Latest Questions, General Mathematics

Question: If $(676)^2 = 456976,$ the value of $sqrt(45.6976$ is :
A
$0.00676$

B
$0.676$

C
$6.76$

D
$0.0676$

Note: $sqrt(456976 = 676$ $:. sqrt(45.6976 = sqrt(456976)/sqrt(10000)$ $= (676)/(100)$ $= 6.76$
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Question: $((3sqrt(2))/(sqrt(6) - sqrt(3)) - (4sqrt(3))/(sqrt(6) - sqrt(2)) - 6/(sqrt(8) - sqrt(12))) = ?$
A
1

B
$- sqrt(3)$

C
$sqrt(3) + sqrt(2)$

D
$sqrt(3) - sqrt(2)$

Note: Given Exp. $= (3sqrt(2)) (sqrt(6) + sqrt(3))/((sqrt(6) + sqrt(3)) ((sqrt(6) - sqrt(3)) - ((4sqrt(3)) ((sqrt(6) + sqrt(2))/((sqrt(6) - sqrt(2)) ((sqrt(6) + sqrt(2)) - 6/((sqrt(12) + sqrt(8)) xx ((sqrt(12) - sqrt(8))/((sqrt(12) - sqrt(8))$ $= (sqrt(2) (sqrt(6) + sqrt(3)) - sqrt(3) (sqrt(6) + sqrt(2)) - 3/2 (sqrt(12) - sqrt(8)$ $= sqrt(12) + sqrt(6) - 3sqrt(2) - sqrt(6) - 3sqrt(3) + 3sqrt(2)$ $= 2sqrt(3) - 3sqrt(3) = - sqrt(3)$
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Question: If $a = sqrt(6) + sqrt(5)$ and $b = sqrt(6) - sqrt(5),$ then $2a^2 - 5ab + 2b^2 = ?$
A
43

B
39

C
31

D
27

Note: $a + b = 2sqrt(6)$ and ab $= (6 - 5) = 1$ $:. 2a^2 - 5ab + 2b^2$ $= 2 (a + b)^2 - 9ab$ $= 2(2sqrt(6))^2 - 9 xx 1$ $= (48 - 9) = 39$
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Question: If $a = sqrt(6) + sqrt(5)$ and $b = sqrt(6) - sqrt(5),$ then $2a^2 - 5ab + 2b^2 = ?$
A
43

B
39

C
31

D
27

Note: $a + b = 2sqrt(6)$ and ab $= (6 - 5) = 1$ $:. 2a^2 - 5ab + 2b^2$ $= 2 (a + b)^2 - 9ab$ $= 2(2sqrt(6))^2 - 9 xx 1$ $= (48 - 9) = 39$
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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 :
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: If $(676)^2 = 456976,$ the value of $sqrt(45.6976$ is :

Question: $((3sqrt(2))/(sqrt(6) - sqrt(3)) - (4sqrt(3))/(sqrt(6) - sqrt(2)) - 6/(sqrt(8) - sqrt(12))) = ?$

Question: If $a = sqrt(6) + sqrt(5)$ and $b = sqrt(6) - sqrt(5),$ then $2a^2 - 5ab + 2b^2 = ?$

Question: If $a = sqrt(6) + sqrt(5)$ and $b = sqrt(6) - sqrt(5),$ then $2a^2 - 5ab + 2b^2 = ?$

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: If(676)2=456976, (676)^2 = 456976, the value of √45.6976sqrt(45.6976 is :

Question: (3√2√6-√3-4√3√6-√2-6√8-√12)=?((3sqrt(2))/(sqrt(6) - sqrt(3)) - (4sqrt(3))/(sqrt(6) - sqrt(2)) - 6/(sqrt(8) - sqrt(12))) = ?

Question: Ifa=√6+√5a = sqrt(6) + sqrt(5) andb=√6-√5, b = sqrt(6) - sqrt(5), then 2a2-5ab+2b2=?2a^2 - 5ab + 2b^2 = ?

Question: Ifa=√6+√5a = sqrt(6) + sqrt(5) andb=√6-√5, b = sqrt(6) - sqrt(5), then 2a2-5ab+2b2=?2a^2 - 5ab + 2b^2 = ?

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: 45984598 is 95%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: If40% 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: If $(676)^2 = 456976,$ the value of $sqrt(45.6976$ is :

Question: $((3sqrt(2))/(sqrt(6) - sqrt(3)) - (4sqrt(3))/(sqrt(6) - sqrt(2)) - 6/(sqrt(8) - sqrt(12))) = ?$

Question: If $a = sqrt(6) + sqrt(5)$ and $b = sqrt(6) - sqrt(5),$ then $2a^2 - 5ab + 2b^2 = ?$

Question: If $a = sqrt(6) + sqrt(5)$ and $b = sqrt(6) - sqrt(5),$ then $2a^2 - 5ab + 2b^2 = ?$

Question: $4598$ is $95%$ of

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 ?