What is the least number which when doubled will be exactly divisible by 12, 14, 18 and 22?
LCM of 12, 14, 18 and 22 = 2772
Hence the least number which will be exactly divisible by 12, 14, 18 and 22 = 2772
2772 ÷ 2 = 1386
1386 is the number which when doubled, we get 2772
Hence, 1386 is the least number which when doubled will be exactly divisible by 12, 14, 18 and 22.
X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?
Ratio of the investment
Share of X in the profit
If A is coded as -, B is coded as +, C is coded as * and D is coded as / then evaluate 8 A 1 B 11 C 12 D 4 C 5?
Given, A is coded as -,
B is coded as +,
C is coded as * and
D is coded as /
and the given expression:8 A 1 B 11 C 12 D 4 C 5
By using correct symbols, we get,
8 - 1 + 11 * 12 / 4 * 5 = 172
Pointing out to a lady, a girl said, "She is the daughter-in-law of the grandmother of my father's only son." How is the lady related to the girl?
My father's only son - My brother; Grandmother of my brother - My grandmother.
Daughter-in-law of my grandmother - My mother.
So, the lady is girl's mother.
What is the two-digit number?
I. The difference between the two digits is 9.
II. The sum of the digits is equal to the difference between the two digits.
Let the tens and unit digits be x and y respectively. Then,
From Statement I. x-y= 9.
From Statement II. x+y=x-y.
From I and II, we get x-y= 9 and x+y= 9.
On solving, we get x= 9 and y= 0.
Therefore, Required number is 90.
Thus, both Statements and II are necessary to answer.