Jabbing the XAT>Chapter 3 - Data Interpretation and Quantitative Ability>Crack XAT 4>Q 71

HARD

XAT

IMPORTANT

Earn 100

Given if $0 \leq [x] < 2; - 1 \leq [y] < 1 & 1 \leq [z] < 3$ (where [.] denotes the greatest integer function) then the maximum value of determinant $|\begin{matrix} [x] + 1 & [y] & [z] \\ [x] & [y] + 1 & [z] \\ [x] & [y] & [z] + 1 \end{matrix}|$ is

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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>Crack XAT 4>Q 73

The equation of motion of a stone thrown vertically upward is

s = ut - \frac{1}{2} a t^{2}

. The maximum height attained by it

EASY

XAT

IMPORTANT

Jabbing the XAT>Chapter 3 - Data Interpretation and Quantitative Ability>Crack XAT 4>Q 74

The curves

x^{2} - y^{2} = 5

and

\frac{x^{2}}{18} + \frac{y^{2}}{8} = 1

, cut each other at any common point at an angle:

MEDIUM

XAT

IMPORTANT

Jabbing the XAT>Chapter 3 - Data Interpretation and Quantitative Ability>Crack XAT 4>Q 75

The area of the region bounded by the curve

y^{2} = 2 y - x

and the

y -

axis is

EASY

XAT

IMPORTANT

Jabbing the XAT>Chapter 3 - Data Interpretation and Quantitative Ability>Crack XAT 4>Q 77

If

θ

is the measure of the angle between two unit vector

{\hat{i}}_{1}

and

\hat{i_{2}}

, then

\frac{1}{2} |{\hat{i}}_{1} - {\hat{i}}_{2}|

is equal to:

HARD

XAT

IMPORTANT

Jabbing the XAT>Chapter 3 - Data Interpretation and Quantitative Ability>Crack XAT 4>Q 79

If

f (x)

is an even function defined on the interval

(- 5, 5)

, then four real values of

x

satisfying the equation

f (x) = f (\frac{x + 1}{x + 2})

are

\dots \dots \dots .

.

EASY

XAT

IMPORTANT

Jabbing the XAT>Chapter 3 - Data Interpretation and Quantitative Ability>Crack XAT 4>Q 80

A man invited some boys and girls on the birthday of his son. The number of boys was less than that of girls by

2

. He gave Rs.

10

to each boy and Rs.

20

to each girl. If the total amount distributed by him is Rs.

280

, then what was the number of boys?

EASY

XAT

IMPORTANT

Jabbing the XAT>Chapter 3 - Data Interpretation and Quantitative Ability>Crack XAT 4>Q 81

A farmer owns a circular plot with diameter

56 m

. He builds a

7 m

wide garden around the plot outside which costs him Rs

260

per square meter. What is the total cost borne by the farmer for building the entire garden?

EASY

XAT

IMPORTANT

Jabbing the XAT>Chapter 3 - Data Interpretation and Quantitative Ability>Crack XAT 4>Q 82

If

f (x) = x + \frac{1}{x}

, then

[f (x)]^{3}

is equal to: