SSC CGL 18th April 2022 Shift-1

The value of $$\frac{46+\frac{3}{4}of 32-6}{37-\frac{3}{4}of \left(34+6\right)}$$

The greatest number that divides 126, 124 and 608 leaving remainders 2, 7 and 19. respectively, is:

In the following figure, P and Q are centres of two circles. The circles are intersecting at points A and B. PA produced on both the sides meets the circles at C and D. If $$\angle CPB=100^{\circ}$$, then find the value of x.

A shopkeeper allows a 28% discount on the marked price of an article and still makes a profit of 30%. If he gains ₹39.90 on the sale of one article, then what is the marked price (to the nearest ₹) of the article?

If $$\left(x^{2} + \frac{1}{x^{2}}\right) = 23$$, x > 0 What is the value of $$\left(x^{3} + \frac{1}{x^{3}}\right)$$ =?

If $$A = 60^{\circ}$$, what is the value of:
$$\frac{\left[8\cos A + 7\sec A - \tan^{2} A\right]}{10 \sin \frac{A}{2}}$$

Two poles of heights 10 m and 17 m are fixed to a level ground. The distance between the bottom of the poles is 24 m.
What is the distance (in m) between their tops?

The given bar chart represents the Televisions Sets (TV) manufactured (in thousands) and
the respective percentage of those TV Sets sold by five different companies A, B, C, D and E in 2015.
Study the chart carefully and answer the question that follows .

What is the ratio of the number of TV sets sold by company A to that of company B in 2015?

A circle is inscribed in $$\triangle$$ ABC, touching AB, BC and AC at the points P, Q and R, respectively. If AB - BC = 4 cm, AB - AC = 2cm, and the perimeter of $$\triangle$$ ABC= 32 cm, then AC (in cm) = ?

If a + b - c = 5 and ab - be - ac = 10, then find the value of $$a^{2} + b^{2}+ c^{2}$$.