SSC CGL Tier l 2023 Question Paper Shift 3 (July 18th)

In a constituency, 90% of the total number of people on the electoral roll cast their votes during an election. 15% of the votes cast were declared invalid. Jeeta secured 60% of the valid votes. If Jeeta secured 91,800 valid votes, what was the total number of people on the electoral roll?

12 men and 16 boys can do a piece of work in 5 days, while 13 men and 24 boys can do it in 4 days. In how many days can 29 men and 22 boys complete the work?

A bag contains ₹550 in the form of 50 p, 25 p and 20 p coins in the ratio 2: 3: 5. The difference between the amounts that are contributed by the 50 p and the 20 p coins is:

The distance between the centres of two circles having radii 16 cm and 8 cm, is 26 cm. The length (in cm) of the direct common tangent of the two circles is:

Find the area of the sector of a circle with radius 5 cm and angle $$60^{\circ}$$ (rounded off to one decimal).

Solve the following expression. $$(-25) \times 8 + (-25) \times 2$$

The product of 277 and 323 is:

If $$\cos x = - \frac{1}{2}$$, $$x$$ lies in third quadrant, then $$\tan x =$$ ?

A person took a loan at 5% per annum simple interest during the first year and with an increase of 0.5% simple interest every year from the second year onwards. After 4 years, he paid ₹4,600 as a total interest to settle the loan completely. How much was the loan?

Using $$\cos (A + B) = \cos A \cos B - \sin A \sin B$$, find the value of $$\cos 75^{\circ}$$.