Basic Geometry(Exams > Cat > Quantitaitve Aptitude ) Questions and answers for exam Preparation

Exams > Cat > Quantitaitve Aptitude

BASIC GEOMETRY MCQs

Total Questions : 93 | Page 4 of 10 pages

Question 31.

A chord of length 16 cm is drawn in a circle of radius 10 cm. The distance

of the chord from the centre of the circle is :

6 cm
8 cm
10 cm
12 cm

Discuss Question

Answer: Option A. -> 6 cm

Question 32.

The angle in a semi-circle is

an acute angle
an obtuse angle
a right angle
none of these

Discuss Question

Answer: Option C. -> a right angle

Question 33.

In a cyclic quad. ABCD, LA=80°. Then LC=?

80⁰
100⁰
120⁰
160⁰

Discuss Question

Answer: Option B. -> 100⁰

Question 34. There is an equilateral triangle of side ‘a’ units. Now we join any two sides of the triangle to form a cone.What is the radius of the cone formed?

a
a4
aπ
None of these

Discuss Question

Answer: Option D. -> None of these
:
D
Circumfrence of the base of cone = 2

π

r = side of triangle = a
radius (r) =

\frac{a}{2 π}

Question 35. Sixteen cylindrical sprite cans are placed in a square carton such that each can either touches another can or a wall of the carton. Each can is of unit radius. What is the bottom area of the carton?

16 sq units
64 sq units
32 sq units
None

Discuss Question

Answer: Option B. -> 64 sq units
:
B
Ans: b (Add the radii of cans in 1 row. We get 8 as length. Same for breadth. So, carton dimensions: 8 by 8. Bottom area: 8x8=64 sq units.)

Question 36. If the diagonals of a rhombus are 18 cm and 24 cm respectively, then find its perimeter.

15 cm
42 cm
60 cm
68 cm

Discuss Question

Answer: Option C. -> 60 cm
:
C
Ans: c

If The Diagonals Of A Rhombus Are 18 Cm And 24 Cm Respective...

Find length of sides by considering the half of diagonals
(pythagoras theorem):

\sqrt{9^{2} + 12^{2}}

= 15. Perimeter: 4

\times

15. Option(c).

Question 37. A string of certain length n makes one perfect turn around a cube of side A, starting from corner X and ending at Y (as in the fig). Find the length of the string.

√2A
√17A
A
√17(A + 1)

Discuss Question

Answer: Option B. -> √17A
:
B
The string is wrapped equally around the cube 4 times.

So the part ab = A/4. The hypotenuse of the triangle

\sqrt{(A^{2}) + \frac{A^{2}}{16}}

The length of the string is four times this hypotenuse.

\frac{4 \times (\sqrt{17} A)}{4} = \sqrt{17} A

Hence Ans: b

Question 38. An equilateral triangle plate is to be cut into n number of identical small equilateral triangle plates. Which of the following can be a value of n.

Discuss Question

Answer: Option C. -> 256
:
C
Ans: c…. 256
Solution: The total no of plates has to be a perfect square, you can try proving this by using the unitary approach (i.e. by using smaller numbers)

Question 39. Which of the following is not true?
a) Given that the sides of a scalene triangle are integers, then one of the sides can =1
b) The 3 medians of a triangle divide it into 6 similar triangles
c) An isosceles triangle can never be obtuse

Only A
only A and C
Only C
A, B and C

Discuss Question

Answer: Option B. -> only A and C
:
B
option (b)
a is false as if one side is 1, another side is a, then the third side < a+1. this is not possible as it needs to be an integer value and since it’s a scalene triangle, the third side cannot be 1+a
b is true
c is false as there is a possibility of 120

^{\circ}

, 30

^{\circ}

, 30

^{\circ}

Question 40. Two spheres of radii 6 cm and 1 cm are inscribed inside a right circular cone. The bigger sphere touches the smaller sphere and also the base of the cone. What is the height of the cone?