Mathmetics
ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams
Q521. 

1)  565  2)  664 
3)  742  4)  756 
5)  None of these 
Answer : 756
Explanation :
Explanation :
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Q522. 

1)  Rs. 4462.50  2)  Rs. 8032.50 
3)  Rs. 8900  4)  Rs. 8925 
5)  None of these 
Answer : Rs. 8925
Explanation :
Explanation :
Principal = (100 x 4016.25 ) / ( 9 x 5) = Rs. 8925.
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Q523. 

1)  Rs. 650  2)  Rs. 690 
3)  Rs. 698  4)  Rs. 700 
5)  None of these 
Answer : Rs. 698
Explanation :
Explanation :
S.I. for 1 year = Rs. (854  815) = Rs. 39.
S.I. for 3 years = Rs.(39 x 3) = Rs. 117.
Principal = Rs. (815  117) = Rs. 698.
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Q524. 

1)  Rs. 800  2)  Rs. 900 
3)  Rs. 1100  4)  Rs. 870 
5)  None of these 
Answer : Rs. 900
Explanation :
Explanation :
Let the sum lent at 8% be Rs. x and that at 6% be
Rs. (1550  x).
or (X x 8 x 1/100 ) + [ {(1500 X) x 6 x 1}/ 100 ] = 106
or 8 x + 9300  6 x = 10600
or 2 x = 1300
or x = 650
Money lent at 8% = Rs.650.
Money lent at 6% = Rs(1550  650) = Rs. 900
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Q525.  A sum was put at S.I. at certain rate for 5 years. Had it been put at 4% higher rate, it would have fetched Rs. 60 more. What was the sum ? 
1)  Rs.280  2)  Rs.300 
3)  Rs.320  4)  Rs.400 
5)  None of these 
Answer : Rs.300
Explanation :
Explanation :
Let Principal =P, Rate of Interest = R
Given, T = 5 So, (P x 5 x R) / 100
Now new rate of interest =( R+ 4) %
So, S.I. = {P x 5 x (R+ 5%) } / 100
Then, {P x 5 x (R+ 5%) } / 100  (P x 5 x R) / 100 = 60
or P /60 = 5 or P= Rs. 300
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Q526. 

1)  12 min  2)  15 min 
3)  18 min  4)  20 min 
5)  None of these 
Answer : 15 min
Explanation :
Explanation :
Let pipe A fills the cistern in x minutes.
Therefore, pipe B will fill the cistern in (x + 5) minutes.
1/x + 1/x+1 = 1/6
or x = 10
Hence pipe B can fill the cistern in 10 +5 = 15 min.
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Q527. 

1)  40 hours  2)  42 hours 
3)  43 hours  4)  45 hours 
5)  None of these 
Answer : 42 hours
Explanation :
Explanation :
Resultant work done by both the pipes in one hour i.e. (1/6 + 1/7) = 1/42
of cistern.
The whole cistern will be emptied in 42 hours.
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Q528. 

1)  81 min.  2)  108 min. 
3)  108 min.  4)  192 min. 
5)  None of these 
Answer : None of these
Explanation :
Explanation :
Let the slower pipe alone will fill the tank in x minutes.
Then faster pipe will fill it in x/3 minutes. then,1/x + 3/x = 1/36 or 4/x = 1/36
or x = 144 min.
So, the slower pipe can fill the tank in 144 min.
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Q529. 

1)  Rs.1800  2)  Rs.3300 
3)  Rs.3350  4)  Rs.3375 
5)  None of these 
Answer : Rs.3300
Explanation :
Explanation :
Calculate the equivalent capital for 1 month for each :
A's capital = Rs. (20002)) = Rs. 24000
B's capital = Rs. (30004 + 40008) = Rs. 44000
C's capital = Rs. (40009 + 30003) = Rs. 45000
Ratio of capitals : 24000 : 44000 : 45000 = 24 : 44 : 45
B's share = Rs .(8475 X 44 )/11 = Rs.3300
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Q530. 

1)  Rs.300  2)  Rs.330 
3)  Rs.430  4)  Rs,560 
5)  None of these 
Answer : Rs.330
Explanation :
Explanation :
Let A invest Rs. 4 & B invest Rs.5. A withdraws (1/4) x 4 = Rs.1
B withdraws (1/5) x 5= Rs. 1
Calculating the equivalent capital for 1 months :
A’s capital = Rs. (43 + 37) = Rs. 33
B’s capital = Rs. (53 + 47) = Rs. 43
Ratio of capitals = 33 : 43
A’s share = Rs.(760 x 30) /76 =Rs.330
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