SSC CHSL Tier-1 previous year question
Inside a triangle ABC, a straight line parallel to BC intersects AB and AC at the points P and Q, respectively. If AB = 6PB, then PQ BC is _________. ∶
Asked in SSC CHSL 2021 Tier-1 (24 May 2022 Shift 2) · Quantitative Aptitude
Tap an option to check your answer.
Show answer and explanation
Correct answer: (A) 5:6
AB=6PB ⟹ PB=AB/6, so AP=5AB/6. Since PQ∥BC, triangles APQ and ABC are similar, so PQ:BC = AP:AB = 5:6.
हिंदी में प्रश्न
त्रिभुज ABC के अंदर, BC के समांतर एक सरल रेखा AB और AC को क्रमशः बिंदु P और Q पर प्रतिच्छेद करती है। यदि AB = 6PB है, तो PQ : BC _________ है।
उत्तर जाँचने के लिए किसी विकल्प पर टैप करें।
उत्तर और व्याख्या देखें
सही उत्तर: (A) 2
AB=6PB ⟹ PB=AB/6, so AP=5AB/6. Since PQ∥BC, triangles APQ and ABC are similar, so PQ:BC = AP:AB = 5:6.
More solved Quantitative Aptitude questions
- A 60L milk-water mixture has 20% water. How much pure milk should be added to make water 15%?
- A hollow cylindrical pipe has external radius 5cm, internal radius 4cm, length 21cm. Find the volume of material used. (π=22/7)
- Triangle vertices A(0,0), B(6,0), C(0,8). Find the length of the median from A to BC.
- How many 3-digit (odd) numbers can be formed using the digits 1, 2, 3, 4, 5, 7, 9 without repetition?
- Find the volume of a sphere with radius 3 units. (Use pi = 22/7)
- The sum of the first 20 terms of the arithmetic progression 3, 7, 11, 15, … is