Special Quant Quiz (Miscellaneous) SSC CGL Tier-II 2016

S1. Ans.(a)
Sol. Let the M.P of 1000 gm sugar = 100 Rs.
S.P of 1000 gm of sugar = 80 Rs. (20% discount %)
But the trader give 960 gm (4% less) amount instead of 1000 gm.
Effective discount = (100 –  80/.96  )/100×100%
= 16/96 × 100%
= 16(2/3)%
 S3. Ans.(d)
Sol. Let the present age of man = P
According to the question,
125% (P – 10) = 831/3% (P + 10)
5/4 (P – 10) = 5/6 (P + 10)
6P – 60 = 4P + 40
2P = 100
⇒ P = 50

Q5. Find the value of tan70°.
(a) tan 40° + tan 30°
(b) 2tan 40° + tan 30°
(c) tan 50° + tan 20°
(d) 2tan 50° + tan 20°
Q6. Evaluate : 3 cos 80° cosec 10° + 2 cos 59° cosec 31°
(a) 1
(b) 3
(c) 2
(d) 5
Q9. A pole stands vertically inside a scalene triangular park ABC. If the angle of elevation of the top of the pole from each corner of the park is same, then in ABC, the foot of the pole is at the
(a) centroid
(b) circumcentre
(c) incentre
(d) orthocentre
S9. Ans.(b) 
Sol. It should be on circumcentre.   
Q10. From an aeroplane just over a river, trees( having same height) on the opposite bank of the river are found to be at an angle of 60° and 30° respectively. If the breadth of the river is 400 metres, then the height of the aeroplane above the river at that instant is (Assume √3 = 1.732)
(a) 173.2 metres
(b) 346.4 metres
(c) 519.6 metres
(d) 692.8 metres
Q11. A copper wire is bent in the form of an equilateral triangle and has area 121√3  cm^2. If the same wire is bent into the form of a circle the area (in cm^2) enclosed by the wire is (take π=22/7)
(a) 364.5
(b) 693.5
(c) 346.5
(d) 639.5
Q12. One of the four angles of a rhombus is 60°. If the length of each side of the rhombus is 8 cm, then the length of the longer diagonal is
(a) 8√3 cm
(b) 8 cm
(c) 4√3 cm
(d) 8/√3 cm
Q13. Through each vertex of a triangle, a line parallel to the opposite side and cut the other lines in a middle point is drawn. the ratio of the perimeter of the new triangle thus formed, with that of the original triangle is
(a) 3:2
(b) 1:2
(c) 2:1
(d) 2:3
Q14. The area enclosed between the circumference of two concentric circles is 16𝜋 sq cm and their radii are in the ratio 5:3. What is the area of the outer circle?
(a) 9𝜋 sq cm
(b) 16𝜋 sq cm
(c) 25𝜋 sq cm
(d) 36𝜋 sq cm
Q15. A rectangle cardboard is 18 cm × 10 cm. From the four corners of the rectangle, quarter circles of radius 4 cm are cut. What is the perimeter (approximate) of the remaining portion?
(a) 47.1 cm
(b) 49.1 cm
(c) 51.0 cm
(d) 53.0 cm


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