List of top Mathematics Questions asked in NATA

Which of the following solids may not be generated by revolving a planar surface along an axis ?

For a given circle with a center O and radius OA, if two arcs B and C are drawn on the circumference of the circle from 1 by taking the measurement of OA as the radius of the arc, what will be the shape of the triangle obtained by joining the points 1, B and C?

When the sum of two angles makes 90°, what are the angles referred to as?

If a²-b² = 8 and a*b = 2, find a⁴+b⁴.

If the side of a square increases by 30% its area increases by:

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:

The curved surface area of a cylindrical pillar is \(264  m^2\)and its volume is \(924\)\( m^3\)Find the ratio of its diameter to its height

A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:

Find the value of log_y(x⁴) if log_x(y³) = 2

Area and perimeter of a rectangular field are 2000 sq.m. and 180 m respectively. What is the length and breadth?

How many terms are in the Arithmetic Progression 20, 25, 30,..., 135, 140?

If \(tan ^{-1}(sinx)=\frac{\pi}{4}\),then the value of \(x\) is:

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?

If \(cos2\theta+sin\theta= \sqrt{2}cos \theta,Then \ cos\theta-sin \theta=? \)

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?

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 log₁₀10=1, log₁₀100=2, what is the value of log₅125?

f \(\int_0 ^a3x^2dx=8\) then find the value of a

If \(log_8 x+log_4 x+log_2 x=11,x=?\)

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?

Given an A.P. whose terms are all positive integers. The sum of its first nine terms is greater than 200 and less than 220. If the second term in it is 12, then its 4th term is :

If \( \log 2 + \log(x+3) - \log(3x-5) = \log 3 \). The value of \( x = ? \)