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Simplification
Directions (Q. 1 – 5): What value should come in place of question mark (?) in the following questions?
1) √16384 ÷ 4 × 16 = ? – 18312 ÷ 12 + 142
a) 1678
b) 1842
c) 1426
d) 2154
e) None of these
2) (7/9) of 4068 + 77 % of 1200 = (?)2 – (128 ÷ 16)
a) 64
b) 62
c) 58
d) 56
e) None of these
3) (8 × 8)5 ÷ (512 ÷ 8)2 × (8 × 64)3 = (8)? + 5
a) 12
b) 8
c) 6
d) 10
e) None of these
4) ? % of (75 × 4 – 150) = 420 + 752
a) 4280
b) 4520
c) 4030
d) 5060
e) None of these
5) (7/84) of (12/156) of 4680 = 45 – ?
a) 15
b) 20
c) 25
d) 30
e) None of these
Data Interpretation
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions?
The following table shows the total number of people (Male + Female) went for 5 different hotels and ate some veg and non-veg items in a certain week. The ratio of veg to that of non-veg items also given here.
6) Find the difference between the total number of male eating veg to that of total number of female eating non-veg from hotel A, if the percentage of total number of female eating veg and that of male eating non-veg from hotel A is 52 % and 45 %?
a) 40
b) 60
c) 80
d) 20
e) None of these
7) Find the ratio between the total number of people eating Veg from hotel B and D together to that of total number of people eating non-veg from hotel C and E together?
a) 23 : 29
b) 19 : 25
c) 34 : 47
d) 11 : 18
e) None of these
8) Find the total number of people eating non-veg from hotel B, C and D together?
a) 3800
b) 4300
c) 4700
d) 3500
e) None of these
9) Total number of people eating non-veg from hotel E is what percentage of total number of people eating veg from hotel A?
a) 125 %
b) 140 %
c) 160 %
d) 175 %
e) None of these
10) Find the difference between the average number of people went for hotel A and C together to that of the average number of people went for hotel B and D together?
a) 600
b) 300
c) 750
d) 450
e) None of these
Answers :
Directions (1-5) :
1) Answer: b)
√16384 ÷ 4 × 16 = x – 18312 ÷ 12 + 142
(128/4) * 16 = x – (18312 / 12) + 196
512 = x – 1526 + 196
x = 512 + 1526 – 196 = 1842
2) Answer: a)
(7/9) * 4068 + (77/100) * 1200 = x2 – (128/16)
3164 + 924 + 8 = x2
x2 = 4096
x = 64
3) Answer: d)
(82)5 ÷ (512/8)2 × (8 × 82)3 = (8)x + 5
810 ÷ (64)2 × (83)3 = (8)x + 5
810 ÷ 84 × 89 = (8)x + 5
810 – 4 + 9 = 8x + 5
815 = 8x + 5
15 = x + 5
x = 10
4) Answer: c)
x % of (75 × 4 – 150) = 420 + 752
(x/100) * (300 – 150) = 420 + 5625
(x/100) * 150 = 6045
3x/2 = 6045
x = 6045 * (2/3) = 4030
5) Answer: a)
(7/84) * (12/156) * 4680 = 45 – x
30 = 45 – x
x = 45 – 30 = 15
Directions (6-10) :
6) Answer: a)
The total number of male eating veg from hotel A
= > 1800 * (5/9) * (48/100) = 480
The total number of female eating non-veg from hotel A
= > 1800 * (4/9) * (55/100) = 440
Required difference = 480 – 440 = 40
7) Answer: d)
The total number of people eating Veg from hotel B and D together
= > 2500 * (2/5) + 2000 * (3/5)
= > 1000 + 1200 = 2200
The total number of people eating non-veg from hotel C and E together
= > 3600 * (5/9) + 2800 * (4/7)
= > 2000 + 1600 = 3600
Required ratio = 2200 : 3600 = 11 : 18
8) Answer: b)
The total number of people eating non-veg from hotel B, C and D together
= > [2500 * (3/5) + 3600 * (5/9) + 2000 * (2/5)]
= > [1500 + 2000 + 800] = 4300
9) Answer: c)
Total number of people eating non-veg from hotel E
= > 2800 * (4/7) = 1600
Total number of people eating Veg from hotel A
= > 1800 * (5/9) = 1000
Required % = (1600 / 1000) * 100 = 160 %
10) Answer: d)
The average number of people went for hotel A and C together
= > (1800 + 3600) / 2 = 2700
The average number of people went for hotel B and D together
= > (2500 + 2000) / 2 = 2250
Required difference = 2700 – 2250 = 450
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