Question
The least common multiple (LCM) of two numbers is 510,
and their highest common factor (HCF) is 17. Additionally, the sum of these two numbers is 187. Find the sum of the squares of the two numbers.Solution
Let the two numbers be '17a' and '17b'. So, 17a X 17b = 510 X 17 Or, a X b = 30 Given, 17a + 17b = 187 Or, a + b = 11 Required value = (17a)2 + (17b)2 = 289(a2 + b2) We know that (x + y)2 = x2 + y2 + 2xy Or, 112 = a2 + b2 + 2 X 30 Or, 121 - 60 = a2 + b2 So, a2 + b2 = 61 So, required value = 61 X 289 = 17629
Statements:
Only diameter is circle
Some diameter is triangle
No triangle is square
Conclusions:
I. All ci...
Statements:
Some laptops are printer.
All printer are camera.
Some camera are scanner.
Conclusions:
I. Some l...
In the questions given below, there are three statements followed by three conclusions I, II and III. You have to take the three given statements to be...
Statement:
Some lehenga are saree.
Only a few suit are dhoti.
Only a few dhoti are hanky.
All lehenga are hanky....
In the question below there are three statements followed by two conclusions I and II. You have to take the three given statements to be true even if ...
In the question below there are three statements followed by two conclusions I and II. You have to take the three given statements to be true even if t...
In the question below there are three statements followed by three conclusions I, II and III. You have to take the four given statements to be true ev...
In the following questions below are given some statements followed by some conclusions based on those statements. Taking the given statements to be t...
- In the question below some statements are given followed by three conclusions I, II and III. You have to take the given statements to be true even if they ...
Statement:
Only Metal is Bronze
Some Metal are not Gold
All Gold are Diamond
Conclusion:
...
