Tag: maths

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Questions Related to maths

Multiple choice maths fun with numbers some special sequences triangular numbers properties and patterns of perfect squares

When we combine two consecutive triangular numbers, we get a __________.

  1. square number

  2. consecutive number

  3. non square number

  4. zero
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Triangular numbers are obtained by continued summation of natural numbers $1,2,3,4,5,6,7,.....$ 

$\therefore$ Set of triangular numbers is $1,3,6,10,15,21,28.....$
When we add two triangular numbers we get a Square number. 

For example, $1+3=4=2^2$,   $3+6=9=3^2$,   $6+10=16=4^2$ and so on.....
Hence, option A is correct.

Multiple choice maths fun with numbers some special sequences triangular numbers properties and patterns of perfect squares

Having $5$ at units place, find the square of the number $185$.

  1. $34225$
  2. $48034$
  3. $15620$
  4. $83450$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$185$ $=$ $(200-15)$

$185^{2}$ $=$ $(200-15)^{2}$
$(200-15)^{2}$ $=$ $200^{2}$ $+$ $15^{2}$ $-$ $2\times200\times15$
$185^{2}$ $=$ $40000$ $+$ $225$ $-$$6000$
$185^{2}$ $=$ $34225$
Hence, Option A is correct.