Quantitative Aptitude [Advanced Level] For SSC CGL : 7th December

Q1. If the diagonal and the area of a rectangle are 34 m and 480 m², find the sum of length & breadth of the rectangle?
(a) 42 m
(b) 46 m
(c) 44 m
(d) 40 m

Q2. A regular hexagonal pyramid has the perimeter of its base as 36 m and its altitude 40 m. Find its volume?
(a) 3741.22 m³
(b) 1747.07 m³
(c) 2247.07 m³
(d) 1247.07 m³

Q3.If x=√5+1/√5 and y=√5-1/√5 then find the value of x²+y²+ 4xy
(a) 132/5
(b) 142/5
(c) 148/5
(d) 152/5

Q4.How many digits (ignoring repetition) are required to number a book containing 1250 pages?
(a) 4193
(b) 3193
(c) 3893
(d) 4173

Q5.In ∆ABC, θ is an acute angle and tanθ is equal to three times of cotθ. Find the value of
sin²θ + cosec²θ – 2/3 cot²θ
(a) 67/36
(b) 65/36
(c) 77/36
(d) 75/36

Q6. The height of a cone and the radius of its base are respectively 9 cm and 3 cm. The cone is cut by a plane parallel to its base so as to divide it into two parts. The volume of the frustum (i.e. the lower part) of the cone is 66 cm³. Then find the radius(in cm) of the upper circular surface of the frustum. (taking π =22/7)
(a) ∛6
(b) ∛11
(c) ∛9
(d) ∛14

Q7. The sum of the areas of the 9 squares whose sides are 20cm, 21 cm,……, 28 cm respectively is
(a) 7714 cm²
(b) 5244 cm²
(c) 6370.67 cm²
(d) 6714 cm²


(a) 119
(b) 194
(c) 167
(d) 223

Q9. The total sum of all interior angles of a regular polygon is thrice the total sum of all its exterior angles. Find the no. of diagonals?
(a) 12
(b) 25
(c)15
(d) 20

Q10. From the foot and top of a building of height 322m, a man observes the top of a tower with angle of elevation p and q respectively. If tan p =4/5 and tanq= 5/12, then what is the distance between the top of the building and top of the tower
(a) 672 m
(b) 350 m
(c) 710 m
(d) 910 m

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