A. 104
B. 114
C. 315
D. 325
Let the numbers be x and y. Then, x + y = 25 and x – y = 13.
4xy = (x + y)2 – (x – y)2 = (25)2 – (13)2 = 625- 169 = 456
=> xy = 114.
Related Mcqs:
- If the sum of two numbers is 55 and the H.C.F and L.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocal of the numbers is equal to___________?
A. 55/601
B. 601/55
C. 11/120
D. 120/11 - A man invests a certain sum of money at 6% per annum simple interest and another sum at 7% per annum simple interest. His income from interest after 2 years was Rs. 354. One-forth of the first sum is equal to one-fifth of the second sum. The total sum invested was :
A. Rs.3100
B. Rs.2700
C. Rs.2200
D. Rs.1800 - The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
A. 180
B. 170
C. 190
D. 175 - The L.C.M of two numbers is 48. The numbers are in the ratio 2:3. The sum of numbers is__________?
A. 28
B. 32
C. 40
D. 64 - The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is :___________?
A. 20
B. 30
C. 40
D. None of these - Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is________?
A. 75
B. 81
C. 85
D. 89 - The H.C.F and L.C.M of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1:4, then the larger of the two numbers is____________?
A. 12
B. 48
C. 84
D. 108 - The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 10, then their difference is__________?
A. 10
B. 46
C. 70
D. 90 - In a series of six consecutive even numbers, the sum of the second and sixth numbers is 24. What is the fourth number?
A. 8
B. 12
C. 6
D. 14
E. None of these - The sum of cubes of two numbers is 280. If the numbers are in the ratio 2:3, find the smallest number.
A. 4
B. 6
C. 3
D. 2
