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[WpProQuiz 7592]
Application sums     Â
1) A, B and C started a business by investing Rs. 15000, Rs. 20000 and Rs. 25000 respectively. After 4 months, A invested Rs. 5000 more but B withdraw Rs. 3000. And after 5 months, C invested Rs. 5000 more. Find the total profit at the end of the year, if the share of C is Rs. 78750?
a) 187750
b) 168250
c) 172500
d) 196500
e) None of these
2) There are 5 consecutive odd numbers and 7 consecutive even numbers. The sum of 5 consecutive odd numbers is 125 and the lowest even number is 3 more than the thrice of the average of 5 consecutive odd number. Find the ratio between the second largest odd number to that of highest even number?
a) 1 : 2
b) 3: 10
c) 2 : 9
d) 9 : 2
e) None of these
3) A box contains 6 yellow marbles, 4 brown marbles and 5 green marbles. If 3 balls are drawn at randomly, then find the probability of getting at least one yellow marbles?
a) 53/65
b) 47/72
c) 36/49
d) 75/113
e) None of these
4) The speed of the man in still water is 12 km/hr and the rate of flow of water is 4 km/hr. He takes 9 hours to row to a place and come back. Find the distance between these two places?
a) 48 km
b) 72 km
c) 86 km
d) 64 km
e) None of these
5) Divide Rs. 65000 into two parts such that the simple interest on the first part for 4 years at 12 % per annum is equal to the simple interest on the second part for 6 years at 5 % per annum. Find the two parts?
a) Rs. 33000 and Rs. 32000
b) 25000 and Rs. 40000
c) 20000 and Rs. 45000
d) 30000 and Rs. 35000
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 students completed their UG degree in different years in a certain college and the ratio of male and female. The percentage of peoples employed in MNC companies and the remaining peoples are doing own business.
6) Find the ratio between the total number of students employed in MNC companies in the year 2014 and the total number of peoples who completed their UG degree in 2018 and doing business?
a) 155 : 79
b) 217 : 113
c) 346 : 251
d) 52 : 15
e) None of these
7) Find the average number of students who completed their UG degree in all the given years together?
a) 1820
b) 1640
c) 2280
d) 2060
e) None of these
8) Find the difference between the total number of males who completed their degree in the year 2015 to that of total number of females who completed their degree in the year 2017?
a) 500
b) 750
c) 600
d) 900
e) None of these
9) The total number of peoples employed in MNC companies in the year 2015 is approximately what percentage of total number of peoples employed in MNC companies in the year 2017?
a) 126 %
b) 88 %
c) 103 %
d) 147 %
e) 165 %
10) The total number of peoples who completed their UG degree in 2016 and doing business is what percentage more/less than the total number of female students who completed their UG degree in the year 2014?
a) 36 % more
b) 52 % less
c) 36 % less
d) 52 % more
e) 64 % more
Answers :
Direction (1-5) :
1) Answer: a)
The share of A, B and C,
= > [15000 * 4 + 20000 * 8] : [20000 * 4 + 17000 * 8] : [25000 * 9 + 30000 * 3]
= > [60000 + 160000] : [80000 + 136000] : [225000 + 90000]
= > 220000 : 216000 : 315000
= > 220 : 216 : 315
The share of C = 78750
315’s = 78750
1’s = 250
Total profit = 751’s = Rs. 187750
2) Answer: b)
The sum of 5 consecutive odd numbers = 125
Average of 5 consecutive odd numbers = 125/5 = 25
The average of consecutive number/odd/even number is always the middle number. So, the 5 consecutive odd numbers,
= > 21, 23, 25, 27, 29
The lowest even number = 3 * 25 + 3 = 75 + 3 = 78
The 7 consecutive even numbers,
= > 78, 80, 82, 84, 86, 88, 90
Required ratio = 27 : 90 = 3 : 10
3) Answer: a)
Total probability = 15C3
Required probability = 1 – P (None is yellow)
Probability of getting none is yellow marbles,
= > 9C3 / 15C3 = 12/65
Required probability = 1 – (12/65) = 53/65
4) Answer: a)
Let the distance be x,
Speed of man in still water = 12 km/hr
Speed of stream = 4 km/hr
Speed of upstream = 12 – 4 = 8 km/hr
Speed of downstream = 12 + 4 = 16 km/hr
According to the question,
(x / 16) + (x / 8) = 9
(x + 2x) / 16 = 9
x = 48 km
(Or)
Distance = Time * [(Speed of still water2 – Speed of stream2) / (2* Speed of still water)]
D = 9 * [(144 – 16) / (2 * 12)]
D = 9 * [128 / 24] = 48 km
5) Answer: b)
Let two parts be x and 65000 – x,
(x * 4 * 12) / 100 = [(65000 – x) * 6 * 5]/100
48x = 1950000 – 30x
78x = 1950000
x = 1950000 / 78 = 25000
Two parts are Rs. 25000 and Rs. 40000
(Or)
(P1 * 4 * 12) / 100 = (P2 * 6 * 5) / 100
(P1 / P2) = (5/8)
13’s = 65000
1’s = 5000
The two parts are, Rs. 25000 and Rs. 40000
Directions (6-10) :
6) Answer: e)
The total number of students employed in MNC companies in the year 2014
= > 1800 * (68/100)
The total number of students who completed their UG degree in 2018 and doing business
= > 2500 * (20/100)
Required ratio = [1800 * (68/100)] : [2500 * (20/100)]
= > 306 : 125
7) Answer: d)
The average number of students who completed their UG degree in all the given years together
= > (1800 + 2400 + 1600 + 2000 + 2500) / 5
= > (10300/5) = 2060
8) Answer: a)
The total number of males who completed their degree in the year 2015
= > 2400 * (2/3) = 1600
The total number of females who completed their degree in the year 2017
= > 2000 * (11/20) = 1100
Required difference = 1600 – 1100 = 500
9) Answer: c)
The total number of peoples employed in MNC companies in the year 2015
= > 2400 * (72/100) = 1728
The total number of peoples employed in MNC companies in the year 2017
= > 2000 * (84/100) = 1680
Required % = (1728/1680) * 100 = 102.85 % = 103 %
10) Answer: b)
The total number of peoples who completed their UG degree in 2016 and doing business
= > 1600 * (24/100) = 384
The total number of female students who completed their UG degree in the year 2014
= > 1800 * (4/9) = 800
Required % = [(800 – 384) / 800] * 100 = 52 % less