A. 9, 10
B. 10, 11
C. 11, 12
D. 12, 13
Explanation:
Let the two consecutive positive integers be x and x + 1
x2 + (x + 1)2 – x(x + 1) = 91
x2 + x – 90 = 0
(x + 10)(x – 9) = 0 => x = -10 or 9.
As x is positive x = 9
Hence the two consecutive positive integers are 9 and 10.
Related Mcqs:
- The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 28. Which of the following integers is the higher of the remaining two integers?
A. 58
B. 86
C. 49
D. None of these - Three consecutive odd integers are in increasing order such that the sum of the last two integers is 13 more than the first integer. Find the three integers?
A. 9, 11, 13
B. 11, 13, 15
C. 13, 15, 17
D. 7, 9, 11
E. None of these - The sum of five consecutive even numbers of set x is 440. Find the sum of a different set of five consecutive integers whose second least number is 121 less than double the least number of set x?
A. 248
B. 240
C. 228
D. 236
E. None of these - 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 - 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 - Positive integers indicated by x and y satisfy 3 1/x * y 2/5 = 13 3/4, the fractions being in their lowest terms, then x = ? and y = ____________?
A. x = 4, y = 8
B. x = 4, y = 4
C. x = 2, y = 4
D. x = 8, y = 4 - The sum of squares of three numbers is 280. If the numbers are in the ratio 3:5:6, find the greatest number.
A. 8
B. 6
C. 12
D. 18 - The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?
A. 18, 20, 22
B. 20, 22, 24
C. 22, 24, 26
D. 24, 26, 28 - 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 four consecutive even numbers is 292. What would be the smallest number?
A. 74
B. 76
C. 70
D. 68
E. None of these
