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Simplification
Directions (1 – 5): What value should come in place of (?) in the following questions?
1) (7 (1/7) – 5 (1/5)) × 5 (5/6) ÷ 5 (5/16) + 26/30 = √(? – 62)
a) 68
b) 75
c) 71
d) 82
e) 78
2) 5.6% of 350 + 12.5% of 480 = ?2 – 17% of 120
a) 12
b) 10
c) 6
d) 8
e) 11
3) (14)7 × (16)-4 ÷ ((343)2 × (128)-2) = 2 × 7 × √x
a) 16
b) 64
c) 256
d) 1024
e) 4
4) (2 ½ % of 160) × (21/4 % of 110) × 9 = 16 × 15 – 1/10 – (2)?
a) 4
b) 3
c) 5
d) 6
e) 8
5) (2 (1/4) * 18/63 + 63/90 * 2 (2/49)) / (3/7 + 4/9 + 1/21) =?/64
a) 72
b) 128
c) 216
d) 64
e) 144
Data Interpretation
Directions (6 – 10): Study the following information carefully and answer the given questions?
The following pie chart represents the number of students from different streams who attended an exam.
Total number of students = 800000
The following table shows the percentage of male in different streams and the percentage of students who passed the examination.
6) What is the ratio of number of females from Arts and Science to the number of females from Commerce?
a) 32:55
b) 30:53
c) 63:110
d) 67:110
e) 29:110
7) What is the total number of students who passed the examination?
a) 190000
b) 199992
c) 196754
d) 205606
e) 202000
8) From engineering students, 25% of female passed the examination. Then find the approximate percentage of male students who passed the examination?
a) 41%
b) 50%
c) 33%
d) 27%
e) 58%
9) Find the difference between the number of males from Engineering and law together and the number of females from Engineering and law together?
a) 35820
b) 30270
c) 26870
d) 25280
e) 32850
10) Find the percentage of male students who write the examination?
a) 49.6%
b) 52.9%
c) 53.2%
d) 47.1%
e) 51.9%
Answers :
Directions (1 – 5):
1) Answer: C
50/7 – 26/5 = (250 – 182)/35 = 68/35
68/35 * 35/6 * (16/85) = 32/15
32/15 + 26/30 = 90/30 = 3
Given that,
3 = √(x – 62)
x = 9 + 62 = 71
2) Answer: B
5.6% of 350 + 12.5% of 480 = x2 – 17% of 120
5.6 * 3.5 + 12.5 * 4.8 = x2 – 17 * 1.2
19.6 + 60 = x2 – 20.4
x2 = 100
x = 10
3) Answer: C
(14)7 * (16)-4 / ((343)2 * (128)-2) = 2 * 7 * √x
27 * 77 * (24)-4 / (76 * (27)-2) = 2*7*√x
2(7-16+14) * 7(7-6) = 2*7*√x
25 * 7 = 2*7*√x
24 = √x
x = 256
4) Answer: C
(2 1/2% of 160) × (21/4% of 110) × 9 = 16 × 15 – 1/10 – (2)?
5/200 * 160 * 21/400 * 110 * 9 = 240 – 1/10 – (2)x
207.9 = 240 – 0.1 – (2)x
(2)x = 240 – 0.1 – 207.9
(2)x = 32
(2)x = 25
x = 5
5) Answer: E
(2 (1/4) * 18/63 + 63/90 * 2 (2/49)) / (3/7 + 4/9 + 1/21) = x/64
(9/4 * 18/63 + 63/90 * 100/49) / (3/7 + 4/9 + 1/21) = x/64
(9/14 + 10/7) / (27 + 28 + 3/63) = x/64
(29/14) / (58/63) = x/64
29/14 * 63/58 * 64 = x
144 = x
Directions (6 – 10):
6) Answer: C
Number of students from Arts and Science = (24/100) * 800000 = 192000
Number of females from Arts and Science = (42/100) * 192000 = 80640
Number of students from Commerce = (32/100) * 800000 = 256000
Number of females from Commerce = (55/100) * 256000 = 140800
Ratio = 80640: 140800 = 63: 110
7) Answer: B
Number of students passed from
Arts and Science = (12/100) * 192000 = 23040
Commerce = (30/100) * 256000 = 76800
Engineering = (33.33/100) * (30/100) * 800000 = 79992
Law = (18/100) * (14/100) * 800000 = 20160
Total number of students who passed = 199992
8) Answer: A
Engineering
Number of students = (30/100) * 800000 = 240000
Number of male = (52/100) * 240000 = 124800
Number of female = (48/100)*240000 = 115200
25% of female passed = (25/100)*115200 = 28800
Total number of students passed = (33.33/100) * 240000 = 79992
Number of male passed = 79992 – 28800 = 51192
Percentage of male students passed = (51192 / 124800) * 100 = 41%
9) Answer: D
Engineering
Number of males = 124800
Number of females = 115200
Law
Number of students = (14/100)*800000 = 112000
Number of male = (57/100)*112000 = 63840
Number of female = 112000 – 63840 = 48160
Number of males from Engineering and law = 124800 + 63840 = 188640
Number of females from Engineering and law = 115200 + 48160 = 163360
Difference = 188640 – 163360 = 25280
10) Answer: E
Number of male
Arts college = (58/100) * 192000 = 111360
Commerce = (45/100) * 256000 = 115200
Engineering = (52/100) * 240000 = 124800
Law = (57/100) * 112000 = 63840
Total males = 111360 + 115200 + 124800 + 63840 = 415200
Percentage = (415200 / 800000) * 100 = 51.9 %
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