#### What is the least number which when doubled will be exactly divisible by 12, 14, 18 and 22?

Explanation:

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?

Explanation:

Ratio of the investment

=21000:17500=210:175=21000:17500=210:175 =42:35=6:5=42:35=6:5

Share of X in the profit

=26400×611=2400×6=14400

#### 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?

Explanation:

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?

Explanation:

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.

Explanation:

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.

EASY