Mathmetics
ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams
Q61.  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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Q62.  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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Q63.  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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Q64.  What is the remainder when 13^{5}+14^{5} + 15^{5} + 16^{5} is divided by 29 ? 
1)  0  2)  3 
3)  5  4)  8 
5)  None of these 
Answer : 0
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Q65.  What would be the maximum value of Q in the equation ? 
1)  4  2)  6 
3)  8  4)  9 
5)  None of these 
Answer : 8
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Q66.  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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Q67. 

1)  425  2)  480 
3)  520  4)  625 
5)  None of these 
Answer : None of these
Explanation : Let, the full mark be 100%.
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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Q68. 

1)  118 : 163  2)  128 : 119 
3)  121 : 147  4)  163 : 118 
5)  None of these 
Answer : None of these
Explanation :
Explanation :
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Q69. 

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 :
Explanation :
As the percentage profits are different for different years, we can not find the total income
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Q70. 

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 :
Explanation :
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