1. If a and b
are positive integers such that a^2 -
b^2 = 19, then value of a is ?
2.(256∗256-144∗144)/112 ?
3.If a = 11
and b = 9, then value of (a^2+b^2+ab)/(a^3
-b^3 )
4.If p and q
represent digits, what is the maximum possible value of q in the statement : 5p9 + 327
+ 2q8 = 1114
5.7 is added
to a certain number; the sum is multiplied by 5; the product is divided by 9
and 3 is subtracted from the quotient. Thus, if the remainder left is 12, what
was the original number?
6.7 is added
to a certain number; the sum is multiplied by 5; the product is divided by 9
and 3 is subtracted from the quotient. Thus, if the remainder left is 12,
7.what was the original number?
The number
formed from the last two digits (ones and tens) of the expression 𝟐^𝟏𝟐𝒏 - 𝟔^𝟒𝒏 , where n is any positive integer is
8.The largest
number, which exctly divides the product of any four consecutive natural
numbers, is
9.A 4-digit
number is formed by representing a 2-digit number such as 2525 , 3232 etc. Any
number of this form is exactly divisible by
10.The total
number of integers between 200 and 400, each of which either begins with 3 or
ends with 3 or both is
11.A number
when divided by 136 leaves remainder 36. If the same number is divided by 17,
the remainder will be
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