SSC CGL 13th August 2021 Shift-2

The following pie charts represent the distribution of candidates who were enrolled for a competitive examination, and the candidates (out of those enrolled) who passed the exam from five different institutes P, Q, R, S and T.

What is the ratio of the total number of candidates enrolled in institutes Q, R and S together, to the number of candidates passed from the institutes Q, R and S together?

In a triangle ABC AB : AC = 5 : 2, BC =9 cm. BAis produced to D.and the bisector of the Angle CAD meets BC produced at E. Whatis the length (in cm) of CE?

Eighteen persons working 8 hours a day can complete 3 units of work in 10 days. How many days are required by 25 persons to complete 5 units of work working 6 hours a day?

If length of a rectangle is increased to its three times and breadth is decreased to its half. then the ratio of the area of given rectangle to the area of new rectangle is:

If $$2 \cos^2 \theta = 3 \sin \theta, 0^\circ < \theta < 90^\circ$$, then the value of $$(sec^2 \theta - \tan^2 \theta + \cos^2 \theta)$$ is:

Select the most appropriate option to fill in the blank.
Help from relatives ______ him in difficult times.

Select the most appropriate synonym of the given word.
Dedicated

Select the most appropriate option to fill in the blank.
The interviewer asked Gautam, “Can you tell me what your ______ in life are?”

Select the option that can be used as a one-word substitute for the given group ofwords.
A self-governing country or region

The following sentence has been split into four segments. Identify the segment thatcontains a grammatical error.
The woodcutter felled / some trees / with hardly / many effort at all.