If in the year 1998, there was an increase of 10% in the population of U.P. and 12% in the population of M.P. compared to the previous year, then what was the ratio of populations of U.P. and M.P. in 1997?
A.
42 : 55
B.
48 : 55
C.
7 : 11
D.
4 : 5
Answer: Option A
Explanation:
Let x be the population of U.P. in 1997. Then,
Population of U.P. in 1998 = 110% of x =
110
x x.
100
Also, let y be the population of M.P. in 1997. Then,
Population of M.P. in 1998 = 112% of y =
112
x x.
100
Ratio of populations of U.P. and M.P. in 1998 =
110
x x
100
=
110x
.
112
x y
100
112y
From the pie-chart, this ratio is
15
.
20
110x
=
15
x
=
15
x
112
=
42
.
112y
20
y
20
110
55
Thus, ratio of populations of U.P. and M.P. in 1997 = x : y = 42 : 55.
In a school the periodical examination are held every second month. In a session during April 2001 - March 2002, a student of Class IX appeared for each of the periodical exams. The aggregate marks obtained by him in each perodical exam are represented in the line-graph given below.
Marks Obtained by student in Six Periodical Held in Every Two Months During the Year in the Session 2001 - 2002.
Maximum Total Marks in each Periodical Exam = 500
6.
In which periodical exams did the student obtain the highest percentage increase in marks over the previous periodical exams ?
A.
June, 01
B.
August, 01
C.
Oct, 01
D.
Dec, 01
Answer: Option C
Explanation:
Percentage increase in marks in various periodical exams compared to the previous exams are:
For Jun 01 =
(365 - 360)
x 100
% = 1.39%.
360
For Aug 01 =
(370 - 365)
x 100
% = 1.37%.
365
For Oct 01 =
(385 - 370)
x 100
% = 4.05%.
370
For Dec 01 =
(400 - 385)
x 100
% = 3.90%.
385
For Feb 02 =
(404 - 400)
x 100
% = 1.25%.
400
Clearly, highest percentage increase in marks is in Oct 01.
The total number of marks obtained in Feb. 02 is what percent of the total marks obtained in April 01 ?
A.
110%
B.
112.5%
C.
115%
D.
116.5%
Answer: Option B
Explanation:
Here it is clear from the graph that the student obtained 360, 365, 370, 385, 400 and 405 marks in periodical exams held in Apr 01, Jun 01, Aug 01, Oct 01, Dec 01 and Feb 02 respectively.
In which periodical exams there is a fall in percentage of marks as compared to the previous periodical exams ?
A.
None
B.
June, 01
C.
Oct, 01
D.
Feb, 02
Answer: Option A
Explanation:
As is clear from the graph, the total marks obtained in periodical exams, go on increasing. Since, the maximum marks for all the periodical exams are the same; it implies that the percentage of marks also goes on increasing.
Thus, in none of the periodical exams, there is a fall in percentage of marks compared to the previous exam.
Study the following table and answer the questions based on it.
Number of Candidates Appeared, Qualified and Scheduled in a Competitive Examination from Five States Delhi, H.P, U.P, Punjab and Haryana Over the Years 1994 to 1998
Year
Delhi
H.P
U.P
Punjab
Haryana
App
Qual
Sel
App
Qual
Sel
App
Qual
Sel
App
Qual
Sel
App
Qual
Sel
1997
8000
850
94
7800
810
82
7500
720
78
8200
680
85
6400
700
75
1998
4800
500
48
7500
800
65
5600
620
85
6800
600
70
7100
650
75
1999
7500
640
82
7400
560
70
4800
400
48
6500
525
65
5200
350
55
2000
9500
850
90
8800
920
86
7000
650
70
7800
720
84
6400
540
60
2001
9000
800
70
7200
850
75
8500
950
80
5700
485
60
4500
600
75
11.
For which state the average number of candidates selected over the years is the maximum?
A.
Delhi
B.
H.P
C.
U.P
D.
Punjab
Answer: Option A
Explanation:
The average number of candidates selected over the given period for various states are:
The number of candidates selected from Haryana during the period under review is approximately what percent of the number selected from Delhi during this period?
A cosmetic company provides five different products. The sales of these five products (in lakh number of packs) during 1995 and 2000 are shown in the following bar graph.
Sales (in lakh number of packs) of five different products of Cosmetic Company during 1995 and 2000
16.
The sales of lipsticks in 2000 was by what percent more than the sales of nail enamels in 2000? (rounded off to nearest integer)