SSC CGL 8th Dec 2022 Shift-4

In the following figure, if l $$\parallel$$ m, then find the measures of angles marked by a and b.

The radius of a circle with centre at O is 6 cm and the central angle of a sector is $$40^{}$$.
Find the area of the sector.

A and B can complete a piece of work in 13 and 17 days respectively. A begins to do the work, and they work alternatively one at a time for one day each. The whole work will be completed in:

Nihit starts a business with Rs.700. After 5 months Amit and Patel joined him with Rs.300 and Rs.400 respectively. At the end of the year, the business gave a profit of Rs.627. Find the share of Patel in the profit.

There are two circles which touch each other externally. The radius of the first circle with centre O is 17 cm and radius of the second circle with centre A is 7 cm. BC is a direct common tangent to these two circles, where B and C are points on the circles with centres O and A, respectively. The length of BC is:

In a $$\triangle$$ PRQ, AB is drawn parallel to QR, cutting sides at A and B where length of PQ = 6cm, length of QR = 8cm and length of QA = 3cm. What is the length of AB?

The pie chart given below shows the number of boys in 8 schools. The total number of boys in all these 8 school is 10,000. Number of boys in a particular school is shown as a percent of total number of boys in all these 8 schools.

What is the ratio of total central angle formed by sector C, D and F to the total central angle formed by sector A, G and H?

If $$x + \frac{1}{x}= 2\sqrt{5}$$ where x > 1, then the value of $$x^{3}\frac{1}{x^{3}}$$

If 7-digit number 678p37q is divisible by 75 and p is not a composite, then the values of p and q are:

If $$\tan A \tan B + \frac{\cos x}{\cos A cos B} = 1$$, then $$x=$$?