SSC-CGL Solved Paper Mar 4, 2020, Shift 1

If $\displaystyle 5x + \frac {1}{3x} = 4$, then $\displaystyle 9x^2 + \frac{1}{25x^2}$ =?

ABCD is a cyclic quadrilateral in which AB = 16.5 cm, AD = 11 cm and CD = 19.8 cm. If AC bisects BD, then what is the measure of BC?

If numbers (2x+1), (x+2), 2 and 5 are in proportion, then mean proportion of 3.5(1-x) and 8(1+x) is?

A seller gives a discount of 18% on MRP. By how much percentage above CP, should he mark up so as to gain 6.6% profit on the cost price?

If a + b + c = 11, ab + bc + ca = 3 and abc = -135, then a³ + b³ + c³ =?

If secθ - tanθ = x/y, find the value of sinθ?

A sum of Rs 12000 is given at 8% per annum for 2-5/8 years, compounded annually. Find out the compound interest for the given time period.

Sushma bought 12 tables and 9 chairs for Rs.15,400. She sold the tables at a profit of 10% and the chairs at a profit of 20%. If her total gain was . . .

A shopkeeper gives two successive discounts of 25% and 20% respectively and still earns 20% profit. If no discount was given by the shopkeeper, then . . .

In a right-triangle ABC, angle A = 90 degree, AB = 7cm, AC = 24cm. M is the mid-point of BC and AD⊥BC. Find AM : AD?

In triangle ABC, ∠C = 68°, ∠B = 32°. The external angle bisectors of ∠B and ∠C meet at point O. Find ∠BOC.

In a triangle ABC, AB = AC. A circle is drawn from vertex B such that it touches the side AC at D (where D is the mid-point of AC) and it cuts the s . . .

When 732 is divided by x, the remainder is 12. How many such values of x are possible?

If 5 sin²θ + 14 cosθ = 13, then (secθ - tanθ)/(secθ + tanθ)=?

A can do a work in 30 days. Efficiency of B is 25% more than A and efficiency of C is 20% more than B. They work together for 3 days. In how many da . . .

A person can save 15% of his income. If his income increases by 20% and still he saves the same amount as before, the percentage increase in his exp . . .

A conical tent of circular base with perimeter 66m and height 36m is made of canvas. Find the area of canvas required to make the tent.

If $\displaystyle 5x + \frac {1}{3x} = 4$, then $\displaystyle 9x^2 + \frac{1}{25x^2}$ =?