Free DI and LR - 23 Practice Test - CAT 

Question 1

Which of the following was taught as the first class in Mumbai?

A. Equations
B. Numbers
C. Functions
D. Progressions
E. Cannot be determined.

SOLUTION

Solution : B

Option B. (numbers)

 

By the information given:

 



 

 

 

It is also given that Equations is performed before Functions; except in Chennai.

 

 

 

Let us consider these 2 cases:

 

Case (i):

 

One of the days Functions must be taught first. On that day whatever the position of Equations is, it must be after Functions.

 

So the following cases are possible:

 



 

 

 

 

 

Case (ii):

 

 

 

On one day Equations must be taught first. On that day whatever the position of Functions be, it must be after Equations.

 

It is seen that this is happening only in Chennai and that Equations will be 1 and Functions will be 5 (that is the only possibility considering case (i))

 

 

 

Also,

 

In Kolkata as 1, 2, 3 is already occupied Functions 4 and Equations 5 can be the only possibility.

 

Functions 3, Equations 4 can be taken only by Mumbai (as 3 and 4 r already filled inDelhinHyderabad)

 

Hyderabadcan’t take Functions 2, Equations 3 as h already has 3, and henceHyderabadhas to take Equations 1, Functions 2.

 

NowDelhihas to take Equations 2, Functions 3

 

Now the table looks like this:

 

 

 



 

Now, fill in the table with other values:

 

 

 



Question 2

In how many Classes was Numbers taught before Equations?

A. 1
B. 2
C. 3
D. 0
E. Cannot be determined.

SOLUTION

Solution : C

This happened in 3 cities: Mumbai, Kolkata and Chennai hence option C.

Question 3

In which city was progressions performed as fifth class?

A. Delhi
B. Mumbai
C. Hyderabad
D. Chennai
E. Cannot be determined

SOLUTION

Solution : C

Option C

Refer Solution given in Question 1.

Question 4

In how many cities was Functions taught immediately after probability?

A. 1 
B. 2 
C. 0 
D. 3 
E. Cannot be determined 

SOLUTION

Solution : C

This happened in none of the cities option C

Question 5

In which city was Numbers performed as the second class?

A. Kolkata
B. Mumbai
C. Delhi
D. Chennai
E. Cannot be determined.

SOLUTION

Solution : A

In Kolkata. Option A

Question 6

What is the maximum number of students clearing the overall cut offs in exactly 5 PREP-CATs?

A. 1400
B. 1600
C. 1200
D. 1800
E. 1950

SOLUTION

Solution : B

Maximizing the region of 5 lines of overlap, the answer can be obtained as 80% of 2000 = 1600. Option (b)

 

Question 7

What is the minimum number of students clearing the overall cut offs in at least 5 PREP-CATs?

A. 600
B. 400
C. 200
D. 0  
E. 500

SOLUTION

Solution : B

This question asks for (V+VI+VII+VIII)min

 

Answer is 20%  of 2000 =400. Option (b)

Question 8

What is the maximum percentage of students clearing the overall cutoffs in at least 6 prep cats?

A. 70
B. 80
C. 90
D. 60
E. 50

SOLUTION

Solution : D

This question asks for (VI +VII +VIII)max

 

Answer is option (d) 60%

Question 9

What is the minimum percentage of students clearing VA cutoffs in PREP-CAT 1,2 & 3?

A. 10
B. 20
C. 0
D. 30
E. None of these

SOLUTION

Solution : C

The number of students who cleared the cut offs in VA of Prep-CATS 1,2 & 3 is zero as shown below

Question 10

What is the minimum number of students clearing all the cut-offs in the DI section?

A. 30
B. 35
C. 40
D. 20
E. none of these

SOLUTION

Solution : E

option (e)

Find the minimum of all using the shortcut technique explained below

Find the difference of all from 100

Take the sum =405

Take the difference again from 100 = 100-405 = -305

Since this value <0, the minimum of 8 out of 8 is 0

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