SSC CGL Tier l 19th July 2023 Shift-1

In a 1170 m race, Raman reaches the final point in 65 seconds and Mohan reaches the final point in 90 seconds. By how much distance does Raman beat Mohan?

It takes A and B, 3 and 6 hours, respectively, to complete a certain work. If they work on the alternate hour. How long will it take them to accomplish the task?

Two chords of a circle, $$\overline{AB}$$ and $$\overline{CD}$$, meet outside the circle at the point P. If $$m (\overline{AP}) = 200 mm, m(\overline{AB}) = 120 mm$$, and $$m(\overline{CP}) = 160 mm$$, what is the length of $$\overline{CD}$$?

Two circles of same radius 6 cm, intersect each other at P and Q. If PQ = 10cm, then what is the distance between the centres of the two circles?

Find the value of $$\sin \theta + \cos \theta)^{2} + (\sin \theta - \cos \theta)^{2}$$.

A grocer claims that he is selling sugar at ₹48/kg, which costs him ₹50/kg, but he is giving 900 g instead of 1000 g. What will be the approximate percentage profit?

Which of the following numbers is divisible by 36 ?

Find the length of the arc of the sector of a circle of diameter 7 cm with a central angle of $$108^{\circ}$$. [Use $$\pi = \frac{22}{7}$$]

How much simple interest will ₹6,000 earn in 21 months at 8% per annum?

A varies directly as (B + 18) and A = 108 when B = 36. Find the value of A when B = 68.