SSC CGL 23rd August 2021 Shift-1

The area of a square shaped field is 1764 m$$^2$$. The breadth of a rectangular park is $$\frac{1}{6}$$th of the side of the square field and the length is four times its breadth. What is the cost (in ₹) of levelling the park at ₹30 per m$$^2$$ ?

A circle is inscribed in a quadrilateral ABCD, touching sides AB, BC CD and DA at P, Q, R and S,respectively. If AS = 6cm, BC = 12 cm, and CR =5 cm,then the length ofAB (in cm) is:

If x is a real quantity, whatis the minimum value of $$(25 \cos^2 x + 9 \sec^2 x)$$

If $$x + \frac{1}{x} = \frac{17}{4}, x > 1$$, then what is the value of $$x - \frac{1}{x}?$$

A boat covers a roundtrip journey between twopoints A and B ina river in T hours.If its speed in still water becomes 2 times, it would take $$\frac{80}{161}T$$ hours for the same journey. Find the ratio of its speed in still water to the speed of the river.

Select the most appropriate synonym of the given word.
Absolve

Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the right order to form a meaningful and coherent paragraph.
A. Information Communication Technology tools have brought in additional changes along with means of communication.
B. These changes have enabled man to communicate faster.
C. Communication has not only become faster but easier too.
D. The result is a more relaxed life than ever before.

Select the option that can be used as a one-word substitute for the given group of words.
The state of being subject to death

The following sentence has been divided into parts. One of them contains an error. Select the part that contains the error from the given options.
The army / marched fearless / towards / the enemy cantonment.

Select the most appropriate meaning of the given idiom.
On cloud nine