Math News

To find the percentage of Tin in an alloy with 14 parts of Tin and 100 parts of Copper, use the formula for percentage composition.

To find the maximum number divisible by 9 formed with digits 6, 4, 8, and 1, check if the sum of the digits is divisible by 9. If not, no valid number can be formed.

To find how many two-digit integers are divisible by 4 or 9, first count those divisible by each and then adjust for overlap using their least common multiple.

To find a number between 60 and 140 with a given HCF and LCM, use the relationship between the product of two numbers and their HCF and LCM.

To find the man's running speed, divide the bridge length by the time taken to cross it, then convert the result into kilometers per hour.

At 3:30, the angle between the hour and minute hands of a clock is calculated based on their positions. So check below to learn about this.

To find the family's average age, calculate the total ages of all members and then divide by the number of people in the family.

To find out how long it takes for Rs. 450 to earn Rs. 81 in interest at a 4.5% annual rate, use the simple interest formula and solve for time.

To find the distance traveled, set up equations based on the times taken by the two men walking at different speeds and Solve these equations to find the distance.

To find the brother's age in 6 years, determine their current ages using the conditions given, and then add 6 to the brother's current age.

To find B's weight, use the given average weights of A, B, and C and set up equations to solve for B's specific weight.

To find the area of the smallest square inside square ABCD with 20 m sides, identify its side length and calculate its area using geometric principles.

To determine the speed of the stream, calculate the boat's time and speed both upstream and downstream, then use these results to find the speed of the stream.

To find the perimeter of a regular hexagon inscribed in a circle with radius r, note that each side of the hexagon equals the radius r.

To find the sum of odd numbers between 0 and 50, identify the sequence's arithmetic progression (AP) and apply the sum formula for an AP.

To determine the count of 2-digit positive integers divisible by 4 or 9, analyze divisibility for each and use inclusion-exclusion principles.

To find the maximum number of cartons each stack can hold for 144 cartons of Coke and 90 cartons of Pepsi, use the HCF or GCD method.

To find the probability of randomly selecting a three-digit number where all three digits are the same, count the numbers meeting this criterion.

To identify the incorrect number in the series 1, 2, 6, 15, 31, 56, 91, analyze the differences between consecutive terms to find a pattern.

To determine the longest tape needed to measure room dimensions of length 825 cm, breadth 675 cm, and height 450 cm, find their highest common factor (HCF).

Determining conditions for n2 - 1 to be divisible by 8 for odd positive integers n, find algebraic expressions and patterns in number theory.

To calculate 30% of 950, you multiply 950 by a division of 30 by 100, which will give the exact percentage value for this problem.

To find the smallest 3-digit number divisible by 6, 8, and 12, calculate their least common multiple (LCM) and then find the smallest multiple within the 3-digit range.

To find what percent 12 is of 25, divide 12 by 25 and multiply the result by 100. This will give the exact percentage value for this problem.

To find the cost of 4.5 pounds of all-purpose flour priced at $0.53 per pound, multiply the cost per pound by the number of pounds, which will give the total price.