Question
If the 5-digit number 693XY is divisible by 3, 7, and
11, then what is the value of X + 2Y?Solution
ATQ;
The 5-digit number 693XY is divisible by 3, 7, and 11.
Divisibility rule of 3: The sum of digits must be a multiple of 3.
6+9+3+X+Y=18+X+Y
So, X + Y must be one of {0, 3, 6, 9, 12, 15, 18}.
Divisibility rule of 11: The difference between the sum of alternate digits must be divisible by 11.
(6+3+Y)−(9+X)=0
9+Y−9−X=0
Y−X=0
X=Y
From X + Y = 6, and X = Y, we get:
2X=6⇒X=3,Y=3
Checking divisibility by 7:
The number 69333 is divisible by 7.
Finding X + 2Y:3+2(3)=3+6=9
Gaseous Hormone in plants is called -
Which, among the following membrane transporters, shows active transport mechanism?
Active soil forming factors would include:
Seed rate required for transplanted pearl millet is
Which theory is generally included under micro economics?
I. Price Theory
II. Income Theory
III. Employment Theory
The PM KISAN aims to provide a payment of Rs. ______ /- per year, in ____ monthly instalments of Rs. 2000/- to the farmers families, subject to certain ...
What is NABARD’s role in the PM-KISAN scheme?
Pusa Lerma is an improved variety of
Weeds which are monocot in nature belong to the family
Which is the first step of extension educational process?
