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Mathematics
List of top Mathematics Questions asked in NATA
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
\(\frac {2tan30°}{1+tan^230°}=?\)
NATA - 2023
NATA
Mathematics
Trigonometry
Choose the correct option sin2A=2 sinA is true when A =?
NATA - 2023
NATA
Mathematics
Trigonometry
The fraction of total volume occupied by atoms in a simple cube is A.
NATA - 2023
NATA
Mathematics
Application of calculus
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
Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?
NATA - 2023
NATA
Mathematics
Algebra
The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:
NATA - 2023
NATA
Mathematics
Algebra
A sum of money is to be distributed among Arun, Banu, Chinu, Dany in the proportion of 5: 2:4: 3 respectively. If C gets Rs. 1500 more than D, what is B's share?
NATA - 2023
NATA
Mathematics
Algebra
A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
vertical pole 20 m long casts a shadow 10 m long on the ground. At the same time, a tower casts the shadow 50 m long on the ground. Find the height of the tower. (Answer to be provided in m)
NATA - 2023
NATA
Mathematics
Coordinate Geometry
A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end. How far from the base of the pole should the stake be driven so that the wire will be taut?
NATA - 2023
NATA
Mathematics
Coordinate Geometry
A (p,0), B (4,0), C (5,6) and D (1,4) are the vertices of a quadrilateral ABCD. If ADC is obtuse, what is the maximum integral value of p?
NATA - 2023
NATA
Mathematics
Coordinate Geometry
A well of depth 20 m with a radius 4 m is dug from the earth to form a platform of length 25 m and a breadth of 12 m. Find the height of the platform.
NATA - 2023
NATA
Mathematics
Coordinate Geometry
A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same, which one of the following will not be affected?
NATA - 2023
NATA
Mathematics
Coordinate Geometry
ABC and BDE are two equilateral triangles such that D is the mid-point of BC. What is the ratio of the area of triangles ABC and BDE?
NATA - 2023
NATA
Mathematics
Coordinate Geometry
The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:
NATA - 2023
NATA
Mathematics
Algebra
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
NATA - 2023
NATA
Mathematics
Algebra
log
\(\frac{log\sqrt8}{log\sqrt8}\)
is equal to :
NATA - 2023
NATA
Mathematics
Logarithms
The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.
NATA - 2023
NATA
Mathematics
Coordinate Geometry
To make a hockey puck which of 2-D shape needs to be rotated?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y. (Provide answer as x, y (in numerical). Any other format will not be accepted for marking)
NATA - 2023
NATA
Mathematics
Coordinate Geometry
A floor whose length and width is 50 m and 40 m respectively needs to be covered by rectangular tiles. The dimension of each tile is 1 m x 2 m. Find the total number of tiles that would be required to fully cover the floor.
NATA - 2023
NATA
Mathematics
Coordinate Geometry
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