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šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE î¶æ¨E ÍÙæ°ô¢ª?

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GH Oxygen Express Indian Railway launched the ‘Oxygen Express’ in response to its fight against Covid-19. On 22 April 2021, the first Oxygen Express carrying 100 tonnes of Liquid Medical Oxygen (LMO) tankers started from Visakhapatnam of Andhra Pradesh to Maharashtra. The tankers were transported through Ro-Ro service of Indian Railways. The LMO supplied by Rashtriya Ispat Nigam Ltd (RINL) plant in Visakhapatnam. The Indian Railways and Indian Air Force( IAF) have been deployed to reduce the travel time of oxygen tankers and assured states of the Central government’s full support in the fight against the pandemic. SVAMITVA On 24 April 2021 Prime Minister Narendra Modi launched the distribu- tion of e-property cards under the SVAMITVA scheme on the National Panchayati Raj Day virtually. SVAMITVA stands for Survey of Villages and Mapping with Improvised Technology in Village Areas. Under the scheme, the entire village properties are surveyed by drone and property cards are distributed to the owners. On this eve, 4.09 lakh people were given such e- property cards in more than 5,000 villages. The scheme infused a new confidence in the villages as property documents remove uncer- tainty and reduce the chances of prop- erty disputes while protecting the poor from exploitation and corruption. The scheme will cover around 6.62 Lakh villages of the entire country dur- ing 2021-2025. The pilot phase of the scheme was implemented during 2020-21 in the States of Maharashtra, Karnataka, Haryana, Uttar Pradesh, Uttarakhand, Madhya Pradesh and select villages of Punjab and Rajasthan. ‘Samudra Setu-II’ On 30 April 2021, the Indian Navy launched operation ‘Samudra Setu-IIto bring oxygen-filled cryogenic con- tainers to India from abroad. The Mission deployed warships that will undertake shipment of liquid oxy- gen filled cryogenic containers and associated medical equipment in sup- port of nation's fight against Covid-19. Indian Naval ships including Kolkata, Kochi, Talwar, Tabar, Trikand, Jalashwa and Airavat have been deployed to participate in the mission. Operation Samudra Setu-I was launched last year by the Navy to bring back the Indian citizens stranded in neighbouring countries, amidst COVID 19 outbreak. SUPACE On 6 April 2021, the Supreme Court unveiled its Artificial Intelligence (AI) portal SUPACE, designed to make research easier for judges, thereby easing their workload. It is a tool that collects relevant facts and laws and makes them available to a judge. 1. Nikol Pashinyan was resigned as the Prime Minister of…….. 1) Ujbekistan 2) Azerbaijan 3) Romania 4) Armenia 5) Kazakhstan 2. Claude Joseph was appointed as the new Prime Minister of ...... 1) Georgia 2) Fiji 3) Haiti 4) Gambia 5) Austria 3. Who became first Indian woman climber to scale Mt Annapurna, the 10th highest peak in the world? 1) Arunima Sinha 2) Malavath Purna 3) Priyanka Mohite 4) Santosh Yadav 5) Dicky Dolma 4. World Malaria Day is observed on ...... The 2021 theme is “Reaching the Zero Malaria target" 1) 20th April 2) 22nd April 3) 25th April 4) 1st May 5) 4th May 5. The RT-PCR test is a laboratory test that can identify the virus that causes COVID-19. In this context, RT-PCR stands for ...... 1) Real Transcription- Polymerase Chain Reaction 2) Reverse Transport- Polymerase Chain Reaction 3) Reverse Transcription- Polymerase Count Reaction 4) Roll Transcription- Polymerase Chain Reaction 5) Reverse Transcription- Polymerase Chain Reaction 6. First Indian and Asian woman con- ferred with the ‘WILD Innovator Award' is ...... 1) Dr Krithi K Karanth 2) Dr Mayuri Yeole 3) Dr Kavitha Amirneni 4) Dr Navneet Kaur 5) Dr Rama Narasimhan 7. Which Marathi film won the best for- eign language feature at the Moscow International Film Festival 2021? 1) Dhurala 2) Vijeta 3) Puglya 4) Kesari 5) Tattad 8. 2022 AFC Women's Asian Cup foot- ball to be hosted by ...... 1) China 2) India 3) Indonesia 4) Japan 5) Iran 9. The book “How to Avoid a Climate Disaster: The Solutions We Have and the Breakthroughs We Need” written by ...... 1) James Hansen 2) Elon Musk 3) S K Sateesh 4) Amitav Ghosh 5) Bill Gates ñªëÅ]î¦ô¢Ù  5, 2021 n e-mail:[email protected] 17 National Oscar best picture award conferred on..? Writer Amara Veeraswamy Subject Expert General Awareness Chandler Good Government Index (CGGI) India has been ranked 49th in the Chandler Good Government Index (CGGI) 2021 among 104 countries in terms of government capabilities and outcomes. The Chandler Institute of Governance, having base in Singapore released the Chandler Good Government Index (CGGI) on 26 April 2021. The index was topped by Finland. The second and third positions are marked by Switzerland and Singapore respectively. The index ranking was calculated by considering 7 pillars. They are Leadership and foresight, Strong insti- tutions, Robust laws and policies, Attractive market place, Financial stewardship, helping people rise and Global influence and Reputation. India Russia 2+2 On 26 April 2021, India and Russia agreed to establish a "2+2 ministerial dialogue" between foreign and defence ministers to add further momentum to the bilateral strategic partnership. PM Modi and Russian president Putin noted the ongoing cooperation between the two countries to fight the global pandemic. The approval for emergency use of Sputnik-V vaccine in India was appreciated by President Putin. Russia now became part of a small group of countries with whom India has 2+2 dialogue of foreign and defence ministers. India has such mechanism with the USA, Japan and Australia. SCRI On 27 April 2021, India, Japan and Australia launched the Supply Chain Resilience Initiative (SCRI) to build resilient supply chains in the Indo- Pacific region. In a move to counter China’s domi- nance of supply chain in the Indo- Pacific region, the trade ministers of India, Japan and Australia launched SCRI in a virtual trilateral ministerial meeting. India’s trade minister Piyush Goyal participated the meeting. Varuna 2021 The 19th edition of the Indian and French Navy bilateral exercise ‘VARUNA-2021’ was conducted in the Arabian Sea from 25th to 27th April 2021. The three-day exercise had seen high tempo-naval operations at sea, including advanced air defence and anti-submarine exercises, intense fixed and rotary wing flying operations, tactical manoeuvres, surface and anti- air weapon firings, underway replen- ishment and other maritime security operations. Trends in Military Expenditure 2020 The Stockholm International Peace Research Institute (SIPRI) released the report titled ‘Trends in World Military Expenditure 2020’ on 26 April 2021. As per the report, India was the third biggest military spender in the world in 2020. The list was topped by the USA and China. India’s total expendi- ture on the military for 2020 was $ 72.9 billion. The report also observed that despite the Covid-19 pandemic, the military spending across the world rose to $1,981 billion in 2020, registering an increase of 2.6 percent as compared with figures for 2019. National Panchayati Raj Day National Panchayati Raj Day observed on 24 April. The annual cel- ebration is done to commemorate the day on which the 73rd Constitutional Amendment was passed in 1992. The act came into effect on April 24, 1993. Dr. Manmohan Singh, the former Prime Minister of India declared the first National Panchayati Raj Day on 24 April in the year 2010. Oscar Awards On 25 April 2021, the 93rd edition of Oscars Awards took place in Union station and Dolby Theatre in Los Angeles, California, U.S.A. The best Picture award conferred on Nomadland and the Best Director Award conferred on Chloe Zhao (Nomadland) Best Actor award declared to Anthony Hopkins (The Father). Best Actress award conferred on Frances McDormand (Nomadland). Daniel Kaluuya was conferred with Best supporting Actor award (Judas and the Black Messiah) and Yuh-jung Youn got best supporting Actress award (Minari). Emerald Fennell was conferred with Best Original Screen play award (Promising Young Woman). Best Documentary Feature award declared to ‘My Octopus Teacher’. The Award ‘Animated Film” con- ferred to “Soul” and Best International Feature Film conferred on “Another Round”, the Danish Film. Best Music (Original Score) award had given to “Soul” and Best Music (Original Song) award conferred on “Fight For You”. International Model Questions Others For more Information see today’s Telangana Edition Key 1-4 2-3 3-3 4-3 5-5 6-1 7-3 8-2 9-5 1. Ú¨ÙC-î¦-æ¨ö˺ í£J-í£²ô¢g ÷ô¢_ú£ÙÜu Ú¥EC ÔC? 1) 144 2) 169 3) 324 4) 0.25 þ§ëÅ]ì: 144 =- 12 2 , 12 ú£ï£°á ú£ÙÜu Ú¥ñæ¨d 144 í£J-í£²ô¢g ÷ô¢_ ú£ÙÜu Í÷±-꟪ÙC.- 169 =- 13 2 , 13 ú£ï£°á ú£ÙÜu Ú¥ñæ¨d 169 í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu Í÷±-꟪ÙC.- 324 =- 18 2 , 18 ú£ï£°á ú£ÙÜu Ú¥ñæ¨d 324 í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu Í÷±-꟪ÙC 0.25 =- 0.5 2 , 0.5 ú£ï£°á ú£ÙÜu Ú¥ë]ª. Ú¥ñæ¨d 0.25 í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu Ú¥ë]ª.- ú£-÷«-ëůìÙ:- 4 2. îµ³ë]æ¨ 25 ò˶ú‡ ú£ÙÜuõ îµ³êŸhÙ ÓÙêŸ? 1) 576 2) 625 3) 676 4) 500 þ§ëÅ]ì: 1+3+5+7+ ..... (n ú£Ù-Üuõª)=n 2 1+3+5+7+ ..... (25 ú£ÙÜuõªz =- 25 2 =- 25 × 25 =- 625 ú£÷«-ëůìÙ:- 2 Þœ÷ª-EÚÛ: ÖÚÛ ÍÙ·Ú ú£ÙÜuö˺x ÍA-#ìo í£J-í£²ô¢g ÷ô¢_ ú£ÙÜu =- 1 (1 2 ) ·ôÙè[Ù-·Úõ ú£ÙÜuö˺x ÍA-#ìo í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 16 (4 2 ) ÷´è[Ù-·Úõ ú£ÙÜuö˺x ÍA-#ìo í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 100 (10 2 ) û¦õªÞœÙ·Úõ ú£ÙÜuö˺x ÍA-#ìo í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 1024 (32 2 ) Íô³-ë]Ù-·Úõ ú£ÙÜuö˺x ÍA-#ìo í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 10,000 (100- 2 ) ÖÚÛ ÍÙ·Ú ú£ÙÜuö˺x ÍA-šíë]Ì í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 9 (3 2 ) ·ôÙè[Ù-·Úõ ú£ÙÜuö˺x ÍA-šíë]Ì í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 81 (9 2 ) ÷´è[Ù-·Úõ ú£ÙÜuö˺x ÍA-šíë]Ì í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 961 (31 2 ) û¦õª-ÞœÙ-·Úõ ú£ÙÜuö˺x ÍA-šíë]Ì í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 9801 (99- 2 ) Íô³-ë]Ù-·Úõ ú£ÙÜuö˺x ÍA-šíë]Ì í£J-í£²ô¢g ÷ô¢_ ú£ÙÜu =- 99856 (316 2 ) 3. 12 2 , 13 2 ÷ªëÅ]u Ñìo í£²ô¦gÙ-Ú¥õ ú£ÙÜu? 1) 24 2) 25 3) 26 4) 27 þ§ëÅ]ì: n 2 , (n + 1) 2 (n ÖÚÛ ú£ï£°á ú£ÙÜu) ÷ªëÅ]u Ñìo í£²ô¦gÙ-Ú¥õ ú£ÙÜu =- 2n 12 2 , 13 2 ÷ªëÅ]u- Ñìo í£²ô¦gÙ-Ú¥õ ú£ÙÜu =- 2 × 12 =- 24 ú£-÷«-ëůìÙ:- 1 4. 9 2 + 40 2 = x 2 Íô³ê¶ x Nõª÷ ÓÙêŸ? 1) 51 2) 49 3) 41 4) 59 þ§-ëÅ]ì: 9 2 + 40 2 = x 2 81 + 1600 = x 2 1681 = x 2 x = 1681 = 41 2 = 41 x = 41 ú£-÷«-ëůìÙ:- 3 Þœ-÷ª-EÚÛ: a 2 + b 2 = c 2 (a, b, cõª ú£ï£°á ú£ÙÜuõªz Íô³ê¶ (a, b, c)E šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍÙæ°ô¢ª.- Ñë¯: (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) îµ³ë]-ö˵j-ìN.- 5. 2275 + 841 = ? 1) 46 2) 48 3) 47 4) 52 þ§-ëÅ]ì: 2275 + 841 = 2275 + 29 ( . . . 841 = 29) = 2304 = 48 2 = 48 ú£-÷«-ëůìÙ:- 2 6. 10 + 25 + 108 + 154 + 225 = ? 1) 4 2) 6 3) 8 4) 9 þ§-ëÅ]ì: 10 + 25 + 108 + 154 + 225 = 10 + 25 + 108 + 154 + 15 = 10 + 25 + 108 + 169 = 10 + 25 + 108 + 13 = 10 + 25 + 121 = 10 + 25 + 11 = 10 + 36 = 10 + 6 = 16 = 4 ú£-÷«-ëůìÙ:- 1 7. ÷´è[ª ÷ô¢ªú£ í£²ô¦gÙ-Ú¥õ ÷ô¦_õ îµ³êŸhÙ 434 Íô³ê¶ Î ú£ÙÜuõ îµ³êŸhÙ ÓÙêŸ? 1) 45 2) 42 3) 39 4) 36 þ§-ëÅ]ì: ÷´è[ª ÷ô¢ªú£ í£²ô¦gÙ-Ú¥õª = x, x + 1, x +2 Íìª-ÚÁÙè….- x 2 + (x + 1) 2 + (x + 2) 2 = 434 x 2 +x 2 + 2x +1+x 2 + 4x + 4 = 434 3x 2 + 6x + 5 = 434 3x 2 +6x+5 - 434 = 0 3x 2 + 6x - 429 = 0 x 2 + 2x -143 = 0 x 2 + 13x - 11x - 143 = 0 x(x + 13) - 11(x + 13) = 0 (x + 13) (x - 11) = 0 x+13=0 öË¶ë¯ x - 11 = 0 x= -13 öË¶ë¯ x = 11 x = 11 (x = -13 í£²ô¢g ú£ÙÜu Ú¥ë]ªz x = 11 x+1=11+1=12 x+2=11+2=13 ÷-ô¢ªú£ í£²ô¦gÙ-Ú¥õ îµ³êŸhÙ = x + (x + 1z(x + 2) = 11 + 12 + 13 = 36 ú£-÷«-ëůìÙ:- 4 8. x = 0. 3 Íô³ê¶ 2x 2 = 1) 0. 1 2) 0. 2 3) 0. 6 4) 0. 9 þ§-ëÅ]ì: x = 0. 3 3 - 0 3 1 = = = 9 9 3 1 2 1 x 2 = ( ) = 3 9 1 2 2x 2 =2 × = = 0.2222... 9 9 = 0. 2 ú£-÷«-ëůìÙ:- 2 9. ÖÚÛ Dô¢+-àŸ-꟪-ô¢-vþ§-Ú¥ô¢ ð»õÙ ð»è[÷±, è[-õªp-ìÚÛª 1 1 - ·ôåªx ÑÙC.- Î ð»õ٠jø‹õuÙ 1.- 4406 2 šï°Ú¥dô¢ªx Íô³ê¶ Î ð»õÙ ð»è[÷± ÓÙêŸ? sOªå-ô¢xö˺z 1) 167 2) 127 3) 147 4) 137 þ§-ëÅ]ì: ÖÚÛ Dô¢+-àŸ-꟪-ô¢-vþ§-Ú¥ô¢ ð»õ٠è[õªp (b) = x Íìª-ÚÁÙè… 1 3 ð»è[÷± (l) = 1 b= b 2 2 3 = x 2 D-ô¢+-àŸ-꟪-ô¢-vþ§-Ú¥ô¢ ð»õ٠jø‹õuÙ =- l × b 3 3 = x × x = x 2 2 2 3 ë]-ê¦hÙøŒÙ ví£Ú¥ô¢Ù x 2 = 1.4406 šï°Ú¥dô¢ªx 2 3 x 2 = 1.4406 × 10000 àŸ.-Oª.- 2 = 14406 àŸ.-Oª.- 2 x 2 = 14406 × àŸ.-Oª.- 3 =- 9604 àŸ.-Oª.- x= 9604 Oª. = 98 Oª.- 3 3 ð»õÙ ð»è[÷± (l) = x = × 98 = 147 Oª. 2 2 ú£-÷«-ëůìÙ:- 3 10. 1225 + 0.0615 +- x = 35.25 Íô³ê¶ x Nõª÷ ÓÙêŸ? 1) 0.1 2) 0.01 3) 0.001 4) 0.0001 þ§-ëÅ]ì: 1225 + 0.0615 + x = 35.25 35 + 0.0615 + x = 35.25 0.0615 + x = 35.25 - 35 0.0615 + x = 0.25 0.0615 + x = (0.25) 2 0.0615 + x = 0.0625 x = 0.0625 - 0.0615 x = 0.0010 x = 0.001 ú£-÷«-ëůìÙ:- 3 11. îµ³ë]æ¨ 10 ú£ï£°á ú£ÙÜuõ ÷ô¦_õ îµ³êŸhÙ ÓÙêŸ? 1) 325 2) 345 3) 365 4) 385 þ§-ëÅ]ì: 1 2 +2 2 +- 3 2 ...... -+n 2 n(n + 1)(2n + 1) = 6 1 2 + 2 2 + 3 2 + ...... + 10 2 10(10 + 1)(2 × 10 + 1) =- 6 10 × 11 × 21 = = 385 6 ú£-÷«-ëůìÙ:- 4 Þœ-÷ª-EÚÛ:- n 2 (n + 1) 2 1 3 +2 3 +- 3 3 + ...... +- n 3 = 4 (or) n 2 (n + 1) 2 n 3 = 4 (or) îµ³-ë]æ¨ n ú£ï£°á ú£ÙÜuõ íÆ£ªû¦õ îµ³êŸhÙ n 2 (n + 1) 2 = 4 n(n + 1) 2 = [ ] 2 = (n) 2 12. îµ³ë]æ¨ 4 ú£ï£°á ú£ÙÜuõ íÆ£ªû¦õ îµ³êŸhÙ ÓÙêŸ? 1) 64 2) 100 3) 81 4) 144 þ§-ëÅ]ì:- 1 3 + 2 3 + 3 3 + 4 3 = (1 + 2 +3+4) 2 = 10 2 = 100 ú£-÷«-ëůìÙ:- 2 ô¢àŸô³êŸ úˆšï°àÂ. ô¦ëůÚÛ”ù£g Nù£óŸª Eí£±éªõª ÷«uëÇ]æ¨ÚÂq ð¼æ© í£K¤Ûõ ví£ê¶uÚÛÙ ÷«-CJ ú£÷ª-ú£uõª ú£ÙÝ°u ÷u÷ú£– ÷³Ý°uÙø‹õª F x 2 =- y Í-ô³ê¶ y = x Í-÷±-꟪ÙC.- ÍÙç˶ x ÷ô¢_Ù y Í-ô³ê¶ y ÷ô¢_-÷´õÙ x Í-÷±-꟪ÙC.- F n Í-û¶C ÖÚÛ ú£ï£°á ú£ÙÜu Íô³ê¶ n 2 í£J-í£²ô¢g ÷ô¢_ú£ÙÜu sÚÛ#aêŸ ÷ô¢_-ú£ÙÜuz Í÷±-꟪ÙC.- í£J-í£²ô¢g ÷ô¢_ú£ÙÜu-õÚÛª Ñë¯--ô¢é:- 1, 4, 9, 16, 25, 36, 49... Þœ÷ª-EÚÛ: 1.4 2 = 1.96, 14 2 = 196 õö˺ 1.96 í£-J-í£²ô¢g ÷ô¢_ú£ÙÜu Ú¥ë]ª (Not a perfect square number). 196 í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu (Perfect square number). F îµ³-ë]æ¨ n ò˶ú‡ ú£ÙÜuõ îµ³êŸhÙ Óõx-í£±pè[« ÚÛ#aêŸ ÷ô¢_-ú£ÙÜu Í÷±-꟪ÙC.- 1+3+5+7+ ...... (n ú£Ù-Üuõªz =- n 2 n(n+1) (2n+1) F 1 2 + 2 2 + 3 2 + ...... + n 2 = 6 sö˶ë¯z n(n+1) (2n+1) n 2 = 6 sö˶ë¯z îµ³ë]æ¨ n ú£-á ú£ÙÜuõ ÷ô¦_õ îµ³êŸhÙ n(n+1) (2n+1) = 6 ÍòÅ°uú£ ví£øŒoõª ú£÷«ëůû¦õª 1-4 2-1 3-2 4-3 5-2 6-2 7-3 8-1 1 1 x 2 x 5 5 1 1 1. a= ,b = Íô³ê¶ + = ..... 3 4 a 2 b 2 1) 4 2) 3 3) 2 4) 1 2. Ú¨ÙC-î¦-æ¨E áêŸ-í£-ô¢-àŸÙè….- i) 6 2 + 8 2 = ? a) 625 ii) 8 2 + 15 2 = ? b) 169 iii) 7 2 + 24 2 = ? c) 100 iv) 5 2 + 12 2 = ? d) 289 1) i-c, ii-d, iii-a, iv-b 2) i-c, ii-b, iii-a, iv-d 3) i-c, ii-b, iii-a, iv-d 4) i-d, ii-c, iii-b, iv-a 3. 21 + 13 + 7+ 4=? 1) 25 2) 5 3) 9 4) 12 4. 41 2 , 42 2 ÷ªëÅ]u Ñìo í£²ô¦gÙ-Ú¥õª ÓEo? 1) 84 2) 86 3) 82 4) 88 5. x = 0. 2 Íô³ê¶ 3x 2 = 1) 1. 2 2) 1. 3 3) 1. 8 4) 1. 9 6. Ú¨ÙC-î¦-æ¨ö˺ šíjëǯ-Þœ-J-óŸªû vAÚÛÙ Ú¥EC ÔC? 1) (3, 4, 5) 2) (10, 12, 13) 3) (10, 24, 26) 4) (9, 12, 15) 7. ÷´è[ª ÷ô¢ªú£ í£²ô¦gÙ-Ú¥õ îµ³êŸhÙ 110. Íô³ê¶ Î ú£ÙÜuõ îµ³êŸhÙ ÓÙêŸ? 1) 15 2) 21 3) 18 4) 24 8. û¦õªÞœª ÍÙ·Úõ ÍA šíë]Ì í£J-í£²ô¢g ÷ô¢_-ú£ÙÜuÚÛª, ÷´è[Ù-·Úõ ÍA šíë]Ì í£J-í£²ô¢g ÷ô¢_-ú£Ù-ÜuÚÛª ÷ªëÅ]u òÅ˶ë]-ÙêŸ? 1) 8840 2) 8904 3) 8841 4) 8740 Dr Krithi K Karanth F F F F F F F F F F F F F F F F F F F F šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE æ¨E ÍÙæ°ô¢ª? šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE æ¨E ÍÙæ°ô¢ª? šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE æ¨E ÍÙæ°ô¢ª? šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE æ¨E ÍÙæ°ô¢ª? šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE æ¨E ÍÙæ°ô¢ª? šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE æ¨E ÍÙæ°ô¢ª? šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE æ¨E ÍÙæ°ô¢ª? šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE æ¨E ÍÙæ°ô¢ª? šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE æ¨E ÍÙæ°ô¢ª? šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE æ¨E ÍÙæ°ô¢ª? šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE æ¨E ÍÙæ°ô¢ª?
Transcript

GH

Oxygen Express

Indian Railway launched the ‘Oxygen

Express’ in response to its fight against

Covid-19. On 22 April 2021, the first

Oxygen Express carrying 100 tonnes of

Liquid Medical Oxygen (LMO) tankers

started from Visakhapatnam of Andhra

Pradesh to Maharashtra.

The tankers were transported

through Ro-Ro service of Indian

Railways.

The LMO supplied by Rashtriya Ispat

Nigam Ltd (RINL) plant in

Visakhapatnam.

The Indian Railways and Indian Air

Force( IAF) have been deployed to

reduce the travel time of oxygen

tankers and assured states of the

Central government’s full support in

the fight against the pandemic.

SVAMITVA

On 24 April 2021 Prime Minister

Narendra Modi launched the distribu-

tion of e-property cards under the

SVAMITVA scheme on the National

Panchayati Raj Day virtually.

SVAMITVA stands for Survey of

Villages and Mapping with Improvised

Technology in Village Areas.

Under the scheme, the entire village

properties are surveyed by drone and

property cards are distributed to the

owners.

On this eve, 4.09 lakh people were

given such e- property cards in more

than 5,000 villages. The scheme

infused a new confidence in the villages

as property documents remove uncer-

tainty and reduce the chances of prop-

erty disputes while protecting the poor

from exploitation and corruption.

The scheme will cover around 6.62

Lakh villages of the entire country dur-

ing 2021-2025.

The pilot phase of the scheme was

implemented during 2020-21 in the

States of Maharashtra, Karnataka,

Haryana, Uttar Pradesh, Uttarakhand,

Madhya Pradesh and select villages of

Punjab and Rajasthan.

‘Samudra Setu-II’

On 30 April 2021, the Indian Navy

launched operation ‘Samudra Setu-II’

to bring oxygen-filled cryogenic con-

tainers to India from abroad.

The Mission deployed warships that

will undertake shipment of liquid oxy-

gen filled cryogenic containers and

associated medical equipment in sup-

port of nation's fight against Covid-19.

Indian Naval ships including Kolkata,

Kochi, Talwar, Tabar, Trikand,

Jalashwa and Airavat have been

deployed to participate in the mission.

Operation Samudra Setu-I was

launched last year by the Navy to bring

back the Indian citizens stranded in

neighbouring countries, amidst COVID

19 outbreak.

SUPACE

On 6 April 2021, the Supreme Court

unveiled its Artificial Intelligence (AI)

portal SUPACE, designed to make

research easier for judges, thereby

easing their workload.

It is a tool that collects relevant facts

and laws and makes them available to

a judge.

1. Nikol Pashinyan was resigned as

the Prime Minister of……..

1) Ujbekistan 2) Azerbaijan

3) Romania 4) Armenia

5) Kazakhstan

2. Claude Joseph was appointed as

the new Prime Minister of ......

1) Georgia 2) Fiji 3) Haiti

4) Gambia 5) Austria

3. Who became first Indian woman

climber to scale Mt Annapurna, the

10th highest peak in the world?

1) Arunima Sinha

2) Malavath Purna

3) Priyanka Mohite

4) Santosh Yadav 5) Dicky Dolma

4. World Malaria Day is observed on

...... The 2021 theme is “Reaching

the Zero Malaria target"

1) 20th April 2) 22nd April

3) 25th April 4) 1st May

5) 4th May

5. The RT-PCR test is a laboratory

test that can identify the virus that

causes COVID-19. In this context,

RT-PCR stands for ......

1) Real Transcription- Polymerase

Chain Reaction

2) Reverse Transport- Polymerase

Chain Reaction

3) Reverse Transcription-

Polymerase Count Reaction

4) Roll Transcription- Polymerase

Chain Reaction

5) Reverse Transcription-

Polymerase Chain Reaction

6. First Indian and Asian woman con-

ferred with the ‘WILD Innovator

Award' is ......

1) Dr Krithi K Karanth

2) Dr Mayuri Yeole

3) Dr Kavitha Amirneni

4) Dr Navneet Kaur

5) Dr Rama Narasimhan

7. Which Marathi film won the best for-

eign language feature at the Moscow

International Film Festival 2021?

1) Dhurala 2) Vijeta 3) Puglya

4) Kesari 5) Tattad

8. 2022 AFC Women's Asian Cup foot-

ball to be hosted by ......

1) China 2) India 3) Indonesia

4) Japan 5) Iran

9. The book “How to Avoid a Climate

Disaster: The Solutions We Have

and the Breakthroughs We Need”

written by ......

1) James Hansen 2) Elon Musk

3) S K Sateesh

4) Amitav Ghosh 5) Bill Gates

ñªëÅ]î¦ô¢Ù  5, 2021 n e-mail:[email protected]

17

National

Oscar best picture

award conferred on..?

Writer

Amara Veeraswamy

Subject Expert

GeneralAwareness

Chandler Good Government

Index (CGGI)

India has been ranked 49th in the

Chandler Good Government Index

(CGGI) 2021 among 104 countries in

terms of government capabilities and

outcomes.

The Chandler Institute of

Governance, having base in Singapore

released the Chandler Good

Government Index (CGGI) on 26 April

2021.

The index was topped by Finland.

The second and third positions are

marked by Switzerland and Singapore

respectively.

The index ranking was calculated by

considering 7 pillars. They are

Leadership and foresight, Strong insti-

tutions, Robust laws and policies,

Attractive market place, Financial

stewardship, helping people rise and

Global influence and Reputation.

India Russia 2+2

On 26 April 2021, India and Russia

agreed to establish a "2+2 ministerial

dialogue" between foreign and defence

ministers to add further momentum to

the bilateral strategic partnership.

PM Modi and Russian president

Putin noted the ongoing cooperation

between the two countries to fight the

global pandemic. The approval for

emergency use of Sputnik-V vaccine in

India was appreciated by President

Putin.

Russia now became part of a small

group of countries with whom India has

2+2 dialogue of foreign and defence

ministers. India has such mechanism

with the USA, Japan and Australia.

SCRI

On 27 April 2021, India, Japan and

Australia launched the Supply Chain

Resilience Initiative (SCRI) to build

resilient supply chains in the Indo-

Pacific region.

In a move to counter China’s domi-

nance of supply chain in the Indo-

Pacific region, the trade ministers of

India, Japan and Australia launched

SCRI in a virtual trilateral ministerial

meeting.

India’s trade minister Piyush Goyal

participated the meeting.

Varuna 2021

The 19th edition of the Indian and

French Navy bilateral exercise

‘VARUNA-2021’ was conducted in the

Arabian Sea from 25th to 27th April

2021.

The three-day exercise had seen

high tempo-naval operations at sea,

including advanced air defence and

anti-submarine exercises, intense fixed

and rotary wing flying operations,

tactical manoeuvres, surface and anti-

air weapon firings, underway replen-

ishment and other maritime security

operations.

Trends in Military

Expenditure 2020

The Stockholm International Peace

Research Institute (SIPRI) released

the report titled ‘Trends in World

Military Expenditure 2020’ on 26 April

2021.

As per the report, India was the third

biggest military spender in the world in

2020. The list was topped by the

USA and China. India’s total expendi-

ture on the military for 2020 was $ 72.9

billion.

The report also observed that

despite the Covid-19 pandemic, the

military spending across the world rose

to $1,981 billion in 2020, registering an

increase of 2.6 percent as compared

with figures for 2019.

National Panchayati Raj Day

National Panchayati Raj Day

observed on 24 April. The annual cel-

ebration is done to commemorate the

day on which the 73rd Constitutional

Amendment was passed in 1992. The

act came into effect on April 24, 1993.

Dr. Manmohan Singh, the former

Prime Minister of India declared the

first National Panchayati Raj Day on

24 April in the year 2010.

Oscar Awards

On 25 April 2021, the 93rd edition of

Oscars Awards took place in Union

station and Dolby Theatre in Los

Angeles, California, U.S.A.

The best Picture award conferred

on Nomadland and the Best Director

Award conferred on Chloe Zhao

(Nomadland)

Best Actor award declared to

Anthony Hopkins (The Father). Best

Actress award conferred on Frances

McDormand (Nomadland).

Daniel Kaluuya was conferred with

Best supporting Actor award (Judas

and the Black Messiah) and Yuh-jung

Youn got best supporting Actress

award (Minari).

Emerald Fennell was conferred with

Best Original Screen play award

(Promising Young Woman).

Best Documentary Feature award

declared to ‘My Octopus Teacher’.

The Award ‘Animated Film” con-

ferred to “Soul” and Best International

Feature Film conferred on “Another

Round”, the Danish Film.

Best Music (Original Score) award

had given to “Soul” and Best Music

(Original Song) award conferred on

“Fight For You”.

International

Model Questions

Others

For more Information see

today’s Telangana Edition

Key

1-4 2-3 3-3 4-3 5-5

6-1 7-3 8-2 9-5

1. Ú¨ÙC-î¦-æ¨ö˺ í£J-í£²ô¢g ÷ô¢_ú£ÙÜu Ú¥EC ÔC?1) 144 2) 169 3) 324 4) 0.25

þ§ëÅ]ì: 144 =- 122, 12 ú£ï£°á ú£ÙÜu Ú¥ñæ¨d 144

í£J-í£²ô¢g ÷ô¢_ ú£ÙÜu Í÷±-꟪ÙC.-169 =- 132, 13 ú£ï£°á ú£ÙÜu Ú¥ñæ¨d 169

í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu Í÷±-꟪ÙC.-324 =- 182, 18 ú£ï£°á ú£ÙÜu Ú¥ñæ¨d 324

í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu Í÷±-꟪ÙC0.25 =- 0.52, 0.5 ú£ï£°á ú£ÙÜu Ú¥ë]ª. Ú¥ñæ¨d0.25 í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu Ú¥ë]ª.- ú£-÷«-ëůìÙ:- 4

2. îµ³ë]æ¨ 25 ò˶ú‡ ú£ÙÜuõ îµ³êŸhÙ ÓÙêŸ?1) 576 2) 625 3) 676 4) 500

þ§ëÅ]ì: 1 + 3 + 5 + 7 + ..... (n ú£Ù-Üuõª) = n2

1 + 3 + 5 + 7 + ..... (25 ú£ÙÜuõªz =- 252

=- 25 × 25 =- 625

ú£÷«-ëůìÙ:- 2Þœ÷ª-EÚÛ: ÖÚÛ ÍÙ·Ú ú£ÙÜuö˺x ÍA-#ìo í£J-í£²ô¢g

÷ô¢_ ú£ÙÜu =- 1 (12)

·ôÙè[Ù-·Úõ ú£ÙÜuö˺x ÍA-#ìo í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 16 (42)

÷´è[Ù-·Úõ ú£ÙÜuö˺x ÍA-#ìo í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 100 (102)

û¦õªÞœÙ·Úõ ú£ÙÜuö˺x ÍA-#ìo í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 1024 (322)

Íô³-ë]Ù-·Úõ ú£ÙÜuö˺x ÍA-#ìo í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 10,000 (100-2)

ÖÚÛ ÍÙ·Ú ú£ÙÜuö˺x ÍA-šíë]Ì í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 9 (32)

·ôÙè[Ù-·Úõ ú£ÙÜuö˺x ÍA-šíë]Ì í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 81 (92)

÷´è[Ù-·Úõ ú£ÙÜuö˺x ÍA-šíë]Ì í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 961 (312)

û¦õª-ÞœÙ-·Úõ ú£ÙÜuö˺x ÍA-šíë]Ì í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 9801 (99-2)

Íô³-ë]Ù-·Úõ ú£ÙÜuö˺x ÍA-šíë]Ì í£J-í£²ô¢g ÷ô¢_ ú£ÙÜu =- 99856 (3162)

3. 122, 132 ÷ªëÅ]u Ñìo í£²ô¦gÙ-Ú¥õ ú£ÙÜu?1) 24 2) 25 3) 26 4) 27

þ§ëÅ]ì: n2, (n + 1)2 (n ÖÚÛ ú£ï£°á ú£ÙÜu) ÷ªëÅ]u Ñìoí£²ô¦gÙ-Ú¥õ ú£ÙÜu =- 2n

122, 132 ÷ªëÅ]u- Ñìo í£²ô¦gÙ-Ú¥õ ú£ÙÜu =- 2 × 12 =- 24 ú£-÷«-ëůìÙ:- 1

4. 92 + 402 = x2 Íô³ê¶ x Nõª÷ ÓÙêŸ?1) 51 2) 49 3) 41 4) 59

þ§-ëÅ]ì: 92 + 402 = x2

⇒ 81 + 1600 = x2

⇒ 1681 = x2

⇒ x = √1681 ⇒ = √

412 = 41

∴ x = 41 ú£-÷«-ëůìÙ:- 3Þœ-÷ª-EÚÛ: a2 + b2 = c2 (a, b, cõª ú£ï£°á ú£ÙÜuõªzÍô³ê¶ (a, b, c)E šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍÙæ°ô¢ª.-Ñë¯: (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17)

îµ³ë]-ö˵j-ìN.-

5. 2275 + √841 = ?

1) 46 2) 48 3) 47 4) 52

þ§-ëÅ]ì: 2275 + √841 = 2275 + 29

(... √841 = 29)

= √2304 = √

482 = 48

ú£-÷«-ëůìÙ:- 2

6. 10 + 25 + 108 + 154 + √225 = ?

1) 4 2) 6 3) 8 4) 9

þ§-ëÅ]ì: 10 + 25 + 108 + 154 + √225

= 10 + 25 + 108 + 154 + 15

= 10 + 25 + 108 + 169

= 10 + 25 + 108 + 13

= 10 + 25 + 121 = 10 + 25 + 11

= 10 + 36 = √10 + 6

= √16 = 4 ú£-÷«-ëůìÙ:- 1

7. ÷´è[ª ÷ô¢ªú£ í£²ô¦gÙ-Ú¥õ ÷ô¦_õ îµ³êŸhÙ 434

Íô³ê¶ Î ú£ÙÜuõ îµ³êŸhÙ ÓÙêŸ? 1) 45 2) 42 3) 39 4) 36

þ§-ëÅ]ì: ÷´è[ª ÷ô¢ªú£ í£²ô¦gÙ-Ú¥õª =

x, x + 1, x + 2 Íìª-ÚÁÙè….-x2 + (x + 1)2 + (x + 2)2 = 434

⇒ x2 + x2 + 2x + 1 + x2 + 4x + 4 = 434

⇒ 3x2 + 6x + 5 = 434

⇒ 3x2 + 6x + 5 − 434 = 0

⇒ 3x2 + 6x − 429 = 0

⇒ x2 + 2x −143 = 0

⇒ x2 + 13x − 11x − 143 = 0

⇒ x(x + 13) − 11(x + 13) = 0

⇒ (x + 13) (x − 11) = 0

⇒ x + 13 = 0 öË¶ë¯ x − 11 = 0

⇒ x = −13 öË¶ë¯ x = 11

⇒ x = 11 (x = −13 í£²ô¢g ú£ÙÜu Ú¥ë]ªz∴ x = 11

x + 1 = 11 + 1 = 12

x + 2 = 11 + 2 = 13

÷-ô¢ªú£ í£²ô¦gÙ-Ú¥õ îµ³êŸhÙ = x + (x + 1z(x + 2)

= 11 + 12 + 13 = 36

ú£-÷«-ëůìÙ:- 48. x = 0.

3 Íô³ê¶ 2x2 =

1) 0.1 2) 0.

2 3) 0.

6 4) 0.

9

þ§-ëÅ]ì: x = 0.3

3 − 0 3 1= = =

9 9 3

1 2 1x2 = () =

3 9

1 22x2 = 2 × = = 0.2222...

9 9

= 0.2 ú£-÷«-ëůìÙ:- 2

9. ÖÚÛ Dô¢+-àŸ-꟪-ô¢-vþ§-Ú¥ô¢ ð»õÙ ð»è[÷±, î�µè[-õªp-ìÚÛª 1

1 - ·ôåªx ÑÙC.- Î ð»õÙ î�µjø‹õuÙ 1.-4406 2

šï°Ú¥dô¢ªx Íô³ê¶ Î ð»õÙ ð»è[÷± ÓÙêŸ? sOªå-ô¢xö˺z1) 167 2) 127 3) 147 4) 137

þ§-ëÅ]ì: ÖÚÛ Dô¢+-àŸ-꟪-ô¢-vþ§-Ú¥ô¢ ð»õÙî�µè[õªp (b) = x Íìª-ÚÁÙè…

1 3ð»è[÷± (l) = 1 b = b

2 2

3= x

2

D-ô¢+-àŸ-꟪-ô¢-vþ§-Ú¥ô¢ ð»õÙ î�µjø‹õuÙ =- l × b

3 3= x × x = x2

2 2

3ë]-ê¦hÙøŒÙ ví£Ú¥ô¢Ù x2 = 1.4406 šï°Ú¥dô¢ªx

2

3 x2 = 1.4406 × 10000 àŸ.-Oª.-2

= 14406 àŸ.-Oª.-2

⇒ x2 = 14406 × àŸ.-Oª.- 3

=- 9604 àŸ.-Oª.-⇒ x = √

9604 Oª. = 98 Oª.-

3 3ð»õÙ ð»è[÷± (l) = x = × 98 = 147 Oª.

2 2

ú£-÷«-ëůìÙ:- 3√

10. √

1225 + 0.0615 +- x = 35.25 Íô³ê¶ x

Nõª÷ ÓÙêŸ?1) 0.1 2) 0.01 3) 0.001 4) 0.0001

þ§-ëÅ]ì: √1225 + 0.0615 + x = 35.25

⇒ 35 + 0.0615 + x = 35.25

⇒ 0.0615 + x = 35.25 − 35

⇒ 0.0615 + x = 0.25

⇒ 0.0615 + x = (0.25)2

⇒ 0.0615 + x = 0.0625

⇒ x = 0.0625 − 0.0615 ⇒ x = 0.0010

∴ x = 0.001 ú£-÷«-ëůìÙ:- 311. îµ³ë]æ¨ 10 ú£ï£°á ú£ÙÜuõ ÷ô¦_õ îµ³êŸhÙ ÓÙêŸ?

1) 325 2) 345 3) 365 4) 385

þ§-ëÅ]ì: 12 + 22 +- 32 ...... -+ n2

n(n + 1)(2n + 1)=

6

12 + 22 + 32 + ...... + 102

10(10 + 1)(2 × 10 + 1)=-

6

10 × 11 × 21= = 385

6 ú£-÷«-ëůìÙ:- 4

Þœ-÷ª-EÚÛ:-n2(n + 1)2

13 + 23 +- 33 + ...... +- n3 = 4

(or)

n2(n + 1)2∑ n3 =

4

(or)

îµ³-ë]æ¨ n ú£ï£°á ú£ÙÜuõ íÆ£ªû¦õ îµ³êŸhÙ n2(n + 1)2

= 4

n(n + 1) 2= []

2

= (∑ n)2

12. îµ³ë]æ¨ 4 ú£ï£°á ú£ÙÜuõ íÆ£ªû¦õ îµ³êŸhÙ ÓÙêŸ?1) 64 2) 100 3) 81 4) 144

þ§-ëÅ]ì:- 13 + 23 + 33 + 43

= (1 + 2 + 3 + 4)2

= 102 = 100

ú£-÷«-ëůìÙ:- 2

ô¢àŸô³êŸúˆšï°àÂ. ô¦ëůÚÛ”ù£g Nù£óŸª Eí£±éªõª

÷«uëÇ]æ̈ÚÂq

ð¼æ© í£K¤Ûõví£ê¶uÚÛÙ

÷«-CJ ú£÷ª-ú£uõª

ú£ÙÝ°u ÷u÷ú£–÷³Ý°uÙø‹õª

F x2 =- y Í-ô³ê¶ √y = x Í-÷±-꟪ÙC.- ÍÙç˶

x ÷ô¢_Ù y Í-ô³ê¶ y ÷ô¢_-÷´õÙ x Í-÷±-꟪ÙC.-F n Í-û¶C ÖÚÛ ú£ï£°á ú£ÙÜu Íô³ê¶ n2 í£J-í£²ô¢g

÷ô¢_ú£ÙÜu sÚÛ#aêŸ ÷ô¢_-ú£ÙÜuz Í÷±-꟪ÙC.-í£J-í£²ô¢g ÷ô¢_ú£ÙÜu-õÚÛª Ñë¯--ô¢é:- 1, 4, 9, 16,

25, 36, 49...

Þœ÷ª-EÚÛ: 1.42 = 1.96, 142 = 196 õö˺1.96 í£-J-í£²ô¢g ÷ô¢_ú£ÙÜu Ú¥ë]ª (Not a perfect

square number).

196 í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu (Perfect square

number).

F îµ³-ë]æ¨ n ò˶ú‡ ú£ÙÜuõ îµ³êŸhÙ Óõx-í£±pè[« ÚÛ#aêŸ÷ô¢_-ú£ÙÜu Í÷±-꟪ÙC.-1 + 3 + 5 + 7 + ...... (n ú£Ù-Üuõªz =- n2

n(n+1) (2n+1)F 12 + 22 + 32 + ...... + n2 =

6

sö˶ë¯zn(n+1) (2n+1)

∑ n2 = 6

sö˶ë¯zîµ³ë]æ¨ n ú£-á ú£ÙÜuõ ÷ô¦_õ îµ³êŸhÙ

n(n+1) (2n+1)=

6

ÍòÅ°uú£ ví£øŒoõª

ú£÷«ëůû¦õª1-4 2-1 3-2 4-3 5-2 6-2 7-3 8-1

11 x

2

x

5 5 1 11. a = , b = Íô³ê¶ + = .....

3 4 a2 b2

1) 4 2) 3 3) 2 4) 1

2. Ú¨ÙC-î¦-æ¨E áêŸ-í£-ô¢-àŸÙè….-i) 62 + 82 = ? a) 625

ii) 82 + 152 = ? b) 169

iii) 72 + 242 = ? c) 100

iv) 52 + 122 = ? d) 289

1) i-c, ii-d, iii-a, iv-b 2) i-c, ii-b, iii-a, iv-d

3) i-c, ii-b, iii-a, iv-d 4) i-d, ii-c, iii-b, iv-a

3. 21 + 13 + 7 + √4 = ?

1) 25 2) 5 3) 9 4) 12

4. 412, 422 ÷ªëÅ]u Ñìo í£²ô¦gÙ-Ú¥õª ÓEo?1) 84 2) 86 3) 82 4) 88

5. x = 0.2 Íô³ê¶ 3x2 =

1) 1.2 2) 1.

3 3) 1.

8 4) 1.

9

6. Ú¨ÙC-î¦-æ¨ö˺ šíjëǯ-Þœ-J-óŸªû vAÚÛÙ Ú¥EC ÔC?1) (3, 4, 5) 2) (10, 12, 13)

3) (10, 24, 26) 4) (9, 12, 15)

7. ÷´è[ª ÷ô¢ªú£ í£²ô¦gÙ-Ú¥õ îµ³êŸhÙ 110. Íô³ê¶Î ú£ÙÜuõ îµ³êŸhÙ ÓÙêŸ?1) 15 2) 21 3) 18 4) 24

8. û¦õªÞœª ÍÙ·Úõ ÍA šíë]Ì í£J-í£²ô¢g ÷ô¢_-ú£ÙÜuÚÛª,÷´è[Ù-·Úõ ÍA šíë]Ì í£J-í£²ô¢g ÷ô¢_-ú£Ù-ÜuÚÛª ÷ªëÅ]uòÅ˶ë]-ÙêŸ?1) 8840 2) 8904 3) 8841 4) 8740

Dr Krithi K Karanth

F F F F F F F F F F F F F F F F F F F F

šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE î�¶æ̈E ÍÙæ°ô¢ª?šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE î�¶æ̈E ÍÙæ°ô¢ª?šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE î�¶æ̈E ÍÙæ°ô¢ª?šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE î�¶æ̈E ÍÙæ°ô¢ª?šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE î�¶æ̈E ÍÙæ°ô¢ª?šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE î�¶æ̈E ÍÙæ°ô¢ª?šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE î�¶æ̈E ÍÙæ°ô¢ª?šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE î�¶æ̈E ÍÙæ°ô¢ª?šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE î�¶æ̈E ÍÙæ°ô¢ª?šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE î�¶æ̈E ÍÙæ°ô¢ª?šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE î�¶æ̈E ÍÙæ°ô¢ª?

GH

48th Chief Justice of India

On 24 April 2021, Justice N.V.

Ramana sworn in as the 48th Chief

Justice of India by President Ram

Nath Kovind at Rashtrapati Bhavan.

He will hold the post for sixteen

months, until 26 August 2022.

During his tenure in the Supreme

Court, Justice Ramana has been a

part of many significant rulings. Some

among them are setting up of special

courts for fast-tracking criminal cases

against MPs and MLAs, bringing the

CJI’s office amenable to the Right to

Information Act and lifting Internet

restrictions in Jammu and Kashmir.

Corona Warriors Scheme

On 30 April 2021, the government

of Madhya Pradesh launched the

Corona Warriors Scheme. The gov-

ernment will take the responsibility of

family members of health workers

who have passed away while on

Corona duty.

Their families will be given a relief

of Rs.50 lakhs by the state govern-

ment.

The state government also declared

that the Covid vaccine will be admin-

istered free of cost to those above 18

years of age.

‘Climate VulnerabilityAssessment for Adaptation Plan’

On 17 April 2021, the report titled

‘Climate Vulnerability Assessment for

Adaptation Planning in India Using a

Common Framework’ was released

by Department of Science and

Technology (DoST), Government of

India.

Prof Ashutosh Sharma, the secre-

tary of DoST said that the National cli-

mate vulnerability assessment has

identifies 8 eastern states as highly

vulnerable to climate change. They

are Jharkhand, Mizoram, Odisha,

Chhattisgarh, Assam, Bihar,

Arunachal Pradesh, and West Bengal.

These states, mostly in the eastern

part of the country, require prioritiza-

tion of adaptation interventions.

Himachal Pradesh, Telangana,

Sikkim and Punjab have been cate-

gorised as lower-middle vulnerable

states. Uttarakhand, Haryana, Tamil

Nadu, Kerala, Nagaland, Goa and

Maharashtra have been categorised

as states with low vulnerability.

Trial of Python-5 Air to AirMissile

On 27 April 2021, Tejas, the India's

indigenous Light Combat Aircraft,

added the 5th generation Python-5

Air-to-Air Missile (AAM) in its air-to-air

weapons capability successfully.

The trials were also aimed to vali-

date enhanced capability of already

integrated Derby Beyond Visual

Range (BVR) AAM on Tejas.

The test firing at Goa completed a

series of missile trials to validate its

performance under extremely chal-

lenging scenarios.

Derby missile achieved direct hit on

a high-speed manoeuvring aerial tar-

get and the Python missiles also

achieved 100% hits, thereby validat-

ing their complete capability.

The Python-5 is the newest mem-

ber of the Israeli Python family of

short-range air-to-air missiles

Govt. of Delhi means

Lt Governor

On 27 April 2021, the Government of

National Capital Territory of Delhi

(Amendment) Act, 2021 came in to

force which gives primacy to the

Lieutenant Governor (L-G) over the

elected government.

According to the legislation, the

"government" in Delhi means the

"Lieutenant Governor" and the city

government will now have to seek the

opinion of the Lieutenant Governor

before taking any executive action.

Lok Sabha on 22 March and Rajya

Sabha on 24 March 2021 passed the

above legislation.

Earth Day

22 April is Earth Day, an international

event celebrated around the world to

pledge support for environmental pro-

tection. This year’s theme for Earth

Day is ‘Restore Our Earth’. The year

2021 marks the 51st anniversary of the

annual celebrations.

In 2009, the United Nations desig-

nated April 22 as ‘International Mother

Earth Day’.

The Earth Day aims to build the

world’s largest environmental move-

ment to drive transformative change

for people and the planet.

Yudhvir Memorial Award

On 30 April 2021, the 29th Yudhvir

Memorial Award was presented to

Hyderabad-based gynaecologist,

Dr. Evita Fernandez in recognition of

her service for the cause of women’s

healthcare and empowerment.

Vice President of India M Venkaiah

Naidu on this eve stressed the need to

accelerate the target 3.1 of

Sustainable Development Goals

(SDGs) set by the UNO that aims to

reduce the global maternal mortality

ratio by less than 70 per 100,000 live

births by 2030.

ñªëÅ]î¦ô¢Ù  5, 2021 n e-mail:[email protected]

17

National

Yudhvir Memorial Award

was presented to ..?

Writer

Amara Veeraswamy

Subject Expert

GeneralAwareness

World Press Freedom Index 2021

On 20 April 2021, the World Press

Freedom Index 2021 was published by

the international journalism not-for-profit

body, Reporters Without Borders (RSF).

In the index, India got 142 rank,

while Norway topped the index.

India has been listed under coun-

tries considered “bad” for journalism

and is among the most dangerous

places in the world for journalists.

The Index ranks countries and

regions according to the level of free-

dom available to journalists. The report

said few forces in India created an

environment of intimidation for journal-

ists who are critical of the government

by labelling them as “anti-national” or

“anti-state”.

The last rank position of 180 is

marked by Eritrea.

The parameters include pluralism,

media independence, media environ-

ment and self-censorship, legislative

framework, transparency and the qual-

ity of the infrastructure that supports

the production of news and information.

‘Leaders’ Summit on Climate’

‘Leaders’ Summit on Climate’ held

between 22-23 April 2021 was hosted

by the President of the U.S.A. Joe

Biden.

The two-day conference coincides

with the 5th anniversary of the opening

of the Paris Agreement on climate

change for signature.

The summit was held to strengthen

the cooperation among the nations to

tackle the climate change issues. The

leaders from 40 nations participated in

the summit.

The dignitaries discussed climate

action, nature-based solutions, climate

security and technological innovations

for clean energy.

The theme of the summit is “Our

Collective Sprint to 2030”.

Henley Passport Index

On 15 April 2021, the Henley Passport

Index released its list of the most pow-

erful passports.

India stands at number 84 in the list,

as the Indian citizens can visit Visa

Free or Visa-on-Arrival in over 58

places.

Japan and Singapore hold the top

two spots in the index respectively,

while Germany and South Korea share

the third spot.

Each country’s passport gives its cit-

izens different freedom and different

access.

The index ranks the passport as

per their mobility score, the higher the

score the better the passport and vice-

versa. Countries are ranked by the

number of passports they accept visa-

free or with visa on arrival.

International

Others

1. International Dance Day observed on

1) 1 April 2) 20 April 3) 18 April

4) 29 April 5) 4 May

2. What is the name of China's first

Mars Rover?

1) Nihao 2) Xiexie

3) Zhurong 4) Bu keqi 5) Zao

3. Kim Boo Kyum was nominated as

the prime minister of ......

1) South Korea 2) China

3) North Korea 4) Vietnam

5) Thailand

4. Who is appointed as the Associate

Attorney General of the USA, mak-

ing her the first Indian-American to

serve in this role?

1) Marcia Fudge 2) Uzra Zeya

3) Vanita Gupta 4) Mala Adiga

5) Neera Tanden

5. Shaheen-1A the nuclear-capable

surface to the surface ballistic mis-

sile was test-fired by ......

1) Israel 2) UK 3) USA

4) Pakistan 5) UAE

6. Who became India’s 68th Chess

Grandmaster?

1) Baskaran Adhiban

2) Sameer

3) Arjun Kalyan

4) Surya Shekhar Ganguly

5) Abhijeet Gupta

7. Which nation’s troops would be

withdrawn from Afghanistan by 11

September 2011?

1) Russia 2) UAE 3) USA

4) India 5) Japan

8. Which nation’s space agency

Roscosmos announced that it will

launch its own space station in

2025?

1) UK 2) Poland 3) Russia

4) USA 5) Germany

9. 2021 Barcelona Open Tennis

Tournament clinched by ......

1) Novak Djokovic

2) Rafael Nadal

3) Roger Federer

4) Dominic Thiem

5) Stan Wawrinka

10. Organisation for the Prohibition of

Chemical Weapons (OPCW) select-

ed whom as its external auditor for a

three-year term starting 2021?

1) Sunil Arora 2) Arvind Saxena

3) Rajiv Mehrishi

4) N.K.Singh 5) GC Murmu

11. ICC Women’s World Cup 2022 to

be hosted by ......

1) India 2) Pakistan

3) Australia 4) New Zealand

5) West Indies

12. Who assumed charge as the 24th

Chief Election Commissioner of

India?

1) K.K.Venugopal 2) Rajiv Kumar

3) Sushil Chandra

4) Amitabh Kanth

5) Pramod Chandra Mody

For more Information see

today’s AP Edition

Model Questions

Key

1-4 2-3 3-1 4-3 5-4 6-3

7-3 8-3 9-2 10-5 11-4 12-3

Dr. Evita Fernandez

1. Ú¨ÙC-î¦-æ¨ö˺ í£J-í£²ô¢g ÷ô¢_ú£ÙÜu Ú¥EC ÔC?1) 144 2) 169 3) 324 4) 0.25

þ§ëÅ]ì: 144 =- 122, 12 ú£ï£°á ú£ÙÜu Ú¥ñæ¨d 144

í£J-í£²ô¢g ÷ô¢_ ú£ÙÜu Í÷±-꟪ÙC.-169 =- 132, 13 ú£ï£°á ú£ÙÜu Ú¥ñæ¨d 169

í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu Í÷±-꟪ÙC.-324 =- 182, 18 ú£ï£°á ú£ÙÜu Ú¥ñæ¨d 324

í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu Í÷±-꟪ÙC0.25 =- 0.52, 0.5 ú£ï£°á ú£ÙÜu Ú¥ë]ª. Ú¥ñæ¨d0.25 í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu Ú¥ë]ª.- ú£-÷«-ëůìÙ:- 4

2. îµ³ë]æ¨ 25 ò˶ú‡ ú£ÙÜuõ îµ³êŸhÙ ÓÙêŸ?1) 576 2) 625 3) 676 4) 500

þ§ëÅ]ì: 1 + 3 + 5 + 7 + ..... (n ú£Ù-Üuõª) = n2

1 + 3 + 5 + 7 + ..... (25 ú£ÙÜuõªz =- 252

=- 25 × 25 =- 625

ú£÷«-ëůìÙ:- 2Þœ÷ª-EÚÛ: ÖÚÛ ÍÙ·Ú ú£ÙÜuö˺x ÍA-#ìo í£J-í£²ô¢g

÷ô¢_ ú£ÙÜu =- 1 (12)

·ôÙè[Ù-·Úõ ú£ÙÜuö˺x ÍA-#ìo í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 16 (42)

÷´è[Ù-·Úõ ú£ÙÜuö˺x ÍA-#ìo í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 100 (102)

û¦õªÞœÙ·Úõ ú£ÙÜuö˺x ÍA-#ìo í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 1024 (322)

Íô³-ë]Ù-·Úõ ú£ÙÜuö˺x ÍA-#ìo í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 10,000 (100-2)

ÖÚÛ ÍÙ·Ú ú£ÙÜuö˺x ÍA-šíë]Ì í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 9 (32)

·ôÙè[Ù-·Úõ ú£ÙÜuö˺x ÍA-šíë]Ì í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 81 (92)

÷´è[Ù-·Úõ ú£ÙÜuö˺x ÍA-šíë]Ì í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 961 (312)

û¦õª-ÞœÙ-·Úõ ú£ÙÜuö˺x ÍA-šíë]Ì í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu =- 9801 (99-2)

Íô³-ë]Ù-·Úõ ú£ÙÜuö˺x ÍA-šíë]Ì í£J-í£²ô¢g ÷ô¢_ ú£ÙÜu =- 99856 (3162)

3. 122, 132 ÷ªëÅ]u Ñìo í£²ô¦gÙ-Ú¥õ ú£ÙÜu?1) 24 2) 25 3) 26 4) 27

þ§ëÅ]ì: n2, (n + 1)2 (n ÖÚÛ ú£ï£°á ú£ÙÜu) ÷ªëÅ]u Ñìoí£²ô¦gÙ-Ú¥õ ú£ÙÜu =- 2n

122, 132 ÷ªëÅ]u- Ñìo í£²ô¦gÙ-Ú¥õ ú£ÙÜu =- 2 × 12 =- 24 ú£-÷«-ëůìÙ:- 1

4. 92 + 402 = x2 Íô³ê¶ x Nõª÷ ÓÙêŸ?1) 51 2) 49 3) 41 4) 59

þ§-ëÅ]ì: 92 + 402 = x2

⇒ 81 + 1600 = x2

⇒ 1681 = x2

⇒ x = √1681 ⇒ = √

412 = 41

∴ x = 41 ú£-÷«-ëůìÙ:- 3Þœ-÷ª-EÚÛ: a2 + b2 = c2 (a, b, cõª ú£ï£°á ú£ÙÜuõªzÍô³ê¶ (a, b, c)E šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍÙæ°ô¢ª.-Ñë¯: (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17)

îµ³ë]-ö˵j-ìN.-

5. 2275 + √841 = ?

1) 46 2) 48 3) 47 4) 52

þ§-ëÅ]ì: 2275 + √841 = 2275 + 29

(... √841 = 29)

= √2304 = √

482 = 48

ú£-÷«-ëůìÙ:- 2

6. 10 + 25 + 108 + 154 + √225 = ?

1) 4 2) 6 3) 8 4) 9

þ§-ëÅ]ì: 10 + 25 + 108 + 154 + √225

= 10 + 25 + 108 + 154 + 15

= 10 + 25 + 108 + 169

= 10 + 25 + 108 + 13

= 10 + 25 + 121 = 10 + 25 + 11

= 10 + 36 = √10 + 6

= √16 = 4 ú£-÷«-ëůìÙ:- 1

7. ÷´è[ª ÷ô¢ªú£ í£²ô¦gÙ-Ú¥õ ÷ô¦_õ îµ³êŸhÙ 434

Íô³ê¶ Î ú£ÙÜuõ îµ³êŸhÙ ÓÙêŸ? 1) 45 2) 42 3) 39 4) 36

þ§-ëÅ]ì: ÷´è[ª ÷ô¢ªú£ í£²ô¦gÙ-Ú¥õª =

x, x + 1, x + 2 Íìª-ÚÁÙè….-x2 + (x + 1)2 + (x + 2)2 = 434

⇒ x2 + x2 + 2x + 1 + x2 + 4x + 4 = 434

⇒ 3x2 + 6x + 5 = 434

⇒ 3x2 + 6x + 5 − 434 = 0

⇒ 3x2 + 6x − 429 = 0

⇒ x2 + 2x −143 = 0

⇒ x2 + 13x − 11x − 143 = 0

⇒ x(x + 13) − 11(x + 13) = 0

⇒ (x + 13) (x − 11) = 0

⇒ x + 13 = 0 öË¶ë¯ x − 11 = 0

⇒ x = −13 öË¶ë¯ x = 11

⇒ x = 11 (x = −13 í£²ô¢g ú£ÙÜu Ú¥ë]ªz∴ x = 11

x + 1 = 11 + 1 = 12

x + 2 = 11 + 2 = 13

÷-ô¢ªú£ í£²ô¦gÙ-Ú¥õ îµ³êŸhÙ = x + (x + 1z(x + 2)

= 11 + 12 + 13 = 36

ú£-÷«-ëůìÙ:- 48. x = 0.

3 Íô³ê¶ 2x2 =

1) 0.1 2) 0.

2 3) 0.

6 4) 0.

9

þ§-ëÅ]ì: x = 0.3

3 − 0 3 1= = =

9 9 3

1 2 1x2 = () =

3 9

1 22x2 = 2 × = = 0.2222...

9 9

= 0.2 ú£-÷«-ëůìÙ:- 2

9. ÖÚÛ Dô¢+-àŸ-꟪-ô¢-vþ§-Ú¥ô¢ ð»õÙ ð»è[÷±, î�µè[-õªp-ìÚÛª 1

1 - ·ôåªx ÑÙC.- Î ð»õÙ î�µjø‹õuÙ 1.-4406 2

šï°Ú¥dô¢ªx Íô³ê¶ Î ð»õÙ ð»è[÷± ÓÙêŸ? sOªå-ô¢xö˺z1) 167 2) 127 3) 147 4) 137

þ§-ëÅ]ì: ÖÚÛ Dô¢+-àŸ-꟪-ô¢-vþ§-Ú¥ô¢ ð»õÙî�µè[õªp (b) = x Íìª-ÚÁÙè…

1 3ð»è[÷± (l) = 1 b = b

2 2

3= x

2

D-ô¢+-àŸ-꟪-ô¢-vþ§-Ú¥ô¢ ð»õÙ î�µjø‹õuÙ =- l × b

3 3= x × x = x2

2 2

3ë]-ê¦hÙøŒÙ ví£Ú¥ô¢Ù x2 = 1.4406 šï°Ú¥dô¢ªx

2

3 x2 = 1.4406 × 10000 àŸ.-Oª.-2

= 14406 àŸ.-Oª.-2

⇒ x2 = 14406 × àŸ.-Oª.- 3

=- 9604 àŸ.-Oª.-⇒ x = √

9604 Oª. = 98 Oª.-

3 3ð»õÙ ð»è[÷± (l) = x = × 98 = 147 Oª.

2 2

ú£-÷«-ëůìÙ:- 3√

10. √

1225 + 0.0615 +- x = 35.25 Íô³ê¶ x

Nõª÷ ÓÙêŸ?1) 0.1 2) 0.01 3) 0.001 4) 0.0001

þ§-ëÅ]ì: √1225 + 0.0615 + x = 35.25

⇒ 35 + 0.0615 + x = 35.25

⇒ 0.0615 + x = 35.25 − 35

⇒ 0.0615 + x = 0.25

⇒ 0.0615 + x = (0.25)2

⇒ 0.0615 + x = 0.0625

⇒ x = 0.0625 − 0.0615 ⇒ x = 0.0010

∴ x = 0.001 ú£-÷«-ëůìÙ:- 311. îµ³ë]æ¨ 10 ú£ï£°á ú£ÙÜuõ ÷ô¦_õ îµ³êŸhÙ ÓÙêŸ?

1) 325 2) 345 3) 365 4) 385

þ§-ëÅ]ì: 12 + 22 +- 32 ...... -+ n2

n(n + 1)(2n + 1)=

6

12 + 22 + 32 + ...... + 102

10(10 + 1)(2 × 10 + 1)=-

6

10 × 11 × 21= = 385

6 ú£-÷«-ëůìÙ:- 4

Þœ-÷ª-EÚÛ:-n2(n + 1)2

13 + 23 +- 33 + ...... +- n3 = 4

(or)

n2(n + 1)2∑ n3 =

4

(or)

îµ³-ë]æ¨ n ú£ï£°á ú£ÙÜuõ íÆ£ªû¦õ îµ³êŸhÙ n2(n + 1)2

= 4

n(n + 1) 2= []

2

= (∑ n)2

12. îµ³ë]æ¨ 4 ú£ï£°á ú£ÙÜuõ íÆ£ªû¦õ îµ³êŸhÙ ÓÙêŸ?1) 64 2) 100 3) 81 4) 144

þ§-ëÅ]ì:- 13 + 23 + 33 + 43

= (1 + 2 + 3 + 4)2

= 102 = 100

ú£-÷«-ëůìÙ:- 2

ô¢àŸô³êŸúˆšï°àÂ. ô¦ëůÚÛ”ù£g Nù£óŸª Eí£±éªõª

÷«uëÇ]æ̈ÚÂq

ð¼æ© í£K¤Ûõví£ê¶uÚÛÙ

÷«-CJ ú£÷ª-ú£uõª

ú£ÙÝ°u ÷u÷ú£–÷³Ý°uÙø‹õª

F x2 =- y Í-ô³ê¶ √y = x Í-÷±-꟪ÙC.- ÍÙç˶

x ÷ô¢_Ù y Í-ô³ê¶ y ÷ô¢_-÷´õÙ x Í-÷±-꟪ÙC.-F n Í-û¶C ÖÚÛ ú£ï£°á ú£ÙÜu Íô³ê¶ n2 í£J-í£²ô¢g

÷ô¢_ú£ÙÜu sÚÛ#aêŸ ÷ô¢_-ú£ÙÜuz Í÷±-꟪ÙC.-í£J-í£²ô¢g ÷ô¢_ú£ÙÜu-õÚÛª Ñë¯--ô¢é:- 1, 4, 9, 16,

25, 36, 49...

Þœ÷ª-EÚÛ: 1.42 = 1.96, 142 = 196 õö˺1.96 í£-J-í£²ô¢g ÷ô¢_ú£ÙÜu Ú¥ë]ª (Not a perfect

square number).

196 í£J-í£²ô¢g ÷ô¢_-ú£ÙÜu (Perfect square

number).

F îµ³-ë]æ¨ n ò˶ú‡ ú£ÙÜuõ îµ³êŸhÙ Óõx-í£±pè[« ÚÛ#aêŸ÷ô¢_-ú£ÙÜu Í÷±-꟪ÙC.-1 + 3 + 5 + 7 + ...... (n ú£Ù-Üuõªz =- n2

n(n+1) (2n+1)F 12 + 22 + 32 + ...... + n2 =

6

sö˶ë¯zn(n+1) (2n+1)

∑ n2 = 6

sö˶ë¯zîµ³ë]æ¨ n ú£-á ú£ÙÜuõ ÷ô¦_õ îµ³êŸhÙ

n(n+1) (2n+1)=

6

ÍòÅ°uú£ ví£øŒoõª

ú£÷«ëůû¦õª1-4 2-1 3-2 4-3 5-2 6-2 7-3 8-1

11 x

2

x

5 5 1 11. a = , b = Íô³ê¶ + = .....

3 4 a2 b2

1) 4 2) 3 3) 2 4) 1

2. Ú¨ÙC-î¦-æ¨E áêŸ-í£-ô¢-àŸÙè….-i) 62 + 82 = ? a) 625

ii) 82 + 152 = ? b) 169

iii) 72 + 242 = ? c) 100

iv) 52 + 122 = ? d) 289

1) i-c, ii-d, iii-a, iv-b 2) i-c, ii-b, iii-a, iv-d

3) i-c, ii-b, iii-a, iv-d 4) i-d, ii-c, iii-b, iv-a

3. 21 + 13 + 7 + √4 = ?

1) 25 2) 5 3) 9 4) 12

4. 412, 422 ÷ªëÅ]u Ñìo í£²ô¦gÙ-Ú¥õª ÓEo?1) 84 2) 86 3) 82 4) 88

5. x = 0.2 Íô³ê¶ 3x2 =

1) 1.2 2) 1.

3 3) 1.

8 4) 1.

9

6. Ú¨ÙC-î¦-æ¨ö˺ šíjëǯ-Þœ-J-óŸªû vAÚÛÙ Ú¥EC ÔC?1) (3, 4, 5) 2) (10, 12, 13)

3) (10, 24, 26) 4) (9, 12, 15)

7. ÷´è[ª ÷ô¢ªú£ í£²ô¦gÙ-Ú¥õ îµ³êŸhÙ 110. Íô³ê¶Î ú£ÙÜuõ îµ³êŸhÙ ÓÙêŸ?1) 15 2) 21 3) 18 4) 24

8. û¦õªÞœª ÍÙ·Úõ ÍA šíë]Ì í£J-í£²ô¢g ÷ô¢_-ú£ÙÜuÚÛª,÷´è[Ù-·Úõ ÍA šíë]Ì í£J-í£²ô¢g ÷ô¢_-ú£Ù-ÜuÚÛª ÷ªëÅ]uòÅ˶ë]-ÙêŸ?1) 8840 2) 8904 3) 8841 4) 8740

F F F F F F F F F F F F F F F F F F F F

šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE î�¶æ̈E ÍÙæ°ô¢ª?šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE î�¶æ̈E ÍÙæ°ô¢ª?šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE î�¶æ̈E ÍÙæ°ô¢ª?šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE î�¶æ̈E ÍÙæ°ô¢ª?šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE î�¶æ̈E ÍÙæ°ô¢ª?šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE î�¶æ̈E ÍÙæ°ô¢ª?šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE î�¶æ̈E ÍÙæ°ô¢ª?šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE î�¶æ̈E ÍÙæ°ô¢ª?šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE î�¶æ̈E ÍÙæ°ô¢ª?šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE î�¶æ̈E ÍÙæ°ô¢ª?šíjëǯ-ÞœJ-óŸªû vAÚÛÙ ÍE î�¶æ̈E ÍÙæ°ô¢ª?


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