Multiple choice

The ratio between the two numbers is 3: 4. The sum of the one - fourth of square of smaller number and half of the square of larger number is 1476. Find the value of the cube root of the product of the numbers. दो संख्याओं में अनुपात 3 : 4 है | छोटी संख्या के वर्ग के एक चौथाई और बड़ी संख्या के वर्ग के आधा का योग 1476 है | संख्याओं के गुणनफल का घनमूल ज्ञात कीजिये |

  1. 12

  2. 13

  3. 14

  4. 16

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let numbers be 3x and 4x. Then (1/4)(3x)² + (1/2)(4x)² = 1476. This gives (9/4)x² + 8x² = 1476, so (41/4)x² = 1476. Thus x² = 144 and x = 12. The numbers are 36 and 48, their product = 1728, and cube root of 1728 = 12.