SSC CGL 21st April 2022 Shift-3

If a 10-digit number 54726$$x$$79y6 is divisible by 72, then what is the value of 5$$x$$ - 3y, for the least value of y?

If $$\left(a+ \frac{1}{a}+3\right)^{2}=16$$, where a is a non-zero real number, then find the value of $$a^{2}+ \frac{1}{a^{2}}$$.

Find the value of the following expression:
-5 + 5 + 625$$\div$$ 5 $$\times$$5

The following pie charts show the number of students studying in different departments of an institute during the academic years 2019 and 2020. The total number of students was 2000 and 2400, respectively, in academic years 2019 and 2020.
What is the ratio of Commerce and Computer Science students taken together in 2019 to Engineering and Medical students taken together in 2020?

Three partners X, Y and Z started their business by investing ₹40,000, ₹38,000 and ₹38,000, respectively. After 6 months, X and Z made additional investments of ₹20,000 and ₹15,000 respectively, whereas Y withdrew ₹8.000. Find the share of Y (in ₹) in the total profit of ₹38,880 made at the end of the year.

Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’.
As it was getting late Lata leave the party midway.

Select the most appropriate meaning of the given idiom.
Cat’s paw

Select the option that can be used as a one-word substitute for the given group of words.
A four-footed animal

The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
I find that / I get myself tired / very easily / these days.

Sentences of a paragraph are given below. While the first and the last sentences are in correct order, the sentences in between are jumbled up. Arrange the sentences in the right order to form a meaningful and coherent paragraph.
S1. Ram Mohan was a lover of his country.
P. David said that it would be a good plan to have an English school and college.
Q. He was talking with David about uplifting the mind of Indians.
R. So, he also thought that this subject was very interesting.
S. David also had a strong bond with India.
S6. Indians and Europeans met next year to put this idea into shape.