Mathmetics

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

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Q1.
A shopkeeper marks up his goods by 50%. However, he could sell only one-third 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 a2 + b2 = 125, the what should be the value of ab ?
1) 16 2) 18
3) 20 4) 22
5)None of these
Answer : 22
Explanation :

First Method::

We know that, 2ab = (a2 + b2) - (a - b)2 = 125 - 81 = 44   or   ab = 22.

Second Method: 

We know that, (a - b)2 = a2 + b2 -2ab = 125- 2ab   or  81 = 125 -2ab   or  2ab = 125-81 =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.
The weights of two persons A and B are in the ratio of 4 : 5. The weight of 'A' increases by 10% and the total weight of A and B together becomes 82.8 kg, with an overall increase of 15%. By what per cent did the weight of B increase ?
1) 12.5% 2) 17.5%
3) 19% 4) 21%
5)None of these
Answer : 19%
Explanation : Allegation Method:

 10%  (C)                        x%  (D)



                  15% (M)


  (D-M) = x-15                 (M-C) = 15 -10=5

So, x-15 / 5 = 4/5
or x =15+4= 19%




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Q5.
When in each box 6 or 8 dozens of oranges were packed, five dozens were remaining. Therefore, bigger boxes were taken to pack 9 or 10 dozens of oranges. However still five dozens of oranges remains. What was the least number of dozens of oranges to be packed ?
1) 288 2) 360
3) 365 4) 435
5)None of these
Answer : 365
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.
There are 408 boys and 312 girls in a school which are to be divided into equal sections of either boys or girls alone. what should be the total number of sections thus formed ?
1) 30 2) 31
3) 32 4) 35
5)None of these
Answer : 30
Explanation : HCF of 408 and 312 is 24.
So, total numbers of sections = (408+312) /24  = 30
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Q7.
What are the two natural numbers whose difference is 66 and the LCM is 360 ?
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
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.
A shopkeeper sells some articles on profit of 20% of the cost price. Find out the actual Gain ?
I. Selling price of the article.
II. Cost price of the article
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 x2+y2+z2 -xy-yz-zx = ?
1) 2 2) 3
3) 4 4) 6
5)None of these
Answer : 3
Explanation : ATQ: x2+y2+z2 -xy-yz-zx
= x2-xy+y2 -yz+z2-zx 
x(x-y) + y((y-z) + z(z-x)
= 2015(2015-2014) + 2014(2014-2013)+2013(2013-2015)
= 2015 + 2014 + 4026
=4029-4026 =3

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Q10.
Directions:In each of the following questions a number series is given. After the series a number is given followed by (a),(b),(c),(d)&(e).Yoy have to complete the series starting with the number given, following the sequence of the given series, and answer the questions given below the series.

(A) 4 2 3 7.5 26.25 118.125
(B) 6 (a) (b) (c) (d) (e)

What will come in the place of (c) ?

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   
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