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The ratio of boys to girls in a class is 2 : 3 and the average score of all the students in the class in maths is 54. The average score of boys is 50% more than that of girls. What is the average score of girls ? एक कक्षा में लड़के और लड़कियों की संख्या का अनुपात 2 : 3 है और कक्षा में सभी छात्रों के गणित में औसत प्राप्तांक 54 है | लड़कों का औसत प्राप्तांक लड़कियों के औसत प्राप्तंक से 50% अधिक है | लड़कियों का औसत प्राप्तांक कितना है ?

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In an examination, the success to failure ratio was 5 : 2. Had the number of failures been 14 more, then the success to failure ratio would have been 9 :5. The total number of candidates who appeared for the examination was : एक परीक्षा में, सफलता और असफलता का जनुपात 5 : 2 था | यदि असफल अभ्यर्थी की संख्या 14 अधिक होती , तो सफलता और असफलता का अनुपात 9 : 5 होता | इस परीक्षा में कुल कितने अभ्यर्थी शामिल हुए थे ?

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You have studied in Class IX,(Chapter 9. Example 3), that a median of a triangle divides it into two triangles of equal areas.Verify this result for AABC whose vertices are A(4,-6),B(3,-2) and C(5,2)