Delhi Police Constable practice question
The height of a tree varies as the square root of its age. When the age of the tree is 324 years, its height is 19 feet. What will be the height of the tree (in feet) at the age of 81 years?
From a Delhi Police Constable General Awareness practice set · General Awareness
Tap an option to check your answer.
Show answer and explanation
Correct answer: (C) 9.5
Since height ∝ √age, 19 = k√324 = 18k, so k = 19/18. At age 81, height = (19/18)×√81 = (19/18)×9 = 9.5 feet.
हिंदी में प्रश्न
किसी पेड़ की ऊंचाई उसकी आयु के वर्गमूल के अनुसार बदलती है। जब पेड़ की आयु 324 वर्ष है, तो उसकी ऊंचाई 19 फीट है। 81 वर्ष की आयु में पेड़ की ऊंचाई (फीट में) क्या होगी?
उत्तर जाँचने के लिए किसी विकल्प पर टैप करें।
उत्तर और व्याख्या देखें
सही उत्तर: (C) 9.5
चूँकि ऊँचाई ∝ √आयु, 19 = k√324 = 18k, अतः k = 19/18। 81 वर्ष की आयु में, ऊँचाई = (19/18)×√81 = (19/18)×9 = 9.5 फीट।
More solved General Awareness questions
- During a sale, 55% of the goods are sold at a 41% profit, 20% of the remaining goods are sold at a 19% profit and the rest are sold at a…
- In a division sum, the divisor is 2 times the quotient and 4 times the remainder. If the remainder is 22, what is the dividend?
- Raj had a cake in the shape of a sphere of radius 8 cm. He then dipped it in chocolate and kept it in the freezer. After some time, he…
- Train A is 260 m long and crosses a platform of length 160 m in 28 seconds. Train B is 340 m long and passes a stationary man in 20…
- Which of the following numbers is divisible by both 9 and 43?
- A school teacher noticed that 6 years ago, his age was 3 times the age of his daughter at that time. 6 years from now, the teacher's age…