Mathmetics
ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams
Q51. 

1)  16 cm  2)  18 cm 
3)  24 cm  4)  Data Inadequate 
5)  None of these 
Answer : 18 cm
Explanation :
Explanation :
2(l + b) /b = 5/1 or 2l + 2b = 5b
or 3b = 2l b =2l/3
Then, Area = 216 cm2
l x b = 216
l x2l/3 = 216 or l^{2 }= 324
or l = 18 cm.
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Q52. 

1)  15 mtrs  2)  26 mtrs 
3)  25 mtrs  4)  20 mtrs 
5)  None of these 
Answer : 20 mtrs
Explanation :
Explanation :
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Q53. 

1)  132 sq.m  2)  155 sq. m 
3)  135 ares  4)  155 ares 
5)  None of these 
Answer : 135 ares
Explanation :
Explanation :
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Q54. 
1)  0  2)  1 
3)  2  4)  3 
5)  None of these 
Answer : 3
Explanation :
Explanation :
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Q55. 
1)  21  2)  23 
3)  25  4)  27 
5)  None of these 
Answer : 23
Explanation : We know that,
Explanation : We know that,
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Q56. 
1)  1  2)  2 
3)  4  4)  5 
5)  None of these 
Answer : None of these
Explanation :
Explanation :
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Q57.  a 
1)  z  2)  x 
3)  c  4)  c 
Answer : z
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Q58.  A rectangular carpet has an area of 60m^{2}. 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 m^{2}
Explanation : Given, lb = 60 m^{2}
and d^{2 =} l^{2} + b^{2 } and^{ }d + l = 5b
or d = 5b  l
So, d^{2} = 25b^{2} + l^{2}  10bl
or l^{2} + b^{2} = 25 b^{2} + l^{2}  10 x 60
or 24 b^{2} = 600
or b = 5
Therefore, l = 60/5 = 12 m
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Q59.  The length of a rectangular plot of land is three times as much as its breadth. A playground measuring 1200 sq. ft. occupies oneforth 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.
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 x = 4800
or 3x^{2} = 4800
or x = 40 ft.
Therefore length = 3 x 40 =120 ft.
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Q60.  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.
Explanation : Let, the larger and smaller numbers are x and y respectively.
x^{2} + y^{2} = 208  (i)
x^{2} = 18y
or x^{2}  18y = 0  (ii)
Equating from both equation,we get
y^{2} +18y  208 = 0
or y^{2} + 26y  8y  208 = 0
or y (y+26)  8 (y + 26) = 0
or y = 8 so, x = 12
Therefore, xy = 12  8 = 4
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