Question
What is the highest possible sum of (x + y) if the
number '7x542y6' is divisible by 12?Solution
ATQ,
A number is divisible by 12 if it is divisible by both 3 and 4.
A number is divisible by 4 when the last two digits of the number are divisible by 4.
'y6' is divisible by 4 when 'y' = 0, 2, 4, 6, or 8.
Since we have to find the maximum value, so 'y' = 8.
A number is divisible by 3 when the sum of its digits is divisible by 3.
So, (7 + x + 5 + 4 + 2 + 8 + 6) = (32 + x) must be divisible by 3.
So, 'x' = 1, 4, or 7.
Since we have to find the maximum value, so 'x' = 7.
Therefore, required value = 7 + 8 = 15 .
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...
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...
Statements:
Only a few Orange is Basket.
All Hampers are Baskets.
No Hamper is a Gift.
Conclusions:
I. Some Hampers c...
Direction: In the given question a statement is followed by two conclusions numbered I and II. You have to assume everything in the statement to be tru...
Statements:
Only Sport are Team
All Game are Sport
No Sport are Goal
Conclusions:
I. Some Ga...Statements:
Some banks are lockers.
Some lockers are stores.
Some stores are panels.
Conclusions:
I. No bank i...
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 ...
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...
Statement:
Some lehenga are saree.
Only a few suit are dhoti.
Only a few dhoti are hanky.
All lehenga are hanky....
In the following questions below are given some statements followed by some conclusions based on those statements. Taking the given statements to be t...
Relevant for Exams:
