GATEWAY TO CGL MAINS 2015 : Advanced Quant Quiz

1. A well of radius 3.5m is dug 16m deep. The soil removed is spread over an area of 400m2 to form a platform. Height of platform is :
(a)7.7m
(b)77m
(c)1.54m
(d)154m


2. The perimeter of the base of a right prism standing on an equilateral triangle is 12 cm. if the length of the prism be 60 cm, find its total surface area?
(a)720
(b)720+8v3
(c)240v3
(d)240

3. A sphere is cut into two hemispheres. One of them is used as bowl. It takes 8 bowlfuls of this to fill a conical vessel of height 12cm and radius 6cm.The radius of sphere will be :
(a)3cm
(B)2cm
(c)4cm  
(d)6cm

4. Find the altitude of a rhombus whose area is 420cm2 and perimeter 140cm.
(a)10cm
(b)8cm
(c)12cm
(d)14cm

5. Find the maximum value of (sinA.cosB)5+5?
(a)5
(b)30
(c)37
(d)161/32

6. If sin A = 0.7, then cos B, 0=?<90°,is
(a) 0.3
(b) v0.49
(c) v0.51
(d) v0.9

7. If a=4011 and b=3989 then value of ab=?
(a) 15999879
(b) 15899879
(c) 15989979
(d) 15998879

8. The value of (sin)^2 65°+(sin)^2 25°+(cos)^2 35°+(cos)^2 55° is
(a) 0
(b) 1
(c) 2
(d) ½

9.The simplest value of cot 90 cot  270 cot 630 cot 810 is
(a) 0
(b) 1
(c) -1
(d) v3

10. (55)^3+(17)^3-(72)^3+201960 is equal to 
(a) -1
(b) 0
(c) 1
(d) 17

answer:
1.c
2.b
3.a
4.c
5.d
6.c
7.a
8.c
9.b
10.b