RRB Technician Grade 3 previous year question
The length of one of the two parallel sides of a trapezium is 8 cm, while the length of the other side of this pair of parallel sides is equal to the distance between this pair of parallel sides. If the area of the trapezium is 120 cm², then what is the distance (in cm) between the said pair of parallel sides?
Asked in RRB Technician Grade 3 (06 Mar 2026 Shift 1) · Quantitative Aptitude
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Correct answer: (D) 12
Let h be the distance between the parallel sides (equal to the other parallel side's length). Area = (1/2)(8+h)h = 120 gives h2+8h-240=0, so h=12 cm.
हिंदी में प्रश्न
किसी समलंब की दो समांतर भुजाओं में से एक की लंबाई 8 cm है, जबकि समांतर भुजाओं के इस युग्म की दूसरी भुजा की लंबाई, इन समांतर भुजाओं के बीच की दूरी के बराबर है। यदि समलंब का क्षेत्रफल 120 cm² है, तो उक्त समांतर भुजाओं के युग्म के बीच की दूरी (cm में) कितनी है?
उत्तर जाँचने के लिए किसी विकल्प पर टैप करें।
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सही उत्तर: (D) 12
मान लें h समांतर भुजाओं के बीच की दूरी है (जो दूसरी समांतर भुजा की लंबाई के बराबर है)। क्षेत्रफल = (1/2)(8+h)h = 120 से h²+8h−240=0, अतः h=12 सेमी।
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