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Mathematics — Set 11

10 Questions with Answers & Explanations

Set 11 of 14

1

१३० मिटर लामो रेलले ४५ किलोमिटर प्रतिघण्टाका दरले ३० सेकेण्डमा पार गर्छ भने उक्त पुलको लम्बाई कति होला ? (The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:)

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2

A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone. The volume of the cone so formed is:

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3

एउटा रक्सीको भाँडोबाट ८ लिटर रक्सी झिकेर पानी मिसाइयो, यो कामलाई थप तीन पटक दोहोर्याइयो, यस पछि भाँडोमा रक्सी र पानीको अनुपात १६:६५ पुग्यो भने उक्त भाँडोमा सुरुमा कति रक्सी थियो ? / 8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?

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4

१९९६ देखि १९९९ सम्म कम्पनी Y को उत्पादनमा कति प्रतिशतले वृद्धि भयो ? What is the percentage increase in the production of Company Y from 1996 to 1999?

Context: तल दिइएको स्तम्भ चित्रमा तीन ओटा कम्पनी X, Y, Z ले दिइएका वर्षहरुमा उत्पादन गरेको कागज ( लाख टन ) मा प्रस्तुत गरिएको छ : The bar graph given below shows the data of the production of paper (in lakh tonnes) by three different companies X, Y and Z over the years. Production of Paper (in lakh tonnes) by Three Companies X, Y and Z over the Years. बाँयाबाट क्रमशः X, Y, Z का स्तम्भ हुन्।

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5

चार वटा टेवलको मूल्य १० वटा कुर्चिको मूल्यसँग वरावर छ । १५ कुर्ती र २ टेवलको मूल्य रु ४००० पर्छ भने १२ कुर्ती र ३ टेवलको मूल्य कति होला ? The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:

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6

सबै शिर्षकमा सन् २००० मा जम्मा कति खर्च भएको छ ? The total expenditure of the company over these items during the year 2000 is?

Context: Expenditures of a company (in LAKH RUPEES) per annum over the given years. 2000 data: Salary=324, Fuel=101, Bonus=3.84, Interest=41.6, Taxes=74.

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7

कुनै सङ्ख्याले एक चौथाईको एक तिहाई १५ हुन्छ भने उक्त सङ्ख्याको दश भागको तीन भाग कति हो ? If one-third of one-fourth of a number is 15, then three-tenth of that number is:

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8

कुनै बैंकले निश्चित रकमको वार्षिक १० प्रतिशत ब्याजका दरले २ वर्षमा रु २४ कमाउँछ भने उक्त रकम कति होला ? / The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:

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9

कुनै एउटा पसलेले प्रति किलो रु १५ पर्ने दाल र प्रति किलो २० पर्ने दाल मिश्रणलाई प्रति किलो रु १६.५ पर्ने गरी मिसाउनु पर्दा कुन अनुपातमा मिसाउनु पर्छ ? (In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?)

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10

एउटा खराब दुध व्यापारीले पानी मिसाएर २५ प्रतिशत नाफा गर्ने गरी किनेकै मूल्यमा दुध बेच्दो रहेछ भने कति प्रतिशत पानी मिसाएको रहेछ ? (A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25 %. The percentage of water in the mixture is:)

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