SSC CGL 12th Dec 2022 Shift-3
For the following questions answer them individually
If two circles of radii 18 cm and 8 cm touch externally, then the length of a direct common tangent is:
A person deposited ₹15,600 in a fixed deposit at 10% per annum simple interest. After every second year he adds his interest earned to the principal. The interest at the end of 4 years is:
A watch is sold at a profit of 25%. Had it been sold for Rs.120 less then, there would have been a less then of 15%. What is the cost price in rupees?
Area of the floor of a cubical room is 64 m$$^2$$. The length of the longest rod that can be kept in the room is:
In a proportion, the $$1^{st}, 2^{nd}$$ and $$4^{th}$$ terms are 51, 68 and 108, respectively. What is the $$3^{rd}$$ term?
The pie chart given below shows the marks obtained by student Q in 6 different subjects. The total marks obtained by the student in these subjects is 700. Marks obtained in a particular subject is shown as a percent of total marks obtained in all these 6 subjects.
What is total marks obtained in Q, S and U?
What is the ASA congruence rule of triangles, where A and S represents angle and side of triangle respectively?
If $$2\sin \theta + 2 \sin^2 \theta = 2$$, then the value of $$2 \cos^4 \theta + 2 \cos^2 \theta$$ is:
Some students went on a field trip. At a speed of 6 km/h, they travelled by bikes for 2 hours; then at a speed of 2 km/h, they walked for another hour; then they took rest for an hour and had lunch for half an hour; then at a speed of 1 m/s, they walked for an hour to visit a garden; and finally at a speed 4 km/h, they returned home in 3 hours. Their average speed, in km/h, (rounded off to two places of decimal) is:
