a2zinterviews

26.	A number when divided by the sum of 555 and 445 gives two times their difference the quotient and 30 as the remainder. The number is
	A.  1220
	B.  1250
	C.  22030
	D.  220030

Solution

Required number = (555+445)×2×110+30 220000+30 ‹=›220030.

27.	Find the number which is nearest to 457 and is exactly divisible by 11.
	A.  450
	B.  451
	C.  460
	D.  462

Solution

On dividing 457 by 11, remainder is 6. Required number is either 451 or 462 Nearest to 456 is = 462.

28.	What least number must be substracted from 427398 so that the remaining number is divisible by 15?
	A.  1
	B.  3
	C.  11
	D.  16

Solution

On dividing 427398 by 15, we get remainder = 3. Required number be substracted = 3.

29.	The largest natural number by which the product of three consecutive even natural numbers is always divisible, is
	A.  16
	B.  24
	C.  48
	D.  96

Solution

Required number = (2×4×6) = 48.

30.	The least number by which 72 must be multiplied in order to produce a multiple of 112, is
	A.  6
	B.  12
	C.  14
	D.  18

Solution

Required numbers is divisible by 72 as well as by 112, if it is divisible by their LCM, which is 1008. Now, 1008 when divided by 72, gives quotient = 14. Required number = 14.