245 IS BETWEEN WHICH OF THE FOLLOWING PAIRS OF INTEGERS A4 A
245 IS BETWEEN WHICH OF THE FOLLOWING PAIRS OF INTEGERS? A.4 AND 5 B. 15 AND 16 C. 26 AND 27 D. 49 AND 50 E. 122 AND 123
Solution
sqrt(245)
factorise 245 = 5*49 = 5*7*7
So, sqrt245 = sqrt(5*7*7) = 7*sqrt(5)
2<sqrt5<3
So, sqrt245 lies between : 7*2 <x <7*3 = 14<x < 21
The option which satisfies the above range is option B 15 and 16
