Aptitude - Aptitude-Algebra

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In a school of 550 students, the ratio of boys and girls is 6 : 5. How many more girls are to be admitted to make the ratio equal?

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x=6y/5\nx+y=550\nx=300 (boys)\ny+needed=250+needed=300\nneeded=50

A mother is three times the age of her daughter. Four years back, the daughter was one fourth the age of her father. If the father is four years older than the mother, what is the age of the daughter?

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M=3D\nD-4=(F-4)/4\nF=M+4\n4D=M+16\nD=16

The average of seven numbers is 40. The total of four of them is 178. The remaining three numbers are in the ratio of 1 : 2 : 3. These three numbers are ?

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x+2x+3x=40x7-178\nx=17

A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?

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A=B+2\nB=2C\nA+B+C=27\nB+2+B+B/2=27\nB=10

Which of the following has made the largest inbound foreign direct investment in India till date.

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