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Mathematics
List of top Mathematics Questions
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
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
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 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
If P (A∩B) = 70% and P(B) = 85%, then P(A/B) is equal to
NATA - 2023
NATA
Mathematics
Statistics and Probability
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
The diagonal of a cuboid is given by which of the following formulas?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
All cross sections of a sphere are
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
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
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
The given surface can be folded into which of the following cubes?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
The fraction of total volume occupied by atoms in a simple cube is A.
NATA - 2023
NATA
Mathematics
Application of calculus
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
Choose the correct option sin2A=2 sinA is true when A =?
NATA - 2023
NATA
Mathematics
Trigonometry
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
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
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 (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
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
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