- Sequential Output Tracing (Input Output)
- Syllogism
- Critical Reasoning: Assumptions & Conclusions
- Relationships
- Cause & Effect
- Circular Arrangement
- Coding-Decoding
- Complex Arrangements
- Critical Reasoning: Course of Action
- Critical Path
- Direction and Word Puzzle
- Games And Tournaments
- Linear Arrangement
- Team Selection
- Venn Diagram
- Bar Graphs
- Data Sufficiency
- Line Graph
- Pie Chart
- Tables and Caselets

**CAT :**

Percentage | ||||

Year | No of Questions | Good attempts | Difficulty Level | |

2019
| Slot 1 | 2 | 3 | Moderate |

Slot 2 | 3 | 1 | Moderate | |

2018
| Slot 1 | 3 | 4 | Easy |

Slot 2 | 4 | 3 | Moderate | |

2017
| Slot 1 | 4 | 3 | Easy |

Slot 2 | 3 | 3 | Easy |

**XAT :**

Percentage | |||

Year | No of Questions | Good attempts | Difficulty Level |

2020 | 3 | 2 | Moderate |

2018 | 2 | 3 | Easy-Moderate |

**SNAP :**

Percentage | |||

Year | No of Questions | Good attempts | Difficulty Level |

2019 | 3 | 2 | Moderate |

2017 | 5 | 4 | Moderate |

The list of concepts that are covered in the Number System chapter is as follows: –

• Percentages, fractions and ratios

• Base system

• Concept of change of base

• The multiplying factor (MF) – a% increase is 1 + (a/100) and a% decrease is 1 – (a/100).

• Successive percentage changes

for example, A number N undergoes a percentage change of a % and then b %, the net change is:

New number = N × (1 + a/100) × (1 + b/100)

Now, (1 + a/100) × (1 + b/100) = 1 + a/100 + b/100 + ab/10000

If we say that a + b + ab/100 = c, then (1 + a/100) × (1 + b/100) = 1 + c/100

Hence, c is the effective percentage change when a number is changed successively by two percentage changes

• Concept of indexing

• Concept of simple interest- Simple interest is that type of interest which once credited does not earn interest on itself. It remains fixed over time.

The formula to calculate Simple Interest is

SI = {(P x R x T)/ 100}

Where P = Principal (the original loan taken/ deposit)

R = rate of interest for loan/ deposit

T = time period (time duration for which loan is borrowed)

• Concept of compound interest- An amount P is deposited in an account or lent to the borrower that pays compound interest at the rate of R% p.a. Then after n years the deposit or loan will become:

P(1+R/100)n

• Concept of interest on interest

• Cost price, selling price, profit, loss, mark up, discount and margin

1. In a group of people, 28% of the members are young while the rest are old. If 65% of the members are literates, and 25% of the literates are young, then the percentage of old people among the illiterates is nearest to (CAT 2020)

A) 59 B) 55 C) 66 D) 62

In a group 28% are young, 72% are old

In the same group 65% are literates and 35% are illiterates

Young literates = 1/4 (65%) = 16.25%, So remaining 11.75% are young illiterates.

Out of 35% illiterates = 11.75% is young and remaining 23.25% are old illiterates

So, 23.25/35 × 100 ≅ 66

**(CAT 2019 slot 1)**

Let the income of Amala (A) = 100x , income of Bimala (B) = 100x/1.2 = 83.33 x and

Income of Kamala = 100x/0.8 = 125x

When Kamala’s income goes down by 4% and Bimala’s goes up by 10%,

K’s new income = 125x – 4% of 125x = 120x

B’s new income = 83.33x + 10% of 83.33x = 91.67 x

the percentage by which Kamala’s income would exceed Bimala’s = (120x – 91.67x)/91.67x *100= (28.33/91.67) *100 = 31 (approx)

**(CAT 2019 slot 1)**

Let the CP of pen = p and that of book = b

So as per question 0.15 b – 0.05 p = 7

Or 15b – 5p = 700 ————-1)

Similarly 10b + 5p = 1300 —–2)

Adding both equations 25b = 2000

Or b = 2000/25 = 80

**(CAT 2019 slot 1)**

Final interest at the end of the year = 76000,

Interest rate = 76000/1500000 *100 = 76/15 = 5 1/15

Combine interest rate from amount deposited at 4% and 3% interest rate = (4*2 + 3)/(2+1) =11/3 %

Let the amount ratio of amount deposited in fixed deposit and other deposit be x:y so

x/y = ( 76/15 -11/3 )/(6 – 76/15)

x/y = (76-55)/(90 -76) = 19:14

amount deposited in 6% = 19/33 *15 =8.63 lakh = 9 lakh

Counselling Session

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