Analysis

The CAT 2015 (evening slot): Detailed Analysis and conclusions

CAT maintained its character in the evening slot and was almost on the lines of morning slot. DILR was tough and time consuming. VA was easy. Though QA was fairly manageable, it was a tad tougher than what came in the morning slot.

Section – 1 : Verbal Ability and Reading Comprehension

VARC was the easiest section. This was the first section of the CAT paper was divided into two sub-sections. RCs, though a bit lengthy, were relatable and contained some easy questions. The level of RC passages, in terms of reading, was lower than last year. There was a small mistake in the exam directions. They quoted RCs would have 4 questions each and DILR might have questions from 3-5. But, the exam had 3 RCs with 6 questions and 2 RCs with 3 questions each and DILR cases had 4 questions each. Para jumbles were tricky as it is hard to guess the correct order and multiple combinations can be formed.

The section had two parts
One, with 24 questions based on Reading Comprehension and
Second, with 10 questions 4 Para jumbles , 3 on Essence of the paragraph and 3 on odd sentence out of a jumbled up paragraph.
A good student should be able to attempt up to 28 questions with almost 85% accuracy. Do not worry about accuracy in the jumbled up paragraph types as they didn’t negative marking.

Here is a detailed analysis of the section
Sub – section I : Reading Comprehension

 

No. Of Questions

Difficulty Level

Reading Comprehension

24

 

Passage 1

3

Easy

Passage 2

http://www.bbc.com/news/magazine-33291373

6

Moderate

Passage 3

3

Easy to Moderate

Passage 4

http://www.nytimes.com/2015/06/18/opinion/the-ganges-water-crisis.html?_r=0

6

Moderate

Passage 5

6

Easy to Moderate

 

Sub – section II : Verbal Ability

What was interesting is that all VA questions except the essence questions were non MCQ . The questions in which the sentences had to be arranged in a logical paragraph had 5 sentences each and were numbered 1 to 5. The message was clear attempt all the jumbled up paragraphs because there was no negative marking for them.

Again questions on Odd sentence out and those on essence were fairly simple and could be easily done accurately by eliminating the “not possible” choices. While even when one is confused in the jumbled up paragraphs because one did not have the support of the option choices – one must still attempt them as all of them were non-MCQ questions and hence one does not have to worry about negative marks.

The odd sentence out and the essence questions were fairly simple and could be answered easily by eliminating the options.

Surprises
Not much except that in tune with the sample paper that IIMs had put up – the questions based on vocabulary and English Usage (Grammar) went missing completely.

Section – 2 : Data Interpretation and Logical Reasoning
Most cases were time consuming beyond the generally challenging DI & LR. Patience, perseverance and concentration were needed to do the section well. The section had two subsections.

Subsection I: Data Interpretation
There were 4 Cases with 4 questions each. One case was of non MCQ variety.

Subsection II: Logical Reasoning
There were 4 Cases with 4 questions each. One case was of non MCQ variety.

One can do up to two to three more cases and hence an attempt of anywhere between 16-20 questions in this section would be a good idea.

Surprises
As already suggested, that this section was surprisingly tough. No questions on blood relations which had found some presence in recent previous CATs.

The primary skill that was tested was puzzle solving which required students to try out scenarios, try and verify and to visualize strongly.

Section – 3 : Quantitaive Ability

This section was a pleasant surprise for all those students who are scared of mathematics. It was sitter in the true sense of the word. Increased stress on arithmetic made it all the more of a blessing for CHEM students. The ratios approach would have increased their speed immensely in solving many questions. Geometry questions were simple and could have been easily done by observation of diagrams drawn. While all questions could have been done but even if we discount a few cumbersome ones – a sincere student can do up to 25 questions with almost cent percent accuracy.
Here is a detailed analysis of the section

Subject

No. of Qs.

Difficulty Level

Ratios & Percentages

3

2 simple

1 moderate

Profit & Loss

1

simple

Averages, Mixtures & Alligation

2

1 simple
1 Moderate

Work & Time

2

Both simple

Speed, Time & Distance

2

Both moderate

Number Theory

1

Moderate

Geometry & Mensuration

5

3 simple

2 moderate

Quadratic & higher order equation

4

3 simple

1 tricky

Linear Equation

2

Simple

Logaritham

1

Moderate

Functions

1

Moderate

Squences & series

2

1 simple

1 Tricky

Trigonometry – Heights & Distance

1

Simple

Coordinate Geometry

1

Simple (actually of P& C)

Set Theory

1

Moderate

In equation

2

Moderate

 

Overall View
The test was simple overall – one expects it to be high on attempts. Here is what a top IIM call might demand

Section

Attempt

Accuracy

VA & RC

27-30

85%

DI & LR

16-20

95%

QA

25-28

95%

Overall

68-78

90%

 

For A & B+ category B-Schools a good overall attack could be as under

Section

Attempt

Accuracy

VA & RC

24-26

85%

DI & LR

12-14

95%

QA

20-22

95%

Overall

56-62

90%

 

One can grade the tables proportionately lower for next level of colleges.

Go on and see a more detailed analysis on the following pages.

Hope you like and appreciate the effort of Team-CHEM in putting up this analysis.


QA

Question 1
Question:

Total area of 4 walls of a room including windows and door is 72 square ft. width of the room is half of the length and height is 2 ft more than the width what is the area of the floor

Solution:




Question 2
Question:

If (5.55)x = (0.555)y = 1000 then
(a) 1/x + 1/y = 1/2
(b) 1/x – 1/y = 1/2
(c) 1/x + 1/y = 1/3
(d) 1/x – 1/y = 1/3

Solution:


Question 3
Question:

If 64x = 48y = 36z and x, y, z, are all positive then 1/x + 1/z is
(a) 1/y
(b) 2/y
(c) 3/y
(d) 4/y

Solution:


Question 4
Question:

If f(x) = ax + b where a is positive and f(f(f(x))) = 8x + 21 for all x then 2a + b is

Solution:




Question 5
Question:

If area of a rectangle is equal to area of a square. Perimeter of the rectangle is twice that of square. The length of the longer and shorter side of rectangle are in ratio

Solution:




Question 6
Question:

Which of the statement about (x + 1/x) is correct for all the positive values of x

(a) 1 <= x + 1/x <= 2
(b) x + 1/x >= 2
(c) 2 <= x + 1/x
(d) x+ 1/x >= 1 but not necessarily >= 2

Solution:

x+1/x is always greater than or equal to 2 for positive values of x. option (b).


Question 7
Question:

Which of the following statements for all value of a and b satisfying inequalities |a – 10| <= 3 and |b – a| < 5
(a) 1 < b < 17
(b) 2 < b < 18
(c) 0 < b < 16
(d) –1 < b < 15

Solution:

|a – 10| <= 3
a – 10 <= 3
a <= 13
& – a + 10 > 3
a <= 7
b – a < 5
for a = 13
b – 13 < 5 or b < 18
for a <= 7 b – 7 < 5 or b < 12
– b + a < 5
for a <= 13
– 13 + a <= 5
b < 8
–b + 13 < 5
b > 8
or for a <= 7
– 7 + b > 5
b > 2

so range for b => 2 < b < 18.
Option (b).


Question 8
Question:

Find the sum of
(a) 57 /10
(b) 59 / 10
(c) 44/7
(d) 40/7

Solution:




Question 9
Question:

In how many ways you can pay 100 Rs. using five rupee and two rupee coin

Solution:




Question 10
Question:

In how many ways constant P be chosen such that equation x2 + x + P = 0 and x2 + px + 1 = 0 have a common real root

Solution:




Question 11
Question:

Last year’s incomes of A, B, C are in the ratio 4 : 3 : 5. A’s last year income and this year’s income is in the ratio 2 : 3. B’s last year income and this year’s income is in the ratio 3 : 4. C’s last year income and this year’s income is in the ratio 4 : 5. Sum of incomes of A, B, C is 819000 then income in rupees of C this year exceeds that of A by.

Solution:




Question 12
Question:

A sum can pay P alone for 21 days or Q alone for 28 days. For how many days the same sum can pay P & Q both.

Solution:




Question 13
Question:

Rahim & John start walking at 12 noon at constant but different speeds Rahim is walking from A to B. John is walking from B to A. They cross each other at 3 pm. If Rahim reaches his destination 2.5 hours before John then John reaches A at.

Solution:




Question 14
Question:

If a farmer sells 1/3rd of his produce at a profit of 14%, 2/5th of his produce at a profit of 17.5% and rest at a profit of 20%. His overall profit percentage is
(a) 16%
(b) 16.5%
(c) 17%
(d) 18%

Solution:




Question 15
Question:

For angles of a quadrilateral are in arithmetic progression and largest angle is 3 times the smallest angle then the smallest angle is
(a) 37 degree
(b) 40 degree
(c) 42 degree
(d) 45 degree

Solution:




Question 16
Question:

How many positive integers M can be expressed as M = 76 + N / N – 1 where N is positive and greater than 1

Solution:




Question 17
Question:

Length of two parallel chords on the same side of centre are 6 and 4 centimeter. If distance between the chords is two centimeter than what is the radius of circle
(a) 2(3)^1/2
(b) 3(2)^1/2

Solution:




Question 18
Question:

Maximum distance between any two points on the graph of the equation |x| + ….. |y| = 10

Solution:


Question 19
Question:

Ram divided a cake in the ratio 1 : 2 : 5. He gave largest share to Shyam. Shyam divided his part in the ratio 1 : 3 : 6 and gave smallest part to Jadav. If Jadav gets 20 gm then weight of whole cake is

Solution:




Question 20
Question:

An ant is at one end of the bridge. Angle suspended by a tower is 60 degree. Ant moves back to another end of the bridge. Angle suspended by the tower is 30 degree now. What is the length of the bridge.

Solution:




Question 21
Question:

There are two jars of same capacity. One contains acid and another water. Two liters of each jar if taken and transport two another jar. The process is repeated one more time. If they now contain same amount of acid, what is the capacity of the jar.
(a) 8 liter

Solution:

2 lines of acid is poured twice into new jar i.e. 4 liters is drawn ant & 4 remains so capacity is 8 liters.


Question 22
Question:

If (P, Q) is a point on the circle with centre at origin and radius 1 and P > 0, Q > 0 then
(a) P^6 + Q^6 > 1
(b) P^4 + Q^4 > 1
(c) P^3 + Q^3 > 1
(d) P + Q > 1

Solution:

(b); Equation of circle will be x^2 + y^2 = 1
P^2 + q^2 = 1 as p & q can be positive or negative for even powers of p & q their sum is always possible therefore p^4 + q^4 > 1


Question 23
Question:

Arithmetic mean of those integers which lie between 100 & 999 and have right most digit twice the left most is

Solution:




Question 24
Question:

Mean weight of A, B, C, D is 69. Mean weight of A, B, C, D, E is 66. Weight of F is 3 kg more than that of E. Mean weight of B, C, D, E, F is 64. The weight of A is __________

Solution:

Combined weight of A B C D = 69 x 4 = 276
& of ABCDE = 66 x 5 = 330
Weight of E = 330 – 276 = 54
therefore weight of F = 57
Combine weight of BCD = 64 x 5 – (54 + 57)
= 209
therefore weight of A = 276 – 209 = 67 kgs.


Question 25
Question:

Cost of pen is twice that of Pencil. While preparing bill of few Pens and 16 Pencils, prices got interchanged. If as a result the customer had to pay 50% more then no. of pens purchased is ______

Solution:

2x x n + x x 16 = 3/2 (2x x 16 + x x n)
4n + 32 = 48 + 3n
n = 16


Question 26
Question:

Ages of 3 brothers are in arithmetic progression. Two years from now age of the eldest will be thrice that of youngest. 6 years from now age of the eldest will be twice that of youngest. Sum of present ages is

Solution:

a, a + d, a + 2d
a + 2d + 2 = 3 (a + 2) => 2d = 2a + 4
a + 2d + 6 = 2 (a + 6) => 2d = a + 6
2a + 4 = a + 6
a = 2 therefore d = 4
Total sum = a + a + d + a + 2d = 3a + 3d = 3 x 2 + 4 x 3 = 18


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DI and LR
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