CUET Mathematics Mock Test - 2

The value of $k$ for which the system of equations $x+ky+3z=0$, $4x+3y+kz=0$, $2x+y+2z=0$ has a non-trivial solution is:

Using the base year 1985, the index number calculated by the simple aggregate method for four items (A, B, C, D) is $125$. Given:Prices in 1985: $75,85,\alpha ,100$ Prices in 1986: $90,115,75,\beta$ Find the value of $(4\beta -5\alpha )$.

Let $k$ be the order of $a(\mathrm{mod}n)$, then $a^b\equiv 1(\mathrm{mod}n)$ if and only if:

Which of the following statement is true regarding sinking fund and saving account?

If $|3x-5|\le 2$, then: