Question Text
Question 1 :
$ABCD$ is a square. A line $AX$ meets the diagonal $BD$ at $X$ and $AX=2018\ cm$ the length of $CX$ (in\ cm) is
Question 2 :
A diagonal of a rectangle is inclined to one side of the rectangle at $25^o$. Find the acute angle between the diagonals.
Question 3 :
A man sold a bicycle for an amount which was greater than $400$ by half the price he bought it for, and made a profit of Rs. $300$. How much did he buy the bicycle for?
Question 5 :
The four consecutive numbers add up to $74$. What are these integers?
Question 8 :
The value of $2\dfrac {1}{2} \times 10 - 4\dfrac {1}{3} \times 10$ is
Question 9 :
A computer is programmed to add $3$ to the number $N$, multiply the result by $3$, subtract $3$, and divide this result by $3$. The computer answer will be
Question 15 :
By what least number must 3600 be divided to make it a perfect cube?
Question 16 :
Find the value of cube root of the number $823$. (Round off your number to the nearest whole number)<br/>
Question 19 :
If $ab + bc + ca = 0$, then the value of $\displaystyle \frac{1}{a^{2}-bc}+\frac{1}{b^{2}-ca}+\frac{1}{c^{2}-ab}$ will be
Question 20 :
Consider the number $N=8\ 7\ a\ 2\ 7\ 9\ 3\ 1\ b$, where $b$ is a digit at unit's place and $a$ is a digit at ten lakh's place. Answer the following questions. <br/>The least value of $a$ for which $N$ is divisible by $12$ is
Question 21 :
Mark the correct alternative of the following.<br>How many times does the digit $9$ occur between $1$ and $100$?<br>