SSC CGL Tier-2 19-February-2018 Maths

If $$3x + 4y - 11 = 18$$ and $$8x - 6y + 12 = 6$$, then what is the value of $$5x - 3y - 9$$?

If $$a + b + c = \frac{7}{12}, 3a - 4b + 5c = \frac{3}{4}$$ and $$7a - 11b - 13c = \frac{-7}{12}$$, then what is the value of $$a + c$$?

In the given figure, $$PQ = PS = SR$$ and $$\angle QPS = 40^\circ$$, then what is the value of $$\angle QPR$$ (in degrees)?

In triangle $$PQR, C$$ is the centroid. $$PQ$$ = 30 cm, $$QR$$ = 36 cm and $$PR$$ = 50 cm. If $$D$$ is the midpoint of $$QR$$, then what is the length (in cm) of $$CD$$?

In the given figure, $$AQ = 4\surd2$$ cm, $$QC = 6\surd2$$ cm and $$AB$$ = 20 cm. If $$PQ$$ is parallel to $$BC$$. then what is the value (in cm) of $$PB$$?

In the given figure, if AD = 12 cm, AE = 8 cm and EC = 14 cm, then what is the value (in cm) of BD?

Two circles are having radii 9 cm and 12 cm. The distance between their centres is 15 cm. What is the length (in cm) of their common chord?

Two circles touch each other at point X. Two common tangents of the circles meet at point P and none of the tangents passes through X. These tangents touch the larger circle at points B and C. If the radius of the larger circle is 15 cm and CP = 20 cm, then what is the radius (in cm) of the smaller circle?

Two circles touch each other at point X. A common tangent touch them at two distinct points Y and Z. If another tangent passing through X cut YZ at A and XA= 16 cm, then what is the value (in cm) of YZ?

There are 8 equidistant points A, B, C, D, E, F, G and H (in same order) on a circle. What is the value of $$\angle FDH$$ (in degrees)?