Mathmetics

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

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Q1.
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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Q2.
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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Q3.
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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Q4.
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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Q5.
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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Q6.
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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Q7.
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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Q8.
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) 2 3 7 25 121 721
(B) 3 (a) (b) (c) (d) (e)

What will come in the place of (c) ?

1) 31 2) 39
3) 45 4) 49
5)None of these
Answer : 49
Explanation : x 2 -1, x 3-2, x 4-3, x 5 -4 and so on ...
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Q9.
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) 2 3 10 39 172 885
(B) 5 (a) (b) (c) (d) (e)

What will come in the place of (d) ?
1) 175 2) 196
3) 208 4) 244
5)None of these
Answer : 244
Explanation : x 1+12,, x 2+22, x 3+32, x 4+42 and so on ....  
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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) 3 12 30 66 138 282
(A) 7 (a) (b) (c) (d) (e)

What will come in the place of (b)?

1) 34 2) 46
3) 70 4) 76
5)None of these
Answer : 46
Explanation : x 2 +6 , x 2+6 , and so on      
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