x+2y=4$

x	-2	0	2
y	3	2	1
(x, y)	(-2, 3)	(0, 2)	(2, 1)

स्पष्टीकरण: जर x=-2, -2+2y=4 → 2y=6 → y=3. जर y=1, x+2(1)=4 → x=2.

(ii) विवेचकाच्या किंमतीवरून खालील वर्गसमीकरणाच्या मुळांचे स्वरूप ठरवा : $m^{2}+2m+9=0$

तुलना करून:
$a = 1, b=2, c=9$
$b^{2}-4ac = 2^{2} - 4 \times 1 \times \boxed{9}$
$= 4 - 36$
$b^{2}-4ac = \boxed{-32}$
$b^{2}-4ac < 0$
वर्गसमीकरणाची मुळे वास्तव संख्या नाहीत.

(iii) स्मिताने 12,000 रुपये गुंतवून 10 रुपये दर्शनी किंमतीचे शेअर्स 2 रुपये अधिमूल्याने घेतले, तर तिला किती शेअर्स मिळतील हे काढण्यासाठी खालील कृती पूर्ण करा.

$FV=10$, अधिमूल्य = 2 रुपये
बाजारभाव = दर्शनी किंमत + अधिमूल्य = 10 + 2 = 12 रुपये
शेअर्सची संख्या = $\frac{\text{एकूण गुंतवणूक}}{\text{बाजारभाव}}$
$= \frac{12,000}{\boxed{12}}$
$= \boxed{1000} \text{ शेअर्स.}$

प्रश्न २. (B) खालीलपैकी कोणतेही चार उपप्रश्न सोडवा : (८ गुण)

(i) खालील एकसामयिक समीकरणे सोडवा : $x+y=5$, $x-y=3$

$x+y=5$ ... (I)
$x-y=3$ ... (II)
समीकरण (I) व (II) ची बेरीज करू:
$2x = 8 \Rightarrow x = 4$
x ची किंमत समीकरण (I) मध्ये ठेवून:
$4 + y = 5 \Rightarrow y = 1$
उकल: (x, y) = (4, 1)

(ii) जर $x=3$ हे $kx^{2}-10x+3=0$ या समीकरणाचे एक मूळ असेल, तर k ची किंमत काढा.

समीकरणात $x=3$ ठेवू:
$k(3)^2 - 10(3) + 3 = 0$
$9k - 30 + 3 = 0$
$9k - 27 = 0$
$9k = 27 \Rightarrow k = 3$
k = 3

(iii) खालील अंकगणिती श्रेढीचे 19 वे पद काढा : 7, 13, 19, 25...

$a = 7, d = 13 - 7 = 6, n = 19$
सूत्र: $t_n = a + (n-1)d$
$t_{19} = 7 + (19-1)6$
$t_{19} = 7 + (18 \times 6)$
$t_{19} = 7 + 108 = 115$
19 वे पद 115 आहे.

(iv) एका रिस्टवॉच बेल्टची करपात्र किंमत 586 रुपये आहे. GST चा दर 18% आहे, तर ग्राहकाला तो बेल्ट किती रुपयास मिळेल ?

करपात्र किंमत = 586 रुपये
GST रक्कम = $586 \times \frac{18}{100} = 586 \times 0.18 = 105.48$
एकूण किंमत = करपात्र किंमत + GST
एकूण किंमत = $586 + 105.48 = 691.48$
ग्राहकासाठी किंमत = 691.48 रुपये

(v) एका कुटुंबाच्या वार्षिक गुंतवणुकीचा वृत्तालेख दिला आहे. शेअर्स: $60^\circ$, स्थावर मालमत्ता: $120^\circ$, म्युच्युअल फंड: $60^\circ$, बँकेतील ठेव: $90^\circ$, पोस्ट: $30^\circ$. जर शेअर्समधील गुंतवणूक 2,000 रुपये असेल, तर एकूण गुंतवणूक आणि पोस्टातील गुंतवणूक काढा.

(a) शेअर्ससाठी केंद्रीय कोन = $\frac{\text{शेअर्समधील गुंतवणूक}}{\text{एकूण गुंतवणूक}} \times 360^\circ$
$60^\circ = \frac{2000}{\text{एकूण}} \times 360^\circ$
$\text{एकूण गुंतवणूक} = \frac{2000 \times 360}{60} = 2000 \times 6 = 12,000$

(b) पोस्टातील गुंतवणूक:
पोस्टाचा कोन = $30^\circ$
$\text{रक्कम} = \frac{30}{360} \times 12,000 = \frac{1}{12} \times 12,000 = 1,000$
एकूण गुंतवणूक = 12,000 रुपये; पोस्टातील गुंतवणूक = 1,000 रुपये

प्रश्न ३. (A) खालीलपैकी कोणतीही एक कृती पूर्ण करून लिहा : (३ गुण)

(i) एका शेअरचा बाजारभाव 1,000 रुपये असताना तो शेअर विकला व त्यावर 0.1% दलाली दिली तर विक्रीनंतर मिळणारी रक्कम काढा.

दलाली रक्कम = बाजारभाव $\times$ दलालीचा दर
$= 1000 \times \frac{0.1}{\boxed{100}}$
$= 10 \times 0.1 = \boxed{1}$
विक्रीनंतर मिळणारी रक्कम = बाजारभाव - दलाली
$= 1000 - \boxed{1}$
$= \boxed{999} \text{ रुपये.}$

(ii) एका फाशाच्या पृष्ठभागावर 2, 4, 6, 8, 10, 12 या संख्या आहेत. हा फासा एकदा फेकला तर वरच्या पृष्ठभागावर मिळणारी संख्या पूर्ण वर्ग असण्याची संभाव्यता काढा.

$S = \{2, 4, 6, 8, 10, 12\}$
$n(S) = \boxed{6}$
घटना B: संख्या पूर्ण वर्ग असणे. फक्त 4 ही पूर्ण वर्ग संख्या आहे ($2^2$).
$B = \{ \boxed{4} \}$
$n(B) = \boxed{1}$
$P(B) = \frac{n(B)}{n(S)} = \frac{\boxed{1}}{6}$

प्रश्न ३. (B) खालीलपैकी कोणतेही दोन उपप्रश्न सोडवा : (६ गुण)

(i) खालील एकसामयिक समीकरणे क्रेमरच्या पद्धतीने सोडवा : $4m-2n=-4; 4m+3n=16$.

$D = \begin{vmatrix}4 & -2 \\ 4 & 3\end{vmatrix} = (12) - (-8) = 20$
$D_m = \begin{vmatrix}-4 & -2 \\ 16 & 3\end{vmatrix} = (-12) - (-32) = 20$
$D_n = \begin{vmatrix}4 & -4 \\ 4 & 16\end{vmatrix} = (64) - (-16) = 80$
$m = \frac{D_m}{D} = \frac{20}{20} = 1$
$n = \frac{D_n}{D} = \frac{80}{20} = 4$
उकल: (m, n) = (1, 4)

(ii) खालील वर्गसमीकरण सूत्राचा वापर करून सोडवा : $y^{2}+\frac{1}{3}y=2$

3 ने गुणून: $3y^2 + y = 6 \Rightarrow 3y^2 + y - 6 = 0$
$a=3, b=1, c=-6$
$b^2 - 4ac = (1)^2 - 4(3)(-6) = 1 + 72 = 73$
$y = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$
$y = \frac{-1 \pm \sqrt{73}}{6}$
मुले: $\frac{-1+\sqrt{73}}{6}, \frac{-1-\sqrt{73}}{6}$

(iii) दोन फासे एकाच वेळी फेकले असता नमुना अवकाश 'S' व $n(S)$ लिहा. तसेच घटना A आणि B लिहा.

$S = \{(1,1)...(6,6)\}$, $n(S) = 36$.
घटना A: अंकांची बेरीज 5 च्या पटीत आहे.
बेरीज 5 किंवा 10 असू शकते.
$A = \{(1,4), (2,3), (3,2), (4,1), (4,6), (5,5), (6,4)\}$
$n(A) = 7$

घटना B: अंकांची बेरीज 25 आहे.
जास्तीत जास्त बेरीज 12 (6+6) असते. बेरीज 25 अशक्य आहे.
$B = \{ \}$ (रिक्त संच)
$n(B) = 0$

प्रश्न ४. खालीलपैकी कोणतेही दोन उपप्रश्न सोडवा : (८ गुण)

(i) टोलनाक्यावर जमा होणारा कर (रुपयांत) व वाहन संख्या दिली आहे. त्यावरून जमा होणाऱ्या कराचे 'गृहीतमध्य' पद्धतीने मध्य काढा.

गृहीतमध्य $A = 550$ मानू (500-600 चा वर्गमध्य).

वर्ग (कर)	वर्गमध्य ($x_i$)	$d_i = x_i - 550$	वारंवारता ($f_i$)	$f_i d_i$
300-400	350	-200	80	-16000
400-500	450	-100	110	-11000
500-600	550	0	120	0
600-700	650	100	70	7000
700-800	750	200	40	8000
एकूण			$\sum f_i = 420$	$\sum f_i d_i = -12000$

$\bar{d} = \frac{\sum f_i d_i}{\sum f_i} = \frac{-12000}{420} \approx -28.57$
मध्य $\bar{X} = A + \bar{d} = 550 + (-28.57) = 521.43$
सरासरी कर = 521.43 रुपये

(ii) मनीषाला 540 केळी काही विद्यार्थ्यांना समान वाटायची आहेत. जर 30 विद्यार्थी जास्त असते तर प्रत्येकाला 3 केळी कमी मिळाली असती. तर विद्यार्थ्यांची संख्या काढा.

समजा विद्यार्थ्यांची मूळ संख्या = $x$. प्रत्येकाला मिळणारी केळी = $540/x$.
नवीन विद्यार्थी संख्या = $x+30$. नवीन केळी संख्या = $540/(x+30)$.
अट: जुने वाटप - नवीन वाटप = 3
$\frac{540}{x} - \frac{540}{x+30} = 3$
3 ने भागून: $\frac{180}{x} - \frac{180}{x+30} = 1$
$180(x+30) - 180x = x(x+30)$
$180x + 5400 - 180x = x^2 + 30x$
$x^2 + 30x - 5400 = 0$
5400 चे अवयव ज्यांचा फरक 30 आहे: 90 आणि 60.
$(x+90)(x-60) = 0$
$x = 60$ (विद्यार्थी संख्या ऋण असू शकत नाही).
विद्यार्थ्यांची संख्या = 60

(iii) 2,000 रुपयांची रक्कम 10% सरळव्याज दराने गुंतवली, तर व्याजाची रक्कम अंकगणितीय श्रेढी होईल का ते तपासा. 10 वर्षानंतर मिळणाऱ्या व्याजाची रक्कम काढा.

मुद्दल = 2000, दर = 10%.
वर्ष 1 चे व्याज: $(2000 \times 10 \times 1)/100 = 200$
वर्ष 2 चे व्याज: $(2000 \times 10 \times 2)/100 = 400$
वर्ष 3 चे व्याज: 600...
क्रमिका: 200, 400, 600...
सामान्य फरक $d = 200$ स्थिर आहे. म्हणून ही अंकगणितीय श्रेढी आहे.
10 वर्षानंतरचे व्याज ($t_{10}$):
$t_{10} = a + 9d = 200 + 9(200) = 200 + 1800 = 2000$.
10 वर्षानंतर मिळणारे व्याज = 2,000 रुपये

(iv) [सांख्यिकी - बहुलक] वर्गीकृत वारंवारता सारणी तयार करा आणि बहुलक काढा.

दिलेली माहिती: 0-20 (10%), 20-40 (20%), 40-60 (35%), 60-80 (20%), 80-100 (उरलेले 30 विद्यार्थी).
एकूण टक्केवारी = $10+20+35+20 = 85\%$. उरलेले = $15\%$.
जर $15\% = 30$ विद्यार्थी, तर एकूण विद्यार्थी $N = (30/15) \times 100 = 200$.
वारंवारता सारणी:
0-20: $10\% \text{ of } 200 = 20$
20-40: $20\% \text{ of } 200 = 40$ ($f_0$)
40-60: $35\% \text{ of } 200 = 70$ ($f_1$ - बहुलकीय वर्ग)
60-80: $20\% \text{ of } 200 = 40$ ($f_2$)
80-100: 30

बहुलक:
बहुलकीय वर्ग: 40-60. $L=40, h=20, f_1=70, f_0=40, f_2=40$.
बहुलक $= L + [\frac{f_1-f_0}{2f_1-f_0-f_2}] \times h$
$= 40 + [\frac{70-40}{140-40-40}] \times 20$
$= 40 + [\frac{30}{60}] \times 20$
$= 40 + 10 = 50$
बहुलक = 50 गुण

प्रश्न ५. खालीलपैकी कोणताही एक उपप्रश्न सोडवा : (३ गुण)

(i) पुढील सामग्री आयतालेखाद्वारे दर्शवा :

दिलेली माहिती: 60-80 (4), 80-100 (12), 100-120 (16), 120-140 (8).
टीप: यासाठी आलेख काढणे आवश्यक आहे. X-अक्षावर 'बुद्धयांक' आणि Y-अक्षावर 'विद्यार्थी संख्या' घेऊन सलग स्तंभ काढावेत.

(ii) आकृतीमध्ये दिलेल्या माहितीवरून आयताची लांबी व रुंदी काढा.

आयताच्या समोरासमोरच्या बाजू समान असतात.
1) $2m + 3n + 5 = 5m + n$
$5m - 2m + n - 3n = 5$
$3m - 2n = 5$ ... (I)

2) $3m - 2n + 7 = m + n - 3$
$3m - m - 2n - n = -3 - 7$
$2m - 3n = -10$ ... (II)

समीकरण (I) ला 3 ने आणि (II) ला 2 ने गुणू:
$9m - 6n = 15$
$4m - 6n = -20$
वजाबाकी करून: $5m = 35 \Rightarrow m = 7$.

m=7 समीकरण (I) मध्ये ठेवू:
$3(7) - 2n = 5$
$21 - 5 = 2n$
$16 = 2n \Rightarrow n = 8$.

आयताची मापे:
लांबी $= 5m + n = 5(7) + 8 = 35 + 8 = 43$.
रुंदी $= m + n - 3 = 7 + 8 - 3 = 12$.
लांबी = 43 सेमी, रुंदी = 12 सेमी

HSC English July 2024 Board Paper Solution Maharashtra

BOARD ACTIVITY SHEET: JULY 2024

ENGLISH YUVAKBHARATI | Max Marks: 80 | Time: 3 Hrs

SECTION – I: PROSE

(Reading for Comprehension, Language Study, Summary and Mind Mapping)

Q. 1. (A) Read the extract and complete the activities given below:

(Extract Source: "Voyaging Towards Excellence" by Achyut Godbole)

A1. Read and rewrite the following sentences and state whether they are True or False: (2 Marks)

1. The narrator chose a career in writing over his career in software companies.
   Answer: True
2. The narrator’s success is determined by the sale of his books.
   Answer: False
3. His autobiography has proved itself as a good remedy on depression.
   Answer: True
4. The passage ends on a positive note.
   Answer: True

A2. Give reasons: (2 Marks)

1. The writer could be commercially successful because he had offers of around 3 crore rupees per annum.
2. The writer is telling his story to the readers because there are a number of lessons and values that he cherishes and keeps learning about even today.

A3. Interpret the following statement from the extract: (2 Marks)

“It is these reactions of thousands of readers and the feeling that I am touching the hearts of thousands of my readers, that keeps me going...”

Answer: The statement implies that the writer's true motivation comes from the emotional impact his work has on people, rather than financial gain. Knowing that his books help readers navigate life's challenges, such as depression or suicide, gives him the energy and purpose to continue writing.

A4. Write a few sentences about your ‘dream career.’ (2 Marks)

Answer: My dream career is to become a software engineer. I am passionate about technology and problem-solving. I want to develop applications that simplify daily tasks and contribute to the digital advancement of society.

A5. Do as directed: (2 Marks)

(i) I wanted to return to my first love. (Frame a ‘wh’ question to get the underlined part as the answer.)

Options:
(a) Where did I wanted to return?
(b) Where do I want to return?
(c) Where did I want to return?
(d) Why did I want to return?

Correct Answer: (c) Where did I want to return?

---

(ii) My book ‘Boardroom’ on management has created at least 20 successful entrepreneurs. (Choose the correct passive voice form)

Options:
(a) At least 20 successful entrepreneurs will be created by my book ‘Boardroom’ on management.
(b) At least 20 successful entrepreneurs have been created by my book ‘Boardroom’ on management.
(c) At least 20 successful entrepreneurs has been created by my book ‘Boardroom’ on management.
(d) At least 20 successful entrepreneurs are created by my book ‘Boardroom’ on management.

Correct Answer: (b) At least 20 successful entrepreneurs have been created by my book ‘Boardroom’ on management.

A6. Rewrite the given sentences with the appropriate word given in the bracket: (2 Marks)

(existence, management, entrepreneurs, rationally, symphony, autobiography)

1. There is no human existence on Mars.
2. Symphony of emotions make a relation musical.
3. ‘My experiments With Truth’ is a famous autobiography.
4. Time management is very significant during examination.

B1. Language study - Do as directed: (3 Marks)

(i) I can teach four languages including French. (Choose the correct option replacing the modal auxiliary showing ‘compulsion’.)

Correct Answer: (c) I must teach four languages including French.

(ii) Netra is always interested in school excursions. (Choose the correct Rhetorical question form.)

Correct Answer: (d) Isn’t Netra always interested in school excursions?

(iii) There are many people who had a desire to speak ‘correct’ English. (Choose the correct simple sentence form.)

Correct Answer: (b) Many people have a desire to speak ‘Correct’ English.

B2. Spot the error and rewrite correct sentence: (1 Mark)

English movies has entertained the world.

Answer: English movies have entertained the world.

Q. 2. (A) Read the following extract and complete the activities given below: (12 Marks)

(Extract Source: Green Belt Movement / Wangari Maathai)

A1. Complete the web diagram on ‘the impacts of environmental degradation’: (2 Marks)

Center: Impacts of Environmental degradation

1. Lack of firewood, clean drinking water, and balanced diets
2. Scramble for scarce resources
3. Poverty and even conflict
4. Incapacity to sustain families / Malnutrition

12th English Board Papers

• English - February 2025 View Answer Key
• English - July 2025 View Answer Key
• English - February 2024 View Answer Key
• English - July 2024 View Answer Key
• English - February 2023 View Answer Key
• English - July 2023 View Answer Key
• English - February 2022 View Answer Key
• English - February 2022 View Answer Key
• English - July 2022 View Answer Key
• English - September 2021 View Answer Key
• English - March 2020 View
• English - March 2014 View
• English - October 2014 View
• English - March 2015 View
• English - July 2015 View
• English - March 2016 Set A View
• English - March 2016 Set B View
• English - March 2016 Set C View
• English - March 2016 Set D View
• English - July 2016 Set A View
• English - July 2016 Set B View
• English - July 2016 Set C View
• English - July 2016 Set D View
• English - March 2017 Set A View
• English - March 2017 Set B View
• English - March 2017 Set C View
• English - March 2017 Set D View
• English - July 2017 Set A View
• English - March 2018 Set A View
• English - March 2018 Set B View
• English - March 2018 Set C View
• English - March 2018 Set D View
• English - March 2019 Set A View
• English - March 2019 Set B View
• English - March 2019 Set C View
• English - March 2019 Set D View

A2. Provide the supporting details from the extract that highlight the positive effects of tree plantation: (2 Marks)

Positive effects of tree plantation	(1) It is simple, attainable and guarantees quick, successful results.
	(2) It sustains interest and commitment within a reasonable amount of time.
	(3) Trees provide fuel, food, shelter, and income to support education and needs.
	(4) The activity creates employment and improves soil and watersheds.

A3. Environmental degradation and mismanagement affect the life in rural Kenya. Explain. (2 Marks)

Answer: Environmental degradation leads to a scarcity of basic resources like firewood, clean water, and balanced diets. This places a heavy burden on rural women who are the primary caretakers. It results in malnutrition, poverty, and conflict over scarce resources, making it difficult for families to sustain themselves.

A4. Suggest some ways to protect your local environment. (2 Marks)

Answer:

• Plant more trees and maintain existing green cover.
• Reduce the use of single-use plastics and encourage recycling.
• Conserve water by rainwater harvesting and fixing leaks.
• Spread awareness about waste segregation and composting.

A5. Language Study - Do as directed: (2 Marks)

(i) Tree planting became a natural choice. (Find out the correct option in which ‘Present Perfect Tense’ is used.)

Correct Answer: (b) Tree planting has become a natural choice.

(ii) They were unable to meet their basic needs. (Choose the correct ‘Negative sentence’ - Note: The instruction implies rewriting with 'not' while keeping the meaning or simply finding the negative form.)

Correct Answer: (c) They were not able to meet their basic needs.

A6. Vocabulary: (2 Marks)

Find out the words from the extract which mean-

1. extremely painful: excruciating
2. all forms of life on earth: bio-diversity
3. act of stealing/removing: plundered
4. the action of making impure by polluting: contamination

Q. 2. (B) Summarising: (3 Marks)

Write a ‘summary’ of the above extract by using the following points.

The Green Belt Movement: Restoring Hope

The extract highlights the severe impact of commercial farming in rural Kenya, which destroyed local biodiversity and forests. This led to a scarcity of essentials like firewood and water, causing poverty, malnutrition, and conflict. To combat this, Wangari Maathai introduced tree planting as a simple yet effective solution. This initiative not only provided fuel, food, and income but also empowered the community, improved the soil, and helped restore the environment, thereby securing the future for the families.

Q. 2. (C) Mind Mapping: (3 Marks)

Prepare a mind map on the topic “Disadvantages of smartphone” using your ideas.

Main Topic: Disadvantages of Smartphone

• Health Issues
  • Eye strain / Vision problems
  • Poor posture (Text neck)
  • Sleep disruption
• Social Impact
  • Reduced face-to-face interaction
  • Cyberbullying
  • Social isolation
• Distraction
  • Poor academic performance
  • Reduced productivity
  • Accidents while driving
• Security Risks
  • Data theft
  • Hacking
  • Loss of privacy

SECTION II: POETRY

(Poetry and Appreciation)

Q. 3. (A) Read the extract and complete the activities given below: (10 Marks)

(Poem: "Money" by William H. Davies)

A1. Compare the lifestyle of the rich and poor people: (2 Marks)

Rich people	Poor people
(i) They have many false friends who visit only for their wealth.	(i) Their hearts are light and free from the anxiety of wealth.
(ii) They feel fear and worry, often frowning coldly.	(ii) They are content, and their wives hum like bees while working.

A2. Explain the reasons for which many false friends came knocking at the poet’s door. (2 Marks)

Answer: Many false friends came knocking at the poet's door because he had money. These people were attracted solely by his wealth and status, pretending to be friends to gain material benefits, rather than having any genuine affection for him.

A3. Define, ‘Friendship’ in your own words. (2 Marks)

Answer: Friendship is a selfless bond of trust, support, and mutual affection between individuals. True friendship remains constant during both good and bad times and is not influenced by material wealth or social status.

A4. Name and explain the figure of speech in the following line: (2 Marks)

‘Much have I thought of life, and seen’

Answer: Inversion.
Explanation: The word order is changed for poetic effect. The correct prose order is "I have thought and seen much of life."

A5. Compose four poetic lines of your own on ‘happiness.’ (2 Marks)

Answer:
Happiness lies not in gold or greed,
But in helping a friend in need.
A simple life with love to share,
Is the true wealth beyond compare.

Q. 3. (B) Appreciation: (4 Marks)

Read the extract and write the appreciation of the poem given below: (Poem: Father Returning Home)

Title: Father Returning Home
Poet: Dilip Chitre

Theme: The poem deals with the themes of alienation, loneliness, and the generation gap in modern urban life. It portrays the dull, monotonous routine of an elderly father who feels isolated even within his own family.

Poetic Devices: The poet uses vivid Imagery (e.g., "yellow light", "soggy shirt", "muddy bag") to create a gloomy atmosphere. Simile is used effectively in the line "Like a word dropped from a long sentence" to highlight the father's insignificance. Alliteration is seen in "suburbs slide".

Message: The poem conveys the painful reality of the elderly who are neglected by the younger generation. It highlights how urbanization has eroded emotional bonds, leaving individuals isolated in a crowd.

Opinion: I find the poem very touching and realistic. It serves as a mirror to society, urging us to be more compassionate towards our parents and the elderly.

SECTION III: WRITING SKILLS

Q. 4. Complete the activities as per the instructions given below: (16 Marks)

(A) Attempt ‘Any One’ of the following activities: (4 Marks)

(i) Drafting a virtual message:

Question: Imagine, Sunny has been selected to appear in the final round of the singing competition. Sunny’s father has moved out of the city for some official work. Sunny tried to call his father several times. But, due to the connectivity issues, he is unable to contact his father. Draft a virtual message in about 50 words to convey this information/news to his father.

Date: 25th July 2024     Time: 4:00 PM

Dear Dad,

I have great news! I have been selected for the final round of the singing competition. I tried calling you to share this happiness, but couldn't get through due to network issues. I am very excited and wanted you to know immediately. Hope your work trip is going well.

Love,
Sunny

OR

(ii) Statement of Purpose:

Question: Imagine you wish to pursue a Bachelor’s degree in ‘Communication Skills,’ at a reputed university in India or abroad to enhance your career in corporate correspondence. Prepare a statement of purpose in about 150 words which will help you to get admission in your dream university.

Statement of Purpose

Communication is the bridge between confusion and clarity. From a young age, I have been fascinated by how words shape perceptions and drive decisions. As a student of the Commerce stream, I realized that technical knowledge is futile without the ability to articulate it effectively. This realization has driven my desire to pursue a Bachelor’s degree in Communication Skills at your esteemed university.

My academic journey has been consistent, with a strong focus on languages and social sciences. I have actively participated in debates and served as the editor of my school magazine, which honed my writing and public speaking abilities. However, to thrive in the dynamic world of corporate correspondence, I need professional training.

Your university offers a curriculum that perfectly blends theory with practical exposure. I am particularly interested in your modules on Digital Media and Corporate Rhetoric. I am confident that this course will equip me with the necessary skills to become a proficient corporate communicator. I am eager to contribute to and learn from the diverse student community at your institution.

OR

(iii) Group Discussion:

Question: Imagine the XII class students attended a presentation on “writing skill” conducted by a distinguished personality. Write a group discussion in the form of dialogues associated with this presentation among 3/4 student participants.

Topic: Reflections on the "Writing Skill" Presentation

Participants: Rahul, Priya, Amit, and Sneha.

Rahul: Hi everyone, today's session on writing skills was really eye-opening, wasn't it? I never realized that 'brevity is the soul of wit' applies so strictly to corporate writing.

Priya: Absolutely, Rahul. I liked the point the speaker made about knowing your audience. I used to think using complex vocabulary was impressive, but he clarified that simplicity connects better.

Amit: That’s true. However, I felt he focused too much on formal writing. I wish he had covered creative writing a bit more. What do you think, Sneha?

Sneha: I agree with Amit to an extent, but since it was geared towards future careers, the formal aspect was necessary. My takeaway was the importance of proofreading. I often skip that step.

Rahul: Valid point, Sneha. The 'Draft-Edit-Polish' technique he explained is something I’m definitely going to apply in our upcoming English project.

Priya: Agreed. Overall, it was a very productive session. It changed my perspective on how to structure thoughts on paper.

(B) Attempt ‘Any One’ of the following activities: (4 Marks)

(i) E-mail:

Question: Imagine your housing colony wishes to organise a programme in view of ‘World Ozone Day.’ As the secretary of the colony, draft an email to a distinguished personality to invite him as a chief guest for the same.

To: dr.kulkarni.env@scienceforum.org
Subject: Invitation as Chief Guest for 'World Ozone Day' Awareness Programme

Respected Dr. Kulkarni,

I hope this email finds you well. I am writing to you in my capacity as the Secretary of Sunrise Housing Society, Pune.

We are organizing a community awareness programme on the occasion of 'World Ozone Day' on 16th September 2024. The event aims to educate our residents, particularly the youth, about the importance of the ozone layer and sustainable living practices.

Knowing your vast contribution to Environmental Science and your inspiring work in climate preservation, it would be a distinct honor for us to have you as our Chief Guest. We would be grateful if you could address the gathering and share your valuable insights.

The event is scheduled from 10:00 AM to 12:00 PM at our Society Clubhouse. We look forward to a positive response.

Warm Regards,
Rohan Deshmukh
Secretary, Sunrise Housing Society

OR

(ii) Report Writing:

Question: Imagine your college recently organised a programme on ‘Personality Development.’ As a student incharge, write a report of the same in about 150 words for your college magazine.

Personality Development Workshop: Unlocking Potential

- By Student Incharge, Class XII

Mumbai, July 20: Ideally College organized a dynamic one-day workshop on ‘Personality Development’ on 18th July 2024 in the college auditorium. The objective was to groom students for future professional challenges and enhance their soft skills.

The programme began at 9:00 AM with the lighting of the lamp by the Principal, Dr. A. Joshi. The keynote speaker was Mr. Vikram Singh, a renowned corporate trainer. He conducted interactive sessions on body language, effective communication, and time management. He emphasized that personality is not just about external appearance but about character, confidence, and attitude.

Around 200 students from the Commerce and Arts streams participated. Activities like mock interviews and role-plays were the highlights, helping students overcome stage fear. The session concluded with a Q&A round where students cleared their doubts regarding career etiquette.

The workshop was a resounding success, leaving students motivated and better equipped to face the competitive world.

OR

(iii) Interview:

Question: Imagine you wish to conduct an interview of a ‘social worker.’ With the help of the format given below, draft questions on the given fields. (Format: Name, Field, Date/Time/Duration, Questions on: Early interests, Challenges, Role models, Achievements, Feedback, Family support, Govt support, Future plans).

Name of the interviewee: Mrs. Sindhu Sapkal (Hypothetical)
Field/Reputation: Child Welfare and Orphanage Management
Date/Venue/Time: 25th July 2024, Sanmati Bal Niketan, 11:00 AM
Duration: 45 Minutes

Questions:

1. Early interests: What inspired you to choose social work as your path at such a young age?
2. Challenges faced: What were the biggest hurdles you faced when you first started this orphanage?
3. Role model/s: Who has been your biggest inspiration or mentor in this journey of service?
4. Achievements/Awards: You have received numerous awards; which one is closest to your heart and why?
5. Family support: How did your family react when you decided to dedicate your life to social service?
6. Government support: Do you think the government schemes for child welfare are sufficient, or is more support needed?
7. Feedback: How does it feel when the children you raised return as successful adults to help the organization?
8. Future plans: What is your vision for the organization for the next five years?

(C) Attempt ‘Any One’ of the following activities: (4 Marks)

(i) Speech:

Question: Imagine you wish to participate in an intercollegiate elocution competition. You have selected ‘Should we keep pets?’ as your topic for your speech. Draft a speech in about 150 words on this topic.

Honorable Judges, Teachers, and my dear friends,

A very good morning to all. Today, I stand before you to speak on the topic, "Should we keep pets?"

In a world that is becoming increasingly digital and disconnected, pets serve as a bridge to nature and unconditional love. Keeping a pet—whether a dog, cat, or hamster—is not just a hobby; it is a lesson in humanity. Pets teach us responsibility, empathy, and patience. Scientific studies have proven that the company of animals reduces stress, lowers blood pressure, and alleviates loneliness.

However, we must ask ourselves: are we ready for them? Keeping a pet is a lifelong commitment. It requires time, financial resources, and emotional investment. If we keep pets merely for status or entertainment without caring for their needs, it is cruel.

So, should we keep pets? My answer is a resounding 'Yes,' but only if we are willing to treat them as family members. They don't just need a home; they need a heart to live in.

Thank you.

OR

(ii) Compering:

Question: Imagine your college is organising a programme to celebrate ‘Teacher’s Day.’ You are given the responsibility to compere at the programme. Prepare the programme script deciding the flow of the whole programme. (Points: prayer, welcome, introduction, felicitation, speeches, vote of thanks).

1. Introduction & Welcome:
"Good morning to our Respected Principal, beloved teachers, and enthusiastic students! Today is a special day where we celebrate the guiding lights of our lives. Welcome to the Teacher's Day celebration of 2024!"

2. Prayer:
"To begin this auspicious occasion, let us invoke the blessings of the Almighty. I request the college choir to come forward for the prayer song. (Prayer follows...)"

3. Introduction of the Function:
"Dr. Sarvepalli Radhakrishnan said, 'Teachers should be the best minds in the country.' Today, we honor the dedication and hard work of our teachers who mold us into better citizens."

4. Felicitation:
"I now request our Student Council President to felicitate our Principal and teachers with a token of our love and appreciation—a rose and a handmade card."

5. Speeches:
"Now, I would like to invite Miss Anjali from Class XII to share her thoughts on behalf of the students... (After speech) Thank you, Anjali. Now, may I request our Principal Sir to address the gathering."

6. Vote of Thanks:
"As we come to the end of this beautiful ceremony, I call upon Mr. Rohit to propose the vote of thanks. Thank you, teachers, for everything. Happy Teacher's Day!"

OR

(iii) Expansion of Idea:

Question: Expand the following idea with the help of the points given below (100 to 150 words): ‘The wise man has long ears and a short tongue.’ (Points: One should be a good listener, Listening adds to your knowledge, Speaking to the point catches attention).

The Wise Man Has Long Ears and a Short Tongue

There is a reason why nature has given us two ears but only one tongue; it is so that we may listen twice as much as we speak. This proverb highlights the virtue of listening over excessive talking.

A wise person understands that speaking only repeats what one already knows, whereas listening opens the door to new knowledge. "Long ears" symbolize patience and the willingness to absorb information, understand different perspectives, and empathize with others. "A short tongue" represents brevity and discretion. Speaking less prevents one from saying foolish or regretful things.

In today's world, everyone wants to be heard, but few want to listen. Great leaders and thinkers are often great listeners. When we speak to the point, our words carry weight and command respect. Therefore, wisdom lies in observing silence, listening deeply, and speaking only when necessary and valuable.

(D) Attempt ‘Any One’ of the following activities: (4 Marks)

(i) Review:

Question: You have recently read a ‘Book’/‘Magazine.’ Write a ‘Review’ on the same with the help of the following points: Title/Contents, Objectives/Features/Characteristics, Presentation/Creativity/Novelty, Personal views/Opinion/Evaluation.

Book Review: "Wings of Fire"

Title & Author: "Wings of Fire" is the autobiography of Dr. A.P.J. Abdul Kalam, written with Arun Tiwari.

Contents & Theme: The book narrates the journey of a young boy from Rameswaram who overcame humble beginnings to become a premier scientist and the President of India. It covers his early life, his work at ISRO and DRDO, and the development of the Agni and Prithvi missiles.

Presentation & Style: The narrative is simple yet powerful. It is not just technical but deeply spiritual and patriotic. The inclusion of photos and poems adds a personal touch to the scientific journey.

Personal Opinion: This book is a beacon of hope. It teaches that with perseverance, hard work, and humility, any dream can be achieved. It is not just a biography but a manual for life. I highly recommend it to every student who dares to dream big.

OR

(ii) Blog:

Question: Write a ‘Blog’ in a proper format on ‘Leisure and Entertainment’ with the help of the following points (100 to 150 words): Contextual meaning, Why the need?, What changes can be noticed?, Do’s and don’ts.

Recharging the Soul: The Art of Leisure

Published on July 26, 2024 | By [Student Name]

What is Leisure?
Leisure is not just free time; it is the quality of time we spend away from work and domestic chores. It is the time for recreation, entertainment, and personal growth.

Why do we need it?
In our fast-paced "hustle culture," burnout is real. Leisure acts as a reset button for the brain. It boosts creativity, reduces stress, and improves mental health.

Changing Trends:
Gone are the days when leisure meant reading a book or playing outdoors. Today, entertainment has shifted to OTT platforms, gaming, and social media scrolling. While accessible, this often leads to digital fatigue rather than relaxation.

Do's and Don'ts:
Do: Engage in active leisure like sports, hobbies, or travel. Connect with nature.
Don't: Don't let screen time consume your leisure. Don't feel guilty for taking a break.

Remember, we work to live, not live to work!

OR

(iii) Appeal:

Question: Prepare an ‘Appeal’ on the topic “Avoid Unauthorised Hoardings and Banners” with the help of the following points (100 to 150 words): Reduces the beauty of the area, Conflict, Distractions on the road, Causes accidents.

STOP THE VISUAL POLLUTION!

Say NO to Unauthorised Hoardings and Banners

Citizens of Our City,

Look around! Our beautiful city is being defaced by ugly, illegal hoardings and banners.

• ⚠ They destroy the scenic beauty of our architecture.
• ⚠ They cause political and social conflicts.
• ⚠ They distract drivers, leading to fatal road accidents.
• ⚠ They pose a danger of falling during heavy winds.

Let’s Keep Our City Clean, Green, and Safe!

Report illegal hoardings to the Municipal Corporation Helpline: 1800-XXX-XXXX

Issued in public interest by: Concerned Citizens Group

SECTION- IV: (LITERARY GENRE-NOVEL)

Q. 5. (A) Complete the activities given below as per the instructions: (4 Marks)

(i) Match the column:

Column ‘A’	Column ‘B’ (Correct Matches)
(1) Setting	(c) The background of the story
(2) Conflict	(d) Provides interest and curiosity
(3) Plot	(a) Course of events
(4) Theme	(b) Central idea

(ii) Choose the correct alternatives and rewrite the sentences:

(a) Stream of consciousness is a phrase coined by William James.

(b) Frankenstein is considered as the first novel based on science and technology.

(c) The word ‘Novella,’ is originated from the Italian word.

(d) The Picaresque novel narrates the adventures of the protagonist.

(B) Answer in about 50 words to the questions given below: (4 Marks)

(i) The extract presents E.R. Braithwaite as a silent observer in ‘To Sir, with Love.’ Explain.

Answer: In the extract concerning the half-yearly report, Braithwaite takes a back seat. He does not organize the event but allows the students to take full charge. He silently observes their presentation, their confidence, and their management skills from the audience, feeling immense pride in their transformation and independence.

(ii) Justify how the half-yearly report of Students’ Council was an important event for the teachers and students.

Answer: The event was crucial as it bridged the gap between teachers and students. For students, it was a platform to voice their opinions, demonstrate their learning, and showcase maturity. For teachers, it provided valuable feedback on their teaching methods and allowed them to see the students' development beyond just academics.

(C) Answer in about 50 words to the questions given below: (4 Marks)

(i) Compare the characters Passepartout and Detective Fix from the novel ‘Around the World in Eighty Days’.

Answer: Passepartout is loyal, emotional, and comedic, serving Fogg faithfully and aiding his journey. In contrast, Detective Fix is suspicious, calculating, and cynical. While Passepartout acts as a helper to the protagonist, Fix acts as an obstacle, constantly trying to delay Fogg to arrest him, believing him to be a bank robber.

(ii) Aouda’s acceptance of Fogg’s marriage proposal is a pleasant part in the plot of ‘Around the World in Eighty Days.’ Comment.

Answer: Fogg is depicted as a cold, mechanical man obsessed with his bet. Aouda's acceptance of his proposal signifies the humanization of Fogg. It brings a romantic and emotional climax to the story, proving that while Fogg may have thought he lost the wager (initially), he won something far more valuable—love and happiness.

(D) Answer in about 50 words to the questions given below: (4 Marks)

(i) Sherlock Holmes is the leading character in the extract ‘The Sign of Four.’ Elaborate.

Answer: Sherlock Holmes dominates the scene with his sharp intellect and deductive reasoning. He analyzes the clues (like the handwriting and pearls) with precision, providing direction to the mystery. His confident demeanor calms the client, Mary Morstan, and drives the plot forward, establishing him as the brilliant focal point of the investigation.

(ii) Narrate the case of Miss Morstan in your words.

Answer: Mary Morstan's father, an officer, disappeared ten years ago upon returning to London. For the past six years, she has received a valuable pearl annually from an unknown sender. Recently, she received a letter promising her "justice" and asking for a meeting, which led her to seek Holmes' assistance to unravel the mystery.