In each of the following questions, read the given statements and compare the two given quantities on it basis. Give answer: What is the larger number? Quantity I: Difference between the two numbers…

Question

In each of the following questions, read the given statements and compare the two given quantities on it basis. Give answer: What is the larger number? Quantity I: Difference between the two numbers is 21 and LCM and HCF of those numbers are 70 and 7 respectively. Quantity II: The HCF and LCM of two numbers are 12 and 72 respectively. If the sum of the two numbers is 60. e e

PYQPulse · Accepted Answer

Quantity I = Quantity II or No relation can be established

PYQPulse · Answer

Explanation: Quantity I: Let the larger number be x. Smaller number = (x - 21) => x(x - 21) = 70 × 7 => x2 - 21x = 490 e e => x2 - 21x - 490 = 0 => (x - 35) (x + 14) = 0 => x = 35 Larger number = 35 and Smaller number = 14 Quantity II: Let the larger number be x. Smaller number = 60 - x => x(60 - x) = 12 × 72 => x2 - 60x - 864 = 0 => (x - 36) (x - 24) = 0 => x = 36, 24 Larger number = 36 and Smaller number = 24 Hence, Quantity I = Quantity II or no relation can be established.

Answer: D. Quantity I = Quantity II or No relation can be established

Explanation

Answer: D. Quantity I = Quantity II or No relation can be established

Explanation