Mathmetics

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

Q31.
A rectangular carpet has an area of 60m2. Its diagonal and longer side together equal to five times the shorter side. What is the length of the carpet ? 
1) 5m 2) 12m
3) 15m 4) 24m
5)None of these
Answer : 12m
Explanation : Given, lb = 60 m2
and d2 = l2 + b2      and d + l = 5b
or d = 5b - l
So, d2 = 25b2 + l2 - 10bl
or l2 + b2 = 25 b2 + l2 - 10 x 60
or 24 b2 = 600 
or b = 5
Therefore, l = 60/5 = 12 m
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Q32.
The length of a rectangular plot of land is three times as much as its breadth. A playground measuring 1200 sq. ft. occupies one-forth of the total area of the plot.What is the length of the plot ?
1) 40 2) 120
3) 360 4) Data Inadequate
5)None of these
Answer : 120
Explanation : Let, the length of and breadth of the rectangular plot of land  be 3x and x respectively.
Total area of the plot  = 4  x 1200 = 1200 sq. ft.
So, 3x x = 4800
or 3x2 = 4800
or x = 40 ft.
Therefore length =  3 x 40 =120 ft.
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Q33.
The sum of the squares of two positive integers is 208. If the square of the larger number is 18 times the smaller number, then what would be the difference of the larger and smaller numbers ?
1) 2 2) 3
3) 4 4) 6
5)None of these
Answer : 4
Explanation : Let, the larger and smaller numbers are x and y respectively.
x2 + y2 = 208 --------- (i)
x2 = 18y 
or x2 - 18y = 0 -------- (ii)

Equating from both equation,we get 
y2 +18y - 208 = 0
or y2 + 26y - 8y - 208 = 0
or y (y+26) - 8 (y + 26) = 0
or y = 8  so, x = 12
Therefore, x-y = 12 - 8 = 4 
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Q34.
What is the remainder when 135+145 + 155 + 165  is divided  by 29 ?
1) 0 2) 3
3) 5 4) 8
5)None of these
Answer : 0
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Q35.
What would be the maximum value of Q in the equation ?

5P9 +3R7 + 2Q8 = 1114 
1) 4 2) 6
3) 8 4) 9
5)None of these
Answer : 8
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Q36.
What  should be the remainder when 2 100 is divided by 101 ?
1) 1 2) 11
3) 99 4) 100
5)None of these
Answer : 99
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Q37.
In a test, minimum passing percentage for girls and boys is 35% and 40% respectively. A boy scored 483 marks and failed by 117 marks. What is the minimum passing marks for girls ?
1) 425 2) 480
3) 520 4) 625
5)None of these
Answer : None of these
Explanation : Let, the full mark be 100%.
A boy should requires marks to pass =  483 +117 = 600 
So, the full mark = 600  i.e. 100%
So, the required mark for a girl should = (600/40) x 35 = 525
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Q38.
Directions : Study the following graph carefully and answer the question below it.

Percent Profit  earned by two companies A and B over the given years.


Ratio of expenditures of companies A and B in 2010 was 7 : 8 respectively. What was the ratio of their incomes in 2010 ? 
1) 118 : 163 2) 128 : 119
3) 121 : 147 4) 163 : 118
5)None of these
Answer : None of these
Explanation :
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Q39.
Directions : Study the following graph carefully and answer the question below it.

Percent Profit  earned by two companies A and B over the given years.




Total expenditure of company A in all the years together was Rs. 76.5 lakhs. What was the total income of the company in all the years together ?
1) Rs. 98.5 lakhs 2) Rs. 89.3 lakhs
3) Rs. 92.6 lakhs 4) Can’t be determined
5)None of these
Answer : Can’t be determined
Explanation :
As the percentage profits are different for different years, we can not find the total income

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Q40.
Directions : Study the following graph carefully and answer the question below it.

Percent Profit  earned by two companies A and B over the given years.



Expenditures of company B in 2007 and 2008 are Rs. 25 lakhs and Rs. 30 lakhs respectively. What was the total income of company B in 2007 and 2008 together ?

1) Rs. 74.8 Lakhs 2) Rs. 85.5 Lakhs
3) Rs. 68.4 Lakhs 4) Rs. 78.5 Lakhs
5)None of these
Answer : Rs. 85.5 Lakhs
Explanation :
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