SSC CHSL 5th August 2021 Shift-1

The speed of a train is 78 km/h. It crosses a tunnel in 45 sand overtakes a person walking at a speed of 6 km/h. in the same direction, in 15s. The length (in m) of the tunnel is:

A bag courains coins of denomination ₹1, ₹2 and ₹5 in the ratio of 4 : 5 : 8. If the total value of these coins is ₹432, then what is the mmiber of ₹2 coins?

A chord PQ of a circle $$C_1$$ of radius 9.25 cm touches another circle $$C_2$$ that is concentric to $$C_1$$, and the radius of $$C_2$$ is 3 cm. What is the length (in cm) of PQ?

In an isosceles triangle ABC, AB = AC and AD is perpendicular to BC. If AD = 12 cm and the perimeter of $$\triangle ABC$$ is 36 cm. then the length of BC (in cm) is:

The price of a commodity increases by 28%. However, the expendimre on it increases by 12%. What is the percentage increase or decrea se in its consumption?

The coefficient of $$x^3y$$ in $$(x - 2y) \times (5x + y)^3$$ is:

A can complete a work in 20 days. while B can complete the same work in 25 days. Both worked togerher for 10 days and then C alone completed the remainuig work in 10 days. In how many days will A, B and C together complete the same work?

The average height of a certain number of students in a group is 155.6 cm. If 12 students having an average height of 150.5 cm join the group and students having an average height of 159 cm leave the group, the average height of the students in the group will decrease by 34 mm . What is the number of students. initially, in the group?

If $$\cos \theta = \frac{3}{2}$$, then the value of $$\frac{2 - \sin^2 \theta}{1 - \cot^2 \theta} + (\sec^2 \theta + \cosec \theta)$$ is:

Study the given graph which shows the number of workers with their daily wages and answer the question that follows.

What is the ratio of the total number of workers whose daily wages are ₹450 or above but less than ₹500 to the total number of workers whose daily wages are ₹650 or above?