Question:Find the largest number which divides 62, 132 and 237 to leave the same reminder in each case.
Required number = H.C.F of (132-62), (237-132) & (237-62)
= H.C.F of 70, 105 & 175 = 35.Question:Find the largest number of four digits exactly divisible by 12, 15, 18 and 27.
The largest number of four digits is 9999. Required number must be divisible by 1 c.m of 12, 15, 18, 27 i.e. by 540. On dividing 9999 by 540, we get 279 as remainder. `:.` Required number = (9999-279) = 9720.
Question:Find the smallest number of five digits exactly divisible by 16, 24, 36 and 54.
The smallest number of five digits is 10000. Required number must be divisible by 1 c.m of 16, 24, 36, 54 i.e. 432. On dividing 10000 by 432, we get 64 as remainder. `:.` Required number = 10000+ (432-64) = 10368.
Question:Evaluate: (i) 617 + 6.017 +.617 +6.0017 = ?
617 + 6.017 +.617 +6.0017 =629.6357
Question:5.064 + 3.98 + .7036 + 7.6 + .3 + 2 = ?
5.064 + 3.98 + .7036 + 7.6 + .3 + 2 =19.6476