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Quantitative Aptitude
List of top Quantitative Aptitude Questions
A sum amounts to Rs.~9680 in 2 years and to Rs.~10648 in 3 years respectively at compound interest. What will be the amount if the same sum is invested for \(1\dfrac{2}{5}\) years at the same rate of compound interest?
CLAT - 2018
CLAT
Quantitative Aptitude
Ratio and Proportion
The marked price of an article is \(20%\) more than the cost price. If the article is sold at a discount of \(15%\) on its marked price, then the gain percent is:
CLAT - 2018
CLAT
Quantitative Aptitude
Ratio and Proportion
Reshma sells an article to Rekha at \(37.5\%\) profit, Rekha sells it to Madhu at \(9\dfrac{1}{11}\%\) profit. Again Madhu sells it to Mitu at \(25\%\) loss. If Mitu pays Rs.~\(342\) for the article, then what is the cost price of the article to Reshma?
CLAT - 2018
CLAT
Quantitative Aptitude
Ratio and Proportion
In a 120 litre solution of acid and water, acid is \(75%\). A person takes out 20 litres of this solution and adds \(16.2\) litres of acid and \(3.8\) litres of water in the remaining solution. What is the percentage of water in the final solution?
CLAT - 2018
CLAT
Quantitative Aptitude
Ratio and Proportion
Twelve men and 5 women can complete a work in 2 days whereas 4 men and 3 women can complete the same work in 5 days. In how many days can 8 men complete the work?
CLAT - 2018
CLAT
Quantitative Aptitude
Ratio and Proportion
a and b are inversely proportional to each other and are positive. If a increases by \(100%\), then b decreases by:
CLAT - 2018
CLAT
Quantitative Aptitude
Ratio and Proportion
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?
CLAT - 2018
CLAT
Quantitative Aptitude
Ratio and Proportion
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:
CLAT - 2018
CLAT
Quantitative Aptitude
Basic Algebra
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:
CLAT - 2018
CLAT
Quantitative Aptitude
Statistical Estimation
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:
CLAT - 2018
CLAT
Quantitative Aptitude
Mensuration
The fractions \(\dfrac{42}{491}, \ \dfrac{30}{313}, \ \text{and} \ \dfrac{35}{367}\) are arranged in ascending order of magnitude as:
CLAT - 2018
CLAT
Quantitative Aptitude
Ratio and Proportion
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:
CLAT - 2018
CLAT
Quantitative Aptitude
Basic Algebra
Evaluate the expression
\[ \frac{\left( 1\dfrac{29}{36} + 4\dfrac{1}{8} \times 1\dfrac{7}{11} \right) \div \left( 5\dfrac{1}{9} - 7\dfrac{7}{8} \div 9\dfrac{9}{20} \right)} {\, 3\dfrac{1}{5} \div \dfrac{9}{2} \ \text{ of } \ 5\dfrac{1}{3}} \]
CLAT - 2018
CLAT
Quantitative Aptitude
Basic Algebra
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
CAT - 2018
CAT
Quantitative Aptitude
Mixture Problems
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
CAT - 2018
CAT
Quantitative Aptitude
Circles
If among 200 students, 105 like pizza and 134 like burger, then the number of students who like only burger can possibly be
CAT - 2018
CAT
Quantitative Aptitude
Permutation and Combination
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
CAT - 2018
CAT
Quantitative Aptitude
Circles
The solutions of \( x^{2/5} + 3x^{1/5} - 4 = 0 \) are
KEAM - 2018
KEAM
Quantitative Aptitude
Quadratic Equations
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
KEAM - 2018
KEAM
Quantitative Aptitude
Quadratic Equations
The solutions of \( x^{2/5} + 3x^{1/5} - 4 = 0 \) are
KEAM - 2018
KEAM
Quantitative Aptitude
Quadratic Equations
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
KEAM - 2018
KEAM
Quantitative Aptitude
Quadratic Equations
The solutions of \( x^{2/5} + 3x^{1/5} - 4 = 0 \) are
KEAM - 2018
KEAM
Quantitative Aptitude
Quadratic Equations
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
KEAM - 2018
KEAM
Quantitative Aptitude
Quadratic Equations
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
KEAM - 2018
KEAM
Quantitative Aptitude
Quadratic Equations
The solutions of \( x^{2/5} + 3x^{1/5} - 4 = 0 \) are
KEAM - 2018
KEAM
Quantitative Aptitude
Quadratic Equations
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