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NATA SERIES
Mathematics

3 Dimensional Coordinate Geometry

28 previous year questions.

Volume: 28 Ques
Yield: High

High-Yield Trend

23
2023
3
2021
2
2019

Chapter Questions
28 MCQs

01
PYQ 2019
medium
mathematics ID: nata-201
A regular hexagonal pyramid is sliced by a plane such that it passes through the centre of its axis. How many additional edges shall be created.
1
12
2
11
3
9
4
24
02
PYQ 2019
medium
mathematics ID: nata-201
You have a 9 x 9 x 9 cm box. How many cubes of side 5 cm will you be able to fit inside it?
1
2
2
1
3
None
4
5
03
PYQ 2021
hard
mathematics ID: nata-202
If a straight line is used to connect V 3, what will be the angle formed between the lines V3 and V1?
straight line
1
30°
2
45°
3
60°
4
90°
04
PYQ 2021
medium
mathematics ID: nata-202
When the sum of two angles makes 90°, what are the angles referred to as?
1
Complementary angles
2
Supplementary angles
3
Acute angles
4
Obtuse angles
05
PYQ 2021
medium
mathematics ID: nata-202
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?
1
An isosceles triangle
2
A Scalene triangle
3
A right angled triangle
4
An equilateral triangle Correct
06
PYQ 2023
easy
mathematics ID: nata-202
A box of dimensions 25cm x 30cm x 45cm is to be painted. A container which contains colour has a capacity to paint 1075cm2. How many containers are required to paint the box completely?
07
PYQ 2023
hard
mathematics ID: nata-202
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?
08
PYQ 2023
medium
mathematics ID: nata-202
Total surface area of a cube having sides "L" is given by A____.
1
LxBxH
2
2(LB+BH+LH)
3
LB+BH+LH
4
6L2
09
PYQ 2023
medium
mathematics ID: nata-202
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?
1
10
2
9
3
8
4
7
10
PYQ 2023
medium
mathematics ID: nata-202
All cross sections of a sphere are
1
Circles
2
Ellipses
3
Semi circles
4
Parabolas
11
PYQ 2023
medium
mathematics ID: nata-202
The diagonal of a cuboid is given by which of the following formulas?
1
4 (l+b+ h)
2
3
4
12l
12
PYQ 2023
medium
mathematics ID: nata-202
If the sum of interior angles of a regular polygon is 540°. Find the name of the polygon
1
Quadrilateral
2
Pentagon
3
Hexagon
4
Septagon
13
PYQ 2023
medium
mathematics ID: nata-202
How many
(1) edges and
(2) vertices do a square based pyramid have?
[Answer format: To be written as edges, vertices in this order. Example 1,2). Only numericals allowed with comma symbol. Answer in any other format other than that specified will not be accepted for marking]
14
PYQ 2023
medium
mathematics ID: nata-202
To make a hockey puck which of 2-D shape needs to be rotated?
1
Wave
2
Circle
3
Rectangle
4
Ellipse
15
PYQ 2023
medium
mathematics ID: nata-202
What is the radius of the incircle of the triangle whose sides measure 5,12 and 13 units?
(Answer to be provided only in units)
16
PYQ 2023
medium
mathematics ID: nata-202
What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9, 40 and 41?
17
PYQ 2023
medium
mathematics ID: nata-202
A hollow iron pipe is 20 cm long and its external diameter is 10 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then what is the weight of the pipe?
(Answer to be provided in kg to the third decimal).
18
PYQ 2023
medium
mathematics ID: nata-202
40 men took a dip in a water tank 50 m long and 20 m broad on a religious day. If the average displacement of water by a man is 5 m3, what will the rise in the water level in the tank be?
(Answer to be provided in cm)
19
PYQ 2023
medium
mathematics ID: nata-202
A card board sheet is of rectangular shape with dimensions 50cm\times 30cm. From each of its corners, a square is cut off so as to make an open box. If the side of the square is 10 cm, then what is the volume of the box?
(Answer to be provided in cm3)
20
PYQ 2023
medium
mathematics ID: nata-202
A glass of cylindrical shape has radius of 3.5cm and height equal to 8cm. A water jug has a volume equal to 1540cm3. How many times the water has to be poured from glass to fill the jug completely? (Take π = )
21
PYQ 2023
medium
mathematics ID: nata-202
Find the number of angles in the following figure. 40° 20° 30°
Find the number of angles in the following figure. 40° 20° 30°
22
PYQ 2023
medium
mathematics ID: nata-202
A regular octahedron has 12 edges, how many vertices does it have?
23
PYQ 2023
medium
mathematics ID: nata-202
The sum of the measures of the angles of regular polygon is 2160°. How many sides does the polygon have?
24
PYQ 2023
medium
mathematics ID: nata-202
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)
25
PYQ 2023
medium
mathematics ID: nata-202
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 cm2).
26
PYQ 2023
medium
mathematics ID: nata-202
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.
27
PYQ 2023
medium
mathematics ID: nata-202
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?
1
Rhombus
2
Rectangle but not a square
3
Parallelogram but not a rhombus
4
Kite
28
PYQ 2023
medium
mathematics ID: nata-202
A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
1
30%
2
24%
3
28%
4
35%

About 3 Dimensional Coordinate Geometry - NATA

3 Dimensional Coordinate Geometry is a vital chapter for NATA aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.

By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.

Frequently Asked Questions

Why focus on 3 Dimensional Coordinate Geometry PYQs?

Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.

How to best use this analysis?

Review the topic breakdown to see which sub-topics within 3 Dimensional Coordinate Geometry carry the most weight. Then, tackle the questions iteratively to solidify your understanding.