CUET Mathematics Mock Test - 4

The system of equations $7x+9y=15$ and $14x+18y=30$ has:

Find the area of a triangle with vertices at points $A(1,1)$, $B(6,0)$, and $C(3,2)$.

Mrs. Shivani takes a loan of $\text{₹}10,00,000$ with a $10\%$ annual rate of interest for 5 years. The EMI under the flat rate system is:

Find the value of $\det (2^{2}A)$ for the following matrix:
$$A=\left[\begin{array}{ccc}2& 3& 1\\ -1& 0& 2\\ -3& 1& 2\end{array}\right]$$

The index number calculated for the data below by simple weighted aggregate method is 110.| Item | Price (Current) | Price (Base) | Weights || :--- | :--- | :--- | :--- || A | $p$ | 4 | 60 || B | 3 | 2 | $q$ || C | 2 | 3 | 40 |Given $60p+3q=360$, then the value of $p$ will be: