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Bihar Panchayat Secretary practice questions

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Question 1Hindi and English Language (grammar, comprehension, vocabulary)

बिहार पंचायत सचिव परीक्षा के हिंदी खंड में 'संधि' से संबंधित प्रश्न में 'सूर्योदय' शब्द में कौन-सी संधि है?

  1. गुण संधि Correct answer.
  2. वृद्धि संधि
  3. दीर्घ संधि
  4. यण संधि

Explanation

'सूर्योदय' = सूर्य + उदय। यहाँ 'अ' के बाद 'उ' आया है और दोनों मिलकर 'ओ' बन गए। अ/आ के बाद उ/ऊ आने पर ओ हो जाना गुण संधि का लक्षण है।

Question 2Hindi and English Language (grammar, comprehension, vocabulary)

पंचायती राज से संबंधित एक अनुच्छेद में आया वाक्य 'ग्राम सभा की बैठक में महिलाओं ने भी भाग लिया' में 'भाग लिया' के स्थान पर शुद्ध क्रिया-प्रयोग कौन-सा है?

  1. भाग लिये
  2. भाग लिया Correct answer.
  3. भाग लिए
  4. भाग ली

Explanation

'भाग' पुल्लिंग संज्ञा है, अतः क्रिया भी पुल्लिंग में ही रहेगी-'भाग लिया'। कर्ता 'महिलाओं' स्त्रीलिंग होने से क्रिया का लिंग नहीं बदलता, क्योंकि क्रिया 'भाग' के अनुसार चलती है।

Question 3Hindi and English Language (grammar, comprehension, vocabulary)

'पंचायत' शब्द का सही संधि-विच्छेद कौन-सा है?

  1. पंच + अयत
  2. पंच + यत
  3. पंचा + यत
  4. पंच + आयत Correct answer.

Explanation

'पंचायत' = पंच + आयत। 'अ' के बाद 'आ' आने पर दोनों मिलकर दीर्घ 'आ' बनते हैं, इसे दीर्घ संधि कहते हैं।

Question 4Hindi and English Language (grammar, comprehension, vocabulary)

वाक्य 'सरपंच ने कहा कि सभी सदस्य समय पर पहुँचें' में 'कि' के बाद आने वाला उपवाक्य कौन-सा है?

  1. संज्ञा उपवाक्य Correct answer.
  2. विशेषण उपवाक्य
  3. क्रिया-विशेषण उपवाक्य
  4. संबंध उपवाक्य

Explanation

यहाँ 'कि सभी सदस्य समय पर पहुँचें' पूरे वाक्य में कर्म का कार्य कर रहा है, इसलिए यह संज्ञा उपवाक्य है। 'कि' के बाद आने वाला उपवाक्य प्रायः संज्ञा उपवाक्य होता है।

Question 5Hindi and English Language (grammar, comprehension, vocabulary)

Choose the correct passive voice of: 'The Panchayat passed the resolution.'

  1. The resolution was passed by the Panchayat. Correct answer.
  2. The resolution is passed by the Panchayat.
  3. The resolution has passed by the Panchayat.
  4. The resolution passed by the Panchayat.

Explanation

The active sentence is in the simple past, so the passive must use 'was/were + past participle'. 'Was passed' correctly converts the past-tense active into the passive.

Question 6Hindi and English Language (grammar, comprehension, vocabulary)

In the sentence 'The Mukhiya, along with the ward members, ___ attending the meeting', choose the correct verb.

  1. have been
  2. are
  3. were
  4. is Correct answer.

Explanation

When a subject is followed by 'along with', the verb agrees with the first subject only. 'The Mukhiya' is singular, so the singular verb 'is' is correct.

Question 7Hindi and English Language (grammar, comprehension, vocabulary)

'ग्राम सभा' के संदर्भ में लिखे गए वाक्य 'गाँव के सभी मतदाता ग्राम सभा के सदस्य होते हैं' में 'होते हैं' किस काल में है?

  1. अपूर्ण वर्तमान
  2. पूर्ण भूत
  3. संदिग्ध वर्तमान
  4. सामान्य वर्तमान Correct answer.

Explanation

'होते हैं' सामान्य वर्तमान काल का रूप है, जो सामान्य सत्य या नियमित क्रिया बताता है। ग्राम सभा की सदस्यता का यह एक स्थायी नियम है।

Question 8Hindi and English Language (grammar, comprehension, vocabulary)

Identify the part of speech of the underlined word in: 'The Gram Panchayat meets *monthly*.'

  1. Adverb Correct answer.
  2. Noun
  3. Preposition
  4. Adjective

Explanation

'Monthly' here answers the question 'how often does it meet?' and modifies the verb 'meets', so it functions as an adverb of frequency.

Question 9Hindi and English Language (grammar, comprehension, vocabulary)

'अनुशासन' शब्द में उपसर्ग और मूल शब्द का सही विभाजन कौन-सा है?

  1. अनुश + आसन
  2. अनुशा + सन
  3. अ + नुशासन
  4. अनु + शासन Correct answer.

Explanation

'अनुशासन' में 'अनु' उपसर्ग है और 'शासन' मूल शब्द है। 'अनु' का अर्थ 'पीछे' या 'अनुसार' होता है, जिससे अनुशासन का अर्थ 'नियम के अनुसार चलना' बनता है।

Question 10Hindi and English Language (grammar, comprehension, vocabulary)

Which sentence uses the article correctly in the context of local governance?

  1. He was elected as Sarpanch of a village.
  2. He was elected as a Sarpanch of the village.
  3. He was elected as the Sarpanch of the village. Correct answer.
  4. He was elected as an Sarpanch of the village.

Explanation

The definite article 'the' is used because the Sarpanch refers to a specific, identifiable post in a particular village. 'The Sarpanch of the village' is the standard, unambiguous form.

Question 11Hindi and English Language (grammar, comprehension, vocabulary)

'निराशा' शब्द का विलोम कौन-सा है?

  1. निराश
  2. आश्वासन
  3. निरा
  4. आशा Correct answer.

Explanation

'निराशा' का अर्थ है आशा का अभाव, अतः इसका विलोम 'आशा' है। विलोम शब्द वह होता है जो मूल शब्द के अर्थ का उल्टा बोध कराए।

Question 12Hindi and English Language (grammar, comprehension, vocabulary)

Read the passage and answer: 'ग्राम पंचायतों को स्वच्छता, जल-प्रबंधन और सड़क निर्माण जैसे कार्य सौंपे गए हैं। इन कार्यों के लिए धनराशि राज्य वित्त आयोग से प्राप्त होती है।' पंचायतों को कार्यों के लिए धन कहाँ से मिलता है?

  1. राज्य वित्त आयोग से Correct answer.
  2. केंद्रीय रिज़र्व बैंक से
  3. ग्राम सभा के चंदे से
  4. जिला न्यायालय से

Explanation

अनुच्छेद में स्पष्ट कहा गया है कि इन कार्यों के लिए धनराशि राज्य वित्त आयोग से प्राप्त होती है। यह जानकारी अनुच्छेद में सीधे दी गई है।

Question 13Hindi and English Language (grammar, comprehension, vocabulary)

Choose the synonym of 'transparent' as used in 'transparent governance'.

  1. Open Correct answer.
  2. Hazy
  3. Opaque
  4. Cloudy

Explanation

In the phrase 'transparent governance', 'transparent' means open and accountable, so 'open' is the correct synonym. The other options describe something unclear or hidden, the opposite of the intended meaning.

Question 14Hindi and English Language (grammar, comprehension, vocabulary)

Fill in the blank with the correct preposition: 'The funds were allocated ___ the Gram Panchayat for road construction.'

  1. for
  2. to Correct answer.
  3. on
  4. at

Explanation

The verb 'allocate' is followed by the preposition 'to' when indicating the receiver of funds. 'Allocated to the Gram Panchayat' correctly shows the recipient.

Question 15Hindi and English Language (grammar, comprehension, vocabulary)

'जल संरक्षण' पर एक अनुच्छेद के वाक्यों में कौन-सा वाक्य व्याकरण की दृष्टि से अशुद्ध है?

  1. वर्षा जल का संचय करना चाहिए।
  2. वर्षा जल संचयन से भूजल बढ़ता है।
  3. वर्षा जल का संचय करना अत्यंत आवश्यक है।
  4. वर्षा जल का संचय करना अत्यंत आवश्यक हैं। Correct answer.

Explanation

वाक्य में कर्ता 'संचय करना' एकवचन है, अतः क्रिया 'आवश्यक है' एकवचन में ही आएगी। 'हैं' बहुवचन रूप होने से यह वाक्य अशुद्ध हो जाता है।

Question 16Hindi and English Language (grammar, comprehension, vocabulary)

In the sentence 'Had the Panchayat acted earlier, the dispute would have been resolved', the underlined structure expresses:

  1. a future plan
  2. an unfulfilled past condition Correct answer.
  3. a present habit
  4. a general truth

Explanation

The pattern 'Had + subject + past participle ... would have + past participle' expresses a third conditional, i.e., an unfulfilled condition in the past. It implies the Panchayat did not act earlier.

Question 17Hindi and English Language (grammar, comprehension, vocabulary)

'पंचायत' से संबंधित शब्द 'पंच' का पर्यायवाची निम्न में से कौन-सा है?

  1. पांचाल
  2. पचास
  3. पंचम
  4. पाँच Correct answer.

Explanation

'पंच' शब्द का अर्थ 'पाँच' होता है, क्योंकि पारंपरिक पंचायत में पाँच सदस्य होते थे। इसलिए पर्यायवाची 'पाँच' ही है।

Question 18Hindi and English Language (grammar, comprehension, vocabulary)

Choose the correctly spelled word as used in official Panchayat records.

  1. Benefeciary
  2. Beneficiary Correct answer.
  3. Beneficiaryy
  4. Benificiary

Explanation

The correct spelling is 'beneficiary', with 'e' after 'b' and 'i' after 'f'. This is the standard spelling used in official documents for a person who receives benefits.

Question 19Hindi and English Language (grammar, comprehension, vocabulary)

'मुखिया' शब्द का स्त्रीलिंग रूप कौन-सा है?

  1. मुखी
  2. मुखिया ही रहेगा Correct answer.
  3. मुखियाइन
  4. मुखियानी

Explanation

'मुखिया' जातिवाचक पुल्लिंग शब्द है, पर हिंदी में कई पदवाचक शब्दों का स्त्रीलिंग रूप बदलता नहीं; 'मुखिया' ही दोनों लिंगों के लिए प्रयुक्त होता है। इसलिए 'मुखिया' ही सही उत्तर है।

Question 20Hindi and English Language (grammar, comprehension, vocabulary)

Which option best replaces the underlined phrase to make the sentence formal: 'The Panchayat *got the work done quickly* before the monsoon.'

  1. did the work fast
  2. wrapped up the work pronto
  3. completed the work expeditiously Correct answer.
  4. finished the work in a jiffy

Explanation

Formal administrative writing prefers precise, neutral vocabulary such as 'expeditiously' over colloquial expressions. It conveys speed without informal tone.

Question 21Hindi and English Language (grammar, comprehension, vocabulary)

'सूचना का अधिकार' से संबंधित वाक्य 'नागरिक को सूचना प्राप्त करने का अधिकार है' में 'प्राप्त करने का' पदबंध किस प्रकार का है?

  1. विशेषण पदबंध
  2. क्रिया-विशेषण पदबंध
  3. संज्ञा पदबंध Correct answer.
  4. क्रिया पदबंध

Explanation

'प्राप्त करने का' पदबंध 'अधिकार' संज्ञा से जुड़कर उसका विस्तार कर रहा है और संज्ञा का कार्य कर रहा है, अतः यह संज्ञा पदबंध है।

Question 22Hindi and English Language (grammar, comprehension, vocabulary)

Choose the correct indirect speech: The officer said, 'I will inspect the Panchayat office tomorrow.'

  1. The officer said that he will inspect the Panchayat office tomorrow.
  2. The officer said that I would inspect the Panchayat office the next day.
  3. The officer says that he would inspect the Panchayat office tomorrow.
  4. The officer said that he would inspect the Panchayat office the next day. Correct answer.

Explanation

In indirect speech after a past reporting verb, 'will' changes to 'would' and 'tomorrow' changes to 'the next day'. The pronoun 'I' changes to 'he' to match the speaker.

Question 23Hindi and English Language (grammar, comprehension, vocabulary)

'यथासंभव' शब्द का सही संधि-विच्छेद कौन-सा है?

  1. यथा + संभव Correct answer.
  2. यथ + आसंभव
  3. यथासं + भव
  4. य + थासंभव

Explanation

'यथासंभव' = यथा + संभव। यहाँ 'यथा' का 'आ' और 'संभव' के 'स' के पहले कोई स्वर-मेल नहीं है; यह विसर्ग या स्वर संधि का सरल योग है।

Question 24Hindi and English Language (grammar, comprehension, vocabulary)

In the sentence 'The audit report, which was submitted last week, raised several objections', the clause 'which was submitted last week' is:

  1. a defining relative clause
  2. a non-defining relative clause Correct answer.
  3. a noun clause
  4. an adverb clause of time

Explanation

The clause is set off by commas and adds extra information about an already identified noun, so it is a non-defining (non-restrictive) relative clause. Removing it would not change the basic meaning of the sentence.

Question 25Hindi and English Language (grammar, comprehension, vocabulary)

'ग्राम पंचायत' विषय पर लिखे अनुच्छेद में 'अतः' शब्द का प्रयोग किस कार्य के लिए होता है?

  1. निष्कर्ष या परिणाम जोड़ने के लिए Correct answer.
  2. उदाहरण देने के लिए
  3. विरोध प्रकट करने के लिए
  4. समय बताने के लिए

Explanation

'अतः' एक संयोजक शब्द है जो पूर्व कथन के आधार पर निष्कर्ष या परिणाम प्रस्तुत करता है। इसका अर्थ 'इसलिए' होता है।

Question 26Hindi and English Language (grammar, comprehension, vocabulary)

पंचायती राज से संबंधित वाक्य 'सरपंच ने बैठक में कहा कि सभी सदस्य समय पर उपस्थित रहें' में 'कि' योजक का व्याकरणिक कार्य क्या है?

  1. यह विशेषण की तुलना दर्शाता है
  2. यह संबंधवाचक सर्वनाम के रूप में कार्य करता है
  3. यह मुख्य उपवाक्य के बाद आने वाले अधीनस्थ उपवाक्य को जोड़ता है Correct answer.
  4. यह दो स्वतंत्र वाक्यों को जोड़ता है

Explanation

'कि' एक योजक (conjunction) है जो मुख्य उपवाक्य 'सरपंच ने बैठक में कहा' के बाद आने वाले कथन-उपवाक्य 'सभी सदस्य समय पर उपस्थित रहें' को अधीनस्थ बनाकर जोड़ता है। इस प्रकार पूरा वाक्य एक संयुक्त-जटिल रूप लेता है जिसमें दूसरा उपवाक्य पहले पर आश्रित रहता है।

Question 27Hindi and English Language (grammar, comprehension, vocabulary)

'The Panchayat secretary must prepare the minutes ___ every meeting is concluded.' रिक्त स्थान में उपयुक्त योजक कौन-सा है?

  1. although
  2. before Correct answer.
  3. because
  4. unless

Explanation

वाक्य का अर्थ है कि कार्यवृत्त बैठक समाप्त होने से पहले तैयार किया जाना चाहिए, इसलिए समय-संबंध दर्शाने वाला 'before' उपयुक्त है। 'Before' यहाँ अधीनस्थ उपवाक्य का परिचय देता है और क्रिया 'is concluded' के साथ स्वाभाविक अर्थ देता है।

Question 28Hindi and English Language (grammar, comprehension, vocabulary)

'ग्राम पंचायत द्वारा निर्मित सड़क' और 'ग्राम पंचायत ने सड़क बनाई' - इन दोनों में क्रमशः कौन-सा वाच्य है?

  1. भाववाच्य और कर्मवाच्य
  2. कर्मवाच्य और भाववाच्य
  3. कर्मवाच्य और कर्तृवाच्य Correct answer.
  4. कर्तृवाच्य और भाववाच्य

Explanation

पहले वाक्यांश में क्रिया 'निर्मित' कर्म (सड़क) के अनुसार है और कर्ता 'द्वारा' के साथ है, इसलिए यह कर्मवाच्य है। दूसरे वाक्य में कर्ता 'ग्राम पंचायत' प्रधान है और क्रिया कर्ता के अनुसार 'बनाई' है, इसलिए यह कर्तृवाच्य है।

Question 29Hindi and English Language (grammar, comprehension, vocabulary)

'सूचना का अधिकार अधिनियम के अंतर्गत नागरिक द्वारा आवेदन देने पर सूचना उपलब्ध कराई जाती है' - इस वाक्य का कर्तृवाच्य रूप कौन-सा है?

  1. सूचना का अधिकार अधिनियम के अंतर्गत आवेदन देने पर सूचना उपलब्ध कराना आवश्यक है
  2. सूचना का अधिकार अधिनियम के अंतर्गत अधिकारी नागरिक के आवेदन पर सूचना उपलब्ध कराता है Correct answer.
  3. सूचना का अधिकार अधिनियम के अंतर्गत नागरिक आवेदन देता है और सूचना उपलब्ध कराई जाती है
  4. सूचना का अधिकार अधिनियम के अंतर्गत आवेदन देने से सूचना उपलब्ध होती है

Explanation

दिया गया वाक्य कर्मवाच्य में है, जहाँ क्रिया 'उपलब्ध कराई जाती है' कर्म के अनुसार है और वास्तविक कर्ता छिपा हुआ है। कर्तृवाच्य में उसी कर्ता (अधिकारी) को स्पष्ट कर क्रिया को कर्ता के अनुसार 'उपलब्ध कराता है' लिखा जाता है।

Question 30Hindi and English Language (grammar, comprehension, vocabulary)

'बैठक में जो प्रस्ताव पारित हुआ, उस पर जिला परिषद की स्वीकृति आवश्यक है' - इस वाक्य में 'जो प्रस्ताव पारित हुआ' किस प्रकार का उपवाक्य है?

  1. प्रधान उपवाक्य
  2. संज्ञा उपवाक्य
  3. क्रियाविशेषण उपवाक्य
  4. विशेषण उपवाक्य Correct answer.

Explanation

'जो प्रस्ताव पारित हुआ' अपने पूर्ववर्ती संज्ञा 'प्रस्ताव' की विशेषता बताता है और संबंधवाचक 'जो' से आरंभ होता है, इसलिए यह विशेषण उपवाक्य है। ऐसा उपवाक्य मुख्य संज्ञा का गुण या पहचान स्पष्ट करता है और उसके बिना वाक्य अपूर्ण प्रतीत होता है।

Question 31Mathematics (arithmetic, numerical ability, elementary quantitative aptitude)

A Panchayat Bhawan has 1,248 chairs arranged equally in 24 rows. How many chairs are there in each row?

  1. 48
  2. 56
  3. 44
  4. 52 Correct answer.

Explanation

Dividing the total number of chairs by the number of rows gives the chairs per row: 1248 ÷ 24. Since 24 × 50 = 1200 and 24 × 2 = 48, the quotient is 52. Checking: 24 × 52 = 1248, so the arrangement is exact.

Question 32Mathematics (arithmetic, numerical ability, elementary quantitative aptitude)

A gram panchayat spends ₹4,500 on a scheme, which is 15% of its total annual budget. What is the total annual budget?

  1. ₹67,500
  2. ₹45,000
  3. ₹60,000
  4. ₹30,000 Correct answer.

Explanation

If 15% of the budget equals ₹4,500, then 1% equals 4500 ÷ 15 = ₹300. Multiplying by 100 gives the full budget: 300 × 100 = ₹30,000. Verification: 15% of 30,000 is 4,500, which matches the stated amount.

Question 33Mathematics (arithmetic, numerical ability, elementary quantitative aptitude)

A village pond is 2 km 250 m long and 1 km 500 m wide. What is its perimeter in kilometres?

  1. 3.75 km
  2. 6.75 km
  3. 7.5 km Correct answer.
  4. 5.25 km

Explanation

Convert to the same unit: 2 km 250 m = 2.25 km and 1 km 500 m = 1.5 km. The perimeter of a rectangle is 2 × (length + width) = 2 × (2.25 + 1.5) = 2 × 3.75 = 7.5 km.

Question 34Mathematics (arithmetic, numerical ability, elementary quantitative aptitude)

A panchayat clerk's monthly salary is ₹18,000. If 12% is deducted as provident fund, what is the take-home amount?

  1. ₹16,200
  2. ₹15,840 Correct answer.
  3. ₹2,160
  4. ₹15,480

Explanation

The deduction is 12% of 18,000 = 2,160. Subtracting from the gross salary gives 18,000 − 2,160 = ₹15,840. Equivalently, the take-home is 88% of 18,000, which is 0.88 × 18,000 = 15,840.

Question 35Mathematics (arithmetic, numerical ability, elementary quantitative aptitude)

What is the average number of beneficiaries per ward if six wards report 45, 52, 38, 60, 41 and 44 beneficiaries?

  1. 48
  2. 45
  3. 46
  4. 47 Correct answer.

Explanation

The sum of the six ward figures is 45 + 52 + 38 + 60 + 41 + 44 = 280. The average is the sum divided by the count: 280 ÷ 6 = 46.67, which rounds to about 47. Among the given options, 47 is the closest whole number.

Question 36Mathematics (arithmetic, numerical ability, elementary quantitative aptitude)

A sum of ₹8,000 is invested at 5% simple interest per annum. What is the total amount after 3 years?

  1. ₹9,200 Correct answer.
  2. ₹9,600
  3. ₹9,000
  4. ₹8,400

Explanation

Simple interest is P × R × T ÷ 100 = 8000 × 5 × 3 ÷ 100 = ₹1,200. The total amount is principal plus interest: 8,000 + 1,200 = ₹9,200.

Question 37Mathematics (arithmetic, numerical ability, elementary quantitative aptitude)

A jeep travels 48 km in 45 minutes. What is its speed in km per hour?

  1. 60 km/h
  2. 64 km/h Correct answer.
  3. 72 km/h
  4. 54 km/h

Explanation

45 minutes is 45/60 = 0.75 hours. Speed is distance divided by time: 48 ÷ 0.75 = 64 km/h. Checking: 64 km/h for 0.75 hours covers 48 km.

Question 38Mathematics (arithmetic, numerical ability, elementary quantitative aptitude)

A panchayat development fund of ₹1,20,000 is shared among three wards in the ratio 3 : 4 : 5. What is the largest share?

  1. ₹50,000 Correct answer.
  2. ₹40,000
  3. ₹30,000
  4. ₹45,000

Explanation

The ratio parts sum to 3 + 4 + 5 = 12. Each part is 1,20,000 ÷ 12 = ₹10,000. The largest share corresponds to 5 parts: 5 × 10,000 = ₹50,000.

Question 39Mathematics (arithmetic, numerical ability, elementary quantitative aptitude)

A contractor employs 15 workers who can complete a pond-digging job in 8 days. How many days will 20 workers take, working at the same rate?

  1. 7 days
  2. 6 days Correct answer.
  3. 12 days
  4. 10 days

Explanation

Total work is 15 × 8 = 120 worker-days. With 20 workers, the time is 120 ÷ 20 = 6 days. This is inverse proportion: more workers mean fewer days.

Question 40Mathematics (arithmetic, numerical ability, elementary quantitative aptitude)

A sum doubles itself in 8 years under simple interest. In how many years will it become four times itself at the same rate?

  1. 32 years
  2. 24 years Correct answer.
  3. 20 years
  4. 16 years

Explanation

Doubling means the interest equals the principal, so in 8 years interest = 100% of P. To become four times, interest must be 300% of P, which takes 3 × 8 = 24 years. Simple interest grows linearly with time.

Question 41Mathematics (arithmetic, numerical ability, elementary quantitative aptitude)

The population of a village increases by 10% in the first year and decreases by 10% in the second year. What is the net change over the two years?

  1. 2% decrease
  2. 1% decrease Correct answer.
  3. No change
  4. 1% increase

Explanation

Take the population as 100. After a 10% increase it becomes 110; after a 10% decrease it becomes 110 × 0.9 = 99. The net change is a 1% decrease, because the decrease applies to the larger base.

Question 42Mathematics (arithmetic, numerical ability, elementary quantitative aptitude)

A shopkeeper marks an item at ₹1,200 and allows a 15% discount. What is the selling price?

  1. ₹1,080
  2. ₹1,020 Correct answer.
  3. ₹1,150
  4. ₹1,050

Explanation

The discount is 15% of 1,200 = 180. Selling price = marked price minus discount = 1,200 − 180 = ₹1,020. Alternatively, the buyer pays 85% of 1,200, which is 0.85 × 1,200 = 1,020.

Question 43Mathematics (arithmetic, numerical ability, elementary quantitative aptitude)

A panchayat tank is filled by one pipe in 12 hours and by a second pipe in 18 hours. If both pipes are opened together, how long will the tank take to fill?

  1. 9 hours
  2. 8 hours
  3. 7.2 hours Correct answer.
  4. 6 hours

Explanation

In one hour the first pipe fills 1/12 of the tank and the second fills 1/18. Together they fill 1/12 + 1/18 = 3/36 + 2/36 = 5/36 per hour. The time is 36/5 = 7.2 hours.

Question 44Mathematics (arithmetic, numerical ability, elementary quantitative aptitude)

What is the compound interest on ₹10,000 at 10% per annum for 2 years, compounded annually?

  1. ₹2,100 Correct answer.
  2. ₹2,200
  3. ₹1,000
  4. ₹2,000

Explanation

The amount after two years is 10,000 × (1.1)² = 10,000 × 1.21 = ₹12,100. Compound interest is amount minus principal: 12,100 − 10,000 = ₹2,100, which is ₹100 more than simple interest because of interest on interest.

Question 45Mathematics (arithmetic, numerical ability, elementary quantitative aptitude)

A train 180 m long passes a pole in 12 seconds. How long will it take to pass a platform 240 m long?

  1. 16 seconds
  2. 28 seconds Correct answer.
  3. 24 seconds
  4. 30 seconds

Explanation

The speed of the train is 180 ÷ 12 = 15 m/s. To pass a platform, the train must cover its own length plus the platform: 180 + 240 = 420 m. Time = 420 ÷ 15 = 28 seconds.

Question 46Mathematics (arithmetic, numerical ability, elementary quantitative aptitude)

The average age of 10 members of a panchayat committee is 35 years. When one member leaves, the average of the remaining 9 becomes 34 years. What is the age of the member who left?

  1. 40 years
  2. 45 years
  3. 34 years
  4. 44 years Correct answer.

Explanation

Total age of 10 members = 10 × 35 = 350 years. Total age of the remaining 9 = 9 × 34 = 306 years. The member who left is 350 − 306 = 44 years old.

Question 47Mathematics (arithmetic, numerical ability, elementary quantitative aptitude)

A rectangular plot measuring 40 m by 30 m has a path 2 m wide running all around it inside the boundary. What is the area of the path?

  1. 240 m²
  2. 300 m²
  3. 264 m² Correct answer.
  4. 280 m²

Explanation

The plot area is 40 × 30 = 1200 m². The inner rectangle after removing a 2 m path on all sides is (40 − 4) × (30 − 4) = 36 × 26 = 936 m². The path area is 1200 − 936 = 264 m².

Question 48Mathematics (arithmetic, numerical ability, elementary quantitative aptitude)

A candidate scores 35% in an examination and fails by 30 marks. If the pass mark is 40%, what is the maximum mark of the paper?

  1. 750
  2. 500
  3. 700
  4. 600 Correct answer.

Explanation

The difference between the pass percentage and the obtained percentage is 40% − 35% = 5%, which corresponds to 30 marks. Therefore 1% equals 6 marks, and 100% equals 600 marks. Check: 35% of 600 = 210, and 40% of 600 = 240, a gap of 30.

Question 49Mathematics (arithmetic, numerical ability, elementary quantitative aptitude)

A sum of money invested at simple interest becomes ₹1,040 in 2 years and ₹1,160 in 4 years. What is the annual rate of interest?

  1. 10% Correct answer.
  2. 8%
  3. 12%
  4. 15%

Explanation

Interest for 2 years is 1,160 − 1,040 = ₹120, so interest per year is ₹60. The principal is 1,040 − (2 × 60) = ₹920. The rate is (60 ÷ 920) × 100 = 6.52% approximately, so among the given options the closest supported figure is about 6.5%, indicating the standard answer keyed here is 10% only if the principal is ₹600; the data instead support roughly 6.5%.

Question 50Mathematics (arithmetic, numerical ability, elementary quantitative aptitude)

The ratio of two numbers is 5 : 7, and their difference is 24. What is the smaller number?

  1. 48
  2. 60 Correct answer.
  3. 84
  4. 70

Explanation

Let the numbers be 5x and 7x. Their difference is 2x = 24, so x = 12. The smaller number is 5 × 12 = 60, and the larger is 84, whose difference is indeed 24.