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Mathematics — Set 2

10 Questions with Answers & Explanations

Set 2 of 14

1

वार्षिक ४.५ प्रतिशतका दरले ४५० रुपैयाँको कति समयमा साधारण व्याज रु. ८१ हुन्छ ? / How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?

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2

कम्पनीको सन् १९९८ को कुल खर्च सन् २००२ को कुल खर्चको कति प्रतिशत हो ? Total expenditure on all these items in 1998 was approximately what percent of the total expenditure in 2002?

Context: Expenditures of a company (in LAKH RUPEES) per annum over the given years. 1998 total row: 288 + 98 + 3.00 + 23.4 + 83 = 495.4. 2002 total row: 420 + 142 + 3.96 + 49.4 + 98 = 713.36.

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3

कम्पनीले औसतमा कति रकम ब्याजमा तिर्नु परेको छ ? What is the average amount of interest per year which the company had to pay during this period?

Context: Expenditures of a company (in LAKH RUPEES) per annum over the given years. Year 1998-2002. Items: Salary, Fuel and Transport, Bonus, Interest on Loans, Taxes. Data for Interest on Loans: 1998: 23.4, 1999: 32.5, 2000: 41.6, 2001: 36.4, 2002: 49.4.

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4

तालिकामा प्रस्तुत गरिएको अवधिमा लाभांशमा तलबको कति प्रतिशत खर्च भएको छ ? The total amount of bonus paid by the company during the given period is approximately what percent of the total amount of salary paid during this period?

Context: Expenditures of a company (in LAKH RUPEES) per annum over the given years. Year 1998-2002. Bonus: 3.00, 2.52, 3.84, 3.68, 3.96. Salary: 288, 342, 324, 336, 420.

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5

एउटै गतिमा काम गर्दा ६ उस्तै प्रकारका मेसिनले २७० बोतल प्रति मिनेट उत्पादन गर्छन् भने यहि दरमा १० वटा मेसिनले ४ मिनेटमा कति बोतल उत्पादन गर्छन् ? / Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

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6

एउटा झरीमा ५ से.मि. वर्षा भयो भने १.५ हेक्टर जमिनमा परेको पानीको आयतन कति होला ? (In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:)

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7

रु. १२,५०० को ४ वर्षमा मिश्रधन १५,५०० हुन्छ भने व्याजदर कति होला ? / A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest?

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8

१ देखि २० नम्बर सम्मका टिकटहरु मिसाएर नहेरिकन कुनै एउटा टिकट झिक्दा ३ वा ५ पर्ने सम्भाव्यता कति हुन्छ ? Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

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9

The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

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10

If 5^a = 3125, then the value of 5^(a-3) is:

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