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Mathematics : Real Numbers

Short Answer Type

131. Use Euclid’s division lemma. Show that the cube of any positive integer is of the form 9q, 9q + 1 or 9q + 8 for some integer q.

131 Views

132. Write whether the rational number

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will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

117 Views

133. Show that the square of any positive add integer is of the form 8w + 1. for some integer m.

112 Views

134. Show that the square of any positive add integer is of the form 8w + 1. for some integer m.

106 Views

135.

Prove that $7 plus 3 space square root of 2$ is an irrational number.

161 Views

Multiple Choice Questions

136. The H.C.F. of 135 and 225 is

159 Views

137.

13 over 3125 space

is a

terminating decimal
non-terminating decimal
non-terminating repeating decimal
non-terminating repeating decimal

107 Views

138. If

straight P over straight q

is a terminating decimal what can you say about q?

q must be in the form 2ⁿ. 5^m
q must be in the form 5^m
q must be in the form 2ⁿ
q must be in the form 2ⁿ

117 Views

139.

space space space 3 plus 2 square root of 5

is a

rational number
irrational number
both (a) and (b)
both (a) and (b)

136 Views

140. 6ⁿ; n ∊ N cannot end with digit

130 Views