17 Model Questions 1. Nikol Pashinyan was re-appointed as the Prime Minister of...... Satpura Tiger Reserve 1) Albania 2) Algeria 3) Argentina 4) Armenia 5) Azerbaijan 2. Lamont Marcell Jacobs of which nation won the men’s 100 metres gold at the Tokyo Olympics? is located in..? 1) USA 2) Italy 3) Jamaica ñªëÅ]î¦ô¢Ù ÎÞœú£ªd 11, 2021 n e-mail:[email protected] 4) UK 5) Canada 3. Government of decided to set National International counter-terrorism. India will decide the up a National Centre of Excellence UNO body’s agenda for the month for Animation, Visual Effects, National AYUSH Mission extended ‘Vision for Everyone’ and coordinate important meetings on General Gaming and Comics for creating a world-class talent pool in India to n 14 July 2021, the Union Cabinet a range of issues. The agenda O The United Nations General cater to the Indian as well as a glob- approved the continuation of the Assembly adopted the ‘Vision for includes the discussions on Syria, Iraq, Somalia, Yemen and the Middle Awareness al industry. It will be set up in collab- National AYUSH Mission (NAM) as a Everyone’ resolution on 23 July 2021. East. oration with...... Centrally Sponsored Scheme for The Assembly had given a call to The major scientific objectives of the 1) IIT Madras 2) IIT Bombay another five years till 2026. all nations to ensure access to eye NISER to be launched in 2023 mission are to improve understanding 3) IIT Hyderabad 4) IIT Goa The scheme would continue from 1 care for everyone in their countries of the impact of climate change on 5) IIT Mandi April 2021 to 31 March 2026 with a which would contribute to a global On 30 July 2021, Union Earth Earth's changing ecosystems, land financial implication of Rs.4,607.30 effort to help at least 1.1 billion people Sciences Minister Jitendra Singh 4. Which nation is going to create its and coastal processes, land deforma- crore. with vision impairment who currently informed Lok Sabha that the ISRO- own social media platform called tions and cryosphere. The name of the North Eastern lack eye services by 2030. This reso- NASA joint mission NISER (NASA- ‘Jogajog’ as an alternative to Facebook and ‘Alapon’ for Institute of Folk Medicine (NEIFM) lution is sponsored by Bangladesh, ISRO Synthetic Aperture Radar) S-500 missile systems changed to the North Eastern Institute Antigua and Ireland and co-sponsored satellite, aimed at making global WhatsApp (The nation successfully Lamont Marcell Jacobs of Ayurveda and Folk Medicine by over 100 countries, was adopted by measurement of land surface On 20 July 2021, Russia said it had created ‘Boithok’ app as an alterna- Research (NEIAFMR). NAM was consensus by the world body. changes using advanced radar imag- successfully test-fired its new S-500 tive to Zoom online and ‘Surokkha launched on September 15, 2014. documents and English videos. ing, is proposed to be launched in air defence missile systems at a south- App’ for vaccine registration.) The scheme is being implemented On 2 August 2021, AICTE had shown India chairs Security Council early 2023. ern training range and hit a high-speed 1) Iran 2) Oman 3) Bangladesh the demonstration of this tool in the pres- ballistic target. 4) Singapore 5) Saudi Arabia by the AYUSH Ministry with the objec- On 1 August 2021, India assumed the The satellite is a dual-band (L-band ence of the Vice President of India M. S-500 is expected to have a maxi- 5. Flora Duffy represented which small tive of providing cost-effective services, presidency of the United Nations and S-band) radar imaging mission Venkaiah Naidu. Recently All India mum firing range of 600 kilometres, is nation won the gold medal in the with universal access through upgrad- Security Council for the month of with the capability of full polarimetric Council for Technical Education (AICTE) the most advanced anti-missile system Women’s Triathlon event at the ing AYUSH hospitals and dispensaries. August and is set to organise key and interferometric modes of opera- permitted B.Tech programs in 11 region- in the world and is capable of counter- Tokyo Olympic Games? events in three major areas of mar- tion to observe minor changes in land, All India Quota Scheme al languages, where this tool can be ing attacks from space. itime security, peacekeeping and vegetation and cryosphere. 1) Bermuda 2) Tuvalu On 29 July 2021, Prime Minister helpful for teachers and students. These 3) San Marino 4) Nauru 5) Palau addressed the nation languages are Hindi, Marathi, Tamil, 6. Where the Satpura Tiger Reserve Others Bajrang Punia, who finished with a on the occasion of the first anniversary Telugu, Kannada, Gujarati, Malayalam, National Handloom Day located? (It won the Natwest Group bronze medal in the men's freestyle of the National Education Policy. Bengali, Assamese, Punjabi and Odia. Earth Heroes Award 2021 in the cat- India at Tokyo Olympics 65kg wrestling event, was the flag- National Handloom Day was observed He announced that medical and den- National Research Foundation on 7 August 2021. egory of Earth Guardian for its best India won Seven Medals- one gold, bearer for India at the closing ceremo- management role.) tal courses in the country will have a August 7 was chosen as the On 26 July 2021 Education Minister two silver and four Bronze in Tokyo ny in the Tokyo Olympics event. 27% reservation for OBCs and 10% for National Handloom Day to commemo- 1) Bihar 2) UP 3) MP Economically Weaker Sections (EWS) Dharmendra Pradhan said that the gov- Olympics. Olympics Closing Ceremony 4) Rajasthan 5) Chhattisgarh ernment of India proposes to set up a rate the Swadeshi Movement which under the All India Quota Scheme in UG Neeraj Chopra won a historic gold 7. Abdulla Shahid visited India recent- National Research Foundation (NRF) to On 8 August 2021, the Tokyo Olympic was launched on this day in 1905 in and PG programmes. medal in the men's javelin throw. He ly. He is...... Stadium hosted a closing ceremony Calcutta Town Hall to protest against He also launched an Academic Bank strengthen the research ecosystem in scripted history by becoming indepen- after the medal events came to a con- the partition of Bengal by the British 1) President-elect of the United of Credit (ABC) that will provide students the country. dent India's first athlete to win a medal clusion. International Olympic Government. In 2015 Prime Minister Nations General Assembly with flexible options for entry and exit in NRF is being envisaged as an in a track and field event. He threw a Committee President Thomas Bach Narendra Modi inaugurated the first 2) New President of Haiti higher education. Structured umbrella structure that will improve link- distance of 87.58m to pick the gold declared that the Tokyo Games closed. National Handloom Day. 3) New Prime Minister of Central Assessment for Analyzing Learning ages between Research and medal. African Republic Levels (SAFAL), a competency-based Development, academia and industry. Mirabai Chanu won the silver medal After a short performance in the stadi- World Breastfeeding Week 2021 4) New Secretary-General of WHO assessment framework for Classes 3, 5 The total proposed outlay of NRF is in the Women's 49kg category um, the cauldron closed around the and 8 in CBSE schools were also Rs.50,000 crore over 5 years. One of weightlifting. Olympic flame, extinguishing it. World Breastfeeding Week is cele- 5) President of Bangladesh launched. the main objectives of NRF is to seed, Ravi Kumar Dahiya, the freestyle After the flag handover to the Mayor brated every year from August 1 to 7. 8. G20 education ministers meeting grow and facilitate research at academ- wrestler won a silver medal in the 57kg of Paris, the national anthem of France This year, the theme for breastfeeding was hosted by……… Translation Automation Artificial ic institutions, particularly at universities category. plays in the stadium who will be the week is 'Protect Breastfeeding: A 1) Canada 2) Italy 3) Japan Intelligence Tool and colleges. PV Sindhu won Bronze Medal in hosts of the 2024 Olympics. Shared Responsibility.' 4) USA 5) UK ‘AICTE Translation Automation Artificial Women’s Singles Badminton. The USA at the top in the medal tally World Health Organisation says Key Intelligence Tool’ translates English lan- Lovlina Borgohain won a bronze by getting 39 Gold, 41 Silver and 33 that breastmilk is the ideal food for guage online courses into eleven differ- Writer medal in the Women's welterweight Bronze making a total of 113. China infants. It is safe, clean and acts as 1-4 2-2 3-2 4-3 5-1 6-3 7-1 8-2 ent languages. The tool is capable of event. got second place by getting 38 Gold, the babies first vaccine, protecting Amara Veeraswamy 32 Silver and 18 Bronze making a total them against many common child- For more Information see translating complex formulae, English Indian Hockey Team won the Subject Expert of 88. hood illnesses. books, research journals, government bronze medal by defeating Germany. today’s Edition

F F F F F F F F F F F F F F F F F F F F jø‹ö°uõª l àŸêŸª-ô¢vú£ òÅ¡ªáÙ -cae- Íô³ê¶ Î àŸêŸª-ô¢vú£ jø‹õuÙ =- a2 àŸ.-óŸ´.- l Dô¢+-àŸ-꟪-ô¢vú£ ð»è[÷±, è[-õªpõª ÷ô¢ª-ú£Þ¥ l, b × êÁå jø‹õuÙ ÓEo àŸë]ô¢í£± Oªåô¢ªx? Íô³ê¶ Î Dô¢+-àŸ-꟪-ô¢vú£ jø‹õuÙ =- l b àŸ.óŸ´. l ÷”êŸh î¦uþ§ô¢ÌÄÙ r Íô³ê¶ Î ÷”êŸh jø‹õuÙ 2. O 8 =- πr2 àŸ.-óŸ´. - -c e- ¸ÚÙvë]ÙÞ¥ Ñìo ·ôÙè[ª šúÙ.-Oª, ÷”ê¦hõ î¦uþ§-ô¦ÌÄõª 9 šúÙ.- 6 šúÙ.-Oª.- l d A B ÷”êŸh î¦uú£Ù Íô³ê¶ Î ÷”êŸh jø‹õuÙ ←  ← Oª.-, 12 šúÙ.-Oª.- Íô³ê¶ Î ð¼MúÃ, ÏêŸô¢ Íô³ê¶ 8 πd2 ª. šúÙ.-Oª.  ÷”ê¦hõ ÷ªëÅ]u Ñìo ÷”ê¦h- O í£åÙö˺ =- àŸ.-óŸ´.- →

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ð¼æ© í£K¤Ûõ ví£ê¶uÚÛÙ 6 l Íô¢ÌÄ-÷”êŸh î¦uþ§ô¢ÌÄÙ r Íô³ê¶ Íô¢ÌÄ-÷”êŸh jø‹õuÙ ›ùè à¶ú‡ì vð§ÙêŸ îµjø‹õuÙ vð§ÙêŸ ← C πr2 ÓÙêŸ? sšúÙ.-Oª.2-õö˺z jø‹õuÙ D =-  àŸ.-óŸ´.- ÷«uëÇ]æ¨ÚÂq 2 1) 198 2) 179 3) 199 4) 209 ÓÙêŸ? 2- θ þ§ëÅ]ì:- r = 9 šúÙ.-Oª, R = 12 šúÙ.-Oª. sšúÙ.-Oª.- l šúÚ¥dô jø‹õuÙ =  × πr2 àŸ.-óŸ´.- sö˶ë¯z 4. í£åÙö˺ ABCD D C 360° ›ùè à¶ú‡ì vð§ÙêŸ îµjø‹õuÙ sö˶ë¯z ÷”ê¦h-Ú¥ô¢ ò°å õö˺z- ÖÚÛ àŸêŸª-ô¢vú£Ù.- 1) 34.57 2) 32.57 3) 28.57 4) 30.57 lr jø‹õuÙ - - - -  ë¯E òÅ¡ªáÙ 14 àŸ.-óŸ´. 2 2 ABCD 2 = π(R − r ) = π(R + r)(R − r) šúÙ.-Oª.- APB, þ§ëÅ]ì:- Dô¢+-àŸ-꟪-ô¢vú£Ù ÷”êŸhÙö˺ ÍÙêŸ-Jx-IÙ# P ÑÙC.- l vAòÅ¡ªá òÅ¡«Nª b, Ó꟪h h Íô³ê¶ Î vAòÅ¡ªá 22 CPDõª Íô¢ÌÄ =  (12 + 9)(12 − 9) ABCD Dô¢+-àŸ-꟪-ô¢vú£ ð»è[÷± (l) = 8 šúÙ.-Oª.- 1 7 ÷”ê¦hõª.- AB =  bh ← → ← → jø‹õuÙ - àŸ.-óŸ´.- 22 Íô³ê¶ ›ùè 7 O 7 è[õªp (b) = 6 šúÙ.-Oª.- 2 =  × 21 × 3 ⇒ 22 × 9 šúÙ.-Oª. šúÙ.-Oª.  l a, b, c 7 à¶ú‡ì vð§ÙêŸ √ 2 2 2 2 õª vAòÅ¡ªá òÅ¡ªâ°õª Íô³ê¶ Î vAòÅ¡ªá 2- ÚÛô¢gÙ (d) = BD = l + b πR πr 2 jø‹õuÙ ÓÙêŸ? sšúÙ.-Oª.- õö˺z-  = 198 šúÙ.-Oª .-  = lb + lb + 2 [] − 2[] jø‹õuÙ =- √S(S − a) (S − b) (S − c) àŸ.-óŸ´ ú£-÷«-ëůìÙ:- 1 1) 38 2) 42 3) 46 4) 48 = √82 + 62 2 2   22 l ú£÷ª-ò°ï£‚ vAòÅ¡ªá òÅ¡ªáÙ a Íô³ê¶ Î ú£÷ª-ò°ï£‚ þ§ëÅ]ì: ABCD àŸ-꟪-ô¢vú£Ù √ √ = 14 × 120 + 14 × 120 +  × 49 × 49  = 64 + 36 = 100 = 10 šúÙ.-Oª.- 7 √ 3 AB = r = 14 šúÙ.-Oª.- (BD) = (BD) =  a2 ô¢àŸô³êŸ ÷”êŸh-î¦uú£Ù Dô¢+-àŸ-꟪-ô¢vú£ ÚÛô¢gÙ 22 vAòÅ¡ªá jø‹õuÙ - 4 àŸ.-óŸ´.- (APB CPD) = 14 −  × 35 × 35 úˆšï°àÂ. ô¦ëůÚÛ”ù£g Íô¢ÌÄ-÷”êŸh öË¶ë¯ î¦uú£Ù - šúÙ.-Oª.- =- 10 šúÙ.-Oª.- 7 (APB CPD) (r) Íô¢ÌÄ-÷”êŸh öË¶ë¯ î¦uþ§ô¢ÌÄÙ BD 10 − Nù£óŸª Eí£±éªõª (r) =  =  = 5 = 1680 + 1680 + 7546 3850 14 ÷”êŸh î¦uþ§ô¢ÌÄÙ 2 2 šúÙ.-Oª.- ÷«-CJ ú£÷ª-ú£uõª =  = 7 šúÙ.-Oª. = 10906 − 3850 2- 3. í£åÙö˺ -cOe- ← ›ùè à¶ú‡ì vð§ÙêŸ îµjø‹õuÙ 2 ª. o  = 7056 Oª.- 1. OACB 7 O í£åÙö˺ ›ùè à¶ú‡ì vð§ÙêŸ îµjø‹õuÙ = − - í£åÙö˺ šúÙ.-Oª.- î¦uþ§-ô¢ÌÄÙÞ¥, ÷”êŸh- ¸ÚÙvë]ÙÞ¥ ·ôÙè[ª 14 - ÷”êŸh-j-ø‹õuÙ - Dô¢+-àŸ-꟪-ô¢vú£ jø‹õuÙ šúÙ.-O ú£-÷«-ëůìÙ:- 2 šúÙ.-O = ABCD − π 2 − π 2 − × ¸ÚÙ-vë]ÙÞ¥ Ñìo ÷”êŸhÙö˺ B ÔÚÛ-¸ÚÙvë] ÷”ê¦hõª 7 C 45° D - àŸ-꟪-ô¢vú£ jø‹õuÙ = r lb = (5) 8 6 C 7. í£åÙö˺ ÖÚÛ àŸêŸª-ô¢-vþ§Ú¥ô¢ ú£–õÙ ð»è[÷± 25 Oª.- Î 1 Ñû¦oô³.- î¦æ¨ ª. (APB Í-ô¢ÌÄ-÷”êŸh jø‹õuÙ + CPD Í-ô¢ÌÄ-÷”êŸh jø‹õuÙz 22 550  D → 20 15 - ÷ òÅ°Þ¥Eo ú£«#-ú£ªhÙC.- ª. =  × 25 − 48 =  − 48 ú£–õÙ ö˺í£õ Oª.- ð»è[÷±, Oª.- è[-õªpêÁ 4 î¦uþ§-ô¦ÌÄõª ÷ô¢ª- πr2 πr2 7 7 2 Dô¢+-àŸ-꟪-ô¢-vþ§-Ú¥-ô¢Ùö˺ ÖÚÛ ÏÙæ¨E EJtÙ-à¦ô¢ª.- ë¯E šúÙ.O −   ú£Þ¥ 7 šúÙ.-Oª, = r + − 2

OD = 4 4 - šúÙ.-Oª.- Íô³ê¶ A B [ 2 2 ] = 78.57 48 = 30.57 šúÙ.-Oª. àŸªå«d A O 14 šúÙ.-Oª.- Î í£åÙö˺ ›ùè à¶ú‡ì vð§ÙêŸ 7 šúÙ.-Oª. 22 ú£-÷«-ëůìÙ:- 4 ñóŸªå ÷”ê¦hõ à¦ð§õª = r2 − πr2 = 142 −  × 7 × 7 jø‹õuÙ ÓÙêŸ? sàŸ.-šúÙ.-Oª.-õö˺z 7 6. í£åÙö˺ 14 Oª.- è[õªp, 120 Oª.- ð»è[÷± Ñìo êÁåìª ÷ô¢ª-ú£Þ¥ CD, AB. AOB = 45° Í-ô³ê¶ í£åÙö˺ 1) 21.5 2) 22.5 3) 23.5 4) 24.5 − 2 ª.

- - - - = 196 154 = 42 → 2 šúÙ.-Oª.- ÖÚÛ ÍëǵxæÀ væ°Ú ¸ô&óŸª ÷«ô¦_-EÚ¨ #÷-ôÁx ·ôÙè[ª šíÙà¦ô¢ª.- O OACB 7 O ›ùè à¶ú‡ì vð§ÙêŸ îµjø‹õuÙ ÓÙêŸ? sšúÙ.-Oª. → þ§ëÅ]ì: Í-û¶C šúÙ.-Oª.- î¦uþ§-ô¢ÌÄÙÞ¥, õö˺z ú£Ù¤¨í£h í£ë]ÌÄA: Íô¢ÌÄ-÷”-ê¦hõª Ñû¦oô³.- Íô¢ÌÄ-÷”-ê¦hõ ÍÙêŸô¢ î¦uþ§ô¢ÌÄÙ Íô³ê¶ 15 1 35 Oª.- í£åÙö˺ ¸ÚÙvë]ÙÞ¥ Ñìo ÖÚÛ ÷”êŸhÙö˺ -÷ òÅ°Þ¥Eo 1) 61.-33 2) 42.-33 3) 46.-33 4) 57.-75 A D 4 Íô³ê¶ ›ùè à¶ú‡ì → → þ§ëÅ]ì:- í£åÙö˺ ›ùè à¶ú‡ì vð§ÙêŸ îµjø‹-öuÙ 20 Oª. ú£«#-ú£ªhÙC.- ÍÙç˶ OACB Íû¶C šúÚ¥dôÂ. í£åÙö˺ → ← B C vð§ÙêŸ = OAB − OCD sö˶ë¯z - šú-Ú¥dô jø‹õuÙ šú-Ú¥dô jø‹õuÙ ›ùè à¶ú‡ì jø‹õuÙ →  → OACB šú-Ú¥dô î¦uþ§ô¢ÌÄÙ (r) =- 7 šúÙ.-Oª.- 25 Oª. θ θ vð§ÙêŸÙ O' sö˶ë¯z êÁå 1 360-° =  πR2 −  πr2 O (θ) = 360°  =  = 90° 360° 360° jø‹õuÙ ÓÙêŸ? sàŸ.-Oª.-õö˺z ÚÁéÙ - - ö˺ 4 - ÷ òŰޜ٠4 - - sÍëǵxæÀ E H θ væ°ÚÂz 1) 275 2) 300 4) 325 4) 350 θ  π 2 − 2  × π 2 = (R r ) OACB šú-Ú¥dô jø‹õuÙ =- - r 360° jø‹õuÙ ← → (r) = 25 360° FG120 Oª. þ§ëÅ]ì:- àŸêŸª-ô¢-vþ§-Ú¥ô¢ ú£–õÙ ð»è[÷± Oª.- - θ sö˶ë¯z àŸêŸª-ô¢-vú£Ùö˺ ÷”êŸhÙ ÍÙêŸ-Jx-IÙ# ÑÙç˶, ÓÙêŸ? 90° 22 77 =  π(R + r)(R − r) sOª.-2-õö˺z ú£–õÙ ö˺í£õ Dô¢+-àŸ-꟪-ô¢-vþ§-Ú¥-ô¢Ùö˺ ÏÙæ¨E EJtÙ-à¦ô¢ª.- =  ×  × 7 × 7 =  = 38.5 àŸ.-šúÙ.-Oª. 360° šíj í£æ°ö˺x ›ùè à¶ú‡ì vð§ÙêŸ îµjø‹-ö°uõª =- 360-° 7 2 1) 6856 2) 7056 3) 7256 4) 7456 Ð ÏÙæ¨ ð»è[÷± (l) = 20 Oª.- 45° 22 6 ∆AOD ö˺ O = 90°, ∆AOD j-ø‹õuÙ =  ×  × (14 + 7)(14 − 7) - r2sÏÚÛ\è[ r = 7 šúÙ.-Oª.z þ§ëÅ]ì:- OB = O'C = 35 Oª.- è[õªp (b) = 15 Oª.- 360° 7 7 1 - AB = CD = 14 Oª.; ›ùè à¶ú‡ì vð§ÙêŸ îµjø‹õuÙ sêÁå jø‹õuÙz =  × AO × OD 45 22 6 = − 2 =  ×  × 21 × 7 =- - × 7 × 7 OA = O'D = 35 + 14 = 49 Oª. - - àŸêŸª-ô¢vú£ jø‹õuÙ - ÏÙæ¨ ú£–õ٠jø‹õuÙ 1 360 7 7 2 − =  × 7 × 4 = 14 šúÙ.-Oª.- ›ùèÂ-à¶-ú‡ì vð§ÙêŸ îµjø‹õuÙ = r lb 2 1 22 2 = - × - × 21 × 7 = 42 šúÙ.-Oª.- =- ABCD Dô¢+-àŸ-꟪-ô¢vú£ jø‹õuÙ +- EFGH Dô¢+àŸêŸª- = 252 − 20 × 15 8 7 ›ùè à¶ú‡ì vð§ÙêŸ îµjø‹õuÙ ú£-÷«-ëůìÙ:- 2 ô¢vú£ jø‹õuÙ +- 2 s49 Oª.- î¦uþ§-ô¢ÌÄÙêÁ Íô¢ÌÄ-÷”êŸh = 625 − 300 =- OACB šúÚ¥dô jø‹õuÙ −- ∆OAD jø‹õuÙ 231 5. ABCD − = - = 57.-75 šúÙ.-Oª.2 ÖÚÛ ÷”êŸhÙö˺ Dô¢+-àŸ-꟪ô¢ªvú£Ù ÍÙêŸ-Jx-IÙ# jø‹õuÙz -2 s35 Oª.- î¦uþ§-ô¢ÌÄÙêÁ Íô¢ÌÄ-÷”êŸh = 325 àŸ.-Oª.-õö˺ = 38.5 − 14 = 24.5 àŸ.-šúÙ.-Oª.- ú£-÷«-ëůìÙ:- 4 4 ú£-÷«-ëůìÙ:- 4 ÑÙC.- Î Dô¢+àŸêŸª-ô¢vú£ ð»è[÷±, è[-õªpõª ÷ô¢ª-ú£Þ¥ jø‹õuÙz ú£-÷«-ëůìÙ:- 3

GH ñªëÅ]î¦ô¢Ù ÎÞœú£ªd 11, 2021 n e-mail:[email protected] 17

National Dholavira in world heritage sites list 'Kar De Kamaal Tu' Dholavira, the archeological site of a Harappan-era city, was declared as a world heritage site by UNESCO. It became the 40th Indian site on is the theme song of... UNESCO’s World Heritage list sprawled over 100 hectares on Khadir, an island in the Rann of Kutch in Gujrat. empowerment. Global Education summit On 27th July 2021, the 44th session International Providing digital identity Aadhaar of the UNESCO World Heritage to 1.29 billion users, opening bank On 28 July 2021, the two-day Global Committee in Fuzhou, China hailed the General Best Student Cities 2022 ranking accounts of 430 million poor people is Education summit was begun in greatness of the site and its unique London. The United Kingdom and QS (Quacquarelli Symonds) Best the testimony of the success of digital- characteristics, such as its water man- Kenya are co-hosting this summit to Awareness Student Cities 2022 ranking was isation sponsored by the Government agement system, multi-layered defen- raise $5 billion for the Global released. London, Munich and Seoul of India. sive mechanisms, extensive use of Partnership for Education (GPE), are the top 3 cities in the list whereas Around 900 million citizens are stone in construction and special burial which funds public education in up to that India’s nuclear power capacity is Mumbai and Bengaluru are out of the receiving benefits from one or more structures. The ancient city of Dholavira 90 countries and territories. These expected to reach 22,480 MW by Top 100 and are ranked at 106th and schemes. is one of the most remarkable and well- countries are home to more than 80% 2031 from the current 6,780 MW. The 110th position. This has not only empowered the preserved urban settlements in South of the world’s out-of-school children. share of nuclear power in the total QS Best Student Cities 2022 Ranking common citizens but has also led to Asia dating from the 3rd to mid-2nd mil- electricity generation in the country is lennium BCE (Before Common Era). covers metrics like university rankings, savings of over US $24 billion in the Cutlass Express 2021 about 3.1 percent in 2020-21. student mix, desirability, employer last 7 years. The Multi-National Maritime Exercise New CM of Karnataka Pramod Bhagat Presently there are 22 reactors with a activity and affordability. total capacity of 6,780 MW in opera- ‘Cutlass Express 2021’ was held On 28 July 2021, Basavaraj Bommai ‘Eutelsat Quantum’ tion in the nation. 10 nuclear power G20 Digital Ministers' Meeting between 26th July and 6th Aug 2021. was sworn in as the new Chief Minister coast of Kochi in Kerala. reactors with 8000 MW capacity are The exercise was sponsored by USA of Karnataka. He was sworn in by By this, India achieved the capability G20 Digital Ministers' Meeting hosted On 30 July 2021, the European Space under construction. Africa Command and was conducted to build its aircraft carriers. According to Agency (ESA) launched the world's Karnataka Governor Thaawarchand at Trieste by Italy on 5 August 2021. by USA Naval Forces Africa. Gehlot. The new chief minister is the the Navy, the Indigenous Aircraft Carrier first commercial fully reprogrammable MPATGM indigenously developed The meeting adopted a declaration The Indian Naval Ship (INS) Talwar son of the former chief minister and (IAC) is the largest and most complex satellite ‘Eutelsat Quantum’. for "Leveraging Digitalization for a represented India. Exercise Cutlass Janata Parivar leader S.R. Bommai. warship ever to be designed and built-in On 21 July 2021, the Defence The Eutelsat Quantum was set off Resilient, Strong, Sustainable and Express held in Kenya was designed India. The aircraft carrier is expected to Research and Development from French Guiana developed under ‘Vikrant’ sea trials Inclusive Recovery". to improve regional cooperation, mar- be commissioned into the Indian Navy in Organisation (DRDO) successfully an ESA partnership project with satel- The Ministers agreed to work itime domain awareness and informa- On 4 August 2021, India’s first indige- the second half of next year. The ship flight-tested indigenously developed lite operator Eutelsat and prime manu- towards the enhanced cooperation on tion sharing practices to increase nously designed and built aircraft carri- has been built by the Cochin Shipyard third-generation Man Portable facturer Airbus. the pillars of the Digital Economy and capabilities between the USA, East er ‘Vikrant’ began its sea trials off the Limited. The basin trials were completed Antitank Guided Missile (MPATGM). Digital Government. A re-programmable satellite allows African and Western Indian Ocean in November 2020. The project cost is The missile was launched from a Union Minister of Electronics & the user to change the communica- nations to counter illicit maritime activi- estimated at almost Rs.23,000 crore. man-portable launcher integrated with tions as per need, in real- time. The Writer Information Technology, Ashwini ty in the Western Indian Ocean. Nuclear Power Capacity a thermal site and all the mission Vaishnaw shared the transformation traditional models do not have this fea- Amara Veeraswamy objectives were met. The missile hit achieved through Digital India since ture which is designed and “hard- For more Information see Subject Expert On 4 August 2021 Atomic Energy and the target in direct attack mode and 2015 for digital inclusion and social wired” on Earth. today’s AP Edition Space Minister Dr Jitendra Singh said destroyed it with precision.

Model Questions 4) Azadi Amrith Ki Mahotsav Award 1) France 2) USA 3) south Africa Others day several countries signed the on 5 August 2021. The first edition of agreement in the Saint Petersburg the FIDE Women's Chess World Cup 1. Who won a gold medal at the World 5) Milka Singh Khel Ratna Award 4) Canada 5) Jamaica 'Kar De Kamaal Tu' Tiger Summit, which was held in 2021 was also held. In the tournament, Cadet Wrestling Championship 4. Jose Pedro Castillo Terrones is the 7. Who was named Differently Abled Russia in 2010. The theme for Russia’s Alexandra Kosteniuk held in Budapest, Hungary in the new president of ………. Sportsman of the Year at Indian On 3 August 2021, Union Sports International Tiger Day 2021 is - “Their emerged victorious against fellow 73kg category? 1) Lebanon 2) Kingdom of Eswatini Sports Honour for 2019? Minister Anurag Thakur virtually Survival is in our hands”. country woman Aleksandra 3) Haiti 4) Vietnam 5) Peru 1) Devendra Jhajharia launched the theme song 'Kar De 1) Kavita Devi 2) Dilsher Shanky India successfully doubled the tiger Goryachkina. 2) Mariyappan Thangavelu Kamaal Tu' for the country's 3) Priya Malik 4) Vinesh Phogat 5. Who became the youngest person population ahead of the 2022 target. Paralympic contingent. 5) Divya Kakran in the world to reach the summit of 3) Pramod Bhagat However, as per the United Nations K2, the second-highest peak in the The song is composed and sung by 2. First Indian city to become 100 per- 4) Singhraj Prem 5) Sandeep study, the population of tigers has fall- Some more... world? divyang cricket player Sanjeev Singh. cent COVID-19 vaccinated is..... 8. Border Roads Organisation (BRO) en by 95 percent in the last century G Union ministry of minority affairs 1) constructed the world’s highest India is sending its biggest-ever contin- due to causes including wildlife traffick- 1) Bhubaneswar 2) Pune gent to the Tokyo Paralympics which announced that Muslim Women's 3) Hyderabad 4) Indore 2) Malavath Purna motor-able road at Umling La Pass ing and habitat loss. Rights Day will be observed on 1 in.…..at the height of 19,300 feet. are set to open on 24 August 2021. 5) Varanasi 3) Shehroze Kashif August. 1) Sikkim 2) Ladakh 3) Assam FIDE World Cup 2021 3. Rajiv Gandhi Khel Ratna award 4) Shivangi Pathak International Tiger Day G First woman appointed as 5) Muhammad Ali Sadpara 4) Manipur 5) Meghalaya Polish Grand Master Jan-Krzysztof renamed as..... Director of the Zoological Survey To spread awareness on tiger conser- won the FIDE Chess World Cup 2021 1) Sports Star Award 6. Elaine Thompson-Herah of which of India (ZSI) is Dhriti Banerjee. Answers vation, International Tiger Day is cele- by defeating Russia’s Sergey Karjakin. 2) Olympics Top Award nation won both woman’s 100 G Vaidehi Dongre was crowned as Meters and 200 Meters Gold in brated every year on July 29. It was a single-elimination tourna- 3) Major Dhyan Chand Khel Ratna 1-3 2-1 3-3 4-5 Miss India USA for the year 2021. Tokyo Olympics? This date is historic because on this ment that took place in Sochi, Russia Award 5-3 6-5 7-3 8-2 F F F F F F F F F F F F F F F F F F F F jø‹ö°uõª l àŸêŸª-ô¢vú£ òÅ¡ªáÙ -cae- Íô³ê¶ Î àŸêŸª-ô¢vú£ jø‹õuÙ =- a2 àŸ.-óŸ´.- l Dô¢+-àŸ-꟪-ô¢vú£ ð»è[÷±, è[-õªpõª ÷ô¢ª-ú£Þ¥ l, b × êÁå jø‹õuÙ ÓEo àŸë]ô¢í£± Oªåô¢ªx? Íô³ê¶ Î Dô¢+-àŸ-꟪-ô¢vú£ jø‹õuÙ =- l b àŸ.óŸ´. l ÷”êŸh î¦uþ§ô¢ÌÄÙ r Íô³ê¶ Î ÷”êŸh jø‹õuÙ 2. O 8 =- πr2 àŸ.-óŸ´. - -c e- ¸ÚÙvë]ÙÞ¥ Ñìo ·ôÙè[ª šúÙ.-Oª, ÷”ê¦hõ î¦uþ§-ô¦ÌÄõª 9 šúÙ.- 6 šúÙ.-Oª.- l d A B ÷”êŸh î¦uú£Ù Íô³ê¶ Î ÷”êŸh jø‹õuÙ ←  ← Oª.-, 12 šúÙ.-Oª.- Íô³ê¶ Î ð¼MúÃ, ÏêŸô¢ Íô³ê¶ 8 πd2 ª. šúÙ.-Oª.  ÷”ê¦hõ ÷ªëÅ]u Ñìo ÷”ê¦h- O í£åÙö˺ =- àŸ.-óŸ´.- →

4 šúÙ.-O

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ð¼æ© í£K¤Ûõ ví£ê¶uÚÛÙ 6 l Íô¢ÌÄ-÷”êŸh î¦uþ§ô¢ÌÄÙ r Íô³ê¶ Íô¢ÌÄ-÷”êŸh jø‹õuÙ ›ùè à¶ú‡ì vð§ÙêŸ îµjø‹õuÙ vð§ÙêŸ ← C πr2 ÓÙêŸ? sšúÙ.-Oª.2-õö˺z jø‹õuÙ D =-  àŸ.-óŸ´.- ÷«uëÇ]æ¨ÚÂq 2 1) 198 2) 179 3) 199 4) 209 ÓÙêŸ? 2- θ þ§ëÅ]ì:- r = 9 šúÙ.-Oª, R = 12 šúÙ.-Oª. sšúÙ.-Oª.- l šúÚ¥dô jø‹õuÙ =  × πr2 àŸ.-óŸ´.- sö˶ë¯z 4. í£åÙö˺ ABCD D C 360° ›ùè à¶ú‡ì vð§ÙêŸ îµjø‹õuÙ sö˶ë¯z ÷”ê¦h-Ú¥ô¢ ò°å õö˺z- ÖÚÛ àŸêŸª-ô¢vú£Ù.- 1) 34.57 2) 32.57 3) 28.57 4) 30.57 lr jø‹õuÙ - - - -  ë¯E òÅ¡ªáÙ 14 àŸ.-óŸ´. 2 2 ABCD 2 = π(R − r ) = π(R + r)(R − r) šúÙ.-Oª.- APB, þ§ëÅ]ì:- Dô¢+-àŸ-꟪-ô¢vú£Ù ÷”êŸhÙö˺ ÍÙêŸ-Jx-IÙ# P ÑÙC.- l vAòÅ¡ªá òÅ¡«Nª b, Ó꟪h h Íô³ê¶ Î vAòÅ¡ªá 22 CPDõª Íô¢ÌÄ =  (12 + 9)(12 − 9) ABCD Dô¢+-àŸ-꟪-ô¢vú£ ð»è[÷± (l) = 8 šúÙ.-Oª.- 1 7 ÷”ê¦hõª.- AB =  bh ← → ← → jø‹õuÙ - àŸ.-óŸ´.- 22 Íô³ê¶ ›ùè 7 O 7 è[õªp (b) = 6 šúÙ.-Oª.- 2 =  × 21 × 3 ⇒ 22 × 9 šúÙ.-Oª. šúÙ.-Oª.  l a, b, c 7 à¶ú‡ì vð§ÙêŸ √ 2 2 2 2 õª vAòÅ¡ªá òÅ¡ªâ°õª Íô³ê¶ Î vAòÅ¡ªá 2- ÚÛô¢gÙ (d) = BD = l + b πR πr 2 jø‹õuÙ ÓÙêŸ? sšúÙ.-Oª.- õö˺z-  = 198 šúÙ.-Oª .-  = lb + lb + 2 [] − 2[] jø‹õuÙ =- √S(S − a) (S − b) (S − c) àŸ.-óŸ´ ú£-÷«-ëůìÙ:- 1 1) 38 2) 42 3) 46 4) 48 = √82 + 62 2 2   22 l ú£÷ª-ò°ï£‚ vAòÅ¡ªá òÅ¡ªáÙ a Íô³ê¶ Î ú£÷ª-ò°ï£‚ þ§ëÅ]ì: ABCD àŸ-꟪-ô¢vú£Ù √ √ = 14 × 120 + 14 × 120 +  × 49 × 49  = 64 + 36 = 100 = 10 šúÙ.-Oª.- 7 √ 3 AB = r = 14 šúÙ.-Oª.- (BD) = (BD) =  a2 ô¢àŸô³êŸ ÷”êŸh-î¦uú£Ù Dô¢+-àŸ-꟪-ô¢vú£ ÚÛô¢gÙ 22 vAòÅ¡ªá jø‹õuÙ - 4 àŸ.-óŸ´.- (APB CPD) = 14 −  × 35 × 35 úˆšï°àÂ. ô¦ëůÚÛ”ù£g Íô¢ÌÄ-÷”êŸh öË¶ë¯ î¦uú£Ù - šúÙ.-Oª.- =- 10 šúÙ.-Oª.- 7 (APB CPD) (r) Íô¢ÌÄ-÷”êŸh öË¶ë¯ î¦uþ§ô¢ÌÄÙ BD 10 − Nù£óŸª Eí£±éªõª (r) =  =  = 5 = 1680 + 1680 + 7546 3850 14 ÷”êŸh î¦uþ§ô¢ÌÄÙ 2 2 šúÙ.-Oª.- ÷«-CJ ú£÷ª-ú£uõª =  = 7 šúÙ.-Oª. = 10906 − 3850 2- 3. í£åÙö˺ -cOe- ← ›ùè à¶ú‡ì vð§ÙêŸ îµjø‹õuÙ 2 ª. o  = 7056 Oª.- 1. OACB 7 O í£åÙö˺ ›ùè à¶ú‡ì vð§ÙêŸ îµjø‹õuÙ = − - í£åÙö˺ šúÙ.-Oª.- î¦uþ§-ô¢ÌÄÙÞ¥, ÷”êŸh- ¸ÚÙvë]ÙÞ¥ ·ôÙè[ª 14 - ÷”êŸh-j-ø‹õuÙ - Dô¢+-àŸ-꟪-ô¢vú£ jø‹õuÙ šúÙ.-O ú£-÷«-ëůìÙ:- 2 šúÙ.-O = ABCD − π 2 − π 2 − × ¸ÚÙ-vë]ÙÞ¥ Ñìo ÷”êŸhÙö˺ B ÔÚÛ-¸ÚÙvë] ÷”ê¦hõª 7 C 45° D - àŸ-꟪-ô¢vú£ jø‹õuÙ = r lb = (5) 8 6 C 7. í£åÙö˺ ÖÚÛ àŸêŸª-ô¢-vþ§Ú¥ô¢ ú£–õÙ ð»è[÷± 25 Oª.- Î 1 Ñû¦oô³.- î¦æ¨ ª. (APB Í-ô¢ÌÄ-÷”êŸh jø‹õuÙ + CPD Í-ô¢ÌÄ-÷”êŸh jø‹õuÙz 22 550  D → 20 15 - ÷ òÅ°Þ¥Eo ú£«#-ú£ªhÙC.- ª. =  × 25 − 48 =  − 48 ú£–õÙ ö˺í£õ Oª.- ð»è[÷±, Oª.- è[-õªpêÁ 4 î¦uþ§-ô¦ÌÄõª ÷ô¢ª- πr2 πr2 7 7 2 Dô¢+-àŸ-꟪-ô¢-vþ§-Ú¥-ô¢Ùö˺ ÖÚÛ ÏÙæ¨E EJtÙ-à¦ô¢ª.- ë¯E šúÙ.O −   ú£Þ¥ 7 šúÙ.-Oª, = r + − 2

OD = 4 4 - šúÙ.-Oª.- Íô³ê¶ A B [ 2 2 ] = 78.57 48 = 30.57 šúÙ.-Oª. àŸªå«d A O 14 šúÙ.-Oª.- Î í£åÙö˺ ›ùè à¶ú‡ì vð§ÙêŸ 7 šúÙ.-Oª. 22 ú£-÷«-ëůìÙ:- 4 ñóŸªå ÷”ê¦hõ à¦ð§õª = r2 − πr2 = 142 −  × 7 × 7 jø‹õuÙ ÓÙêŸ? sàŸ.-šúÙ.-Oª.-õö˺z 7 6. í£åÙö˺ 14 Oª.- è[õªp, 120 Oª.- ð»è[÷± Ñìo êÁåìª ÷ô¢ª-ú£Þ¥ CD, AB. AOB = 45° Í-ô³ê¶ í£åÙö˺ 1) 21.5 2) 22.5 3) 23.5 4) 24.5 − 2 ª.

- - - - = 196 154 = 42 → 2 šúÙ.-Oª.- ÖÚÛ ÍëǵxæÀ væ°Ú ¸ô&óŸª ÷«ô¦_-EÚ¨ #÷-ôÁx ·ôÙè[ª šíÙà¦ô¢ª.- O OACB 7 O ›ùè à¶ú‡ì vð§ÙêŸ îµjø‹õuÙ ÓÙêŸ? sšúÙ.-Oª. → þ§ëÅ]ì: Í-û¶C šúÙ.-Oª.- î¦uþ§-ô¢ÌÄÙÞ¥, õö˺z ú£Ù¤¨í£h í£ë]ÌÄA: Íô¢ÌÄ-÷”-ê¦hõª Ñû¦oô³.- Íô¢ÌÄ-÷”-ê¦hõ ÍÙêŸô¢ î¦uþ§ô¢ÌÄÙ Íô³ê¶ 15 1 35 Oª.- í£åÙö˺ ¸ÚÙvë]ÙÞ¥ Ñìo ÖÚÛ ÷”êŸhÙö˺ -÷ òÅ°Þ¥Eo 1) 61.-33 2) 42.-33 3) 46.-33 4) 57.-75 A D 4 Íô³ê¶ ›ùè à¶ú‡ì → → þ§ëÅ]ì:- í£åÙö˺ ›ùè à¶ú‡ì vð§ÙêŸ îµjø‹-öuÙ 20 Oª. ú£«#-ú£ªhÙC.- ÍÙç˶ OACB Íû¶C šúÚ¥dôÂ. í£åÙö˺ → ← B C vð§ÙêŸ = OAB − OCD sö˶ë¯z - šú-Ú¥dô jø‹õuÙ šú-Ú¥dô jø‹õuÙ ›ùè à¶ú‡ì jø‹õuÙ →  → OACB šú-Ú¥dô î¦uþ§ô¢ÌÄÙ (r) =- 7 šúÙ.-Oª.- 25 Oª. θ θ vð§ÙêŸÙ O' sö˶ë¯z êÁå 1 360-° =  πR2 −  πr2 O (θ) = 360°  =  = 90° 360° 360° jø‹õuÙ ÓÙêŸ? sàŸ.-Oª.-õö˺z ÚÁéÙ - - ö˺ 4 - ÷ òŰޜ٠4 - - sÍëǵxæÀ E H θ væ°ÚÂz 1) 275 2) 300 4) 325 4) 350 θ  π 2 − 2  × π 2 = (R r ) OACB šú-Ú¥dô jø‹õuÙ =- - r 360° jø‹õuÙ ← → (r) = 25 360° FG120 Oª. þ§ëÅ]ì:- àŸêŸª-ô¢-vþ§-Ú¥ô¢ ú£–õÙ ð»è[÷± Oª.- - θ sö˶ë¯z àŸêŸª-ô¢-vú£Ùö˺ ÷”êŸhÙ ÍÙêŸ-Jx-IÙ# ÑÙç˶, ÓÙêŸ? 90° 22 77 =  π(R + r)(R − r) sOª.-2-õö˺z ú£–õÙ ö˺í£õ Dô¢+-àŸ-꟪-ô¢-vþ§-Ú¥-ô¢Ùö˺ ÏÙæ¨E EJtÙ-à¦ô¢ª.- =  ×  × 7 × 7 =  = 38.5 àŸ.-šúÙ.-Oª. 360° šíj í£æ°ö˺x ›ùè à¶ú‡ì vð§ÙêŸ îµjø‹-ö°uõª =- 360-° 7 2 1) 6856 2) 7056 3) 7256 4) 7456 Ð ÏÙæ¨ ð»è[÷± (l) = 20 Oª.- 45° 22 6 ∆AOD ö˺ O = 90°, ∆AOD j-ø‹õuÙ =  ×  × (14 + 7)(14 − 7) - r2sÏÚÛ\è[ r = 7 šúÙ.-Oª.z þ§ëÅ]ì:- OB = O'C = 35 Oª.- è[õªp (b) = 15 Oª.- 360° 7 7 1 - AB = CD = 14 Oª.; ›ùè à¶ú‡ì vð§ÙêŸ îµjø‹õuÙ sêÁå jø‹õuÙz =  × AO × OD 45 22 6 = − 2 =  ×  × 21 × 7 =- - × 7 × 7 OA = O'D = 35 + 14 = 49 Oª. - - àŸêŸª-ô¢vú£ jø‹õuÙ - ÏÙæ¨ ú£–õ٠jø‹õuÙ 1 360 7 7 2 − =  × 7 × 4 = 14 šúÙ.-Oª.- ›ùèÂ-à¶-ú‡ì vð§ÙêŸ îµjø‹õuÙ = r lb 2 1 22 2 = - × - × 21 × 7 = 42 šúÙ.-Oª.- = ABCD + EFGH = 252 − 20 × 15 8 7 - Dô¢+-àŸ-꟪-ô¢vú£ jø‹õuÙ - Dô¢+àŸêŸª- ›ùè à¶ú‡ì vð§ÙêŸ îµjø‹õuÙ ú£-÷«-ëůìÙ:- 2 ô¢vú£ jø‹õuÙ +- 2 s49 Oª.- î¦uþ§-ô¢ÌÄÙêÁ Íô¢ÌÄ-÷”êŸh = 625 − 300 =- OACB šúÚ¥dô jø‹õuÙ −- ∆OAD jø‹õuÙ 231 5. ABCD − = - = 57.-75 šúÙ.-Oª.2 ÖÚÛ ÷”êŸhÙö˺ Dô¢+-àŸ-꟪ô¢ªvú£Ù ÍÙêŸ-Jx-IÙ# jø‹õuÙz -2 s35 Oª.- î¦uþ§-ô¢ÌÄÙêÁ Íô¢ÌÄ-÷”êŸh = 325 àŸ.-Oª.-õö˺ = 38.5 − 14 = 24.5 àŸ.-šúÙ.-Oª.- ú£-÷«-ëůìÙ:- 4 4 ú£-÷«-ëůìÙ:- 4 ÑÙC.- Î Dô¢+àŸêŸª-ô¢vú£ ð»è[÷±, è[-õªpõª ÷ô¢ª-ú£Þ¥ jø‹õuÙz ú£-÷«-ëůìÙ:- 3

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