SEE 2082 Mathematics question paper, Bagmati Province

Questions

1. Question 16 marks

   In a survey conducted among 120 students of a school, the ratio of the students who liked to play football only and volleyball only was found to be 2:1. Also there were 20 students who liked to play both football and volleyball and 10 students who did not like any of these two games. (a) If F and V are the sets of students who like playing football and volleyball respectively, write in cardinality notation the set of students who like playing both games. (1) (b) Represent the information given in a Venn diagram. (1) (c) Find the number of students who like playing football. (3) (d) By what percentage is the number of students who like playing volleyball greater or fewer than the number who like playing football? Compare them. (1)

   एउटा विद्यालयको 120 जना विद्यार्थीहरूमा गरिएको सर्वेक्षणमा फुटबल मात्र र भलिबल मात्र खेल्न मन पराउने विद्यार्थीहरूको अनुपात 2:1 पाइयो । साथै 20 जना विद्यार्थीहरू फुटबल र भलिबल दुवै खेल खेल्न मन पराउने र 10 जना यी दुवैमध्ये कुनै पनि खेल खेल्न मन नपराउने पाइयो । (क) यदि फुटबल र भलिबल खेल्न मन पराउने विद्यार्थीहरूको समूह क्रमशः F र V छन् भने दुवै खेल खेल्न मन पराउने विद्यार्थीहरूको समूहलाई गणनात्मकता सङ्केतमा लेख्नुहोस् । (1) (ख) दिइएको जानकारीलाई भेनचित्रमा प्रस्तुत गर्नुहोस् । (1) (ग) फुटबल खेल्न मन पराउने विद्यार्थीहरूको सङ्ख्या पत्ता लगाउनुहोस् । (3) (घ) भलिबल खेल्न मन पराउने विद्यार्थी सङ्ख्या फुटबल खेल्न मन पराउने विद्यार्थी सङ्ख्याभन्दा कति प्रतिशतले बढी वा कम छ ? तुलना गर्नुहोस् । (1)

   See the worked answer and marking: practise free in GyanMul Prep

2. Question 24 marks

   The difference between annual compound amounts of a sum of money in 1 year and 2 years at the rate of 10% annual compound interest is Rs.47,250. (b) By how much does the quarterly compound interest on that same sum for the first year exceed the half-yearly compound interest? Find out. (2) By how much is the quarterly compound interest more than the semi-annual compound interest of the same sum in one year? Find it.

   कुनै रकमको 10% वार्षिक चक्रीय ब्याजदरमा 1 वर्ष र 2 वर्षको वार्षिक चक्रीय मिश्रधनहरूको फरक रु.47,250 छ । (क) उक्त रकम पत्ता लगाउनुहोस् । Find the sum. (2) (ख) सोही धनको पहिलो वर्षको त्रैमासिक चक्रीय ब्याज अर्धवार्षिक चक्रीय ब्याजभन्दा कतिले बढी हुन्छ ? पत्ता लगाउनुहोस् । (2)