SSC CGL 8th Dec 2022 Shift-2

In $$\triangle$$ ABC and $$\triangle$$ PQR, AB = PQ and $$\angle B = \triangle Q$$. The two triangles are congruent by SAS criteria if:

Anuradha invests her money in a firm where the principal amount becomes 3 times in 10 years. What is the yearly rate of simple interest offered by the firm?

Study the given graph and answer the question that follows.
The number of appeared candidates and passed candidates (in hundreds) in a test from six different institutions.

The number of candidates who passed from institutions C and D together is approximately what percentage (rounded off to the nearest integer) of the total number of candidates who appeared from institutions B and E
together?

Two trains are moving in the opposite direction at the speed of 48 km/hr and 60 km/hr respectively. The time taken by the slower train to cross a man sitting in the faster train is 12 seconds. What is the length of the slower train?

A shopkeeper listed the marked price of a chair at a certain amount. If the shopkeeper declares a 15% discount and sold it at Rs.1,445, then what is the marked price?

In a factory, Ajay and Vijay work on the same machine to cut diamonds but on alternate hour basis. Ajay works for the first hour and then Vijay works for the second hour and so on. Ajay can complete the work in 6 hours, while Vijay completes it in 16 hours if they work individually. In how much time can they complete the work if they are using the machine on alternate basis?

In $$\triangle$$ ABC and $$\triangle$$ DEF, $$\angle A = 55^{\circ}$$, AB = DE, AC = DF,$$\angle E = 85^{\circ}$$ and $$\angle F = 40^{\circ}$$. By which property are $$\angle$$ ABC and $$\angle$$ DEF congruent?

John drives 250 km at 50 km/h and then he drives 350km at 70km/h. Find his average speed for the whole journey in km/h.

If $$y = 1 + \sqrt{3} + \sqrt{4}$$, then the value of $$2y^{4} - 8y^{3} - 6y^{2} + 28y - 84$$ is:

If two circles do not touch or intersect each other and one does not lie inside the other, then find the number of common tangents.