>> Aptitude >> Number System
1). If a and b are two whole numbers, then a-b = c will be a whole number if
A). a < b B). a > b
C). a = b D). both (b) and (c)
2). Multiplicative identity of whole number 'a' is
A). 1 B). 1/a
C). a+1 D). a-1
3). If number 'b' is a factor of a number 'a', then 'a' divided by 'b' gives the remainder
A). any number greater than zero B). any number less than zero
C). zero D). one
4). Value of \( (-1)^{-13} \)is
A). 1 B). -1
C). \( \left( \frac{1}{13}\right) \) D). -13
5). If 'a' and 'b' are two rational numbers, then number of rational number between them are
A). one B). two
C). zero D). infinite
6). Predecessor of lowest positive integer is
A). zero B). -1
C). 1 D). none of these
7). If 'a' and 'b' are two rational numbers, then \( \left( \frac{a}{b}\right)^{-n} \) is equal to
A). \( -n \left( \frac{a}{b} \right) \) B). \(-\left(\frac{a}{b} \right)\)
C). \( \Large \frac{1}{\left( \frac{b}{a} \right)^n} \) D). \( \Large \frac{1}{\left( \frac{a}{b} \right)^n}\)
8). If sum of integers from 101 to 200, inclusive is subtracted from the sum of integers from 201 to 300 inclusive, then the result is
A). 0 B). 100
C). 1000 D). 10000
9). If \( \Large k \neq 0 \) and \( \Large  k \neq 1 \), then which of the following cannot be true?
A). \(k^2 > k \) B). \(k^2 < k \)
C). \(k^2 = k \) D). Both b and c
10). Which of the following is equal to \(  \Large 3^4.3^3 \)?
A). \( \Large 3^{7} \) B). \( \Large 3^{12} \)
C). \( \Large 6^{7} \) D). \( \Large 9^{12} \)