SSC CGL 3rd March 2020 Shift-2

When 200 is divided by a positive integer x , the remainder is 8. How many values of x are there?

If $$x^2 - 3x + 1 = 0$$, then what is the value of $$x^6 + \frac{1}{x^6}$$?

Anu fixes the selling price of an article at 25% above its cost of production. If the cost of production goes up by 20% and she raises the selling price by 10%, then her percentage profit is (correct to one decimal place):

A and B start moving towards each other from places X and Y, respectively, at the same time. The speed of A is 20% more than that of B. After meeting on the way, A and B take  $$2\frac{1}{2}$$ hours and x hours, now to reach Y and X, respectively. What is the value of x ?

A dealer marks an article 40% above the cost price and sells it to a customer, allowing two successive discounts of 20% and 25% on the marked price. If he suffers a loss of ₹ 140, then the cost price (in ₹) of the article is:

In the sentence identify the segment which contains the grammatical error.
The modern man is busy acquiring more and more wealth and designing ways to invest it in more sense pleasures.

Select the most appropriate word to substitute the underlined word of the given sentence. If no substitution is required, select ‘No improvement’.
There is a great degrade in values in modern age.

Select the most appropriate word to fill in the blank.
It is an ______ day to start your new business.

Select the synonym of the given word.
PATHETIC

Select the antonym of the given word.
HILARIOUS