IBPS PO Prelims practice question
Two schemes' growth factors are a = 7+4√3 and b = 1/a. Find the value of a²+b².
From a IBPS PO Prelims Quantitative Aptitude practice set · Quantitative Aptitude
Tap an option to check your answer.
Show answer and explanation
Correct answer: (A) 194
Note ab = (7+4√3)×1/(7+4√3) = 1, and b = 1/(7+4√3) = (7−4√3)/((7)²−(4√3)²) = (7−4√3)/1 = 7−4√3 (since 49−48=1). So a+b = 14. Then a²+b² = (a+b)²−2ab = 196−2 = 194.
हिंदी में प्रश्न
दो योजनाओं के वृद्धि गुणक a = 7+4√3 और b = 1/a हैं। a²+b² का मान ज्ञात कीजिए।
उत्तर जाँचने के लिए किसी विकल्प पर टैप करें।
उत्तर और व्याख्या देखें
सही उत्तर: (A) 194
ध्यान दें ab = (7+4√3)×1/(7+4√3) = 1, और b = 1/(7+4√3) = (7−4√3)/(49−48) = 7−4√3 (क्योंकि 49−48=1)। अतः a+b = 14। तब a²+b² = (a+b)²−2ab = 196−2 = 194।
More solved Quantitative Aptitude questions
- Vikas spends 60% of his income and saves ₹4000 every month. Find his monthly income.
- A boat's speed in still water is 15 km/h. It covers 36 km downstream and 24 km upstream, and it is found that the upstream trip takes 36…
- ₹240 is divided between A and B in the ratio 7:9. Find B's share.
- During a sale, 50% of the items are sold at a profit of 35%, 30% of the remaining items are sold at a profit of 20% and the remaining…
- A train travels from Chennai to Coimbatore via Vellore and Salem. It covers Chennai-Vellore (138 km) at 69 km/h, Vellore-Salem (160 km) at…
- In parallelogram ABCD, angle A = (2x + 30)° and angle C = (3x + 10)°. Find angle A.