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Mathematics — Set 5

10 Questions with Answers & Explanations

Set 5 of 14

1

पति, पत्नी र उनीहरुको बच्चाको तीन वर्ष अघिको औषत अमेर २७ वर्ष थियो। पत्नी र बच्चाको ५ वर्ष अघिको औषत उमेर २० वर्ष थियो भने पतिको हालको उमेर कति होला ? (The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:)

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2

एउटा मानिसले ६०० मिटर लामो बाटो ५ मिनेटमा पूरा गर्दछ भने उसको गति (किलोमिटर प्रतिघण्टामा) कति होला ? A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

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3

१९९८-२००० को अवधिमा कम्पनी X र कम्पनी Y को औषत उत्पादनको अनुपात कति छ ? What is the ratio of the average production of Company X in the period 1998-2000 to the average production of Company Y in the same period?

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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4

If (a/b)^(x-1) = (b/a)^(x-3), then the value of x is:

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5

Evaluate : (2.39)² - (1.61)² / 2.39 - 1.61

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6

कम्पनी Y ले २००० र २००१ मा उत्पादन गरेका सवारी साधनको संख्यामा कति फरक छ ? What is the difference between the number of vehicles manufactured by Company Y in 2000 and 2001 ?

Context: तलको रेखाचित्र अध्ययन गरी सोधिएका प्रश्नको उत्तर दिनुहोस् । Study the following line graph and answer the questions based on it. दुईवटा कम्पनीले दिएका वर्षमा उत्पादन गरेका सवारी साधनहरू ( हजारमा ) Number of Vehicles Manufactured by Two companies over the Years (Number in Thousands)

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7

तलका मध्ये कति ओटा संख्यालाई १३२ ले निःशेष भाग जान्छ ? How many of the following numbers are divisible by 132 ? 264, 396, 462, 792, 968, 2178, 5184, 6336

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8

कुनै व्यापारमा लगानीकर्ताहरुले नाफालाई ५:७:८ को अनुपातमा बाँडेका छन् । यदि उनीहरु क्रमशः १४ महिना, ८ महिना र ७ महिनाका लागि लगानी गरेका हुन् भने तिनीहरुको लगानीको अनुपात कति होला ? (Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?)

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9

A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw ?

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10

कृष्णले एउटा पुरानो स्कुटर रु. ४७००० मा किनेर मर्मतमा रु. ८००० खर्च गरिन् । मर्मत पछि उनले उक्त स्कुटर रु. ५८००० मा बिक्री गरिन् भने यो सबै कारोबारमा उनलाई कति नाफा भयो ? / Krishna buys an old scooter for Rs. 47000 and spends Rs. 8000 on its repairs. If she sells the scooter for Rs. 58000, his gain percent is:

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