Tuesday, March 14, 2017

SBI PO Prelims 2017: Quantitative Aptitude Quiz - Set 7 | Word Problems


Hello and welcome to exampundit. So here is a set of SBI PO Prelims Quantitative Aptitude Quiz 2017.




1. An oil reservoir having 2 pipes connected to it is 3/4th full. The pipe from West direction can fill the reservoir in 10 minutes and pipe from east direction can empty it in 6 minutes. If the western and eastern pipe are opened together at the same time, in how much duration will the tanker empty/ fill completely?
a) 6 minutes fill
b) 3.75 minutes empty
c) 3.75 minutes fill
d) 5 minutes empty
e) None


2. Harry and Mary started a poultry farm by investing Rs. 16,000 and Rs. 12,000 respectively. When the poultry farm completed 3 months, Harry withdrew Rs. 5000  while Mary invested Rs. 5000 more. After the half yearly anniversary of the setup of poultry farm, Deepak joins the business with a capital of Rs. 21,000, The share of Mary exceeds that of Deepak, out of a total profit of Rs. 26,400 after one year by:
a) 3600
b) 3700
c) 3500
d) 3000
e) None


3. Subham bought a book from me at $100 and sold it to me for $200. He bought it back from me for $300 and then sold it back to me for $400. Did Subham make any profit in this process? If yes, how much ?
a) $100
b) $300
c) $200
d) $250
e) $50


4. The profit( in percentage) earned by three shopkeepers X, Y and Z is 10 %, 20 % and 25% and ratio of the CP of their products is 1:2:4. Also, the ratio of number of goods solved by the three shopkeepers is 2:5:2 respectively, then overall profit percentage earned by the three shopkeepers is?
a) 18.5%
b) 21%
c) 75%
d) 68 %
e) None


5. The ratio of total weekly sales of two international books A and B is 4:5 and the ratio of their printing charges is 5:6. What is the ratio of profits earned by the books A and B , if A’s profit is equal to its 8th of its sales.
a) 4:3
b) 3:4
c) 5:8
d) 8:5
e) None



6. Six years ago, there were 7 members in Gopal’s family and then the average age of his family was 49 years. Then, Gopal got married and had a daughter., but the average age of the family remained the same. The present age of Gopal’s wife is
a) 28
b) 26
c) 31
d) 30
e) Cannot be determined


7. The total age of all the guests in a party was 540 years. If a Kashmiri couple left the party, the average remains unchanged. The wife and husband had same date of birth. Therefore , the average age of this couple and the total number of guests respectively will be :
a) 18, 27
b) 20 ,27
c) 15,38
d) Cannot be determined
e) None


8. Aakash is a witty farmer. He always makes sure his farm is safe from trespassers. Hence he builds up a square shaped fence around his field . He uses 26 steel poles in each side, with a distance of 4m between each pole. What is Aakash’s field’s area?
a) 2.76 milihectare
b) 1 hectare
c) 1.6 milihectare
d) 2.76 hectare
e) None


9. Rohan is a sugarcane farmer. He processes sugar and adulterates by making a mixture by mixing 26 kg of sugar at rs 20 per kg with 30 kg of sugar obtained in a different batch at rs 36 per kg and marks the selling price of the sugar at Rs 30 per kg. His profit percent is :
a) 5%
b) 10%
c) 15%
d) No profit no loss
e) None



10. Equal amounts of each Rs 48392 is lend to two persons for 3 years. One @ 30 % SI and other @ 30 % CI annually. By how much percent the CI is greater than the SI in these 3 years?
a) 23%
b) 33%
c) 33.33%
d) 45%
e) None




Answers & Solutions - Tap to show
1. B
Clearly, pipe from east is faster than pipe from west and so, the tank will be emptied.
Part to be emptied = 3/4th
Part emptied by (eastern + western pipe ) in 1 minute = (1/6 - 1/10) = 1/15
1/15 : 3/4 :: 1 : x
x = (3/4 * 1 * 15) = 3.75 min.
So, the tank will be emptied in 3.75 min.


2. A
Harry : Mary : Deepak =
(16000 * 3 + 11000 * 9) : (12000 * 3 + 17000 * 9) : (21000 * 6)
= 147 : 189 : 126
= 7 : 9 ; 6.
Difference of Mary and Deepak 's shares = Rs. ( 26400 * 9/22 - 26400 * 6/22 ) = Rs.
3600


3. C
Subham’s earnings = $200 + $400 = $600.
Subham’s spending = $100 + $300 = $400.
Therefore, the profit earned by Subham = $600 - $400 = $200.


4. C
P of all the 3 shopkeepers = 2xy+5x*2y+2x*4y=20xy
Profit of X= 0.2xy
Y=2xy
Z=2xy
% profit= 4.2xy/20xy *100 = 21%


5. C
Let their monthly sales = a/4x and b/5y
And their monthly expenditure = 5y and 6y
Given, A’s profit = 4x/8 = x/2
So,4x - 5y = x/2=>4x - x/2 = 5y
7x = 10y=>y= (7/10)x
Profit of B = 5x – 6y
= 5x – (6*7/10)x
= (25x – 21x) / 5
= 4x/5
So the ratio of their profit is
x/2 : 4x/5=>ratio=5:8


6. E
No information regarding the wife.


7. B
Solve through options
Let number of total guests be 27
540/27=20=average age of all guests
After the couple leaves the average=[540-(2*20)]/25=20(unchanged)
Hence option b 20,27 is correct


8. B
Length of the fence between 26 poles = 25x4=100m ( each side)
Area of the field= 1002 =10000 m2 = 1 hectare


9. A
CP of 56 kg adulterated sugar= (26x20)+(30x36)=Rs 1600
Sp of the 56 kg adulterated sugar= 56x30= 1680
Profit= 80/1600 x100= 5 %


10. B
100(1.3)3=219.7
=>CI=119.7
SI=(100x3x30)/90=90
CI is greater than SI by Rs 29.7 (i.e. 119.7-90)
% increase= 29.7/90 x100= 33%











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