List of top Quantitative Aptitude Questions

a and b are inversely proportional to each other and are positive. If a increases by \(100%\), then b decreases by:
Four pipes \(A,B,C,D\) can fill a tank in \(15, 20, 30,\) and \(60\) hours respectively. Pipe \(A\) is opened at 4 a.m., \(B\) at 5 a.m., \(C\) at 6 a.m., and \(D\) at 7 a.m. When is the tank completely filled?
A student was asked to simplify the expression: \[ \frac{0.1216 \times 0.105 \times 0.0002}{0.625 \times 0.08512 \times 0.039 \times 0.16} \] His answer was \(\frac{1}{65}\). What is the difference between his answer and the correct answer?
When \(13511\), \(13903\) and \(14589\) are divided by the greatest number \(n\), the remainder in each case is \(m\). The value of \((n+m)\) is:
The number of children in a camp is \(x\) and their average weight is \(20\) kg. If 5 children each weighing \(12\) kg join the camp or if 10 children each weighing \(21\) kg leave the camp, the average weight in both the cases remains the same. The value of \(x\) is:
ABCD is a quadrilateral in which \(\angle D=60^\circ\) and \(\angle C=100^\circ\). If the internal bisectors of \(\angle A\) and \(\angle B\) meet at \(P\), then the measure of \(\angle APB\) is:
Evaluate the expression \[ \frac{\left( 1\dfrac{29}{36} + 4\dfrac{1}{8} \times 1\dfrac{7}{11} \right) \div \left( 5\dfrac{1}{9} - 7\dfrac{7}{8} \div 9\dfrac{9}{20} \right)} {\, 3\dfrac{1}{5} \div \dfrac{9}{2} \ \text{ of } \ 5\dfrac{1}{3}} \]
The fractions \(\dfrac{42}{491}, \ \dfrac{30}{313}, \ \text{and} \ \dfrac{35}{367}\) are arranged in ascending order of magnitude as:
Let \(x\) be the greatest number of 4 digits, which when divided by 15, 20 and 28 leaves in each case the remainder 2. The sum of digits of \(x\) is:
A jar contains a mixture of 175 ml water and 700 ml alcohol. Gopal takes out 10% of the mixture and substitutes it by water of the same amount. The process is repeated once again. The percentage of water in the mixture is now
In a circle with center O and radius 1 cm, an arc AB makes an angle 60 degrees at O. Let R be the region bounded by the radii OA, OB and the arc AB. If C and D are two points on OA and OB, respectively, such that OC = OD and the area of triangle OCD is half that of R, then the length of OC, in cm, is
If among 200 students, 105 like pizza and 134 like burger, then the number of students who like only burger can possibly be
In a circle, two parallel chords on the same side of a diameter have lengths 4 cm and 6 cm. If the distance between these chords is 1 cm, then the radius of the circle, in cm, is
The solutions of \( x^{2/5} + 3x^{1/5} - 4 = 0 \) are
If the equations \( x^2 + ax + 1 = 0 \) and \( x^2 - x - a = 0 \) have a real common root, then the value of \( b \) is
The solutions of \( x^{2/5} + 3x^{1/5} - 4 = 0 \) are
If the equations \( x^2 + ax + 1 = 0 \) and \( x^2 - x - a = 0 \) have a real common root, then the value of \( b \) is
The solutions of \( x^{2/5} + 3x^{1/5} - 4 = 0 \) are
If the equations \( x^2 + ax + 1 = 0 \) and \( x^2 - x - a = 0 \) have a real common root, then the value of \( b \) is
Let \( f(x) = px^2 + qx + r \), where \( p,q,r \) are constants and \( p \neq 0 \). If \( f(5) = -3f(2) \) and \( f(-4) = 0 \), then the other root of \( f \) is
The solutions of \( x^{2/5} + 3x^{1/5} - 4 = 0 \) are
If the equations \( x^2 + ax + 1 = 0 \) and \( x^2 - x - a = 0 \) have a real common root, then the value of \( b \) is
Let \( f(x) = px^2 + qx + r \), where \( p,q,r \) are constants and \( p \neq 0 \). If \( f(5) = -3f(2) \) and \( f(-4) = 0 \), then the other root of \( f \) is
A worker carries jugs of liquid soap from a production line to a packing area, carrying 4 jugs per trip. If the jugs are packed into cartons that hold 7 jugs each, how many jugs are needed to fill the last partially filled carton after the worker has made 17 trips?
During a certain time period, Car X traveled north along a straight road at a constant rate of 1 mile per minute and used fuel at a constant rate of 5 gallons every 2 hours. During this time period, if Car X used exactly 3.75 gallons of fuel, how many miles did Car X travel?