SBI PO Prelims practice question
Two straight lines PQ and RS intersect at point O such that angle POR = (3x + 27)° and angle QOS = (4x - 1)°. Find the measure of angle POR.
From a SBI PO Prelims Quantitative Aptitude practice set · Quantitative Aptitude
Tap an option to check your answer.
Show answer and explanation
Correct answer: (C) 111°
Angle POR and angle QOS are vertically opposite angles, so they are equal: 3x + 27 = 4x - 1. Solving, (3-4)x = -1 - 27, so x = 28. Therefore angle POR = 3(28) + 27 = 111°.
हिंदी में प्रश्न
दो सरल रेखाएँ PQ और RS बिंदु O पर इस प्रकार प्रतिच्छेद करती हैं कि कोण POR = (3x + 27)° और कोण QOS = (4x - 1)° है। कोण POR का मान ज्ञात कीजिए।
उत्तर जाँचने के लिए किसी विकल्प पर टैप करें।
उत्तर और व्याख्या देखें
सही उत्तर: (C) 111°
कोण POR और कोण QOS शीर्षाभिमुख कोण हैं, इसलिए ये बराबर होंगे: 3x + 27 = 4x - 1। हल करने पर x = 28 प्राप्त होता है। अतः कोण POR = 3(28) + 27 = 111°।
More solved Quantitative Aptitude questions
- A set of 6 consecutive natural numbers starts from 50, and another set of 14 consecutive natural numbers starts from 103. If the two sets…
- A trader's bill of face value F, due 6 months hence, was originally to be discounted immediately at 5% per annum banker's rate. Instead…
- From the top of a tower 75 m high, the angles of depression of two objects on the ground, both on the same side, are 60 and 30 degrees…
- In a game of 50 points, A can give B 15 points and C 35 points. Find how many points B can give C.
- The average of 3 numbers is 72. If 2 of the numbers are 37, 35, find the remaining number.
- Find the value of 1² + 2² + 3² + … + 9².