EASY

CAT

IMPORTANT

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

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Important Questions on Measurement

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 4 - Measurement>Benchmarking Test 4>Q 8

In an isosceles trapezium

ABCD, P

and

Q

are the mid-points of diagonals

BD

and

AC

, respectively, and

PQ = 4 cm

. The perpendicular drawn from

A

BD

5 cm

and that from

C

BD

6 cm

and each of the diagonals measure

8 cm

. Find the length of the sides of

AB

and

CD

, given that the height of the trapezium is

4 cm

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 4 - Measurement>Benchmarking Test 4>Q 9

Consider a cylinder of radius

7 cm

and height

14 cm

. There is an intelligent ant that needs to travel on the surface of the cylinder. In order to travel to any point on the surface of the cylinder, the ant always chooses the shortest path. What is the distance, along the outer surface of the cylinder, of the point on the top of the cylinder for which the ant requires maximum time to reach?

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 4 - Measurement>Benchmarking Test 4>Q 10

There are

2

identical hollow cubical vessels

A

and

B

A

contains

64

identical solid spherical metallic balls.

B

contains

27

identical spherical balls of the same metal. In each cube, the balls are packed in such a manner that no more balls can be packed (of course balls in

A

will not be the same as balls in

B

). Which cube is heavier?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 4 - Measurement>Benchmarking Test 4>Q 11

There is a fan with

3

blades at

120 °

to each other. Its central circular disc has an area of

3 {πcm}^{2}

and length of the blade is

(20 - \sqrt{3}) cm

. If the tips of the blades are joined so as to form an equilateral triangle, then what will be its area?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 4 - Measurement>Benchmarking Test 4>Q 12

In the given figure, radius of the circle is $2.5 cm$ . $O$ is the centre of the circle and $OB$ bisects angle $ABC$ . What can be the maximum area of $ABCD$ ?

Question Image

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 4 - Measurement>Benchmarking Test 4>Q 13

In the given regular heptagon $ABCDEFG$ , $AB = a$ , $AC = b$ , and $AE = c$ . Which of the following statements are true?

Question Image

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 4 - Measurement>Benchmarking Test 4>Q 14

An insect wants to travel from one bottom corner to the opposite top corner inside a room of dimension $6 \times 8 \times 10$ units. What is the minimum distance that the insect needs to travel?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 4 - Measurement>Benchmarking Test 4>Q 15

In the figure given below, $ABCD$ is a square of side length $4$ units which has four symmetric cuts at all its corners. Find the area of the shaded portion.

Question Image

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

Important Questions on Measurement

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