1.There are
5 freshmen, 8 sophomores, and 7 juniors in a chess club. A group of 6 students
will be chosen to compete in a competition.How many combinations of students
are possible if the group is to consist of exactly 3 freshmen?
A.5000
B.4550
C.4000
D.3550
2.In an
election contested by two parties, Party D secured 12% of the total votes more
than Party R.If party R got 132,000 votes, by how many votes did it lose the
election?
A.300000
B.168000
C.36000
D.24000
3.30% of the
men are more than 25 years old and 80% of the men are less than or equal to 50
years old. 20% of all men play football. If 20% of the men above the age of 50
play football, what percentage of the football players are less than or equal
to 50 years?
A. 20%
B. 60%
C. 70%
D. 80%
4. Mr. A
spent 20% of his monthly income on food and 15% on children’s education. 40% of
the remaining he spent on entertainment and transport together and 30% on
medical. He is left with an amount of Rs 8775 after all these expenditures.
What is Mr’s A monthly income?
A. 4000
B. 3800
C. 4500
D. 6000
5.One test
tube contains some acid and another test tube contains an equal quantity of water. To prepare a solution, 20ml of the acid is poured into the
second test tube. Then, two-thirds of the so formed solution is poured from the second tube into the first. If the fluid in the first test tube is four times that in the
second, what quantity of water was taken initially?
A 100 ml
B. 80 ml
C. 60 ml
D. 40 ml
6.In Xth
class the ratio of boys to girls is 62 : 38 and in XIIth the inverse ratio of
the previous class is 25 : 75 , If there are total of 700 students including
both Xth and XIIth and the ratio of students in them are 4 : 3 respectively.
What is the ratio of number of girls from Xth to that of number of boys from
XIIth ?
A.152 : 225
B. 150 : 250
C. 142 : 235
D. 225 : 150
7.The
respective ratio between the speeds of a car, a train and a bus is 5 : 9 : 4.
The average speed of the car, the bus and t train is 72 kmph together. What is
the average speed of the car and the train together ?
A. 82 kmph
B. 78 kmph
C. 84 kmph
D. Cannot be
determined
8. How many
kg of sugar costing Rs 5.75 per kg should be mixed with 75 kg of cheaper sugar costing Rs 4.50 per kg so that the mixture is worth Rs 5.50 per kg ?
A. 200
B. 100
C. 300
D. 500
9. A shopkeeper increased the price of his product by 40% .
if he increases discount from 5% to 10% d profit would decrease by Rs 14. how much profit would he earn if he gives a discount of 20% on the marked price ?
A. 20
B. 24
C. 28
D. 33
10. Prakash,
Sunil and Anil started a business jointly investing Rs. 11 lakhs, Rs. 16.5 lakhs
and Rs. 8.25 lakhs respectively. The profit earned by them in the business at the
end of three years was Rs. 19.5 lakhs. What will be the 50% of Anil’s share (lakhs)
in the profit ?
A. 1.5
B. 2.5
C. 3.5
D. 4.5
Answers With
Explanation
1. 5C 3 × 15 C 3 = 4,550
2. X+x+12=100%;
X= 44%
X+12=56%
Party R ( got
44% vote)= 132000
Therefore 1%
= 132000/44=3000
100%= 300000;
Party d= 56*
300000/100=168000
Difference=
168000-132000=36000
3.20% of the
men are above the age of 50 years. 20% of these men play football. Therefore,
20% of 20% or 4% of the total men are football players above the age of 50
years. 20% of the men are football players. Therefore, 16% of the men are
football players below the age of 50 years.
Therefore,the
% of men who are football players and below the age of 50= 16/20* 100=80%
4. 20+15 = 35
%
Remaining 65%
40+ 30=70
so 70% of 65 = 45.50
35%+45.50 = 80.50%
so left vth 19.50% = 8775
100% = 45000
5.Let the solution
of both the test tube be X gm
According to
the question we will get equation as follows
(x-20)+(x+20)*2/3
= 4*(X+20)*1/3
X= 100 gm.
6. 10th
class boys : girls = 62 : 38
12th
class boys : girls = 75 : 25
10th
student : 12th student = 4 : 3
Therefore 400:300
Girls in 10th
= 400*38/100
Boys in 12th
= 300*75/100
Hence 152 :
225
7. 5x + 9x + 4x = 72 x 3
= 18x = 72 x 3; x= 12
= 5x + 9x/2 = 7x
= 7 x 12 = 84 kmph
8. By allegation method
5.75…………..4.50
5.50
100……………25
Therefore 25x=75;
x=3
Hence 100x=300
9. 5%= 14
100%= 280
280*140/100*80/100=
313 appx
313-280=33
10. Ratio=
11: 16.5: 8.25
(19.5*8.25)/(35.75*2)
= 2.25 lakhs
