SSC Selection Post 2023 Graduation Level Question Paper (28 Jun, 2023) (Shift 3)

If $2a+b=10$ and $2ab=9$, then one of the values of $2a-bis$:

In a sale, a shop is giving discount as per the following scheme:$10\%$ discount on clothes, $12\%$ on groceries, $15\%$ on stationery and $20\%$ on footwear. Anjali bought a packet of tea, a notebook and bathroom slippers whose marked prices are $\text{₹}450$, $\text{₹}100$ and $\text{₹}850$, respectively. How much amount (in ₹) does she have to pay?

If $x>1$, and $x^2+\frac{1}{x^2}=25$, what is the value of $x^4-\frac{1}{x^4}$?

What is the value of $\cos 1^{\circ }\cdot \cos 2^{\circ }\cdot \cos 3^{\circ }\dots \cos 177^{\circ }\cdot \cos 178^{\circ }\cdot \cos 179^{\circ }$

The present age of a husband and wife is in the ratio $5:4$. After $6\text{ years}$ their ages will be in the ratio $6:5$. At the time of their marriage the ratio of their ages was $4:3$. How many years ago were they married?