CAT exam in100 days
Welcome to the CAT 100 Day Challenge
100 days. 100 questions. One shot at your IIM dream.
The CAT exam isn’t cracked in one night—it’s conquered through daily consistency. That’s why we created the CAT 100 Day Challenge: a free prep journey where you solve one high-quality CAT-level question every day, complete with solutions, shortcuts, and expert tips. In less than 10 minutes a day, you’ll build unstoppable momentum, sharpen your skills, and stay exam-ready without overwhelm. Whether you’re starting late or fighting procrastination, this challenge is your daily push to stay disciplined, focused, and ahead of the competition.
Start today. One question → one habit → one step closer to your IIM seat.
Day 2 of 100: Data Interpretation Quickie
Correct Answer 1
Option C
Correct Answer 2
Option C
Chennai - Pune => 1650
TM Exp => Delhi - Mumbai => Rs X
Beng - Agra => X - 750
Raj Exp => X - 150
Shatabdi Exp is clearly the one running b/w Beng - Agra (X - 750)
X - 150 = 1650
X = 1800
Fare of Shatabdi Exp = 1800 - 750 = 1050
From the conclusion arrived at in the previous question, fare of Raj Exp (Chennai - Pune) is 1650
Day 3 of 100: VARC Vocabulary
Word: Chimerical (adjective)
Meaning: Existing only as the product of unchecked imagination; fantastically visionary or improbable.
Example in a sentence: “The philosopher’s proposal for a new economic system, while intellectually stimulating, was ultimately chimerical, offering no practical path to implementation in the real world.”
Synonyms: Illusory, fanciful, imaginary, utopian.
Why it’s important: Words like “chimerical” often appear in dense, abstract RC passages related to philosophy, science, or politics. Knowing the meaning allows you to quickly grasp the author’s critical tone.
Day 4 of 100: QA Formula - Percentages
If a number increases by x% and then decreases by x%, the net change is always a decrease of 
Example: +10% then -10% → Net change = 102/100 =1% decrease.
If a number increases by x% and then decreases by x%, the net change is always a decrease of
Example: +10% then -10% → Net change = 102/100 =1% decrease.
Day 5 of 100: DILR Data Bite
A shop sells 40% of its stock on Monday, then 30% of the remainder on Tuesday.
What % of the original stock is left?
Correct Answer
42%
After Monday, 60% remains. On Tuesday they sell 30% of that, i.e., 0.3 x 60% = 18%. So remaining is 60% - 18% = 42% (equivalently 0.6 x 0.7 = 0.42)
Day 6 of 100: Tip of the Day
Your mock test is not complete until you have spent at least 3 hours analyzing it. Follow this systematic approach: Phase 1 (1 hour) for the “Big Picture” scan, Phase 2 (1 hour) for the Deep Dive where you re-solve every missed or skipped question, and Phase 3 (1 hour) to create a focused revision plan based on your weak areas.
Day 7 of 100: VARC Vocabulary
Word: Meticulous (adjective)
Meaning: Showing great attention to detail; very careful and precise.
Example in a sentence: “The data interpretation set was complex and required a meticulous approach, where even a single misplaced value could lead to an incorrect conclusion about the sales figures.”
Synonyms: Careful, diligent, precise, scrupulous, thorough.
Why it’s important: Understanding words like ‘meticulous’ is not just about vocabulary; it helps you grasp the nuance and tone of RC passages, especially those describing a scientific process, an historical analysis, or a detailed argument. It can also appear in Critical Reasoning questions describing a flaw in an argument.
Day 8 of 100: QA Average
There are three persons A, B and C in a room. If a person D joins the room, the average weight of the persons in the room reduces by x kg. Instead of D, if person E joins the room, the average weight of the persons in the room increases by 2x kg. If the weight of E is 12 kg more than that of D, then the value of x is?
- 1.5
- 0.5
- 1
- 2
Correct Answer
C. 1
Day 9 of 100: DILR Set
Correct Answer 1
Option A
Correct Answer 2
1
Correct Answer 3
2
Correct Answer 4
Option B
Given, A = 0% I and 100% P
Let B = x% I and (100 – x)% P
Since they are mixed in equal quantity to detect the presence of I.
(0% I + x% I)/2 ≥ 10% Total, x% I ≥ 20% Total
Hence, x% I ≥ 20% of 50 ml = 10 ml
Since each bottle contains only P or only I
Take equal quantity from each bottle say 10 ml and mix them
Now, if at least any one of them will contain only I, then
I % = 10/40 × 100 = 25% > 10%, so impurity will be detected
And if all four bottles contain only P, then 0% I will be detected
Hence, minimum of 1 test required to ascertain that all of them contain only P
Since three bottles contains only P and one contains 80% P and 20% I
Taking equal quantity from each bottle say 10 ml and mixing them
I % = 2/40 × 100 = 5% < 10%, so only one test is not sufficient to detect the bottle
Let the bottles be B1, B2, B3 and B4 in any order
Now consider any two bottles (say B1 and B2) and take equal quantity from each bottle say 10 ml and mix them,
Case I, if I% = 0, then both the bottles are only P and now take any one bottle from either B1 or B2 and mix with either B3 or B4
if I% is still = 0, then the remaining bottle contains 20% I
and if I% = (0 + 20)/2 = 10, then the newly mixed bottle contains 20% I
Case II, if I% = 10, then remaining B3 and B4 are only P, now take either B1 or B2 and mix with B3 or B4
If I% = 0, then the other bottle among B1 or B2 contains 20% I
And if I% is still = 10, then the bottle taken among B1 or B2 contains 20% I
Hence, minimum of 2 tests required in either of the cases
Case I, if only one bottle contains only P and remaining three bottles contains
15% I
Take equal quantity from each bottle and mix them
I% = (0 + 15 + 15 + 15)/4 = 11.25 > 10, so impurity will be detected
Case II, if two bottles contain only P and remaining two bottles contain 15% I
Take equal quantity from each bottle and mix them
I% = (0 + 0 + 15 + 15)/4 = 7.5 < 10, so impurity will not be detected
Hence, minimum of only 1 test ascertain the exact number of bottles containing only P
Day 10 of 100: VARC Paragraph Summary
Correct Answer
Option B
Options A & D are wrong as they focus on production & distribution & miss on ‘business models’. Option C is wrong as the developing economies are not being forced into something.
Day 11 of 100: Tip of the Day
Instead of always using the quadratic formula, master the art of finding roots by inspection using the relationships between roots and coefficients. For a quadratic equation ax2+bx+c=0, the sum of the roots is −b/a, and the product of the roots is c/a.Example: Find the roots of the equation x2−13x+40=0. The roots must have a sum of 13 and a product of 40. The pair (5, 8) satisfies these conditions.
Day 12 of 100: DILR Set
In an event, eight races were organized. In each race, four runners from four different states – Bihar, UP, MP and WB – participate and only one of them emerged as winner. For each of the eight races, at least four of the five persons – P, Q, R, S and T – predicted state which would win that race. Following table gives the predictions made by person for the eight races.
For example, ‘R’ predicted UP to win Race 1, whereas P and T predicted MP to win Race 1 and no one predicted Bihar to win Race 1.
It is also known that:
A person got Rs. 6000 for a correct prediction and lost Rs. 2000 for a wrong prediction.
At the end of the eight races, Q earned the maximum amount of Rs 32000. T neither gained nor lost any amount.
Had ‘R’ made one more correct prediction and Q made one more wrong prediction, the amounts gained by them at the end of the eight races would have got interchanged.
At the end of the eight races, it was observed that had any person predicted that a single state would win all the eight races, he would not have gained or lost any amount.
Q1. What was the amount gained by P at the end of 8 races?
Q2. How many correct predictions did S make?
Q3. How many wrong predictions did Q make?
Q4. In how many races was the winner not predicted correctly by any of the persons?
Correct Answer 1
16000
Correct Answer 2
3
Correct Answer 3
2
Correct Answer 4
1
Day 13 of 100: VARC - Odd One Out
Five jumbled up sentences (labelled 1, 2, 3, 4 and 5), related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the odd sentence and key in the number of that sentence as your answer.
- It is a ridiculously fun movie with enviable quality where, while watching it, it is constantly impossible to determine what happens next.
- I loved Megalopolis.
- Perhaps I am too close to my own grandfather to not find myself fascinated and moved by such a holistic realization of the male boomer worldview.
- Regardless, Megalopolis is a rousingly personal summation of a generation’s ethos by one of its Great Artists, with all the follies of judgment and artistic limitations one might expect.
- Perhaps I am being seduced by the allure of late-style auteurism.
Correct Answer
Option 1
Day 14 of 100: QA Geometry
A trapezium has its shorter and the longer sides as 4 cm and 20 cm respectively. Its parallel sides are 5 cm apart. Find its area (in sq cm).
- 40
- 50
- 60
- 70
Correct Answer
C. 60
