Question
LCM of two numbers is 8 times their HCF. The product of
the numbers is 10240. What will be the maximum possible difference between the numbers?Solution
ATQ, Let HCF of two numbers be ‘x’ So, LCM of two numbers = 8 × x = 8x Or, x × 8x = 10240 Or, 8x² = 10240 Or, x² = 1280 Or, x = √1280 = 35.78 (Approx 36) LCM of two numbers = 36 × 8 = 288 Let two numbers be ‘36a’ and ‘36b’, where ‘a’ and ‘b’ are co-prime numbers. So, 36ab = 288 Or, a × b = 8 So, when a = 1 and b = 8, then difference will be maximum Desired difference = 36 × 8 – 36 × 1 = 252
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 ...
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at varianc...
Statements :
All oranges are apples.
No apple is a grape.
Conclusions :
I. No orange is a grape.
II. All apples are oranges.
Statements:
Some Facebook are Reels.
All Meta are Reels.
Only a few Reels are Views.
Conclusions:
I. All Reels ...
In the question below are given some statements followed by some conclusions. You have to take the given statements to be true even if they seem to be...
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at varianc...
Answer the following questions based on the information given below.
If A@B means A is the son of B.
A#B means A is the father of B.
...Statements:
No mountain is plane.
No river is mountain.
Conclusions:
I. No plane is river.
II. All river are ...
Statements:
Some books are copies
Only a few copies are papers
All papers are registers
Only a few registers are windows
Statements:
All trees are plants.
No plant is a flower.
Conclusions:
I. Some plants are not flowers.
II. S...
Relevant for Exams:
