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Application Sums
1) A, B and C can complete 60%, 75% and 80% of the work respectively in 15 days, 12 days and 16 days respectively. In how many days A, B and C together can complete the work?
a) 4(34/61) days
b) 5(34/61) days
c) 7(34/61) days
d) 6(34/61) days
e) None of these
2) The average weight of the class is 48 kg. If two new students joined the class, then the average weight of the class increased by 1 kg and the average weight of that two new students is 56.5 kg. What is the initial number of students in the class?
a) 12
b) 15
c) 17
d) 16
e) None of these
3) The ratio of the income of A and B is 4:5 and the ratio of the expenditure of A and B is 3:2. If the total savings of A and B is Rs.2000, then what is the income of A?
a) Rs.40000
b) Rs.20000
c) Rs.16000
d) Rs.8000
e) Cannot be determine
4) If the area of the equilateral triangular area is 16√3 cm2 and the side of the triangle is 2 cm less than the breadth of the rectangle whose area is 140 cm2, then what is the perimeter of the rectangle?
a) 36 cm
b) 46 cm
c) 48 cm
d) 42 cm
e) None of these
5) If two times of the first number is subtracted from 3 times of second number is 24 and the difference between first and second number is 3. If second number is greater than first number, then find second number?
a) 13
b) 15
c) 18
d) 20
e) None of these
Data Interpretation
Directions (6 – 10): Study the following information carefully and answer the questions given below?
The given bar graph shows the total number of students and number of boys in five different departments in a college in 2018.
6) The number of girls in civil department is approximately what percent of the total number of students in that department?
a) 50%
b) 51%
c) 52%
d) 53%
e) None of these
7) What is the ratio of the number of boys to girls in CSE and ECE department together?
a) 3:2
b) 2:1
c) 4:3
d) 5:4
e) None of these
8) What is the average number of girls in all the departments together?
a) 158
b) 161
c) 160
d) 162
e) 155
9) What is the difference between the number of boys and girls in EEE department?
a) 30
b) 50
c) 80
d) 100
e) 40
10) What is the difference between the average number of boys and girls in all the departments together?
a) 56
b) 58
c) 62
d) 64
e) None of these
Answers :
Directions (1-5) :
1) Answer: D
A = 100/60 * 15 = 25
B = 100/75 * 12 = 16
C = 100/80 * 16 = 20
A + B + C = 1/25 + 1/16 + 1/20
= 16 + 25 + 20/400
= 61/400
Required time = 400/61
= 6(34/61) days
2) Answer: B
Total number of students = x
Total weight of the class = 48 * x
Total weight of new students = 56.5 * 2 = 113
48x + 113/(x + 2) = 49
48x + 113 = 49x + 98
x = 15
3) Answer: E
The savings of A and B is not given individually. Total savings of A and B only given. So, we can’t determine the income of A.
4) Answer: C
√3/4 * a2 = 16√3
a = 8 cm
Breadth of the rectangle = 8 + 2 = 10 cm
Length of the rectangle = 140/10 = 14 cm
Perimeter of the rectangle = 2 * (10 + 14)
= 48 cm
5) Answer: C
First number = x
Second number = y
3y – 2x = 24 ——- (1)
y – x = 3 ——-(2)
(2) * 2 – (1)
-y = -18
Y = 18
Directions (6-10) :
6) Answer: C
Required percentage = (250 – 120)/250 * 100 = 52%
7) Answer: B
Number of girls in CSE = 400 – 280 = 120
Number of girls in ECE = 500 – 320 = 180
Required ratio = (280 + 320):(120 + 180)
= 600:300
= 2:1
8) Answer: D
Girls in CSE = 400 – 280 = 120
Girls in ECE = 500 – 320 = 180
Girls in EEE = 350 – 200 = 150
Girls in Mech = 450 – 220 = 230
Girls in Civil = 250 – 120 = 130
Required Average = (120 + 180 + 150 + 230 + 130)/5
= 162
9) Answer: B
Number of girls in EEE = 350 – 200 = 150
Required difference = 200 – 150 = 50
10) Answer: E
Girls in CSE = 400 – 280 = 120
Girls in ECE = 500 – 320 = 180
Girls in EEE = 350 – 200 = 150
Girls in Mech = 450 – 220 = 230
Girls in Civil = 250 – 120 = 130
Average of girls = (120 + 180 + 150 + 230 + 130)/5
= 162
Average of boys = (280 + 320 + 200 + 220 + 120)/5 = 228
Difference = 228 – 162 = 66
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