The sum of square of two numbers is 80 and the square of their difference is 16. What is the product of the two numbers?

A 10
B 16
C 30
D 32

Correct Answer: 32

Let x and y be the two numbers. ATQ, x2 + y2 = 80.....(i) and (x - y)2 = 16 or, x2 - 2xy + y2 = 16 or, 80 - 2xy = 16 [ from (i) x2 + y2 = 80 ] or, 2xy = 80 - 16 = 64 or, xy = 32 so the product of the two number is 32
Bissoy MCQ
#গণিত #পরিমিতি (Mensuration) #United Commercial Bank Ltd (UCB) #United Commercial Bank Ltd - Officer - 25.02.2011

Related Questions

Sum of 4 consecutive even numbers is greater than three consecutive odd numbers by 81 . If the sum of the least odd and even numbers is 59 then find the sum of largest of odd and even numbers is 59 then find the sum of largest odd and even numbers.
A 69
B 53`
C 65
D 72
The sum of squares of two numbers ia 80 and the square of difference between two numbers is 36. Find the product of two numbers.
A 17
B 22
C 33
D 28
The sum of squares of two numbers is 80 and the square of difference between the two numbers is 36. Find the product of tow numbers.
A 11
B 22
C 33
D 26
The length of each side of square A is increased by 100 percent to make square B. Again the length of each side of square B is increased by 50 percent to make square C. By what percent is the area of square C greater than the sum of the areas of square A and B?
A 75%
B 80%
C 85%
D 90%
Difference between two numbers is 2 and their sum is 4. Then what is the difference of their square ?
A 7
B 8
C 6
D 5
Difference between two numbers is 2 and their sum is 4. Then what is the difference of their square?
A 7
B 8
C 6
D 5
The product of two numbers is 900 and their sum exceeds their difference by 30. the greater of these two numbers is :
A 60
B 15
C 75
D 90
The sum and difference of the L.C.M and H.C.F of two number are 592 and 518 respectively . If the sum of the numbers be 296. FInd the product of the numbers.
A 20535
B 25550
C 30550
D 28430
Sum of 4 consecutive even numbers is greater than consecutive odd numbers by 81. If the sum of the least odd and even numbers is 59 then find the sum of largest odd and even numbers.
A 69
B 53
C 65
D 72
The product of two numbers is 900 and their sum exceeds their difference by 30. The greater of these two number is -----
A 60
B 15
C 75
D 90

Next steps