SSC CGL 23rd August 2021 Shift-2

If $$(x+6)^3+(2x+3)^3+(3x+5)^3=(3x+18)(2x+3)(3x+5)$$, then what is the value of x?

In triangle ABC, D and E are the mid points ofAB and BCrespectively. If area($$\triangle CED$$) = 8 cm$$^2$$, then what is the area(ADEC) in cm$$^2$$ ?

Radha bought a fridge and a washing machine together for ₹57300. She sold the fridge at a profit of 15% and washing machine at a loss of 24% and both are sold at the same price. The cost price of washing machine(in ₹) is:

If $$x^4+x^2y^2+y^4=21$$ and $$x^2+xy+y^2=3$$, then what is the value of $$\left(-xy\right)$$?

The average weight of students of section A and B having 40 students each is 45.5 kg and 44.2 kg respectively. Two students ofsection A having average weight 48.75 kg were shifted to section B and 2 students of section B were shifted to section A, making the average weight of both the sections equal, What is the average weight(in kg) of the students who were shifted from section B to section A?

A car can cover a distance of 144 km in 1.8 hours. In what time(in hours) will it cover double the distance when its speed is increased by 20% ?

In $$\triangle$$ABC, D is a point on BC such that $$\angle$$BAD = $$\frac{1}{2} \angle$$ADC and $$\angle$$BAC = 77$$^\circ$$ and $$\angle$$C = 45$$^\circ$$. What is the measure of $$\angle$$ADB?

A square has the perimeter equal to the circumference of a circle having radius 7 cm. What is the ratio of the area of the circle to area of the square?(Use $$\pi = \frac{22}{7}$$)

If $$x + \frac{1}{x} = 2\sqrt{5}$$, then what is the value of $$\frac{\left(x^4 + \frac{1}{x^2}\right)}{x^2 + 1}$$?

The value of $$423 \div \left[270 \div \frac{3}{7} \times 35 + \left(17 \div \frac{1}{3}\right) - \left(8\frac{1}{2} - \frac{5}{2}\right)\right]$$ is: