SSC CGL Tier-2 20-February-2018 Maths

If $$3x + 4y - 2z + 9 = 17, 7x + 2y + 11z + 8 = 23$$ and $$5x + 9y + 6z - 4 = 18$$, then what is the value of $$x + y + z - 34$$?

If $$x + 3y - \frac{2z}{4} = 6, x + \frac{2}{3}(2y + 3z) = 33$$ and $$\frac{1}{7}(x + y + z) + 2z = 9$$, then what is the value of $$46x +131y$$

In the given figure, in triangle STU, ST= 8 cm, TU = 9 cm and SU = 12 cm. QU = 24 cm, SR = 32 cm and PT = 27 cm. What is the ratio of the area of triangle PQU and area of triangle PTR?

In triangle XYZ, G is the centroid. If XY = 11 cm, YZ = 14 cm and XZ = 7 cm. then what is the value (in cm) of GM?

In the given figure, PQRS is a square inscribed in a circle of radius 4 cm. PQ is produced till point Y. From Y a tangent is drawn to the circle at point R. What is the length (in cm) of SY?

In a trapezium, one diagonal divides the other in the ratio 2 : 9. If the length of the larger of the two parallel sides is 45 cm, then what is the length (in cm) of the other parallel side?

In the given figure, CD and AB are diameters of circle and AB and CD are perpendicular to each other. LQ and SR are perpendiculars to AB and CD respectively. Radius of circle is 5 cm, PB : PA = 2 : 3 and CN : ND = 2 : 3. What is the length (in cm) of SM?

In the given figure, PQRS is a square of side 20 cm and SR is extended to point T. If the length of QT is 25 cm, then what is the distance (in cm) between the centres $$O_1$$ and $$O_2$$ of the two circles?

In the given figure, MNOP is a square of side 6 cm. What is the value (in cm) of radius of circle?

In the given figure, triangle PQR is a right angled triangle at Q. If PQ = 35 cm and QS = 28 cm, then what is the value (in cm) of SR?