Advertisements
Advertisements
Question
Choose the most appropriate option:
Two consecutive even positive integers, sum of the squares of whichis 1060 are:
Options
16 and 18
12 and 14
22 and 24
20 and 22
Advertisements
Solution
22 and 24
Explanation:
Let two consecutive even number be x and x + 2
According to the question,
x2 +(x+2)2 = 1060
2x2 + 4x + 4 = 1060
2x2 + 4x − 1056 = 0
x2 + 2x − 528 = 0
By solving
x = 22 and x + 2 = 24
APPEARS IN
RELATED QUESTIONS
Solve the following question and mark the best possible option.
Using the digits 1,2 find the number of natural numbers, which are smaller than 2 × 108.
`(("cos" 30 theta + "i" "sin" 30 theta)^5 ("cos" 20 theta + "i" "sin" 20 theta)^4)/(("cos" theta + "i" "sin" theta)^-4("cos" theta "i" "sin" theta)^6)` is equal to:
Number of methods to find square root of an algebric expression are
The smallest of the fractions given below
In a family, the father took one-fourth of the cake and he had three times more than the others had. The total number of family members is
If x =`(3/2)^2(2/3)^-4`, the value of `"x"^-2` is
In a school of 500 students, 102 students can read Hindi and Tamil both, 200 students can read only Hindi. The students who can read only Tamil are:
P, Q, and R are three consecutive odd numbers in ascending order. If the value of three times P is 3 less than two times R. Find the value of R.
The largest 5-digit number exactly divisible by 91 is
The smallest number which when divided by 9, 12 and 16, leaves remainder 5 is
