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

Instructions

For the following questions answer them individually

Question 21

If $$x^{y+z} = 1, y^{x+z} = 1024$$ and $$z^{x+y} =729$$(x, y and z are natural numbers), then what is the value of $$(z + 1)^{y+x+1}$$?

Video Solution
Question 22

If $$x + y + z = 1, x^2 + y^2 + z^2 = 2$$ and $$x^3 + y^3 + z^3 = 3$$,then what is the value of $$xyz$$?

Video Solution
Question 23

In triangle $$PQR$$, the internal bisector of $$\angle Q$$ and $$\angle R$$ meets at O. If $$\angle QPR$$ = 70°, then what is the value (in degrees) of $$\angle QOR$$?

Video Solution
Question 24

$$PQR$$ is a triangle such that $$PQ = PR$$. $$RS$$ and $$QT$$ are the median to the sides $$PQ$$ and $$PR$$ respectively. If the medians $$RS$$ and $$QR$$ intersect at right angle, then what is the value of $$\left(\frac{PQ}{QR}\right)^2$$?

Video Solution
Question 25

PQR is a triangle. S and T are the midpoints of the sides PQ and PR respectively. Which of the following is TRUE?
I. Triangle PST is similar to triangle PQR.
II. ST = $$\frac{1}{2}$$(QR)
III. ST is parallel to QR.

Video Solution
Question 26

ABC is a triangle in which $$\angle$$ABC = 90°. BD is perpendicular to AC. Which of the following is TRUE?
I. Triangle BAD is similar to triangle CBD.
II. Triangle BAD is similar to triangle CAB.
III. Triangle CBD is similar to triangle CAB.

Video Solution
Question 27

Two parallel chords are one the one side of the centre of a circle. The length of the two chords is 24 cm and 32 cm. If the distance between the two chords is 8 cm, then what is the area (in cm$$^2$$) of the circle?

Video Solution
Question 28

Two circles of radius 4 cm and 6 cm touch each other internally. What is the length (in cm) of the longest chord of the outer circle, which is also a tangent to inner circle?

Video Solution
Question 29

In the given figure, PT is a common tangent to three circles at points A, B and C respectively. The radius of the small, medium and large circles is 4 cm, 6 cm and 9 cm. $$O_1, O_2$$ and $$O_3$$ are the centre of the three circles. What is the value (in cm) of PC?

Video Solution
Question 30

PQRS is a cyclic quadrilateral. PR and QS intersect at T. If $$\angle$$SPR = 40° and $$\angle$$PQS = 80°, then what is the value (in degrees) of $$\angle$$PSR?

Video Solution
cracku

Boost your Prep!

Download App