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List of top Mathematics Questions asked in CLAT
When \( 16x^{4} + 12x^{3} - 10x^{2} + 8x + 20 \) is divided by \( 4x - 3 \), the quotient and the remainder are, respectively
CLAT - 2012
CLAT
Mathematics
Polynomials
If \( x + \dfrac{1}{x} = 3 \), then \( x^{2} + \dfrac{1}{x^{2}} \) will be
CLAT - 2012
CLAT
Mathematics
Algebra
The sum of two numbers is 2490. If 6.5% of one number is equal to 8.5% of the other, the numbers are
CLAT - 2012
CLAT
Mathematics
Percentage
Out of the total income, X spends 20% on house rent and 70% of the remaining amount on household expenditure. If X saves Rs. 1800, the total income is
CLAT - 2012
CLAT
Mathematics
Percentage
In a factory, the production of scooters rose to 48400 from 40000 in 2 years. The rate of growth per annum is
CLAT - 2012
CLAT
Mathematics
Compound Interest
120 men had food provision for 200 days. After 5 days, 30 men died of an epidemic. The food will last for further
CLAT - 2012
CLAT
Mathematics
Time and Work
In the number series 4, 10, 23, 50, 104, 216, 439 the wrong number is
CLAT - 2012
CLAT
Mathematics
Series
The price of 2 trousers and 4 shirts is Rs. 1,600. With the same amount one can buy 1 trouser and 6 shirts. If one wants to buy 12 shirts, he has to pay
CLAT - 2012
CLAT
Mathematics
Linear Equations
If \( x = \left(\dfrac{3}{2}\right)^{2}\left(\dfrac{2}{3}\right)^{-4} \), the value of \( x^{-2} \) is
CLAT - 2012
CLAT
Mathematics
Surds and Indices
A dealer buys an article for Rs. 380.00. What price should he mark so that after allowing a discount of 5% he still makes a profit of 25% on the article?
CLAT - 2012
CLAT
Mathematics
Profit and Loss
One-third of one fourth of a number is 12. Then the number is
CLAT - 2012
CLAT
Mathematics
Arithmetic Operations
The denominator of a fraction is greater than its numerator by 11. If 8 is added to both its numerator and denominator, then it becomes \( \frac{3}{4} \). The fraction is
CLAT - 2012
CLAT
Mathematics
Linear Equations
If the ratio of the areas of two squares is 25:36, then the ratio of their perimeters is
CLAT - 2012
CLAT
Mathematics
Mensuration
If the volume of a sphere is divided by its surface area, we obtain 27 cm. The radius of the sphere is
CLAT - 2012
CLAT
Mathematics
Mensuration
The value of \( \frac{1}{x^2} + \frac{1}{y^2} \), where \( x = 2+\sqrt{3} \) and \( y = 2-\sqrt{3} \), is
CLAT - 2012
CLAT
Mathematics
Surds and Indices
A sum was divided among P, Q & R. R got double than P who got double than Q. If the difference between the shares of Q and R is Rs. 3675.00, then the sum in rupees is
CLAT - 2012
CLAT
Mathematics
Ratio and Proportion
P sells a table to Q at a profit of 10% and Q sells it to R at a profit of 12%. If R pays Rs. 246.40 for it, then how much had P paid for it?
CLAT - 2012
CLAT
Mathematics
Profit and Loss
If 0.06% of a number is 84, then 30% of that number is
CLAT - 2012
CLAT
Mathematics
Percentage
A train 300 meters long is running at a speed of 25 meters per second, it will cross a bridge 200 meters long in
CLAT - 2012
CLAT
Mathematics
Time, Speed and Distance
The least value of x, for which the expression \( x^2+x+17 \) will not give a prime number, is
CLAT - 2012
CLAT
Mathematics
Number System