Directions (Q. 1 - 5): Study the following information carefully and answer the questions given below:
Total 8400 students appeared in class Xth exam from six different schools. Following pie chart shows the percentage distribution of these students among those schools and the table shows the ratio of passed to failed students among them.
1. From which school number of passed students is minimum?
1) A
2) B
3) C
4) D
5) E
2.What is the total number of failed students from school B and C together?
1) 756
2) 896
3) 976
4) 1012
5) 1124
3. What is the ratio of the number of passed students from school C to the number of failed students from school D?
1) 5 : 4
2) 7 : 4
3) 7 : 6
4) 5: 3
5) Other than given options
4. Total number of failed students from school A is approximately what per cent of the total number of passed students from school E?
1) 75 %
2) 80%
3) 96%
4) 112%
5) 133%
5. Total number of failed students from school 'E' is approximately what percent of the total number of students appeared from school C?
1) 26%
2) 29%
3) 32%
4) 35%
5) 38%
6. 'A' can do a work in 28 days. With the help of 'B' he can do the same work in 20 days. If they get Rs. 8190 for that work. What is the share of B?
1) Rs. 2340
2) Rs. 3510
3) Rs. 5850
4) Rs. 4095
5) Other than given options
7. The length of a rectangle is increased by 300%. By what percent should the width be decreased to maintain the same area?
1) 300%
2) 150%
3) 100%
4) 75%
5) Other than given options
8. A bag contains 4 red, 5 green and 7 white balls. 3 balls are drawn randomly. What is the probability that the balls drawn contain balls of different colours?
1) 3/16
2) 5/16
3) 1/4
4) 1/8
5) Other than given options
9. A tank is in the shape of a frustum of a right circular cone. If the radii of the ends of frustum are 8 m and 6 m and capacity is 3256 m^3 then what is the depth of tank?
1) 10 m
2) 12 m
3) 14 m
4) 16 m
5) 21 m
10. Two persons cover the same distance at the rate of 25kmph and 30kmph respectively. What distance they travelled if one takes 40 minutes longer than the other?
1) 105 km
2) 110 km
3) 100 km
4) 112 km
5) 102 km
1. 5
A = 8400/100 * 12 * 7/12 = 588
B = 8400/100 * 20 * 13/21 = 1040
C = 8400/100 * 14 * 5/7 = 840
D = 8400/100 * 16 * 9/14 = 864
E = 8400/100 * 12 * 5/9 = 560
F = 8400/100 * 26 * 10/21 = 1040
Hence, in school E, the no of passed students is minimum.
2. 3
Total failed = 8400/100 [20 * 8/21 + 14 * 2/7]
= 84 [160/21 + 4]
= 84 * 244/21
= 976
3. 2
Ratio = (8400/100 * 14 * 5/7) : (8400/100 * 16 * 5/14)
= 840 : 480
= 7 :4
4. 1
Afail = 8400/100 * 12 * 5/12 = 420
Epass = 8400 * 12/100 * 5/9 = 560
Required percentage = 420/560 * 100 = 75%
5. 5
Efail = 8400/100 * 12 * 4/9 = 448
Ctotal = 8400/100 * 14 = 1179
Required percentage = 448/1176 * 100 = 38%
6. 1
B can do the work in
1/[1/20 - 1/28] = 1/[7-5/140] = 70 days
A share : B share = 70 : 28 = 5 :2
B share = 8190/7 * 2 = Rs. 2340
7. 4
Let initial length be x and breath be y
Area = xy
After increment length = x + x × 300/100 = 4x
Let new breadth = y1
4x × y1 = xy
y1 = y/4
decrease in breadth = y – y/4 = 3y/4
Percentage decrease = [3y/4 * 100]/y
3y/4y * 100 = 75%
8. 3
n(S) = 16C3 = 16 * 15 * 14/3 * 2 = 560
n(E) = 4C1 * 5C1 * 7C1 = 140
P(E) = 140/560 = 1/4
9. 5
Volume = 22/7 * h/3 [R^2 + r^2 +Rr]
3256 = 22/21 * h [ 64 + 36 + 48]
3256 = 22/21 * h * 148
h = 21m
10. 3
Let the distance be x cm
x/25 - x/30 = 40/60
(6x - 5x)/150 = 2/3
x = 150 * 2/3 = 100 km
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