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Mathematics
List of top Mathematics Questions asked in NATA
Player 1 and player 2 are running around a circular field. Player 1 takes 15 minutes to take one round, while Player 2 completes the round in 25 minutes. If both start simultaneously and go in the same direction, after how much time will they meet at the starting point? (Answer to be provided only in minutes)
NATA - 2023
NATA
Mathematics
speed and velocity
A box of dimensions 25cm x 30cm x 45cm is to be painted. A container which contains colour has a capacity to paint 1075cm
2
. How many containers are required to paint the box completely?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
The length of a rectangular plot is 30 m more than its breadth. If the cost of fencing the plot @ 25 per meter is Rs. 5000, what is the length of the plot in m?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number pair?
NATA - 2023
NATA
Mathematics
Algebra
The produce of a square field when sold at the rate of Rs. 1.50 per 100 sq. meters fetches Rs. 1350. What will be the cost of putting a fence all-round the field at the rate of 50 paise per meter?
NATA - 2023
NATA
Mathematics
Algebra
From a pack of 52 cards, one card is drawn at random. What is the probability that the card drawn is a ten or a spade?
NATA - 2023
NATA
Mathematics
Statistics and Probability
Circle with center O and radius 25 cms has a chord AB of length of 14 cms in it. Find the area of triangle AOB.
NATA - 2023
NATA
Mathematics
Coordinate Geometry
Rhombus of side 6 cm has an angle equal to the external angle of a regular octagon. Find the area of the rhombus.
NATA - 2023
NATA
Mathematics
Coordinate Geometry
Total surface area of a cube having sides "L" is given by A____.
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
A hyperbola has ____ vertices and ___foci.
NATA - 2023
NATA
Mathematics
Coordinate Geometry
If P (A∩B) = 70% and P(B) = 85%, then P(A/B) is equal to
NATA - 2023
NATA
Mathematics
Statistics and Probability
The base diameter of a metallic cylinder is 18cm and its height is 24 cm. It is melted into cylinders of base diameter 12 cm and height 6 cm. How many such small cylinders are formed?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 27. What is the difference between the two digits of that number?
NATA - 2023
NATA
Mathematics
Algebra
The largest number that divides 70 and 125, which leaves the remainders 5 and 8, is
NATA - 2023
NATA
Mathematics
Algebra
The length of the common chord of two intersecting circles is 24 cm. If the diameter of the circles are 30 cm and 26 cm, then the distance between the center (in cm) is
NATA - 2023
NATA
Mathematics
Coordinate Geometry
All cross sections of a sphere are
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
The diagonal of a cuboid is given by which of the following formulas?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
In a 100 m race, A covers the distance in 36 seconds and B covers in 45 seconds. In this race, A beats B by___________?
NATA - 2023
NATA
Mathematics
Algebra
If the sum of interior angles of a regular polygon is 540°. Find the name of the polygon
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
If
\(5\)
times the
\(5^{th}\)
term of an A.P is the same as
\(7\)
times the
\(7{th}\)
term, then find its
\(12^{th}\)
\(\)
term
NATA - 2023
NATA
Mathematics
Algebra
A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
NATA - 2023
NATA
Mathematics
Algebra
The given surface can be folded into which of the following cubes?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
Choose the correct option sin2A=2 sinA is true when A =?
NATA - 2023
NATA
Mathematics
Trigonometry
Choose the correct option
\(\frac {2tan30°}{1+tan^230°}=?\)
NATA - 2023
NATA
Mathematics
Trigonometry
Vertices of a quadrilateral ABCD are A(0,0), B(4,5), C(9,9) and D(5,4). What is the shape of the quadrilateral?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
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