Math News

To find the smallest number leaving remainder 8 when divided by 28 and remainder 12 when divided by 32, apply Euclid's lemma to solve for the smallest integer.

After multiplying each of the five numbers by 2, the new average is found by doubling the original average of 20.

In this problem, use a proportionality formula to find the new number of articles that can be bought for Rs.1,620 based on the initial cost and quantity of 12 articles.

To find the breadth of a rectangular field, divide the area by the length using the formula Area. Then find the breadth of the field.

In the number 562.3254, the hundredth place is the second digit to the right of the decimal point. Find the digit in this position to find the hundredth place value.

To find the base length of a parallelogram with an area of 24 m² and a height of 8 m, use the area formula and then find the base.

The perimeter of an isosceles triangle with two equal sides of 8 cm each and a third side of 6 cm is calculated by adding the lengths of all sides.

To express 256 × 243 in exponential form, break down each number into primes, then combine. This helps simplify large multiplications and shows the result easily.

To find the height of a triangle, use the formula for the area, and with the given area and base, try to solve for the height.

To find the length of the kite string given its angle and height, use trigonometric ratios like sine or cosine in a right triangle setup.

To determine which set of angles has the same trigonometric ratio, compare their specific values. So check this page to find the answer.

To find what fraction of an hour 20 minutes represents, divide 20 by 60. Simplify this fraction to get the final answer.

To find how much 60% of 50 is greater than 40% of 30, calculate both percentages and subtract the smaller value from the larger one.

To find the circle's radius, use Pythagoras theorem with the given tangent length and distance from the center, which form a right triangle.

To find two numbers whose sum is 27 and their product is 182, set up a quadratic equation based on these conditions, which involves solving for the numbers.

To find how many ways 8 people can be seated around a circular table, use the formula for circular permutations, which is (n-1)! for n people.

To find the unknown number given the sum of three-fifths of the number is 56, set up and solve the equation using the variable x for the number.

To find the single discount equivalent to successive discounts of 20%, 10%, and 15%, calculate each discount and combine them using the formula for successive discounts.

To find three consecutive natural numbers summing to 114, start with the smallest number as x, then write the equation based on consecutive numbers to solve for x.

To find the area of a triangle with sides 18 cm and 10 cm, and a perimeter of 42 cm, first determine the third side, then use Heron's formula.

To find the area of a triangle with a perimeter of 50 cm, identify the lengths of the sides using the given conditions, then calculate the area.

To find the area of an equilateral triangle with a perimeter of 180 cm, divide the perimeter by 3 to get the length of one side, then use the area formula.