# (Paper) The Review of Mock CAT Sample paper 3

**The Review of Mock CAT
Sample paper 3**

1. In an examination, the
average marks obtained **bystudents
who passed was x%, while the average of** **thosewho failed was y%. The
average marks of all students** **takingthe exam was z%. Find in terms of x,
y and z, the** **percentageof students taking the exam who failed.**

A. x-z/y-z

B. y-x/z-y

C. y-z/x-z

D. z-x/y-x

2. Three girls Joan, Rita, and
Kim and two boys Tim and **Steve are
the only dancers in a dance program, which** **consists of six numbers in
this order: One a duet; two a** **duet; three asolo; four a duet; five a
solo; and six a duet. None of the dancers is in two consecutive numbers or in
more than two numbers. The first number in which Tim ** **appears is the one
that comes before the first number in** **which Kim appears. The second
number in which Tim** **appears is one that comes after the second number in**
**which Kim appears. Which among the following is a** **complete and
accurate list of those numbers that could be** **the
last one in which Kim performs?**

A. four

B. four, five

C. five

D. three

3. Train A traveling at 60
km/hr leaves Mumbai for Delhi at **6
P.M. Train B traveling at 90 km/hr also leaves Mumbai for Delhi at 9 P.M. Train
C leaves Delhi for Mumbai at 9 P.M. If ** **all three trains meet at the same
time between Mumbai and** **Delhi, what is the speed of Train C if the
distance between** **Delhi and Mumbai is 1260 kms?**

A. 135

B. 60

C. 120

D. 90

4. A 5 cubic centimeter cube is
painted on all its side. If it is **sliced
into 1 cubic centimer cubes, how many 1 cubic ** **centimeter cubes will have
exactly one of their sides** **painted?**

A. 98

B. 9

C. 54

D. 61

5. The sentences given in each
question, when properly **sequenced,
form a coherent paragraph. Each sentence is** **labeled with a letter. Choose
the most logical order of** **sentences from among the given choices to
construct a coherent paragraph. ) A. Surrendered, or captured, combatants cannot
be incarcerated in razor wire cages; ** **this ‘war’ has a dubious
legality B. How can then one** **characterize a conflict to be waged against
a phenomenon as war? C. The phrase ‘war against terror’, which has passed
into the common lexicon, is a huge misnomer D.** **Besides, war has a
juridical meaning in international law,** **which has confided the laws of
war, imbuing them with a** **humanitarian content. E. Terror is a phenomenon,
not an entity – either State or non-State.**

A. becda

B. ebcad

C. cebda

D. ecdba

6. Read the passage given below
and answer the questions **that follow
it Modern science, exclusive of geometry, is a** **comparatively recent
creation and can be said to have originated with Galileo and Newton. Galileo was
the first** **scientist to recognize clearly that the only way to further**
**our understanding of the physical world was to resort to** **experiment.
However obvious Galileo's contention may** **appear in the light of our
present knowledge, it remains a** **fact that the Greeks, in spite of their
proficiency in** **geometry, never seem to have realized the importance of**
**experiment. To a certain extent this may be attributed to** **the
crudeness of their instruments of measurement. Still,** **an excuse of this
sort can scarcely be put forward when the** **elementary nature of Galileo's
experiments and** **observations is recalled, Watching a lamp oscillate in
the** **cathedral of Pisa, dropping bodies from the leaning tower** **of
Pisa, rolling balls down inclined planes, noticing the** **magnifying effect
of water in a spherical glass vase, such** **was the nature of Galileo's
experiments and observations.** **As can be seen, they might just as well
have been performed by the Greeks. At any rate, it was thanks to such
experiments that Galileo discovered the fundamental law of dynamics, according
to which the acceleration imparted to a body is proportional to the force acting
upon it. The next advance was due to Newton, the greatest scientist of all time
if account be taken of his joint contributions to** **mathematics and
physics. As a physicist, he was of course** **an ardent adherent of the
empirical method, but his** **greatest title to fame lies in another
direction. Prior to** **Newton, mathematics, chiefly in the form of geometry,
had** **been studied as a fine art without any view to its physical** **applications
other than in very trivial cases. But with** **Newton all the resources of
mathematics were turned to** **advantage in the solution of physical
problems.** **Thenceforth mathematics appeared as an instrument of** **discovery,
the most powerful one known to man,** **multiplying the power of thought just
as in the mechanical** **domain the lever multiplied our physical action. It
is this** **application of mathematics to the solution of physical** **problems,
this combination of two separate fields of** **investigation, which
constitutes the essential characteris** **tic of the Newtonian method. Thus
problems of physics** **were metamorphosed into problems of mathematics. But
in** **Newton's day the mathematical instrument was still in a** **very
backward state of development. In this field again Newton showed the mark of
genius by inventing the integral calculus. As a result of this remarkable
discovery, problems, which would have baffled Archimedes, were solved with ease.
We know that in Newton's hands this new departure in scientific method led to
the discovery of** **the law of gravitation. But here again the real
significance of Newton's achievement lay not so much in the exact quantitative
formulation of the law of attraction, as in his having established the presence
of law and order at least in 11. Fill in the blanks with th appropritae
words Early _____** **of maladjustment to college culture is _____ by the**
**tendency to develop friendship networks outside college** **which
mask signals of maladjustment.**

A. identification, complicated

B. prevention, helped

C. detection, facilitated

D. treatment, compounded

12. The circumference of the
front wheel of a cart is 30 ft long and that of the back wheel is 36 ft long.
What is the **distance travelled by
the cart, when the front wheel has** **done
five more revolutions than the rear wheel?**

A. 900 ft

B. 25 ft

C. 750 ft

D. 20 ft

13. Read the passage given
below and answer the **questions that
follow it Modern science, exclusive of** **geometry, is a comparatively
recent creation and can be** **said to have originated with Galileo and
Newton. ** Galileo was the first scientist to recognize clearly that the
only way to further our understanding of the physical world was to resort
to experiment. However obvious Galileo's contention may appear in the
light of our present knowledge, it remains a fact that the Greeks, in
spite of their proficiency in geometry, never seem to have realized the
importance of experiment. To a certain extent this may be attributed to the crudeness of their instruments of measurement. Still,
an excuse of
this sort can scarcely be put forward when the elementary nature of
Galileo's experiments and observations is recalled, Watching a lamp
oscillate in the cathedral of Pisa, dropping bodies from the leaning
tower of Pisa, rolling balls down inclined planes, noticing the
magnifying effect of water in a spherical glass vase, such was the nature of
Galileo's experiments and observations. As can be seen, they might just as well
have been performed by the Greeks. At any rate, it was thanks to such
experiments that Galileo discovered the fundamental law of dynamics, according
to which the acceleration imparted to a body is proportional to the force
acting upon it. The next advance was due to Newton, the greatest scientist of
all time if account be taken of his joint contributions to mathematics
and physics. As a physicist, he was of course an ardent adherent of the
empirical method, but his greatest title to fame lies in another
direction. Prior to Newton, mathematics, chiefly in the form of geometry, had
been studied as a fine art without any view to its physical applications other
than in very trivial cases. But with Newton all the resources of
mathematics were turned to advantage in the solution of physical
problems. Thenceforth mathematics appeared as an instrument of discovery,
the most powerful one known to man, multiplying the power of thought just
as in the mechanical domain the lever multiplied our physical action. It
is this application of mathematics to the solution of physical problems,
this combination of two separate fields of investigation, which
constitutes the essential characteris tic of the Newtonian method. Thus
problems of physics were metamorphosed into problems of mathematics. But
in Newton's day the mathematical instrument was still in a very
backward state of development. In this field again Newton showed the mark of
genius by inventing the integral calculus. As a result of this remarkable
discovery, problems, which would have baffled Archimedes, were solved with ease.
We know that in Newton's hands this new departure in scientific method led to
the discovery of the law of gravitation. But here again the real significance of
Newton's achievement lay not so much in the exact quantitative formulation of
the law of attraction, as in his having established the presence of law and
order at least in

**16. What is the area of the largest triangle that can be**
**fitted into a rectangle of length 'l' units and width 'w'** **units?**

A. lw/3

B. (lw)/2

C. (3lw)/4

D. (2lw)/3

17. Three girls Joan, Rita, and
Kim and two boys Tim and **Steve are
the only dancers in a dance program, which** **consists of six numbers in
this order: One a duet; two a** **duet; three asolo; four a duet; five a
solo; and six a duet.** **None of the dancers is in two consecutive numbers
or in** **more than two numbers. The first number in which Tim** **appears
is the one that comes before the first number in** **which Kim appears. The
second number in which Tim** **appears is one that comes after the second
number in** **which Kim appears. Rita
must perform only in duets if**

A. Kim is in number two

B. Tim is in number two

C. Tim is in number one

D. Kim is in number five

18. Fill in the blanks with the
appropriate words A growing **number
of these expert professionals ________ having to** **train foreigners as the
students end up _____ the teachers** **who have to then unhappily contend
with no jobs at all ornew jobs with drastically reduced pay packets.**

A. welcome, assisting

B. resent, replacing

C. are, supplanting

D. resist, challenging

19. Read the passage given
below and answer the **questions that
follow it Modern science, exclusive of** **geometry, is a comparatively
recent creation and can besaid to have originated with Galileo and Newton.
Galileo was the first scientist to recognize clearly that the only way to
further our understanding of the physical world was to** **resort to
experiment. However obvious Galileo's contention** **may appear in the light
of our present knowledge, it** **remains a fact that the Greeks, in spite of
their proficiency** **in geometry, never seem to have realizedthe importance
of experiment. To a certain extent this may be attributed to the crudeness of
their instruments of measurement. Still, ** **an excuse of this sort can
scarcely be put forward when the** **elementary nature of Galileo's
experiments and** **observations is recalled, Watching a lamp oscillate in
the** **cathedral of Pisa, dropping bodies from the leaning tower** **of
Pisa, rolling balls down inclined planes, noticing the** **magnifying effect
of water in a spherical glass vase, such** **was the nature of Galileo's
experiments and observations.** **As can be seen, they might just as well
have been performed by the Greeks. At any rate, it was thanks to such
experiments that Galileo discovered the fundamental law of ** **dynamics,
according to which the acceleration imparted to** **a body is proportional to
the force acting upon it. The next** **advance was due to Newton, the
greatest scientist of all time if account be taken of his joint
contributions to** **mathematics and physics. As a physicist, he was of
course** **an ardent adherent of the empirical method, but his** **greatest
title to fame lies in another direction. Prior to** **Newton, mathematics,
chiefly in the form of geometry, had** **been studied as a fine art without
any view to its physical** **applications other than in very trivial cases.
But with** **Newton all the resources of mathematics were turned to** **advantage
in the solution of physical problems. Thenceforth mathematics appeared as an
instrument of discovery, the most powerful one known to man, ** **multiplying
the power of thought just as in the mechanical** **domain the lever
multiplied our physical action. It is this** **application of mathematics to
the solution of physical** **problems, this combination of two separate
fields of** **investigation, which constitutes the essential characteristic
of the Newtonian method. Thus problems of physics** **were metamorphosed into
problems of mathematics. But in** **Newton's day the mathematical instrument
was still in a** **very backward state of development. In this field again**
**Newton showed the mark of genius by inventing the** **integral calculus.
As a result of this remarkable discovery,** **problems, which would have
baffled Archimedes, were** **solved with ease. We know that in Newton's hands
this** **new departure in scientific method led to the discovery of** **the
law of gravitation. But here again the real significance** **of Newton's
achievement lay not so much in the exact** **quantitative formulation of the
law of attraction, as in his** **having established the presence of law and
order at least in**