15 men complete a work in 16 days. If 24 men are employed, then the time required to complete that work will be


A) 7 days

B) 8 days

C) 10 days

D) 12 days

Correct Answer:
C) 10 days

Description for Correct answer:
According to 'MAN-DAY-WORK' concept

\( \Large \frac{M_{1} \times D_{1}}{W_{1}} = \frac{M_{2} \times D_{2}}{W_{2}} \)

\( \Large \frac{15 \times 16}{1} = \frac{24 \times D_{2}}{1} \)

\( \Large D_{2} = \frac{15 \times 16}{24} = \frac{5 \times 16}{8} \)

\( \Large D_{2} = 10 \)days

Part of solved CDS Maths(2) questions and answers : Exams >> CDSE >> CDS Maths(2)








Comments

No comments available




Similar Questions
1). A train takes 9 seconds to cross a pole. If the Speed of the train is 48 km/hr, the length of the train is
A). 150 m
B). 120 m
C). 90 m
D). 80 m
-- View Answer
2). Ravi's brother is 3 years elder to him. His father was 28 years of age when his sister was born while his mother was 26 years of age when he was born. If his sister was 4 years of age when his brother was born, the ages of Ravi's father and mother respectively when his brother was born were
A). 32 years and 23 years
B). 32 years and 29 years
C). 35 years and 29 years
D). 35 years and 33 years
-- View Answer
3). In solving a problem, one student makes a mistake in the coefficient of the first degree term and obtains 9 and -1 for the roots. Another student makes a mistake in the constant term of the equation and obtains 8 and 2 for the roots. The correct equation was
A). \( x^{2}\)+\( 10x\)+\( 9\)=\( 0\)
B). \( x^{2}\)-\( 10x\)+\( 16\)=\( 0\)
C). \( x^{2}\)-\( 10x\)+\( 9\)=\( 0\)
D). None of the above
-- View Answer
4). If m and n are the roots of the equation \( \large ax^{2}\)+\(bx \)+\( c\) =0 then the equation whose roots are \( \Large \frac{\left(m ^{2}+ 1\right)}{m} \) and \( \Large \frac{\left(n^{2}+1\right)}{n} \) is
A). \( acx^{2}\)+\( \left( ab+bc\right)\)\( x\)+\( b^{2}\)+\( \left( a-c\right)^{2}\)=\( 0\)
B). \( acx^{2}\)+\( \left( ab-bc\right)\)\( x\)+\( b^{2}\)+\( \left( a-c\right)^{2}\)=\( 0\)
C). \( acx^{2}\)+\( \left( ab-bc\right)\)\( x\)+\( b^{2}\)-\( \left( a-c\right)^{2}\)=\( 0\)
D). \( acx^{2}\)+\( \left( ab+bc\right)\)\( x\)+\( b^{2}\)-\( \left( a-c\right)^{2}\)=\( 0\)
-- View Answer
5). The value of \( x^{2} - 4x + 11 \) can never be less than
A). 7
B). 8
C). 11
D). 22
-- View Answer


6). If \( \Large \left( x^{2} + \frac{1}{x^{2}} \right) = \frac{17}{4}\), then what is \( \Large \left( x^{3} - \frac{1}{x^{3}} \right) \) equal to?
A). \( \Large \frac{75}{11} \)
B). \( \Large \frac{63}{8} \)
C). \( \Large \frac{95}{8} \)
D). None of these
-- View Answer
7). \( 3x^{4}\)-\( 2x^{3}\)+\( 3x^{2}\)-\( 2x\)+\( 3\) divided by \( \left( 3x+2\right)\), then the remainder is
A). \( 0\)
B). \( \Large \frac{185}{27} \)
C). \( \Large \frac{181}{25} \)
D). \( \Large \frac{3}{4} \)
-- View Answer
8). What should be added to the expression\(x \)\( \left( x+a\right)\)\( \left( x+2a\right)\)\( \left( x+3a\right)\) so that the sum may ba a perfect square?
A). \( 9a^{2}\)
B). \( 4a^{2}\)
C). \( a^{4}\)
D). None of these
-- View Answer
9). If the roots of the equation \(Ax^{2} \)+\( Bx\)+\( C\) =0 are -1 and 1 then which one of the following is correct?
A). A andC are both zero
B). A and B are both positive
C). A and C are both negative
D). A and C are of opposite sign
-- View Answer
10). If A and B are any two non-empty subsets of a set E. then what is \( A \cup ( A \cap B) \) equal to?
A). \( A\cap B \)
B). \( A\cup B \)
C). A
D). B
-- View Answer