SSC CGL Tier-2 9-March-2018 Maths-shift-1

Instructions

For the following questions answer them individually

Question 31

In the given figure, $$\angle PSR$$ = 105° and $$PQ$$ is the diameter of the circle. What is the value (in degrees) of $$\angle QPR$$?

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Question 32

There are two identical circles of radius 10 cm each. If the length of the direct common tangent is 26 cm, then what is the length (in cm) of the transverse common tangent?

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Question 33

PQRS is a rectangle in which side of PQ = 24 cm and QR = 16 cm. T is a point on RS. What is the area (in cm) of the triangle PTQ?

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Question 34

In the given figure. ABCD and BEFG are squares of sides 8 cm and 6 cm respectively. What is the area (in cm$$^2$$) of the shaded region?

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Question 35

PQRS is a parallelogram and its area is 300 cm$$^2$$. Side PQ is extended to X such that PQ = QX. If XS intersects QR at Y, then what is the area (in cm$$^2$$) of triangle SYR?

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Question 36

PQRST is a regular pentagon. If PR and QT intersects each other at X, then what is the value (in degrees) of $$\angle$$TXR?

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Question 37

In the given figure, ABCDEF is a regular hexagon whose side is 12 cm. What is the shaded area (in cm$$^2$$)?

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Question 38

ABCD passes through the centres of the three circles as shown in the figure. AB = 2 cm and CD = 1 cm. If the area of middle circle is the average of the areas of the other two circles, then what is the length (in cm) of BC?

Video Solution
Question 39

A = Area of the largest circle drawn inside a square of side 1 cm.
B = Sum of areas of 4 identical (largest possible) circles drawn inside a square of side 1 cm.
C = Sum of areas of 9 identical circle (largest possible) drawn inside a square of side 1 cm.
D = Sum of area of 16 identical circles (largest possible) drawn inside a square of side 1 cm.

Which of the following is TRUE about A, B, C and D?

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Question 40

A prism has a square base whose side is 8 cm. The height of prism is 80 cm. The prism is cut into 10 identical parts by 9 cuts which are parallel to base of prism. What is the total surface area (in cm$$^2$$) of all the 10 parts together?

Video Solution
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