# SBI Clerk 2018: Quantitative Aptitude Quiz for Prelims – 3

Hello and welcome to exampundit. Here is a set of Quantitative Aptitude Quiz for Prelims exam of SBI Clerk 2018.

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

Option: B

Explanation:

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. 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

Option: A

Explanation:

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. 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

Option: C

Explanation:

Subham’s earnings = \$200 + \$400 = \$600.

Subham’s spending = \$100 + \$300 = \$400.

Therefore, the profit earned by Subham = \$600 – \$400 = \$200.

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

Option: B

Explanation:

CP 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. 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

Option: C

Explanation:

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. 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

Option: E

Explanation: No information regarding the wife

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

Option: B

Explanation:

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. 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

Option: B

Explanation:

Length of the fence between 26 poles = 25×4=100m ( each side)

Area of the field= 1002 =10000 m2 = 1 hectare

9. Rohan is a sugarcane farmer. He processes sugar and adulterates by naking 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

Option: A

Explanation:

CP of 56 kg adulterated  sugar= (26×20)+(30×36)=Rs 1600

Sp of the 56 kg adulterated sugar= 56×30= 1680

Profit= 80/1600 x100= 5 %

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

Option: B

Explanation:

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%

Regards

Team EP

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