Mathmetics

ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams

Q41.
A milkman buys some milk. If he sells it at rupees 16 a liter, he losses 600 rupees but when he sells it at 20 a liter, he gains 600 rupees. How much milk did he purchase ?
1) 200 litre 2) 250 litre
3) 300 litre 4) 400 litre
5)None of these
Answer : 300 litre
Explanation : Let, the milkman buy x liter of milk.
He sells at at rupees 16 a liter.
SP1 = Rs.16x, but losses Rs.600/
If he sells at 20 a liter, the SP2  = Rs.20x , but gains Rs.600/ 
Difference in SP = Rs.20x - Rs.16x = Rs.4x
Difference in actual SP = Rs.600 + Rs.600 = Rs.1200
So, 4x = 1200
or x = 1200/4 = 300

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Q42.
Direction- Given here is a pie chart of the cost of gold in 2010, 2011, 2012 and 2013. Study the chart and answer the following questions.
 

If the price of gold in 2013 is Rs. 31,500 per 10 gram, then what is the price of gold in 2011 per 10 gram ?
1) Rs.17000 2) Rs.17500
3) Rs.18000 4) Rs.18500
5)None of these
Answer : Rs.17500
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Q43.
Direction- Given here is a pie chart of the cost of gold in 2010, 2011, 2012 and 2013. Study the chart and answer the following questions.

What is the ratio of the price of gold in the two years 2010 and 2013 ?
1) 1:2 2) 1:3
3) 3:4 4) 2:5
5)None of these
Answer : 1:3
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Q44.
Direction- Given here is a pie chart of the cost of gold in 2010, 2011, 2012 and 2013. Study the chart and answer the following questions.
.

What is the percentage of increase in the price of gold from the year 2011 to 2013 ?
1) 50% 2) 60%
3) 70% 4) 80%
5)None of these
Answer : 80%
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Q45.
Direction- Given here is a pie chart of the cost of gold in 2010, 2011, 2012 and 2013. Study the chart and answer the following questions.


     

What  is the ratio of percentage of increase in price of gold from 2011 to 2012 and 2012 to 2013 ?
1) 6:5 2) 7:5
3) 8:5 4) 9:5
5)None of these
Answer : 7:5
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Q46.
When 20% of a number added to another number, the second number increases by its 50%. what is the ratio between two numbers ? 
1) 2:5 2) 5:2
3) 2:3 4) 3:4
5)None of these
Answer : 5:2
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Q47.
What is the ratio of the volume of the cube to that of the  sphere which can fit inside the cube ?
1) 3 : 4 2) 21 : 11
3) 11 : 25 4) 4 : 3
5)None of these
Answer : 21 : 11
Explanation :
Let the side of the cube be ‘a’ 
Volume of the cube = a3
Diameter of the sphere = a

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Q48.
The length of a rectangle is increased to 3/2 times of its length and breadth is reduced to 1/3rd of its breadth. What is the change in area ?
1) 1/3 2) 1/4
3) 1/2 4) No change
5)None of these
Answer : 1/2
Explanation :
Let the length and breadth of the rectangle be L and B respectively.
Area = L x B = LB


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Q49.
If (13+23+33+43+ 53+63+................+103) = 3025 ,then find the value of (23+43+63+83+ 103+...............+203) 
1) 6050 2) 10060
3) 12040 4) 24200
5)None of these
Answer : 24200
Explanation : We can express ,  (23+43+63+83+ 103+...............+203) = 
23 x  (13+23+33+43+ 53+63+................+103) = 8 x  3025 = 24200
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Q50.
Given that, (12+22+32+42+ 52+62+72) = x +1 , the find the value of the following expressions:

(22+42+62+82+102+122+ 142) =  ?
1) 2(x+1) 2) 4(x+1)
3) 8(x+2) 4) 16(x+1)
5)None of these
Answer : 4(x+1)
Explanation : We can write, (22+42+62+82+102+122+ 142) = 22 x (12+22+32+42+ 52+62+72 =  4(x+1)
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