EASY

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IMPORTANT

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

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Important Questions on Data Interpretation and Quantitative Ability

EASY

XAT

IMPORTANT

Jabbing the XAT>Chapter 3 - Data Interpretation and Quantitative Ability>Solved Paper 2016>Q 57

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?

EASY

XAT

IMPORTANT

Jabbing the XAT>Chapter 3 - Data Interpretation and Quantitative Ability>Solved Paper 2016>Q 58

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

2156 sqcm

. What is the area of the equilateral triangle?

MEDIUM

XAT

IMPORTANT

Jabbing the XAT>Chapter 3 - Data Interpretation and Quantitative Ability>Solved Paper 2016>Q 59

A person standing on the ground at point $A$ saw an object at point $B$ on the ground at a distance of $600 m$ . The object started flying towards him at an angle of $30 °$ with the ground. The person saw the object for the second time at point $C$ flying at $30 °$ angle with him. At point $C$ , the object changed direction and continued flying upwards. The person saw the object for the third time when the object was directly above him. The object was flying at a constant speed of $10 km / h$ .

Question Image

Find the angle at which the object was flying after the person saw it for the second time. You may use additional statement(s) if required.

Statement I: After changing direction, the object took $3$ more minutes than it had taken before.

Statement II: After changing direction, the object travelled an additional $200 \sqrt{3} m$ .

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IMPORTANT

Jabbing the XAT>Chapter 3 - Data Interpretation and Quantitative Ability>Solved Paper 2016>Q 60

For two positive integers

a

and

b

, if

{(a + b)}^{(a + b)}

is divisible by

500

, then the least possible value of

a \times b

is :

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IMPORTANT

Jabbing the XAT>Chapter 3 - Data Interpretation and Quantitative Ability>Solved Paper 2016>Q 61

Pradeep could either walk or drive his office. The time taken to walk to the office is

8

times the driving time. One day, his wife took the car making him to walk to office. After walking

1

km , he reached a temple when his wife called to say that he can now take the car. Pradeep figured that continuing to walk to the office will take as long as walking back home and then driving to the office. Calculate the distance between the temple and the office,

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IMPORTANT

Jabbing the XAT>Chapter 3 - Data Interpretation and Quantitative Ability>Solved Paper 2016>Q 62

f

is a function for which

f (1) = 1

and

f (x) = 2 x + f (x - 1)

for each natural number

x \geq 2

. Find

f (31)

MEDIUM

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IMPORTANT

Jabbing the XAT>Chapter 3 - Data Interpretation and Quantitative Ability>Solved Paper 2016>Q 63

Two numbers in the base system

B

are

2061_{B}

and

601_{B}

. The sum of these two numbers in decimal system is

432

. Find the value of

1010_{B}

in the decimal system.

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IMPORTANT

Jabbing the XAT>Chapter 3 - Data Interpretation and Quantitative Ability>Solved Paper 2016>Q 64

A water tank has

M

inlet pipes and

N

outlet pipes. An inlet pipe can fill the tank in

8 h

while an outlet pipe can empty the full tank in

12 h

. If all pipes are left open simultaneously, it takes

6 h

to fill the empty tank. What is the relationship between

M

and

N ?

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

Important Questions on Data Interpretation and Quantitative Ability

Learn and Prepare for any exam you want !

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