Mathmetics

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

Q491.
Find the odd man out in the following number series.

8,   27,   64,   100,    125,  216,   343
1) 27 2) 100
3) 125 4) 343
5)None of these
Answer : 100
Explanation : The pattern is 23, 33, 43, 53, 63, 73.  But, 100 is not a perfect cube.
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Q492.
Find the odd man out in the following number series.

3,   5,   11,   14,   17,   21
1) 21 2) 17
3) 11 4) 14
5)None of these
Answer : 14
Explanation :
Each of the numbers except 14 is an odd number.
The number '14' is the only even number.
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Q493.
Direction : Study the following pie - chart and the table and answer the questions based on them.

Proportion of Population of Seven Villages in 2013.
                
 Village             % Population Below Poverty Line
        X                               38
        Y                               52
        Z                               42
        R                               51
        S                               49
        T                               46
        V                               58 

Find the population of village S if the population of village X below poverty line in 2013 is 12160.
    
1) 16500 2) 18500
3) 20100 4) 22000
5)None of these
Answer : 22000
Explanation :
Let, the population of village X be x.
Then, 38% of x = 12160   =>   x = (12160 x 100) /38 = 32000.
Now, if s be the population of village S, then
16 : 11 = 32000 : s     =>    s =(11 x 3200) /16= 22000.
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Q494.
Direction : Study the following pie - chart and the table and answer the questions based on them.

Proportion of Population of Seven Villages in 2013.


     

    Village             % Population Below Poverty Line
        X                               38
        Y                               52
        Z                               42
        R                               51
        S                               49
        T                               46
        V                               58

The ratio of population of village T below poverty line to that of village Z below poverty line in 2013 is:
1) 11:21 2) 11:23
3) 12:13 4) 23:11
5)None of these
Answer : 23:11
Explanation :
Let, N be the total population of all the seven villages.
Then, population of village T below poverty line = 46% of (21% of N) and Population of villages Z below the poverty line = 42% of (11% of N)
Therefore, required ratio = 46% of (21% of N) / 42% of (11 % of N)= (46 x 21) /(42 x 11)
= 23/11.

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Q495.
Direction : Study the following pie - chart and the table and answer the questions based on them.

Proportion of Population of Seven Villages in 2013.



     

     Village             % Population Below Poverty Line
        X                               38
        Y                               52
        Z                               42
        R                               51
        S                               49
        T                               46
        V                               58

If the population of village R in 2013 is 32000, then what will be the population of village Y below poverty line in that year ?
1) 14500 2) 15600
3) 16200 4) 17500
5)None of these
Answer : 15600
Explanation :
Population of village R = 32000 (given).
Let, the population of village Y be y.
Then, 16 : 15 = 32000 : y     => y = (15 x 32000)/16= 30000.
Therefore ,Population of village Y below poverty line = 52% of 30000 = 15600.
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Q496.
Directions : Study the following bar-graph and answer the questions given below.
Number of Bike A and B type sold over the years in thousand.



Number of bikes of B type in year 2007 is what percent of total number of bikes of B type in all the years together ?(Round off to two digits after decimal).
1) 6.5% 2) 7.5%
3) 8% 4) 12%
5)None of these
Answer : 7.5%
Explanation :
B type in 2007 =15000
B type in all years together = 2,00,000
Percent = [15000 / 200000] x100 = 7.5%
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Q497.
Directions : Study the following bar-graph and answer the questions given below.
Number of Bike A and B type sold over the years in thousand.




What is the ratio between the total number of bikes of A in year 2004, 2006 and 2007 together and the total number of bikes of B in year 2002, 2004 and 2005 ?
1) 1:2 2) 2:1
3) 2:3 4) 3:4
5)None of these
Answer : 1:2
Explanation :
Total number of bikes of A type in  year 2004, 2006, 2007 = 10,000 + 20,000 + 25,000 = 55,000
Total number of bikes of B type in year 2002, 2004, 2005 = 20,000 + 35,000 + 55,000= 1,10,000
So,ratio = 55,000 : 1,10,000 = 1:2

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Q498.
A company produces four different products, viz. Mobile phones,TV, Refrigerators and Computers. Each of products has two categories, viz. Category-A and Category-B. The total number of all the products is 600. 20% of the total number of products is Computer and one-third of the total number is TV. 40% of the remaning products are Refrigerators. 50% of the number of Computers as well as the number Mobile Phone is of Category-A. 25% of the number of TV is of Category-B. One-fourth of the number of Refrigerators is Category-A.

What is the different between the number of computer of Catogery-B and the number of Refrigerater of Category-A ?
1) 18 2) 24
3) 32 4) 36
5)None of these
Answer : 32
Explanation : Comuter A = 60;  Refrigerator A = 28
So, different = 60 -28 = 32
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Q499.
A company produces four diffrent products, viz. Mobile phones,TV, Refrigerators and Computers. Each of products has two categories, viz. Category-A and Category-B. The total number of all the products is 600. 20% of the total number of products is Computer and one-third of the total number is TV. 40% of the remaning products are Refrigerators. 50% of the number of Computers as well as the number Mobile Phone is of Category-A. 25% of the number of TV is of Category-B. One-fourth of the number of Refrigerators is Category-A.

What is the approximate average number of products of category-A together ?
1) 78 2) 81
3) 83 4) 86
5)None of these
Answer : 81
Explanation : (84 + 150 + 28 + 60) /4 = 322/4 = 80.5 i.e 81
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Q500.
A company produces four diffrent products, viz. Mobile phones,TV, Refrigerators and Computers. Each of products has two categories, viz. Category-A and Category-B. The total number of all the products is 600. 20% of the total number of products is Computer and one-third of the total number is TV. 40% of the remaning products are Refrigerators. 50% of the number of Computers as well as the number Mobile Phone is of Category-A. 25% of the number of TV is of Category-B. One-fourth of the number of Refrigerators is Category-A.

What is the ratio between the number of Mobile Phones of CategoryA and the number of Computers of category -A ?
1) 5:9 2) 7:3
3) 7:6 4) 7:9
5)None of these
Answer : None of these
Explanation : Give, total products is 600.

                           A                B
Mobile Phone :  84              84
TV                  :  150            50
Refrigerators  :   28             84
Computers      :  60              60
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