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Application Sums
1) The age of A, 5 years ago and the age of B, 7 years hence is in the ratio of 5: 6. C is 7 years younger than D, who is 2 years elder than B. Find the present age of D, if the average present age of A, B, C and D is 24 years?
a) 25 years
b) 30 years
c) 32 years
d) 27 years
e) None of these
2) Pipe A and B can fill the tank alone in 24 min and 36 min respectively. Both the pipes opened together but A left 8 min before filling the tank. Find the total time taken by both of them to fill the tank?
a) 18 min 24 secs
b) 19 min 12 secs
c) 20 min 16 secs
d) 21 min 18 secs
e) None of these
3) Two trains of equal length, which is equal to 400 m, running in opposite direction on parallel tracks. The speeds of two trains are 50 km/hr and 70 km/hr respectively. Find the time taken by slower train to pass the driver of the faster one?
a) 12 sec
b) 15 sec
c) 18 sec
d) 21 sec
e) None of these
4) A vessel of 240 litres contains milk and water. If 60 % of milk and 12 % of water is taken out, then the vessel will be three – fifth empty. Find the ratio of initial quantity of milk and water in the vessel?
a) 3: 5
b) 19: 5
c) 5: 1
d) 3: 1
e) None of these
5) A started a business by investing Rs. 20000. After 3 months, B joins the business and after another 3 months, C also joins with them. At the end of the year, their respective shares are in the ratio of 16 : 15 : 12. Find the difference between the investments of B to that of C?
a) Rs. 5000
b) Rs. 8000
c) Rs. 10000
d) Rs. 12000
e) None of these
6) Malar gives 30 % of his salary to his mother, 40 % of the remaining salary invested by her in two different schemes A and B, which is in the ratio of 3: 2 and the remaining he keeps in his bank account. If the difference between the amount he gives to his mother and that he invests in scheme A is Rs. 5280. Find the salary of Malar?
a) Rs. 30000
b) Rs. 50000
c) Rs. 40000
d) Rs. 45000
e) None of these
7) The distance between two places A and B is 460 Km. A car departs from place A for place B at a speed of 60 km/hr at 8 am. Another car departs from place B for place A at a speed of 40 km/hr at 9 am. At what time will both the cars meet each other?
a) 1 pm
b) 12 pm
c) 11 am
d) 2 pm
e) None of these
8) The number of employees working in a company is increased by 25 % and the wages per head are decreased by 30 %. What is the percentage decrease in the total wages?
a) 12.5 %
b) 10 %
c) 7.5 %
d) 15 %
e) None of these
9) Sabitha can copy 60 pages in 12 hours. Sabitha and Veena can copy 360 pages in 30 hours. In what time Veena can copy 420 pages?
a) 45 hours
b) 50 hours
c) 60 hours
d) 55 hours
e) None of these
10) The simple interest received on a certain sum of money for 6 years at 8 % per annum is Rs. 19200. What would be the compound interest for the same sum at 10 % per annum for 2 years, compounded half yearly?
a) Rs. 8760.75
b) Rs. 8480.50
c) Rs. 8620.25
d) Rs. 8540.75
e) None of these
Answers :
1) Answer: A
The age of A, 5 years ago and the age of B, 7 years hence is in the ratio = 5: 6
Present age of A and B = 5x + 5, 6x – 7
D = B + 2 = 6x – 7 + 2 = 6x – 5
C = D – 7 = 6x – 5 – 7 = 6x – 12
The average present age of A, B, C and D = 24 years
5x + 5 + 6x – 7 + 6x – 5 + 6x – 12 = 24 * 4
23x – 19 = 96
23x = 115
x = 115/23 = 5
The present age of D = 6x – 5 = 25 years
2) Answer: B
Let the total time taken by both of them to fill the tank be x,
(x – 8)/24 + x/36 = 1
(3x – 24 + 2x)/72 = 1
5x – 24 = 72
5x = 96
x = 96/5 = 19 (1/5) min = 19 min 12 secs
3) Answer: A
Relative speed = (50 + 70) * (5/18) = 100/3 m/s
We have to find the time taken by slower train to cross the driver of the faster one. They didn’t mean to cross full faster train. They told only to cross the driver. So,
The distance covered = The length of slower train = 400 m
Required time = 400/(100/3) = 12 sec
4) Answer: E
M + W = 240 –> (1)
(60/100) * M + (12/100) * W = 240 * (2/5)
60M + 12W = 9600
5M + W = 800 —> (2)
By solving the equation (1) and (2), we get,
M = 140 liters, W = 100 liters
Required ratio = 140: 100 = 7: 5
5) Answer: A
The share of A, B and C,
= > [20000 * 12] : [B * 9] : [C * 6] = 16 : 15 : 12
= > 240000 : 9B : 6C = 16 : 15 : 12
16’s = 240000
1’s = 15000
9B = 225000
B = 25000
6C = 180000
C = 30000
Required difference = 30000 – 25000 = Rs. 5000
6) Answer: C
Let the salary be x,
Given,
x * (30/100) – x * (70/100) * (40/100) * (3/5) = 5280
(30x/100) – (84x/500) = 5280
66x = 5280 * 500
x = (5280 * 500) / 66 = Rs. 40000
7) Answer: A
Distance = time * speed
Distance to be covered after 9 am = 460 – 60 = 400
Required time = 400 / (60 + 40) = 4 h
The cars meet at 9 am + 4 = 1 pm
(Or)
8) Answer: A
Let the total employees be 100 and wages per head = Rs. 100
Total wages = 100 * 100 = Rs. 10000
New total wages = 100 * (125/100) * 100 * (70/100) = 8750
% decrease = (1250 / 10000) * 100 = 12.5 %
9) Answer: C
Sabitha’s 1 hour work = (60/12) = 5 pages
(Sabitha + Veena)’s 1 hour work
= > (360/30) = 12 pages
Veena’s 1 hour work = 12 – 5 = 7 pages
Veena can copy 420 pages in,
= > (420 / 7) = 60 hours
10) Answer: C
SI = PNR / 100
19200 = (P * 6 * 8) / 100
P = (19200 * 100) / 48 = Rs. 40000
Compound interest:
40000 * (5/100) = 2000
42000 * (5/100) = 2100
44100 * (5/100) = 2205
46305 * (5/100) = 2315.25
CI = 2000 + 2100 + 2205 + 2315.25 = Rs. 8620.25
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