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NATA
List of top Questions asked in NATA
Identify the number of faces/ planes in the given 3-D image.
NATA - 2023
NATA
Drawing and Visual Composition
3D Composition
Find the diameter of the circle if the circumference of the circle is
\(\frac{11}{5}\)
m.
(Answer has to be provided in cm. Any other format will not be accepted for marking)
NATA - 2023
NATA
Mathematics
Coordinate Geometry
Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.
NATA - 2023
NATA
Mathematics
Algebra
Find the value of the QUESTION MARK.'?'
NATA - 2023
NATA
General Aptitude
General Aptitude
An organ pipe closed at one end has a fundamental frequency of 1500Hz. What is the maximum number of overtones generated by this pipe, which a normal person can hear?
NATA - 2023
NATA
Physics
Optics
At resonance air column of length 20cm resonate with a tuning fork of frequency 450 Hz. ignoring end correction, the velocity of sound in air is? (Answer to be given in m/s)
NATA - 2023
NATA
Physics
Optics
Look at this series: What number should come next?
5.2, 4.8, 4.4, 4, ?
NATA - 2023
NATA
General Aptitude
General Aptitude
Solve the given puzzle:
NATA - 2023
NATA
General Aptitude
General Aptitude
A glass of cylindrical shape has radius of 3.5cm and height equal to 8cm. A water jug has a volume equal to 1540cm
3
. How many times the water has to be poured from glass to fill the jug completely? (Take
π
=
\(\frac{22}{7}\)
)
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
Find the number of angles in the following figure. 40° 20° 30°
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
Standing waves are produced in 10m long stretched string. If the string vibrates in 5 segments and wave velocity is 20m/s, its frequency is? (Answer to be given in Hz)
NATA - 2023
NATA
Physics
Optics
Triangle ABC has angles A = 60° and B = 70°. The in-center of this triangle is at I. Find angle BIC. (Provide answer in degrees)
NATA - 2023
NATA
Mathematics
Coordinate Geometry
A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
Seven cubes of same volume having side 5 cm are joined end to end. Find the Surface area of the resulting cuboid. (Answer to be provided in cm
2
).
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
How many elephants can you spot in the image given below:
NATA - 2023
NATA
General Aptitude
General Aptitude
The difference between two positive numbers is 5 and the sum of their squares is 73. Find the product of these numbers.
NATA - 2023
NATA
Mathematics
Algebra
A regular octahedron has 12 edges, how many vertices does it have?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
A small village, having a population of 5,000 requires 75 litres of water per head per day. The village has got an overhead tank of measurement 40 m x 25m x 15 m. For how many days will the water in the tank last?
NATA - 2023
NATA
Mathematics
Algebra
Find the area of a square, one of whose diagonals is 9.2 m long. (Provide answer up to the second decimal in sq m)
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be not green?
NATA - 2023
NATA
Mathematics
Statistics and Probability
The sum of the measures of the angles of regular polygon is 2160°. How many sides does the polygon have?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
Carefully observe the given image set made of numbers.
You can view the image for 45 seconds after which it will disappear. You will then answer two questions based on the image.
Caution:
The image once viewed cannot be viewed again.
What number is repeated in the given number set?
NATA - 2023
NATA
General Aptitude
General Aptitude
A tank is 25 m long, 12 m wide and 6 m deep. What is the cost of plastering its walls and bottom if the cost per square meter is Rs 75 per sq. m? (Answer to be provided in Rupees)
NATA - 2023
NATA
Mathematics
Statistics and Probability
The average of 15 numbers is 18. The average of first 8 is 19 and the last 8 is 17, then what is the
\(8^{th}\)
number?
NATA - 2023
NATA
Mathematics
Algebra
In a class of 100 students, 55 students have passed in mathematics and 67 students have passed in Physics. Then, how many students have passed in physics only?
NATA - 2023
NATA
General Aptitude
Sets and Relations
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