6000 रुपये को P, Q और R के बीच 5:7: 8 के अनुपात में विभाजित किया जाना था। गलती से इसे P, Q और R के बीच 9: 7:4 के अनुपात में विभाजित किया गया था। विभाजन में R को कितनी धनराशि की हानि होती है?
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Rs. 6000 was to be divided among P, Q and R in the ratio of 5:7: 8. By mistake it was divided among P, Q and R in the ratio of 9:7:4. What amount R has lost in the division?
6000 रुपये को P, Q और R के बीच 5:7: 8 के अनुपात में विभाजित किया जाना था। गलती से इसे P, Q और R के बीच 9: 7:4 के अनुपात में विभाजित किया गया था। विभाजन में R को कितनी धनराशि की हानि होती है?
6000 रुपये को P, Q और R के बीच 5:7: 8 के अनुपात में विभाजित किया जाना था। गलती से इसे P, Q और R के बीच 9: 7:4 के अनुपात में विभाजित किया गया था। विभाजन में R को कितनी धनराशि की हानि होती है?
₹2,130 की धनराशि को तीन भागों में बाँटना है। दूसरा भाग पहले का 60% है, और पहले भाग और तीसरे भाग का अनुपात 5:7 है। तीनों भाग (₹ में) ज्ञात कीजिए।
A sum of ₹ 2,130 is to be divided into three parts. The second part is 60% of the first, and the ratio of the first to third part is 5: 7. What are the parts (in ₹)?
A sum of ₹ 2,130 is to be divided into three parts. The second part is 60% of the first, and the ratio of the first to third part is 5: 7. What are the parts (in ₹)?
#DAILY_VOCABULARY
1. DISENGAGE (VERB): (वापस लेना): withdraw
Synonyms: leave, pull out of
Antonyms: enter
Example Sentence:The commanders disengaged their forces.
2. REPRIEVE (VERB): (दंड निलंबित करना): pardon
Synonyms: spare, acquit
Antonyms: charge
Example Sentence:He was sentenced to death but then reprieved.
3. DEFECTION (NOUN): (पक्षत्याग): desertion
Synonyms: absconding, decamping
Antonyms: joining
Example Sentence:One defection from the government dissolved Temaru's majority.
4. CHAOTIC (ADJECTIVE): (अराजक): disorderly
Synonyms: disordered, disorganized
Antonyms: orderly
Example Sentence:The administration of finance was as chaotic as the condition of parliament.
5. VULNERABLE (ADJECTIVE): (सहज में घायल होने वाला): at risk
Synonyms: endangered, unsafe
Antonyms: invulnerable
Example Sentence:Children are the most vulnerable members of society.
6. SPURN (VERB): (तिरस्कार करना): refuse
Synonyms: decline, reject
Antonyms: adore
Example Sentence:He spoke gruffly, as if afraid that his invitation would be spurned.
7. RETREAT (VERB): (स्थान छोड़ना): withdraw
Synonyms: retire, draw back
Antonyms: advance
Example Sentence:When the enemy attacked, our troops were forced to retreat.
8. MOUNT (VERB): (उठना): increase
Synonyms: grow, rise
Antonyms: decrease
Example Sentence:The costs mount up when we buy a home.
9. LAX (ADJECTIVE): (लापरवाह): slack
Synonyms: slipshod, negligent
Antonyms: stern
Example Sentence:We must ever be lax with our security.
10. DIRE (ADJECTIVE): (भयानक): terrible
Synonyms: dreadful, appalling
Antonyms: good
Example Sentence:Misuse of drugs can have dire outcomes.
@mathrumble
1. DISENGAGE (VERB): (वापस लेना): withdraw
Synonyms: leave, pull out of
Antonyms: enter
Example Sentence:The commanders disengaged their forces.
2. REPRIEVE (VERB): (दंड निलंबित करना): pardon
Synonyms: spare, acquit
Antonyms: charge
Example Sentence:He was sentenced to death but then reprieved.
3. DEFECTION (NOUN): (पक्षत्याग): desertion
Synonyms: absconding, decamping
Antonyms: joining
Example Sentence:One defection from the government dissolved Temaru's majority.
4. CHAOTIC (ADJECTIVE): (अराजक): disorderly
Synonyms: disordered, disorganized
Antonyms: orderly
Example Sentence:The administration of finance was as chaotic as the condition of parliament.
5. VULNERABLE (ADJECTIVE): (सहज में घायल होने वाला): at risk
Synonyms: endangered, unsafe
Antonyms: invulnerable
Example Sentence:Children are the most vulnerable members of society.
6. SPURN (VERB): (तिरस्कार करना): refuse
Synonyms: decline, reject
Antonyms: adore
Example Sentence:He spoke gruffly, as if afraid that his invitation would be spurned.
7. RETREAT (VERB): (स्थान छोड़ना): withdraw
Synonyms: retire, draw back
Antonyms: advance
Example Sentence:When the enemy attacked, our troops were forced to retreat.
8. MOUNT (VERB): (उठना): increase
Synonyms: grow, rise
Antonyms: decrease
Example Sentence:The costs mount up when we buy a home.
9. LAX (ADJECTIVE): (लापरवाह): slack
Synonyms: slipshod, negligent
Antonyms: stern
Example Sentence:We must ever be lax with our security.
10. DIRE (ADJECTIVE): (भयानक): terrible
Synonyms: dreadful, appalling
Antonyms: good
Example Sentence:Misuse of drugs can have dire outcomes.
@mathrumble
4 संख्याओं का औसत 24 है। पहली 2 संख्याओं का औसत, अंतिम 2 संख्याओं के औसत का दोगुना है। अंतिम 2 संख्याओं का योग कितना है?
Average of 4 numbers is 24. Average of first 2 numbers is double of the average of last 2 numbers. What is the sum of last 2 numbers?
Average of 4 numbers is 24. Average of first 2 numbers is double of the average of last 2 numbers. What is the sum of last 2 numbers?
There are 17 consecutive odd numbers. If the average of first 11 numbers is X, then what is the average of last 6 numbers?
17 क्रमागत विषम संख्याएँ हैं। यदि पहली 11 संख्याओं का औसत X है, तो अंतिम 6 संख्याओं का औसत कितना है?
17 क्रमागत विषम संख्याएँ हैं। यदि पहली 11 संख्याओं का औसत X है, तो अंतिम 6 संख्याओं का औसत कितना है?
35 कर्मचारियों की औसत आय K रुपए है। यदि प्रबंधक की आय भी शामिल की जाए, तो औसत आय 19000 रुपए हो जाती है। यदि प्रबंधक की आय 54000 रुपए है, तो K का मान क्या है?
The average income of 35 employees is Rs. K. If the income of manager is also included, then the average income becomes Rs. 19000. If the income of the manager is Rs. 54000, then what is the value of K?
The average income of 35 employees is Rs. K. If the income of manager is also included, then the average income becomes Rs. 19000. If the income of the manager is Rs. 54000, then what is the value of K?
A group of students has an average weight of 44 kg. One student of weight 40 kg leaves the group and another student of weight 34 kg joins the group. If the new average weight becomes 43.4 kg, then how many students are there in the group?
छात्रों के एक समूह का औसत वजन 44 किलोग्राम है। 40 किलोग्राम वजन वाला एक छात्र समूह छोड़ देता है और 34 किलोग्राम वजन वाला एक अन्य छात्र समूह में शामिल हो जाता है। यदि नया औसत वजन 43.4 किलोग्राम हो जाता है, तो समूह में कितने छात्र हैं?
छात्रों के एक समूह का औसत वजन 44 किलोग्राम है। 40 किलोग्राम वजन वाला एक छात्र समूह छोड़ देता है और 34 किलोग्राम वजन वाला एक अन्य छात्र समूह में शामिल हो जाता है। यदि नया औसत वजन 43.4 किलोग्राम हो जाता है, तो समूह में कितने छात्र हैं?
#DAILY_VOCABULARY
1.Atheist
Meaning in Hindi: नास्तिक
Meaning in English: A person who does not believe in the existence of God.
2. Autocracy
Meaning in Hindi: निरकुश राज्यशासन
Meaning in English: Government By one Man who has unlimited power.
3. Autocrat
Meaning in Hindi: निरकुश
Meaning in English: A person who rules without consulting the opinion of others.
4. Arsenal
Meaning in Hindi: हथियार घर
Meaning in English: A place where weapons and ammunitions stored.
5. Allegory
Meaning in Hindi: रूपक
Meaning in English: A story in which ideas are symbolized as people.
6. Aristocracy
Meaning in Hindi: विषहर
Meaning in English: A Government run by the nobility or the rich and the elite people.
7. Autobiography
Meaning in Hindi: आत्मकथा
Meaning in English: A Life story of a person written by self.
8. Avairy
Meaning in Hindi: पक्षीशाला
Meaning in English: Large cage or building for keeping birds.
9. Analgesia
Meaning in Hindi: पीडाहर
Meaning in English: Loss of ability to feel pain while still conscious
10. Altruist
Meaning in Hindi: परोपकारी
Meaning in English: A person who thinks unselfishly for others.
11. Anarchy
Meaning in Hindi: अराजकता
Meaning in English: The absence of Government in a country
12. Accessible
Meaning in Hindi: प्राप्य
Meaning in English: Objects having life in them.
13. Audible
Meaning in Hindi: सुनाई देने योग्य
Meaning in English: That can be heard.
14. Arbitrator
Meaning in Hindi: निर्णायक
Meaning in English: A person was chosen or appointed by parties in controversy to decide their difference.
15. Ambivert
Meaning in Hindi: उभमुखी
Meaning in English: One who turns thoughts both inwards and outwards.
@mathrumble
1.Atheist
Meaning in Hindi: नास्तिक
Meaning in English: A person who does not believe in the existence of God.
2. Autocracy
Meaning in Hindi: निरकुश राज्यशासन
Meaning in English: Government By one Man who has unlimited power.
3. Autocrat
Meaning in Hindi: निरकुश
Meaning in English: A person who rules without consulting the opinion of others.
4. Arsenal
Meaning in Hindi: हथियार घर
Meaning in English: A place where weapons and ammunitions stored.
5. Allegory
Meaning in Hindi: रूपक
Meaning in English: A story in which ideas are symbolized as people.
6. Aristocracy
Meaning in Hindi: विषहर
Meaning in English: A Government run by the nobility or the rich and the elite people.
7. Autobiography
Meaning in Hindi: आत्मकथा
Meaning in English: A Life story of a person written by self.
8. Avairy
Meaning in Hindi: पक्षीशाला
Meaning in English: Large cage or building for keeping birds.
9. Analgesia
Meaning in Hindi: पीडाहर
Meaning in English: Loss of ability to feel pain while still conscious
10. Altruist
Meaning in Hindi: परोपकारी
Meaning in English: A person who thinks unselfishly for others.
11. Anarchy
Meaning in Hindi: अराजकता
Meaning in English: The absence of Government in a country
12. Accessible
Meaning in Hindi: प्राप्य
Meaning in English: Objects having life in them.
13. Audible
Meaning in Hindi: सुनाई देने योग्य
Meaning in English: That can be heard.
14. Arbitrator
Meaning in Hindi: निर्णायक
Meaning in English: A person was chosen or appointed by parties in controversy to decide their difference.
15. Ambivert
Meaning in Hindi: उभमुखी
Meaning in English: One who turns thoughts both inwards and outwards.
@mathrumble
#todaycurrentaffairs
15 February 2025 Current Affairs in English & Hindi
➼ Recently, President's rule has been imposed by the Central Government in the state of Manipur.
हाल ही में मणिपुर राज्य में केंद्र सरकार द्वारा राष्ट्रपति शासन लगा दिया गया है।
➼ In view of the falling prices of tomatoes, the Central Government has implemented the Market Intervention Scheme.
टमाटर की गिरती कीमतों को देखते हुए, केंद्र सरकार ने बाजार हस्तक्षेप योजना लागू की है।
➼ The West Bengal state government has allocated Rs 1,500 crore under the "Pathshree Scheme" for the repair of rural roads in Budget 2025.
पश्चिम बंगाल राज्य सरकार ने बजट 2025 में ग्रामीण सड़कों की मरम्मत हेतु "पथश्री योजना" के तहत 1,500 करोड़ रुपये का आवंटन किया है।
➼ The retail inflation rate has come down to 4.31% in January 2025.
जनवरी 2025 में खुदरा महंगाई दर घटकर 4.31% हो गई है।
➼ The theme of World Radio Day in the year 2025 is 'Radio and Climate Change'.
वर्ष 2025 में विश्व रेडियो दिवस का थीम 'रेडियो और जलवायु परिवर्तन’ है।
➼ Recently the Union Cabinet approved the creation of a new zone of Indian Railways "South Coast Railway" in the state of Andhra Pradesh.
हाल ही में केंद्रीय मंत्रिमंडल ने भारतीय रेलवे के एक नए जोन "साउथ कोस्ट रेलवे" को आंध्र प्रदेश राज्य में निर्माण को मंजूरी दी।
➼ Recently SEBI has launched a new digital platform named 'Mitra'.
हाल ही में SEBI ने 'मित्र' नाम का नया डिजिटल प्लेटफॉर्म लॉन्च किया है।
➼ India aims to be ranked among the top 25 countries in the World Bank's Logistics Performance Index (LPI) by 2030.
विश्व बैंक की लॉजिस्टिक्स परफॉर्मेंस इंडेक्स (LPI) में वर्ष 2030 तक भारत का लक्ष्य तक शीर्ष 25 देशों में स्थान प्राप्त करना है।
➼ India and Britain have signed agreements for next generation weapons at Aero India 2025.
भारत और ब्रिटेन ने एयरो इंडिया 2025 में अगली पीढ़ी के हथियारों के लिए समझौतों पर हस्ताक्षर किए हैं।
➼ World Congenital Heart Defects Awareness Day is celebrated all over the world on 14 February.
14 फरवरी को पूरे विश्व में विश्व जन्मजात हृदय दोष जागरूकता दिवस मनाया जाता है।
➼ “Van Dhan Yojana” launched for tribal welfare aims to establish 50,000 Van Dhan Vikas Kendras across the country.
जनजातीय कल्याण के लिए शुरू “वन धन योजना” का लक्ष्य देश भर में 50,000 वन धन विकास केंद्र स्थापित करना है।
➼ Prime Minister Narendra Modi will inaugurate the first Vande Bharat Rail for Kashmir Valley on 17 February.
प्रधानमंत्री नरेन्द्र मोदी 17 फरवरी को कश्मीर घाटी के लिए पहली वंदे भारत रेल का उद्घाटन करेंगे।
➼ Odisha state has implemented "Nirbhaya Kadhi" (Fearless Bud) and "Veerangana Yojana" under the 'Beti Bachao Beti Padhao' scheme.
ओडिशा राज्य ने ‘बेटी बचाओ बेटी पढ़ाओ’ योजना के तहत "निर्भया कढ़ी" (निडर कली) और "वीरांगना योजना" लागू की है।
➼ India will host the Global AI Summit in 2026 following discussions at the recent AI Action Summit in Paris.
हाल ही में हुए पेरिस में AI एक्शन समिट में चर्चा के बाद भारत 2026 के वैश्विक एआई शिखर सम्मेलन की मेज़बानी करेगा।
@mathrumble
15 February 2025 Current Affairs in English & Hindi
➼ Recently, President's rule has been imposed by the Central Government in the state of Manipur.
हाल ही में मणिपुर राज्य में केंद्र सरकार द्वारा राष्ट्रपति शासन लगा दिया गया है।
➼ In view of the falling prices of tomatoes, the Central Government has implemented the Market Intervention Scheme.
टमाटर की गिरती कीमतों को देखते हुए, केंद्र सरकार ने बाजार हस्तक्षेप योजना लागू की है।
➼ The West Bengal state government has allocated Rs 1,500 crore under the "Pathshree Scheme" for the repair of rural roads in Budget 2025.
पश्चिम बंगाल राज्य सरकार ने बजट 2025 में ग्रामीण सड़कों की मरम्मत हेतु "पथश्री योजना" के तहत 1,500 करोड़ रुपये का आवंटन किया है।
➼ The retail inflation rate has come down to 4.31% in January 2025.
जनवरी 2025 में खुदरा महंगाई दर घटकर 4.31% हो गई है।
➼ The theme of World Radio Day in the year 2025 is 'Radio and Climate Change'.
वर्ष 2025 में विश्व रेडियो दिवस का थीम 'रेडियो और जलवायु परिवर्तन’ है।
➼ Recently the Union Cabinet approved the creation of a new zone of Indian Railways "South Coast Railway" in the state of Andhra Pradesh.
हाल ही में केंद्रीय मंत्रिमंडल ने भारतीय रेलवे के एक नए जोन "साउथ कोस्ट रेलवे" को आंध्र प्रदेश राज्य में निर्माण को मंजूरी दी।
➼ Recently SEBI has launched a new digital platform named 'Mitra'.
हाल ही में SEBI ने 'मित्र' नाम का नया डिजिटल प्लेटफॉर्म लॉन्च किया है।
➼ India aims to be ranked among the top 25 countries in the World Bank's Logistics Performance Index (LPI) by 2030.
विश्व बैंक की लॉजिस्टिक्स परफॉर्मेंस इंडेक्स (LPI) में वर्ष 2030 तक भारत का लक्ष्य तक शीर्ष 25 देशों में स्थान प्राप्त करना है।
➼ India and Britain have signed agreements for next generation weapons at Aero India 2025.
भारत और ब्रिटेन ने एयरो इंडिया 2025 में अगली पीढ़ी के हथियारों के लिए समझौतों पर हस्ताक्षर किए हैं।
➼ World Congenital Heart Defects Awareness Day is celebrated all over the world on 14 February.
14 फरवरी को पूरे विश्व में विश्व जन्मजात हृदय दोष जागरूकता दिवस मनाया जाता है।
➼ “Van Dhan Yojana” launched for tribal welfare aims to establish 50,000 Van Dhan Vikas Kendras across the country.
जनजातीय कल्याण के लिए शुरू “वन धन योजना” का लक्ष्य देश भर में 50,000 वन धन विकास केंद्र स्थापित करना है।
➼ Prime Minister Narendra Modi will inaugurate the first Vande Bharat Rail for Kashmir Valley on 17 February.
प्रधानमंत्री नरेन्द्र मोदी 17 फरवरी को कश्मीर घाटी के लिए पहली वंदे भारत रेल का उद्घाटन करेंगे।
➼ Odisha state has implemented "Nirbhaya Kadhi" (Fearless Bud) and "Veerangana Yojana" under the 'Beti Bachao Beti Padhao' scheme.
ओडिशा राज्य ने ‘बेटी बचाओ बेटी पढ़ाओ’ योजना के तहत "निर्भया कढ़ी" (निडर कली) और "वीरांगना योजना" लागू की है।
➼ India will host the Global AI Summit in 2026 following discussions at the recent AI Action Summit in Paris.
हाल ही में हुए पेरिस में AI एक्शन समिट में चर्चा के बाद भारत 2026 के वैश्विक एआई शिखर सम्मेलन की मेज़बानी करेगा।
@mathrumble
#DAILY_VOCABULARY
1. OBFUSCATE (VERB): (अस्पष्ट करना): obscure
Synonyms: confuse, blur
Antonyms: clarify
Example Sentence:She was criticized for using arguments that obfuscated the main issue.
2. FACTION (NOUN): (कलह): infighting
Synonyms: dissension, dissent
Antonyms: harmony
Example Sentence:The council is increasingly split by faction.
3. UTTERLY (ADVERB): (पूर्णता से): completely
Synonyms: totally, absolutely
Antonyms: partly
Example Sentence:He looked utterly ridiculous.
4. CLAMOUR (NOUN): (कोलाहल): din
Synonyms: racket, uproar
Antonyms: silence
Example Sentence:The questions rose to a clamour.
5. DISPERSE (VERB): (बिखेर देना): scatter
Synonyms: disseminate distribute
Antonyms: gather
Example Sentence:Storms can disperse seeds via high altitudes.
6. DESPOTIC (ADJECTIVE): (तानाशाही): autocratic
Synonyms: dictatorial, totalitarian
Antonyms: democratic
Example Sentence:Obeying no law, despotic authority was arbitrary, and its animating spirit was fear.
7. CALAMITY (NOUN): (आपदा): disaster
Synonyms: catastrophe, tragedy
Antonyms: godsend
Example Sentence:Emergency measures may be necessary in order to avert a calamity.
8. MENACE (VERB): (ख़तरे में डालना): threaten
Synonyms: jeopardize, imperil
Antonyms: friendly, auspicious
Example Sentence:Africa's elephants are still menaced by poaching.
9. TORMENT (NOUN): (व्यथा): agony
Synonyms: suffering, torture
Antonyms: pleasure
Example Sentence:Their deaths have left both families in torment.
10. DETRIMENT (NOUN): (क्षति): harm
Synonyms: damage, injury
Antonyms: benefit, good
Example Sentence:He sits up very late to the detriment of his health.
@mathrumble
1. OBFUSCATE (VERB): (अस्पष्ट करना): obscure
Synonyms: confuse, blur
Antonyms: clarify
Example Sentence:She was criticized for using arguments that obfuscated the main issue.
2. FACTION (NOUN): (कलह): infighting
Synonyms: dissension, dissent
Antonyms: harmony
Example Sentence:The council is increasingly split by faction.
3. UTTERLY (ADVERB): (पूर्णता से): completely
Synonyms: totally, absolutely
Antonyms: partly
Example Sentence:He looked utterly ridiculous.
4. CLAMOUR (NOUN): (कोलाहल): din
Synonyms: racket, uproar
Antonyms: silence
Example Sentence:The questions rose to a clamour.
5. DISPERSE (VERB): (बिखेर देना): scatter
Synonyms: disseminate distribute
Antonyms: gather
Example Sentence:Storms can disperse seeds via high altitudes.
6. DESPOTIC (ADJECTIVE): (तानाशाही): autocratic
Synonyms: dictatorial, totalitarian
Antonyms: democratic
Example Sentence:Obeying no law, despotic authority was arbitrary, and its animating spirit was fear.
7. CALAMITY (NOUN): (आपदा): disaster
Synonyms: catastrophe, tragedy
Antonyms: godsend
Example Sentence:Emergency measures may be necessary in order to avert a calamity.
8. MENACE (VERB): (ख़तरे में डालना): threaten
Synonyms: jeopardize, imperil
Antonyms: friendly, auspicious
Example Sentence:Africa's elephants are still menaced by poaching.
9. TORMENT (NOUN): (व्यथा): agony
Synonyms: suffering, torture
Antonyms: pleasure
Example Sentence:Their deaths have left both families in torment.
10. DETRIMENT (NOUN): (क्षति): harm
Synonyms: damage, injury
Antonyms: benefit, good
Example Sentence:He sits up very late to the detriment of his health.
@mathrumble