MEDIUM

CAT

IMPORTANT

Earn 100

$∆ ABC$ and $ΔXYZ$ are equilateral triangles of $54 cm$ sides. All smaller triangles like $∆ ANM, ΔOCP$ , $ΔQPX$ etc are also equilateral triangles. Find the area of the shape MNOPQRM.

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Important Questions on Taste of The Exams - Block IV

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 19 - Taste of The Exams - Block IV>XAT(2009-2017)>Q 41

A square piece of paper is folded three times along its diagonal to get an isosceles triangle whose equal sides are

10 cm

. What is the area of the unfolded original piece of paper?

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 19 - Taste of The Exams - Block IV>XAT(2009-2017)>Q 42

The difference between the area of the circumscribed circle and the area of the inscribed circle of an equilateral triangle is

2156

sq. cm. What is the area of the equilateral triangle (in sq cm)?

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 19 - Taste of The Exams - Block IV>XAT(2009-2017)>Q 43

Study the figure below and answer the question:

Question Image

Four persons walk from point A to point D following different routes. The one following ABCD takes $70$ . minutes. Another person takes $45$ minutes following ABD. The third person takes $30$ minutes following route ACD. The last person takes 65 minutes following route ACBD. If all were to walk at the same speed, how long will it take to go from point B to point C?

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 19 - Taste of The Exams - Block IV>XAT(2009-2017)>Q 44

In the figure below, two circular curves create $60 °$ and $90 °$ angles with their respective centers. If the length of the bottom curve Y is $10 π$ , find the length of the other curve.

Question Image

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 19 - Taste of The Exams - Block IV>XAT(2009-2017)>Q 45

AB is a chord of a circle. The length of AB is

24 cm

. P is (The midpoint of AB. Perpendiculars from P on either side of the chord meets the circle at M and N respectively. If

PM < PN

and

PM = 8 cm

, then what will be the length of PN?

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 19 - Taste of The Exams - Block IV>XAT(2009-2017)>Q 46

AB, CD and EF are three parallel lines, in that order. Let

d_{1}

and

d_{2}

be the distances from CD to AB and EF respectively.

d_{1}

and

d_{2}

are integers, where

d_{1} : d_{2} = 2 : 1

, P is a point on AB, Q and S are points on CD and R is a point on F-F, If the area of the quadrilateral PQRS is

30

square units, what is the value of QR when the value of SR is the least?

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 19 - Taste of The Exams - Block IV>XAT(2009-2017)>Q 47

ABCD is a rectangle P, Q and R are the midpoint of BC, CD and DA. The point S lies on the line QR in such a way that

SR : QS = 1 : 3

. The ratio of the triangle APS and rectangle ABCD is:

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 19 - Taste of The Exams - Block IV>XAT(2009-2017)>Q 48

The volume of a pyramid with a square base is

200 {cm}^{3}

. The height of the pyramid is

13 cm

. What will be the length of the slant edges (i.e. the distance between the apex and any other vertex), rounded to the nearest integer?

∆ABC and ΔXYZ are equilateral triangles of 54 cm sides. All smaller triangles like ∆ANM,ΔOCP, ΔQPX etc are also equilateral triangles. Find the area of the shape MNOPQRM.

Important Questions on Taste of The Exams - Block IV

Learn and Prepare for any exam you want !

$∆ ABC$ and $ΔXYZ$ are equilateral triangles of $54 cm$ sides. All smaller triangles like $∆ ANM, ΔOCP$ , $ΔQPX$ etc are also equilateral triangles. Find the area of the shape MNOPQRM.