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Quantitative Aptitude of Advanced Level For SSC CGL : 15th January 2020 for Ratio, mensuration and Algebra

In Today's Maths Quiz we are providing latest pattern questions based on the topics of Ratio, mensuration and Algebra

Q1. Ratio between the no. of sides and each interior angles for two regular polygons are 5 : 6 and 24 : 25 then what are the no. of sides of all those polygons?
(a) 20, 24
(b) 25, 18
(c) 10, 12
(d) 5, 6

Q2. A regular hexagon is formed after cutting the vertices of an equilateral ∆ of side 12 cm. find out the area of this hexagon (is cm²)?

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Q3. is simplified to
(a) 0
(b) 1
(c) 2
(d) 3

Q4. A circle is circumscribed by the rhombus which in turn is made up by joining the mid points of a rectangle whose sides are 24 cm and 32 cm respectively. What is the area of the circle?

Q5. A man is watching from the top of a tower at a boat speeding away from the tower. The boat makes an angle of depression of 45° with the man’s eye when at a distance of 100m from the bottom of tower. After 5s, the angle of depression becomes 30°. What is the approximate speed of the boat assuming that it is running in still water(in km/h)?
(a) 52.92
(b) 49.96
(c)61.23
(d) 46.66

Q6. The radius of circle is so increased that its circumference increased by 5%. The area of the circle then increases by
(a) 12.5%
(b) 10.25%
(c) 10.5%
(d) 11.25%

Q7. The diagonal of a square is 4 √2 cm. Find the diagonal of another square whose area is double that of the first square is
(a) 8 cm
(b) 8 √2 cm
(c) 4 √2 cm
(d) 16 cm

Q8. A rectangular park 60 m long and 40 m wide has two concrete crossroads of same width running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
(a) 2.91 m
(b) 3 m
(c) 5.82 m
(d) 4m

Q9. Suppose the two sides of a square are along the straight line 6x-8y=15 and 4y -3x = 2. Then the area of the square is
2.52 Sq.Units
3.61 Sq. Units
4.33 Sq. Units
5 Sq. Units

Q10. The point C(3,­2) divides the segment joining the points (x,0) and (0,y) in the ratio 1:3. Find x and y?
(a) x = 4; y = ­8
(b) x = ­3; y = ­8
(c) x = 3; y = 8
(d) x = ­3; y = 8

Solutions:

 

SSC CGL 2019-20 | SSC CGL Maths Preparation | Geometry (Part 4)

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