General Mathematics

Question: The price of cooking oil has increased by 25%. The percentage of reduction that a family should effect in the use of cooking oil so not to increase the expenditure on this account is :
A
25%

B
30%

C
20%

D
15%

Note: Required reduction` = [r/((100 + r))] %` `= (25/125 xx 100) = 20%`
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Question: `4598` is `95%` of
A
4800

B
4850

C
4840

D
None

Note: Let` 95%` of x = 4598 Then, `x = (4598 xx 100/95)` `= 4840`
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Question: In an organisation, 40% of the employees are matriculates 50% of the remain-ing are graduates and the remaining 180 are post-graduates. How many employees are graduates ?
A
360

B
240

C
300

D
180

Note: Matriculates` = 40/(100) x = (2x)/5.` Remaining` = (x - (2x)/5) = (3x)/5` Graduates` = 50/(100) xx (3x)/5 = (3x)/10` `:. (2x)/5 + (3x)/10 + 180` `= x => x - (7x)/10` `= 180 => x = 600` :. Graduates` = 3/10 xx 600 = 180`
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Question: If` 40%` of the people read newspaper x, 50% read newspaper Y and 10% read both the papers. what percentage of the people read neither newspaper ?
A
10%

B
15%

C
20%

D
25%

Note: `n(A) = 40, n(B) = 50, n(AnnnB) = 10` `n(AuuuB) = n(A) + n(B) - n(AnnnB)` `= (40 + 50 - 10) = 80` n(not A and B) `= n(A^cnnnB^c)` `= n(AuuuB)^c` `= 100 - n(AuuuB)` `= (100 - 80) = 20`
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Question: The population of a town increases by 5% annually. If its population in 1995 was 138915, what it was in 1992 ?
A
110000

B
100000

C
120000

D
90000

Note: `x xx (1 + 5/(100))^3` `= 138915 => x xx 21/20 xx 21/20 xx 21/20` `= 138915` `:. x = ((138915 xx 20 xx 20 xx 20)/(21 xx 21 xx 21))` `= 120000`
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Question: 25% of a certain is 15 less than 30% of the same number. What is that number ?
A
600

B
300

C
750

D
135

Note: `30/(100) x - 25/(100) x = 15 => x = 300`
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Question: The population of a village is` 4500 5/9` th of them are males and rest females. If 40% of the males are married, then the percentage of married females is :
A
35

B
40

C
50

D
60

Note: Males` = (5/9 xx 4500)` `= 2500,` Females = 2000 Married males` = 40/(100) xx 2500 = 1000` Married females` = 1000` :. Percentage of married females `= ((1000)/(2000) xx 100)` `= 50%`
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Question: A,s income is 10% more than B,s. How much percent is B,s income less than A,s ?
A
`10%`

B
`7%`

C
`9 1/(11) %`

D
`6 1/2 %`

Note: Required percentage` = 10/((100 + 10)) xx 1000` `= 9 1/11 %`
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Question: A mixture of 40 litres of milk and water contains 10% water. How much water must be added to make water 20% in the new mixture ?
A
10 litres

B
7 litres

C
5 litres

D
3 litres

Note: Milk` = 90/(100) xx 40 = 36`litres, water = 4 litres. Let x litres of water be added. Then `((x + 4))/(41 + x) xx 100` `= 20 => (x + 4)/(40 + x)` `= 1/5` `:. 5x + 20 = 40 + x => x = 5.`
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Question: If` z = x^2/y` and x , y both are increased in value by 10% then the value of z is :
A
unchanged

B
increased by 10%

C
increased by 11%

D
increased by 20%

Note: `z = x^2/y` New value of ` z =(((110)/(100) x)^2)/(((110)/(100) y))` `= (11 x^2)/(100) y` `= (11)/(10) z` :. Increase % `= (((11)/(10) z - z))/(z) xx 10` `= 10%`
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Question: The price of cooking oil has increased by 25%. The percentage of reduction that a family should effect in the use of cooking oil so not to increase the expenditure on this account is :

Question: `4598` is `95%` of

Question: In an organisation, 40% of the employees are matriculates 50% of the remain-ing are graduates and the remaining 180 are post-graduates. How many employees are graduates ?

Question: If` 40%` of the people read newspaper x, 50% read newspaper Y and 10% read both the papers. what percentage of the people read neither newspaper ?

Question: The population of a town increases by 5% annually. If its population in 1995 was 138915, what it was in 1992 ?

Question: 25% of a certain is 15 less than 30% of the same number. What is that number ?

Question: The population of a village is` 4500 5/9` th of them are males and rest females. If 40% of the males are married, then the percentage of married females is :

Question: A,s income is 10% more than B,s. How much percent is B,s income less than A,s ?

Question: A mixture of 40 litres of milk and water contains 10% water. How much water must be added to make water 20% in the new mixture ?

Question: If` z = x^2/y` and x , y both are increased in value by 10% then the value of z is :