Mathmetics
ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams
Q1.  A shopkeeper marks up his goods by 50%. However, he could sell only onethird of his stock at this price. The half of the remaining stock was sold at a discount of 7.14% and remaining at a discount of 16.67%. What is the overall percentage profit of the trader ? 
1)  28%  2)  32% 
3)  36%  4)  38% 
5)  None of these 
Answer : 38%
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Q2.  If a  b = 9 and a^{2} + b^{2} = 125, the what should be the value of ab ? 
1)  16  2)  18 
3)  20  4)  22 
5)  None of these 
Answer : 22
Explanation :
Explanation :
First Method::
We know that, 2ab = (a^{2} + b^{2})  (a  b)^{2} = 125  81 = 44 or ab = 22.
Second Method:
We know that, (a  b)^{2} = a^{2} + b^{2} 2ab = 125 2ab or 81 = 125 2ab or 2ab = 12581 =44
or ab =44/2=22
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Q3.  A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct ? 
1)  2 p.m. on Tuesday  2)  1 p.m. on Friday 
3)  3 p.m. on Thursday  4)  2 p.m. on Wednesday 
5)  None of these 
Answer : 2 p.m. on Wednesday
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Q4. 

1)  12.5%  2)  17.5% 
3)  19%  4)  21% 
5)  None of these 
Answer : 19%
Explanation : Allegation Method:
Explanation : Allegation Method:
10% (C) x% (D)
15% (M)
(DM) = x15 (MC) = 15 10=5
So, x15 / 5 = 4/5
or x =15+4= 19%
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Q5. 

1)  288  2)  360 
3)  365  4)  435 
5)  None of these 
Answer : 365
Explanation : LCM of 6,8,9 and 10 is 360.
Explanation : LCM of 6,8,9 and 10 is 360.
So, total numbers of dozens of oranges are 360 +5 = 365
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Q6. 

1)  30  2)  31 
3)  32  4)  35 
5)  None of these 
Answer : 30
Explanation : HCF of 408 and 312 is 24.
Explanation : HCF of 408 and 312 is 24.
So, total numbers of sections = (408+312) /24 = 30
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Q7. 

1)  90 and 24  2)  120 and 24 
3)  120 and 54  4)  180 and 114 
5)  None of these 
Answer : 90 and 24
Explanation : The factors of 360 = 2 X 2 X 2 X 3 X 3 X 5
Explanation : The factors of 360 = 2 X 2 X 2 X 3 X 3 X 5
So, two numbers are 2 X 2 X 2 X 3 =24 and 2 X 3 X 3 X 5 = 90
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Q8. 

1)  Neither I nor II  2)  Either I or II 
3)  Both I and II  4)  Only II 
5)  Only I 
Answer : Either I or II
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Q9.  If x=2015, y=2014 and 2013 , then x^{2}+y^{2}+z^{2} xyyzzx = ? 
1)  2  2)  3 
3)  4  4)  6 
5)  None of these 
Answer : 3
Explanation : ATQ: x^{2}+y^{2}+z^{2} xyyzzx
Explanation : ATQ: x^{2}+y^{2}+z^{2} xyyzzx
= x^{2}xy+y^{2} yz+z^{2}zx
= x(xy) + y((yz) + z(zx)
= 2015(20152014) + 2014(20142013)+2013(20132015)
= 2015 + 2014 + 4026
=40294026 =3
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Q10. 

1)  12.25  2)  11.5 
3)  11.125  4)  12.5 
5)  None of these 
Answer : None of these
Explanation : x .5, x1.5, x 2.5, x 3.5 , x 4.5 and so on
Explanation : x .5, x1.5, x 2.5, x 3.5 , x 4.5 and so on
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