Question
Two times a number, added to the square of that number,
gives 3. What could be the possible answer for this number?Solution
Let the number be x. According to question, ⇒ 2x + x2 = 3 ⇒ x2 + 2x – 3 = 0 ⇒ x2 – x + 3x – 3 = 0 ⇒ (x – 1)(x + 3) = 0 ⇒ x = 1, -3
Find the value of 'a' in the given data if the mean of the given data is 18.
12, 15, 20, 17, 19, 14, 21, a, 13, 16
Find the sum of 1² + 3² + 5² + 7²……………………………….23².
...When a number is reduced by 25%, the resulting value is 36 more than 60% of the number's initial value. What is the original number?
Sum of squares of three consecutive numbers is 974. Find the sum of first and third number.
A set ‘X’ includes four back-to-back even numbers, and set ‘Y’ holds four successive odd numbers. The mean of the second elements from both sets...
What number should be deducted from 699 so that the resulting value, when divided by 7, 9, and 11, gives a remainder of 3 in each case?
Happy and Sad are running on a circular track of radius 245 metres. Happy can complete a round in 200 seconds and the speed of Sad is twice the speed of...
‘N’ is the largest three-digit number that leaves 6 as a remainder when divided by 7, 8 and 5. Find the sum of digits of ‘N’.
Find the average of the cubes of the first 7 natural numbers.
For two numbers, the square of their sum is 1024 and the sum of their squares is 640. What is the product of the numbers?
