List of top Mathematics Questions asked in NATA

If \( x = t \) and \( y = \frac{1}{t} \), then \(\frac{dy}{dx}\) is equal to:
\[\log(\sin 1^\circ) \times \log(\sin 2^\circ) \times \ldots \times \log(\sin 90^\circ) \text{ is}\]
Everybody in a room shakes hands with everybody else. The total number of handshakes is 66. Then the total number of persons in the room is:
The probability that a leap year will have 53 Fridays or 53 Saturday is
A salesman has a 70% chance to sell a product to any customer. The behavior of successive customers is independent. If two customers A and B enter, what is the probability that the salesman will sell the product to customer A or B?
A supporting element on a curved opening is called as
A regular hexagonal pyramid is sliced by a plane such that it passes through the centre of its axis. How many additional edges shall be created.
If the side of a square increases by 30% its area increases by:
The sum of the values of x satisfying \(\tan(\frac{\pi}{4}+x)+\tan(\frac{\pi}{4}-x)=2\) in the interval \([0,2\pi]\) is:
Find the value of logy(x4) if logx(y3) = 2
If log1010=1, log10100=2, what is the value of log5125?
Sarthak bought 7 new trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 31 cards left. How many cards did Sarthak start with ?
If a, b, c are odd positive integers, then number of integral solutions of a + b + c = 13, is
If the points (2a, a),(a,2a), and (a, a) enclose a triangle of area 18 square units. Then the centroid of the triangle is:
A circle of maximum possible size is cut from a square sheet. Subsequently, a square of maximum possible size is cut from the resultant circle. What will be area of the final square?
If a2-b2 = 8 and a*b = 2, find a4+b4.
How many terms are in the Arithmetic Progression 20, 25, 30,..., 135, 140?
A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole workalone?
Evaluate the integral. \(\displaystyle\int^{3}_{2}x^4dx\)
The differential equation of all non vertical lines in a plane is:
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, then how old is B?
If log2 + log(x+3) - log(3x-5) = log3. The value of x= ?
The sum of odd integers from 1 to 2001 is:
A class has n students, we have to form a team of the students including at least two students and also excluding at least two students. The number of ways of forming the team is
The function given by: xmyn = (x + y)m+n is: