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Mathematics — Set 12

10 Questions with Answers & Explanations

Set 12 of 14

1

मेसिन P ले एक लाख किताब ८ घण्टामा प्रिन्ट गर्छ, मेसिन Q ले त्यतिकै संख्याका किताब १० घण्टामा र R ले १२ घण्टामा प्रिन्ट गर्छन्। यदि सबै मेसिनहरु बिहान ९ बजे चल्न थाले तर मेसिन P ११ बजे बन्द भयो भने कति समयमा सबै किताबहरु प्रिन्ट गरेर सकिन्छ ? (A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished ?)

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2

७ पुरुष र ६ महिलाको समूहबाट ५ जना व्यक्तिहरुको न्यूनतम ३ जना पुरुष रहने गरि समूह बनाउँदा कति प्रकारले समूहहरु बनाउन सकिन्छ ? (From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?)

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3

१९९९ र २००० मा जम्मा ३३५०० परिक्षार्थी उत्तीर्ण भए । १९९९ मा जम्मा २६५०० परिक्षार्थी सहभागी भएका थिए भने २००० मा जम्मा कति परिक्षार्थी सहभागी भएका होलान् ? (The total number of candidates qualified in 1999 and 2000 together was 33500 and the number of candidates appeared in 1999 was 26500. What was the number of candidates in 2000?)

Context: तल दिइएको रेखा चित्रमा १९९४ देखि २००० सम्मको सात वर्षको अवधिमा कुनै परिक्षामा सहभागी भई उत्तीर्ण भएका परिक्षार्थीहरुको प्रतिशत प्रस्तुत गरिएको छ। The following line graph gives the percentage of the number of candidates who qualified an examination out of the total number of candidates who appeared for the examination over a period of seven years from 1994 to 2000. Percentage of Candidates Qualified to Appeared in an Examination Over the Years

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4

औसत तौल ६५ किलोग्राम भएको आठ जनाको समूहमा एक जना परिवर्तन भई अर्को मानिस आउँदा औसत तौलमा २.५ किलोग्रामले वृद्धि भयो भने परिवर्तन भई आउने मानिसको तौल कति होला ? (The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?)

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5

एउटा कलेजमा केटा र केटीको अनुपात ७: ८ को अनुपातमा छ । यदि केटा र केटीको संख्यामा क्रमशः २० र १० प्रतिशतले वृद्धि गर्दा नयाँ अनुपात कति हुन्छ ? / The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in number of boys and girls be 20% and 10% respectively, what will be the new ratio?

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6

सन् २००० मा कम्पनीको कुल खर्च कति छ ?

Context: तलको तालिका अध्ययन गरी सोधिएका प्रश्नहरूको उत्तर दिनुहोस् : वर्ष | तलब | इन्धन र सवारी भाडा | भत्ता | ऋणको ब्याज | कर 1998 | 288 | 98 | 3.00 | 23.4 | 83 1999 | 342 | 112 | 2.52 | 32.5 | 108 2000 | 324 | 101 | 3.84 | 41.6 | 74 2001 | 336 | 133 | 3.68 | 36.4 | 88 2002 | 420 | 142 | 3.96 | 49.4 | 98

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7

कम्पनी Y को तलकामध्ये कुन वर्षमा अघिल्लो वर्षको तुलनामा उत्पादनमा अधिकतम वृद्धि वा गिरावट छ ? For which of the following years, the percentage rise/fall in production from the previous year is the maximum for Company Y?

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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8

पूरा अवधिमा कम्पनी X ले औषतमा कति सवारी साधनहरू उत्पादन उत्पादन गर्यो ? What is the average numbers of vehicles manufactured by Company X over the given period ? (rounded off to nearest integer)

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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9

यहाँ A र B दुईवटा परीक्षाकोठाहरु छन् । यदि १० विद्यार्थीहरु A वाट B मा पठाइए पछि दुवै कोठामा विद्यार्थीको सङ्ख्या बराबर हुन्छ । यदि २० परीक्षार्थीहरु B वाट A मा पठाइएको भए A मा विद्यार्थीको सङ्ख्या B को भन्दा दोब्बर हुने थियो । अहिले कक्षा A मा कति विद्यार्थीहरु छन् ? (There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:)

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10

एउटा मानिसले एउटा गाई ३००० मा किन्यो र सोही दिन ३६०० मा बेच्यो, उसले क्रेतासँग २ वर्षमा १० प्रतिशत व्याजदरमा तिर्ने गरी सहमती गर्छ भने उसलाई जम्मा कति नाफा हुन्छ ? (A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:)

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