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Directions (1 – 5): What value should come in place of question mark (?) in the following questions?
1) 45 × 270 ÷ 9 + ? – 4900 = 256 ÷ 8 + 122
a) 3726
b) 3850
c) 2538
d) 2962
e) None of these
2) 3 × 36 + 32% of 4500 – 26 % of 1300 =?
a) 1860
b) 1655
c) 1210
d) 1435
e) None of these
3) (1.21)4 ÷ (1331 ÷ 1000)3 × (0.11 × 10)3 = (1.1)? – 2
a) 7
b) 5
c) 6
d) 4
e) None of these
4) 42 % of 1800 – 350 ÷ 14 + 143 – (5/9) of 135 = ?
a) 1850
b) 3400
c) 3250
d) 1700
e) None of these
5) 3 (4/7) + 5 (3/14) – 4 (½) + 6 (1/14) = ? – 2 (1/7)
a) 13 (3/7)
b) 11 (5/7)
c) 12 (½)
d) 10 (3/14)
e) None of these
Directions (6 – 10): Study the following information carefully and answer the given questions:
The following bar graph shows the number of projects handled by 2 different companies in 6 different years.
 
6) Find the difference between the total number of projects handled by company A in the year 2013, 2015 and 2017 together and total number of projects handled by company B in the year 2012, 2014 and 2016 together.
a) 360
b) 220
c) 280
d) 450
e) None of these
7) Total number of projects handled by both the companies together in the year 2014 is approximately what percentage of total number of projects handled by both the companies together in the year 2016?
a) 78 %
b) 85 %
c) 96 %
d) 69 %
e) 53 %
8) Find the average number of projects handled by company A in all the given years together.
a) 450
b) 380
c) 290
d) 420
e) None of these
9) Find the ratio between the total number of projects handled by both the companies together in the year 2012 to that of 2017.
a) 49: 133
b) 28: 117
c) 57: 124
d) 32: 99
e) None of these
10) Find the difference between the average number of projects handled by company A in the year 2012, 2014 and 2016 together to that of the average number of projects handled by company B in the year 2013, 2015 and 2017 together.
a) 45
b) 70
c) 75
d) 60
e) None of these
Answers :
Direction (1-5) :
1) Answer: a)
45 × 270 ÷ 9 + x – 4900 = 256 ÷ 8 + 122
1350 + x – 4900 = 32 + 144
x = 32 + 144 + 4900 – 1350
x = 3726
2) Answer: c)
3 × 36 + 32% of 4500 – 26 % of 1300 = x
x = 108 + 1440 – 338 = 1210
3) Answer: d)
(1.21)4 ÷ (1331 ÷ 1000)3 × (0.11 × 10)3 = (1.1)x – 2
((1.1)2)4 ÷ (1.1)9 × (1.1)3 = (1.1)x– 2
(1.1)8 ÷ (1.1)9 × (1.1)3 = (1.1)x– 2
(1.1)8 – 9 + 3 = (1.1)x – 2
(1.1)2 = (1.1)x – 2
2 = x – 2
x = 4
4) Answer: b)
(42/100)*1800 – (350/14) + 2744 – (5/9)*135 = x
x = 756 – 25 + 2744 – 75
x = 3400
5) Answer: c)
3 (4/7) + 5 (3/14) – 4 (½) + 6 (1/14) + 2 (1/7) = x
x = (3 + 5 – 4 + 6 + 2) (4/7 + 3/14 – ½ + 1/14 + 1/7)
x = 12 [(8 + 3 – 7 + 1 + 2)/14] = 12 (7/14)
x = 12 (½)
Direction (6-10) :
6) Answer: b)
The total number of projects handled by company A in the year 2013, 2015 and 2017 together
= >360 + 450 + 640 = 1450
The total number of projects handled by company B in the year 2012, 2014 and 2016 together
= >320 + 360 + 550 = 1230
Required difference = 1450 – 1230 = 220
7) Answer: d)
Total number of projects handled by both the companies together in the year 2014
= >420 + 360 = 780
Total number of projects handled by both the companies together in the year 2016
= >580 + 550 = 1130
Required % = (780/1130)*100 = 69 %
8) Answer: a)
The total number of projects handled by company A in all the given years together
= > 250 + 360 + 420 + 450 + 580 + 640 = 2700
Required average = 2700/6 = 450
9) Answer: c)
The total number of projects handled by both the companies together in the year 2012
= >250 + 320 = 570
The total number of projects handled by both the companies together in the year 2017
= >640 + 600 = 1240
Required ratio = 570: 1240 = 57: 124
10) Answer: d)
The average number of projects handled by company A in the year 2012, 2014 and 2016 together
= > (250 + 420 + 580)/3 = 1250/3
The average number of projects handled by company B in the year2013, 2015 and 2017 together
= > (400 + 430 + 600)/3 = 1430/3
Required difference = (1430 – 1250)/3 = 180/3 = 60
