Quans - 13
1.
In a class composed of x
girls and y boys what part of the class is composed
of girls.
(A)
y/(x + y) (B)
x/xy (C) x/(x + y) (D) y/xy (Ans.C)
2.
What is the maximum number of half-pint bottles of cream that
can be filled
with a 4-gallon can of
cream(2 pt.=1 qt. and 4 qt.=1 gal)
A. 16 B. 24 C.30
D.64 (Ans.D)
3.
If the operation,^ is defined by the equation x ^ y = 2x + y, what
is the
value of a in 2 ^ a = a ^ 3
A.0 B.1 C.-1 D.4 ( (Ans.B)
4.
A coffee shop blends 2 kinds of coffee, putting in 2 parts of a
33p/gm. grade to 1 part of a 24p/gm. If the mixture is changed to 1 part of the
33p/gm. to 2 parts of the less expensive grade, how much will the shop save in
blending 100 gms.
A.Rs.90 B.Rs.1.00 C.Rs.3.00 D.Rs.8.00 (Ans.C)
The
initial blending is done with two parts of 33p/gm and one part of 24p/gm. Thus
for 3 grams the total cost is 90p.
If
the blending is reversed with two parts of 24p/gm and one part of 33p/gm then
the total cost for 3 grams comes down to 81p. Thus there is a profit of 9p for
three grams or 3p for one gram. For 100
grams the profit will be 300p or Rs 3.00.
5.
There are 200 questions on a 3 hr examination. Among these
questions are 50 mathematics problems. It is suggested that twice as much time
be spent on each maths problem as for each other question. How many minutes
should be spent on mathematics problems?
A.
36 B.72 C.60 D.100 (Ans.B)
Let
‘x’ minutes be the time spent on each of the other problems. Then the time
spent for each Mathematics problem is 2x.
The total number of questions is split between Mathematics and others as
50 + 150. The total time allotted is 3 hours or 180 minutes.
Thus
we have an equation 50*2x + 150x = 180 minutes. Solving we get the value of x
as 180/250 minutes. So, the time spent for Mathematics questions alone is
180/250 * 2 * 50 = 72
minutes.
6.
If 13 = 13w/(1-w) ,then (2w)2 = ?
A.
1/4 B.1/2
C.1 D.2 (Ans.C)
7. If
a and b are positive integers and (a-b)/3.5 = 4/7, then
(A) b < a (B)
b > a (C) b = a (D) b >= a (Ans.
A)
8
In June a baseball team that played 60 games had won 30% of its
game played. After a phenomenal winning streak this team raised its average to
50% .How many games must the team have won in a row to attain this average?
A. 12 B. 20 C. 24 D. 30 (Ans. C)
The team had won 30% out of
60 games played. They have thus won 18 games.
Let ‘x’ be the additional number
of games played. Then the total No. of games played is
(60
+ x) The team won 50%of these games. This equals to (60 + x)/2. But the team
won all the games played after 60 games and this amounts to 50% of wins and
equals to (18 + x).
Thus
we have an equation (18 + x) = (60 + x)/2. Solving
this we get the value of ‘x’ as 24.
9. M men agree
to purchase a gift for Rs. D. If three men drop out how much more will each
have to contribute towards the purchase of the gift?
A. D/(M-3)
B. MD/3 C. M/(D-3) D. 3D/(M2-3M) (Ans. D)
10. A company
contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while
Mr.Black would take 8 days and Mr.Blue 12 days. After 8 days Mr.Brown goes on
vacation and Mr. Black begins to work for a period of 6 days. How many days
will it take Mr.Blue to complete the contract?
A. 7 B.
8 C. 11 D. 12 (Ans.C)
Brown can paint a house in 6
days. Hence in one day he can do 1/6 house.
He works for 8 days and
completes 8/6 house.
Black can paint a house in 8
days. Thus in one day he can paint 1/8 house.
He works for 6 days and
completes 6/8 house.
Brown and Black between them
have completed 8/6 + 6/8 = 50/24 houses.
As three houses are to be painted
the remaining work is 3 – 50/24 = 22/24
Blue takes 12 days to paint a
house. Thus in one day he can do 1/12 work.
So to complete the remaining 22/24 work he would take (22/24) / (1/12)
= 11 days.
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