Explanation

LCM stands for Least Common Multiple, which is the smallest number divisible by two or more numbers.

HCF stands for Highest Common Factor, the largest number that divides two or more numbers without leaving a remainder.

Explanation

Explanation

10 men have ration for 21 days, which means the total ration is sufficient for 10 x 21 = 210 man-days.

If 3 men leave the camp, the remaining number of men is 10 - 3 = 7 men.

The total ration remains the same, but now it needs to be distributed among 7 men instead of 10.

To find the number of days the ration will last for the remaining men, divide the total ration (210 man-days) by the number of remaining men (7): 210 ÷ 7 = 30 days.

Therefore, the correct answer is: 30 days

Explanation

To find 45% of 225, multiply 225 by 0.45.

225 × 0.45 = 101.25

So, 45% of 225 is 101.25.

Explanation

A is twice as good as B, so A's work rate is 2 times that of B.

Since A takes 30 days less than B, let's assume B takes x days to complete the work. Then, A takes x - 30 days to complete the same work.

Since A is twice as good, A's work rate is 2 times that of B, so A completes the work in half the time it takes B. Therefore, x - 30 = (1/2)x

Solving the equation, we get x = 60 days for B and x - 30 = 30 days for A.

Since A and B are working together, their combined work rate is the sum of their individual work rates. So, the total work is completed in (60 * 30) / (60 + 30) = 1800 / 90 = 20 days.

Therefore, the correct answer is: 20 days

Explanation

1 divided by 1000 equals 0.001, which is the decimal representation of the fraction.

Explanation

X can do the work in 20 days, so X's work rate is 1/20 of the work per day.

Y can do the work in 12 days, so Y's work rate is 1/12 of the work per day.

X works alone for 4 days, completing 4/20 = 1/5 of the work.

Y joins X, and together they complete the remaining 4/5 of the work.

Their combined work rate is (1/20 + 1/12) = 8/60 = 2/15 of the work per day.

Since they complete 4/5 of the work together, it takes them (4/5) / (2/15) = 6 days to complete the remaining work.

Adding the 4 days X worked alone, the total duration is 4 + 6 = 10 days.

So, the correct answer is: 10 days.

Explanation

Panama's Capital is Panama City.

Panama's Currency is Balboa.

Panama's official language is Spanish.

Panama located is in the Continent of North America.

Panama's Primary Religion is Christianity.

Panama's Head of Govt. is President – Laurentino Cortizo.

Panama Parliament called.

Tricks for Remember

RK10-12-2022

Explanation

The number of mangoes he has left is x - 0.30x = 0.70x (since 100% - 30% = 70%).

We know that the number of mangoes he has left is 280. So, we can set up the equation:

0.70x = 280

To solve for x, we can divide both sides by 0.70:

x = 280 / 0.70

x = 400

So, the fruit seller had 400 mangoes initially.

Explanation

• A is the mother of B and C (so, A is the parent of C).
• D is the husband of C (so, D is the spouse of C).
• Therefore, A is the mother-in-law of D (the parent of D's spouse).

So, the relationship between A and D is that of mother-in-law and son-in-law.