1. The sum of two numbers is 20 and their geometric mean is 20% lower than their
arithmetic mean. Find the ratio of the numbers.
A. 4: 1
B. 9: 1
C. 1: 1
D. 17: 3
E. 5: 1
2. A man saves Rs. 100 in January 2002 and increases his savings by Rs. 50 every
month. What is the annual saving for the man in the year 2002?
A. 4200
B. 4500
C. 4000
D. 4100
E. None of these
3. A certain number of truckds were required to transport 60 tones of steel wire
from the TISCO factory in Jamshedpur. However, it was found that since each
truck could take 0.5 tones of cargo less, another four trucks were needed. How
many trucks were initially planned to be used?
A. 10
B. 15
C. 20
D. 25
E. 30
4. A bartender stole champagne from a bottle that contained 50% of spirit and he
replaced what he had stolen with champagne having 20% spirit. The bottle then
contained only 25% spirit. How much of the bottle did he steal?
A. 80%
B. 83.33%
C. 85.71%
D. 88.88%
E. None of these
5. Ram spends 20% of his monthly income on his household expenditure, 15% of the
rest on books, 30% of the rest on clothes and saves the rest. On counting, he
comes to know that he has finally saved Rs. 9520. Find his monthly income.
A. 10000
B. 15000
C. 20000
D. 12000
E. None of these
6. Doctors have advised Renu, a chocolate freak, not to take more than 20
chocolates in one day. When she went to the market to buy her daily quota, she
found that if she byts chocolate from the market complex she would have to pay
Rs. 3 more for the same number of chocolates than she would have spent had she
bought them from her uncle Scrooge’s shop, getting two sweets less per rupee.
She finally decided to get them from uncle Scrooge’s sho paying only in
onerupee coins. How many chocolates did she buy?
A. 12
B. 9
C. 18
D. 15
E. Data Insufficient
7.Three amounts x, y and z are such that y is the simples interest on x and z is
the simple interest on y. If in all the three cases, rate of interest per annum
and the time for which interest is calculated is the same, then find the
relation between x, y and z.
A.
B.
C.
D.
E. None of these
8. A precious stone weighing 35 grams worth Rs. 12,250 is accidentally dropped
and gets broken into two pieces having weights in the ratio of 2 :5. If the
price varies as the square of the weight then find the loss incurred.
A. 5750
B. 6000
C. 5550
D. 5000
E. 6250
9. A, B and C can do some work in 36 days. A and B together do twice as much
work as C alone and A and C together can do thrice as much work as B alone. Find
the time taken by C to do the whole work.
A. 72 Days
B. 96 Days
C. 108 Days
D. 120 Days
E. None of these
10. Tow ducks move along the circumference of a circular pond in the same
direction and come alongside each other every 54 minutes. If they moved with
same speeds in the opposite directions, they would meet every 9 minutes. It is
known that when the ducks moved along the circumference in opposite directions,
the distance between them decreased from 54 to 14 feet every 48 seconds. What is
the speed of the slower duck?
A. 20 feet/min
B. 15 feet/min
C. 30 feet/min
D. 20.8 feet/min
E. 18.33 feet/min
11. Find the area of the triangle inscribed in a circle circumscribed by a
square made by joining the mid points of the adjacent sides of a square of side
a.
A.
B.
C.
D.
E. None of these
12. In the figure given below, XYZ, is a right angled triangle in which Y = 45°
and X = 90°. ABCD is a square inscribed in it whose area is . What is the area
of triangle XYZ?
A. 100 sqcm
B. 64 sqcm
C. 144 sqcm
D. 81 sqcm
E. None of these
13. If , then the minimum value of
and , will be
A. 0
B. 1
C. 2
D. Depends on values of f(x) and g(x)
E. None of these
14. Solve the inequality:
A.
B. and
C. and
D. and
E. None of these
15. If both the roots of the quadratic equation
lies in the interval (0, 3) then a lies in
A. (1, 3)
B. (1, 3)
C.
D. (1, 3)
E. None of these
16. Solve for
A. 0
B. 1
C. 2
D. 3
E. 4
17. The number of ways in which four particular persons A, B, C and D six more
persons can stand in a queue so that A always stands before B, B always before C
and C always before D is
A. 10!/4!
B.
D. 6!/4!
D. 6!/4!
E. None of these
18. Eleven books, consisting of five engineering books, four mathematics books
and two physics books, are arranged in a shelf at random. What is the
probability that the books of each kind are all together?
A. 5/1155
B. 2/1155
C. 3/1155
D. 1/1155
E. None of these
19. The extremities of the diagonal of a parallelogram are the points (3, 4)
and (6, 5). If the third vertex is the point (2, 1), the coordinate of the
fourth vertex is
A. (1, 0)
B. (1, 0)
C. (1, 1)
D. (1, 1)
E. None of these
20. If ; ,
find .
A. {0, 2, 4}
B.
C. {3, 7}
D. {2, 3}
E. None of these

