SSC CGL Tier l 2023 Question Paper Shift 2 (July 14th)

In a race around a circular cycling track of 75 km, two cyclists are riding at a speed of 30 km/h and 25 km/h. After what time (in hours) will they meet at the point from where they started their journey?

P is two times more efficient than Q. P is able to complete a piece of work in 40 days less than Q. Working together, the whole number of days taken by them to complete the work is:
(Round off to the nearest integer)

In an election, 2% persons enrolled in the voter list did not participate and 500 votes were invalid. Two candidates A and B fought the election, and A defeated B by 200 votes. If 43% of the persons enrolled in the voter list casted their votes in favour of A, then what is the number of the total casted votes?

Evaluate the following.
$$\sin 25^\circ \sin 65^\circ - \cos 25^\circ \cos 65^\circ$$.

Study the given pie chart and answer the question that follows.

The population of village D in 2020 was 10,500. What was the population of village A in 2020? Total population of these six villages is 100%.

What is the value of $$64 x^3 + 38x^2y + 20xy^2 + y^3$$, when x = 3 and y = -4?

X and Y can complete a work in 9 days and 36 days, respectively. X begins to do the work and they work alternately one at a time for one day each. The whole work will be complete in:

A shopkeeper uses 940 gm weight in place of one kg weight. He sells it at 4% profit. What will be the actual profit percentage? (rounded off to two decimal places)

If D is the midpoint of BC in $$\triangle ABC$$ and $$\angle A = 90^\circ$$, then AD = _______.

In what ratio must water be mixed with milk, costing ₹32 per litre, in order to get a mixture costing ₹28 per litre?