Question
Three pairwise co-prime natural
numbers have the following property: The product of the first and second numbers is 210, and the product of the second and third numbers is 154. If the sum of the smallest and the largest of these three numbers is 'p', find the number of factors of 'p'.Solution
ATQ, Let the numbers be 'a', 'b' and 'c' According to the question, ab = 210 bc = 154 Now, b = HCF of (210 and 154) 210 = 2 × 3 × 5 × 7 154 = 2 × 7 × 11 Common part = 2 × 7 = 14 Therefore, b = 14 Now, a = 210/14 = 15 c = 154/14 = 11 So the three numbers are: 15, 14, 11 Least number = 11 Greatest number = 15 Therefore, p = 11 + 15 = 26 Now, factors of 26 are: 1, 2, 13, 26 ∴ total number of factors of 26 = 4
When is the World Youth Skills Day observed?
CPI inflation in India (August 2025) was recorded at:
The government as announced in the Union Budget 2025–26 a six-year “Mission for Aatmanirbharta in Pulses” focusing on which three pulses?
...If the cross-price elasticity of demand between two goods is negative, the goods are:
Who among the following can be the beneficiary of PM Kisan Maan Dhan Yojana?
Which of the following Key Employment Indicators is/are incorrectly matched?
As Blue Revolution is related to Fisheries, Yellow Revolution is related to _____________.
The National Council for Transgender Persons (NCTP) was first constituted by the Central Government in which year?
Which of the following age groups is eligible under the PM Shram Yogi Maan Dhan Yojana?
PM TB Mukt Bharat Abhiyan aims at ending TB from India by _____________.
Relevant for Exams:
