SSC CPO 9th Dec 2019 Shift-1

A person has to travel a distance of 30 km. He finds that he has covered $$\frac{5}{6}$$ of the distance in 3 hours and 20 minutes. what is his speed in km/h?

$$(4x^3y - 6x^2y^2 + 4xy^3 - y^4)$$ can be expressed as:

The ratio of two numbers is 3 : 5. If eight is added to the first, and seven to the second, then the ratio becomes 2 : 3.
What will be the ratio becomeif six is added to each?

Out of the two bar graphs provided below, one shows the amounts (₹ in Lakhs) invested by a company in purchasing raw materials over the years and the other shows the values (₹ in Lakhs)of finished goods sold by the company over the years.

What was the difference between the average amount invested in raw materials during 1997 to 2000 and the average value of sales of finished goods during the same period 1997 to 2000?

The monthly salary of a person was ₹50,000. He used to spend on three heads- personal and family expenses (E), taxes (T), philanthropy (P), and rest were his savings. E was 50% of the income, T was 20% of E and P was 15% of T. When his salary got raised by 40%, he maintained the percentage level of E, but T became 30% of E and P became 20% of T. By whatpercentage is the new savings more or less than the earlier savings? (correct up to one decimal place)

A cylinder 84 cm long is made of steel. Its external and internal diameters are 10 cm and 8 cm respectively. What is the volume of the steel in the cylinder (in $$10^{-3}m^3$$ and correct up to three decimalplaces)?

The given histogram represents the frequency distribution of average runs scored by 50 selected players from a district in a local cricket tournament.

Which class of boundaries does the frequency of ‘10’ correspond to?

PQRS is a rectangle. T is a point on PQ such that RTQ is an isosceles triangle and PT = 5 QT.If the area of triangle RTQ is $$12 \sqrt{3}$$ sq.cm, then the area of the rectangle PQRS is:

If $$0 \leq \theta \leq 90^\circ$$, and $$\sec^{107} \theta + \cos^{107} \theta = 2$$, then $$(\sec \theta + \cos \theta)$$ is equal to:

What is the simplified value of
$$\left(1 - \frac{1}{4 - \frac{2}{1 + \frac{1}{\frac{1}{3} + 2}}}\right) \times \frac{15}{16} \div \frac{2}{3} of 2\frac{1}{4} - \frac{3 + 4}{3^3 + 4^3}$$