Recent questions tagged misc

IQ of a person is given by the formula $IQ= \large\frac{MA}{CA} $$ \times 100$ Where MA is a mental age and CA is chronological age. If $80 \leq IQ \leq 140$ for a group of 12 years old children find the range of their mental age .

asked Aug 5, 2014 by meena.p

1 answer

How many liters of water will have to be added to $1125$ liters of the $45\%$ solution of acid so that the resulting mixture will contain more than $25 \%$ but less than $30\%$ acid content ?

asked Aug 5, 2014 by meena.p

1 answer

A solution of $ 8 \%$ basic acid is to be diluted by adding $ 2 \%$ boic acid. Solution to it. The resulting mixture is to be more than $4 \%$ but less than $6 \%$ boric acid. If we have 640 litres of $8^{\circ} \%$ Solution , how many litres of $2 \%$ solution is to be added ?

asked Aug 5, 2014 by meena.p

1 answer

A solution is to be kept between $68^{\circ} F$ and $ 77^{\circ} F$ . What is the range in to temperature in degree ceisius (C) if the ceisius (C) if the ceisius / Fahrenheit (F) conversion. formula is given by $F= \large\frac{9}{8} $$c +32?$

asked Aug 5, 2014 by meena.p

1 answer

Solve the inequalities and represent the solution graphically on number line. $ 5(2x-7) - 3(2x+3) \leq 0 ; 2x+19 \geq 6x+47 $

asked Aug 5, 2014 by meena.p

1 answer

Solve the inequalities and represent the solution graphically on number line. $ 3x-7 > 2(x-6) ; 6-x > 11-2x $

asked Aug 5, 2014 by meena.p

1 answer

Solve the inequalities and represent the solution graphically on number line. $ 2(x-1) < x+5 ; 3(x+2) > 2-x $

asked Aug 4, 2014 by meena.p

1 answer

Solve the inequality and represent the solution graphically on number line . $5x + 1 > -24; 5x -1 < 24$

asked Aug 4, 2014 by meena.p

1 answer

Solve the inequality $7 \;\leq \large\frac{3x+11}{2} $$ \leq 2$

asked Aug 4, 2014 by meena.p

1 answer

Solve the inequality $7 \leq \large\frac{(3x+11)}{2} \leq 11$

asked Aug 1, 2014 by meena.p

1 answer

Solve the inequality $-12 <4 <- \large\frac{3x}{-5} \leq 2$

asked Aug 1, 2014 by meena.p

1 answer

Solve the inequality $-15 < \large\frac{3(x-2)}{5} \leq 0$

asked Aug 1, 2014 by meena.p

1 answer

Solve the inequality $-3 \leq 4 - \large\frac{7x}{2} $$ \leq 18$

asked Aug 1, 2014 by meena.p

1 answer

Solve the inequality $ 6 \leq -3( 2x-4) < 12$

asked Aug 1, 2014 by meena.p

1 answer

Solve the inequality : $ 2 \leq 3x-4 \leq 5$

asked Aug 1, 2014 by meena.p

1 answer

An equilateral triangle is inscribed in the parabola $ y^2 = 4 ax$, where one vertex is at the vertex of the parabola. Find the length of the side of the triangle

asked Jul 24, 2014 by thanvigandhi_1

1 answer

A man running a racecourse notes that the sum of the distances from the two flag posts from him is always 10 m and the distance between the flag posts is 8 m. Find the equation of the posts traced by the man.

asked Jul 24, 2014 by thanvigandhi_1

1 answer

Find the area of the triangle formed by the lines joining the vertex of the parabola $ x^2 = 12y $ to the ends of its latus rectum.

asked Jul 23, 2014 by thanvigandhi_1

1 answer

A rod of length 12 cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point P on the rod, which is 3 cm from the end in contact with the x-axis.

asked Jul 23, 2014 by thanvigandhi_1

1 answer

An arch is in the form of a semi-ellipse. It is 8 m wide and 2 m high at the centre. Find the height of the arch at a point 1.5 m from one end.

asked Jul 23, 2014 by thanvigandhi_1

1 answer

The cable of a uniformly loaded suspension bridge hangs in the form of a parabola. The roadway which is horizontal and 100 m long is supported by vertical wires attached to the cable, the longest wire being 30 m and the shortest being 6 m. Find the length of a supporting wire attached to the roadway 18 m from the middle.

asked Jul 23, 2014 by thanvigandhi_1

1 answer

An arch is in the form of a parabola with its axis vertical. The arch is 10 m high and 5 m wide at the base. How wide is it 2 m from the vertex of the parabola?

asked Jul 23, 2014 by thanvigandhi_1

1 answer

If a parabolic reflector is 20 cm in diameter and 5 cm deep, find the focus.

asked Jul 23, 2014 by thanvigandhi_1

1 answer

The hypotenuse of a right angled triangle has its ends at the points (1, 3) and (– 4, 1). Find an equation of the legs (perpendicular sides) of the triangle.

asked Jul 11, 2014 by thanvigandhi_1

1 answer

Prove that \[ 2sin^{-1} \frac{3}{5} = tan^{-1} \frac{24}{7} \]

asked Jul 9, 2014 by balaji.thirumalai

1 answer

The number lock of a suitcase has four wheels,each labelled with 10 digits (ie) from 0 to 9.The lock opens with a sequence of four digits with no repeats.What is the probability of a person getting the right sequence to open the suitcase?

asked Jul 7, 2014 by sreemathi.v

1 answer

If four digit numbers greater than 5000 are randomly formed from the digits 0,1,3,5 and 7,what is the probability of forming number divisible by 5 when repetition of digits is not allowed.

asked Jul 3, 2014 by sreemathi.v

1 answer

If four digit numbers greater than 5000 are randomly formed from the digits 0,1,3,5 and 7,what is the probability of forming number divisible by 5 when the digits are repeated ?

asked Jul 3, 2014 by sreemathi.v

1 answer