Food Corporation of India

(Paper - 1) FCI Paper Held on 5 Feb 2012 (Second Sitting)

Quantitative Aptitude

1. Ratio of the principle and the amount after 1 year is 10:12. Then the ratio of interest per annum is:

(a) 12%
(b) 16%
(c) 18%
(d) 20%

2. A solid cone of height 9 cm with diameter of its base 18cm is cut out from a wooden solid sphere of radius 9cm. The percentage of wood wasted is

(a) 25
(b) 30
(c) 50
(d) 75

3. The length of the chord of a circle is 8 cm and perpendicular distance between centre and the chord is 3 cm. Then the radius of the circle is equal to

(a) 4 cm
(b) 5 cm
(c) 6 cm
(d) 8 cm

5. The average of 5 numbers is 140. If one number is excluded, the average of the remaining 4 numbers is 130. The excluded number is:

(a) 135
(b) 134
(c) 180
(d) 150

6. If toys are bought at Rs. 5 each and sold at Rs.4.50 each, then the loss is

(a) 10%
(b) 11%
(c) 12%
(d) 13%

7. What is the largest number which will divide 110 and 128 leaving a remainder 2 in each case?

(a) 8
(b) 18
(c) 28
(d) 38

8. If a = 23 and b = -29, then the value of 25a2 + 40ab + 16b2 is:

(a) 1
(b) -1
(c) 0
(d) 2

9. If (2x)(2y) = 8 and (9x)(3y) = 81, then (x,y) is:

(a) (1,2)
(b) (2,1)
(c) (1,1)
(d) (2,2)

10. One chord of a article is known to be 10.1 cm. The radius of this circle must be:

(a) 5 cm
(b) greater than 5 cm
(c) greater than or equal to 5 cm
(d) less than 5 cm

11. Both the end digits of a 99 digit number N are 2. N is divisible by 11, then all the middle digits are

(a) 1
(b) 2
(c) 3
(d) 4

12. A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toys is 10.2 cm, find the volume of the wooden toy (nearly).

(a) 104 cm³
(b) 162 cm³
(c) 427 cm³
(d) 266 cm³

13. A can do a piece of work in 12 days. B is 50% more efficient than A. In how many days B will finish the same work?

(a) 6 days
(b) 8 days
(c) 12 days
(d) 24 days

14. Each interior angle of a regular polygon is there times its exterior angle, then the number of sides of the regular polygon is:

(a) 9
(b) 8
(c) 10
(d) 7

15. Selling an article at a profit of 5%, Mr. X gets Rs. 150 more than selling it at a loss of 5%. Mr. X purchased the article at

(a) Rs.15,000
(b) Rs.1500
(c) Rs.150
(d) Rs.15

16. The ratio of the radii of two circles is 1 : 2, then the ratio of their area is:

(a) 1 : 2
(b) 2 : 1
(c) 1 : 4
(d) 4 : 5

17. The true discount on a sum of money due 2 years hence at 5% is Rs. 15. Find the sum.

(a) 150
(b) 165
(c) 170
(d) 160

18. The average weight of 5 persons sitting in a boat is 38 kg. The average weight of the boat and the persons sitting in the boat is 52 kg. What is the weight of the boat?

(a) 228 kg
(b) 122 kg
(c) 232 kg
(d) 242 kg

19. The value of the expression X⁴ – 17x³ + 17x² – 17x + 17 at x = 16 is

(a) 0
(b) 1
(c) 2
(d) 3

20. In a cylindrical vessel of diameter 24 cm filled up with sufficient quantity of water, a solid spherical ball of radius 6 cm is completely immersed. Then the increase in height of water level is:

(a) 1.5 cm
(b) 2 cm
(c) 3 cm
(d) 4.2 cm