QUANTITATIVE PRACTICE TEST
Directions(1-6): Study the following table and answer the given questions.NUMBER OF CANDIDATES APPEARED, QUALIFIED AND SELECTED IN A COMPETITIVE EXAMINATION FROM FIVE STATES DELHI, H.P, U.P, PUNJAB AND HARYANA OVER THE YEARS 1997 TO 2001.
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
|
1.In the year 1997, which state had the lowest percentage of candidates selected over the candidates appeared?
a)Delhi
b)H.P
c)U.P
d)Punjab
e)Haryana
2.The percentage of candidates qualified from Punjab over those appeared from Punjab is highest in the year:
a)1997
b)1998
c)1999
d)2000
e)2001
3.The percentage of candidates selected from U.P over those qualified from U.P is highest in the year:
a)1997
b)1998
c)1999
d)2000
e)2001
4.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)79.5%
b)81%
c)84.5%
d)88.5%
e)92.5%
5.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
e)Haryana
6.What is the approximate percentage of total number of candidates selected to the total number of candidates qualified for all the five states together during the year 1999?
a)10%
b)11%
c)12%
d)13%
e)14%
Directions(7-11): Study the following table carefully and answer the given questions.
EXPENDITURES OF A COMPANY (IN LAKH RUPEES) PER ANNUM OVER THE GIVEN YEARS.
Item of
expenditure>>
Year↓
|
Salary
|
Fuel and
Transport
|
Bonus
|
Interest
On
Loans
|
Taxes
|
1998
|
288
|
98
|
3.00
|
23.4
|
83
|
1999
|
342
|
112
|
2.52
|
32.5
|
108
|
2000
|
324
|
101
|
3.84
|
41.6
|
74
|
2001
|
336
|
133
|
3.68
|
36.4
|
88
|
2002
|
420
|
142
|
3.96
|
49.4
|
98
|
7.The ratio between the total expenditure on Taxes for all the years and the total expenditure on Fuel and Transport for all the years respectively is approximately:
a)4:7
b)10:13
c)15:18
d)5:8
e)2:3
8.The total expenditure of the Company over these items during the year 2000 is:
a)Rs.544.44 lakhs
b)Rs.501.11 lakhs
c)Rs.446.46 lakhs
d)Rs.478.87 lakhs
e)Rs.612.13 lakhs
9.What is the average amount of interest per year which the company had to pay during this period?
a)Rs.32.43 lakhs
b)Rs.33.72 lakhs
c)Rs.34.18 lakhs
d)Rs.35.69 lakhs
e)Rs.36.66 lakhs
10.Total expenditure on all these items in 1998 was approximately what percent of the total expenditure in 2002?
a)62%
b)66%
c)69%
d)71%
e)73%
11.The total amount of bonus paid by the company during the given period is approximately what percent of the total amount of the salary paid during this period?
a)0.1%
b)0.5%
c)1%
d)1.25%
e)1.11%
Answer key
2.d)
3.b)
4.d)
5.a)
6.d)
7.b)
8.a)
9.e)
10.c)
11.c)
Solution
For, Delhi = (94/8000) × 100 = 1.175%
For, H.P = (82/7800) × 100 = 1.051%
For, U.P = (78/7500) × 100 = 1.040%
For, Punjab = (85/8200) × 100 = 1.037%
For, Haryana = (75/6400) × 100 = 1.172%
clearly, this percentage is lowest for Punjab.
2.The percentage of candidates qualified from Punjab over those appeared from Punjab during different years are:
For, 1997 = (680/8200) × 100 = 8.29%
For, 1998 = (600/6800) × 100 = 8.82%
For, 1999 = (525/6500) × 100 = 8.08%
For, 2000 = (720/7800) × 100 = 9.23%
For, 2001 = (485/5700) × 100 = 8.51%
clearly, this percentage is highest for the year 2000.
3.The percentage of candidates selected from U.P over those qualified from U.P during different years are:
For, 1997 = (78/720) × 100 = 10.83%
For, 1998 = (85/620) × 100 = 13.71%
For, 1999 = (48/400) × 100 = 12%
For, 2000 = (70/650) × 100 = 10.77%
For, 2001 = (80/950) × 100 = 8.42%
clearly, this percentage is highest for the year 1998.
4.Required% = [(75+75+55+60+75)/(94+48+82+90+70)] × 100
= (340/384) × 100
= 88.5%
5.The average number of candidates selected over the given period for various states are:
For, Delhi = (94+48+82+90+70)/5 = 384/5 = 76.8
For, H.P = (82+65+70+86+75)/5 = 378/5 = 75.6
For, U.P = (78+85+48+70+80)/5 = 361/5 = 72.2
For, Punjab = (85+70+65+84+60)/5 = 364/5 = 72.8
For, Haryana = (75+75+55+60+75)/5 = 340/5 = 68
clearly, this average is maximum for Delhi.
6.Required% = [(82+70+48+65+55)/(640+560+400+525+350)] × 100
= (320/2475) × 100
= 12.93 = 13%
7.Required ratio = (83+108+74+88+98) : (98+112+101+133+142)
= 451:586 = 10:13
8.Total expenditure of the company during 2000
= Rs.(324+101+3.84+41.6+74) lakhs
= Rs.544.44 lakhs
9.Average amount of interest paid by the company during the given period
= Rs.[(23.4+32.5+41.6+36.4+49.4)/5] lakhs
= Rs.(183.3/5) lakhs
= Rs.36.66 lakhs
10.Required% = [(288+98+3.00+23.4+83)/(420+142+3.96+49.4+98)] × 100
= (495.4/713.36) × 100 = 69.45%
11.Required% = [(3.00+2.52+3.84+3.68+3.96)/(288+342+324+336+420)] × 100
= (17/1710) × 100 = 1%
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