# Quant Quiz "Advance" for SSC CGL 2016

**Q1. ABCD is a square, AC = BD =4√2 cm, AE = DE = 2.5 cm. Find the area of the adjoining figure ABCDE :**
(a) 19 cm2

(b) 22 cm2

(c) 17 cm2

(d) None of the above

**Q2. A rectangular water reservoir is 15 m by 12 m at the base. Water flows into it through a pipe whose cross-section is 5 cm by 3 cm at the rate of 16 m per second. Find the height to which the water will rise in the reservoir in 25 minutes:**
(a) 0.2 m

(b) 2 cm

(c) 0.5 m

(d) None of these

**Q3. A large solid sphere of diameter 15 m is melted and recast into several small spheres of diameter 3 m. What is the percentage increase in the surface area of the smaller spheres over that of the large sphere? **
(a) 200%

(b) 400%

(c) 500%

(d) Can’t be determined

**Q4. A cone is made of a sector with a radius of 14 cm and an angle of 60°. What is total surface area of the cone?**
(a) 119.78 cm2

(b) 191.87cm2

(c) 196.5 cm2

(d) None of these

**Q5. If a + b + c = 13, what is the maximum value of (a-3)(b-2)(c+1)?**
(a) 26

(b) 27

(c) 30

(d) 19

**Q6. If x and y are both positive, then the minimum value of (x + y) (1/x+1/y) is:**
(a) 0

(b) 1

(c) 2

(d) 4

**Q7. If x, y, z are real numbers such that x + y + z = 4 and x^2+y^2+z^2=6, then x, y z lie in:**
(a) [3/2 ,2]

(b) [2/3 ,2]

(c) [0 ,2/3]

(d) None of these

**Q8. If 1 ≤ x ≤ 3 and 2 ≤ y ≤ 4, what is the maximum value of (x/y)? **
(a) 2/3

(b) 4

(c) 3/2

(d) 2

(a) 11/12

(b) 11/96

(c) 29/96

(d) None of these

(a) 3 (x + y + x) = a

(b) 2a = x + y + z

(c) x + y + z = 0

(d) x = y = z =a/3

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