SSC CGL 2nd Dec 2022 Shift-1

If $$\sec^{2}A+\tan^{2}A=\frac{4}{17}$$, then $$\sec^{4}A-\tan^{4}A$$ is equal to:

What is the single percentage discount equivalent to two successive discounts of 15% and 5%?

A thief is noticed by a policeman from a distance of 97 m. The thief starts running and the policeman chases him. The thief and the policeman run at a speed of 21 m/sec and 23 m/sec respectively. What is the time taken by the policeman to catch the thief?

If 6 women can complete a work in 3 days, and 9 girls can complete the same work in 2 days, then find the time taken to complete the same work by 8 women and 6 girls?

If $$cot\ x - tan \ x = \frac{3}{2}$$, then what will be the value of $$cot\ x + tan \ x$$ ?

A hemispherical bowl made of iron has inner diameter 84 cm. Find the cost of tin plating it on the inside at the rate of ₹21 per 100 $$cm^{2}$$ (Take $$\pi=\frac{22}{7}$$) correcllo two places of decimal.

A sum of Rs.6,000 is to be paid back in two equal annual instalments; each instalment is to be paid at the end of every year. How much is each instalment if the interest is compounded annually at 2% p.a.? (Rounded off up to two decimal places)

A pen was sold for Rs.166.44 with a profit of 14%. If it were sold for Rs.154.76, then what would have been the percentage of profit or loss?

Simplify $$x+3(y+x-2)-(x+y)$$

A mixture of milk and water measures 60 litres. It contains 10% water. How much water should be added to it, so that the water may be 25%?