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from CAT PYQ-Pattern Mocks · 120 min
from CAT VARC Sectional Tests · 40 min
from CAT DILR Sectional Tests · 40 min
from CAT QA Sectional Tests · 40 min
from CAT QA Topic-Wise Tests · 40 min
from CAT DILR Type-Wise Tests · 40 min
from CAT VARC Topic-Wise Tests · 40 min
These come from our free CAT mock tests. Try each one yourself, then open the answer and explanation.
1. Let f(x) = x / (1 + x) for all real x not equal to -1. If f is applied 5 times in succession starting from x = 2, that is f(f(f(f(f(2))))), what is the result?
Correct answer: 2/11
Explanation: Apply f once: f(x) = x/(1+x). Apply twice: f(f(x)) = [x/(1+x)] / [1 + x/(1+x)] = [x/(1+x)] / [(1+2x)/(1+x)] = x/(1+2x). By induction, applying f n times gives x/(1+nx). For n = 5: f_5(x) = x/(1+5x). At x = 2: 2/(1 + 10) = 2/11.
2. There is a sentence given below, followed by a paragraph with four numbered blanks (1)(2)(3)(4). Decide the position where the sentence best fits. Sentence: The difficulty is that generosity, once expected, quietly hardens into obligation. Paragraph: (1) A landlord who forgives a late payment one winter earns the tenant's gratitude. (2) Repeat the kindness a few seasons running, and the tenant begins to plan around it. (3) When the landlord finally insists on the due date, he is accused of cruelty rather than thanked for years of leniency. (4) The very consistency of a favour erodes the freedom that made it a favour in the first place. Where should the sentence be inserted?
Correct answer: Position 2
Explanation: The inserted sentence states the general difficulty: generosity, once expected, hardens into obligation. Sentence 1 establishes the one-off kindness and gratitude as a baseline. The inserted sentence then announces the hardening, which sentence 2 ('the tenant begins to plan around it') and sentence 3 (the accusation of cruelty) go on to demonstrate. It must therefore sit after the initial one-off kindness and before the pattern sets in, so Position 2 fits (Position 1 would precede even the setup).
3. The average of 5 distinct positive integers is 30 and their median is 32. If the smallest integer is at least 10, what is the maximum possible value of the largest integer?
Correct answer: 64
Explanation: Sum = 5 x 30 = 150. Sort as a < b < 32 < d < e. To maximise e, minimise a, b and d: a = 10 (smallest allowed), b = 11, d = 33 (least distinct value above 32). Then e = 150 - (10 + 11 + 32 + 33) = 64, and 64 > 33 so it is valid. Maximum = 64.
4. Nostalgia is often dismissed as a sentimental escape, a refusal to face the present. But psychologists studying the emotion find it does practical work: recalling a cherished past can steady people through uncertainty by reminding them that they have endured before. The point of looking back is not to relocate there but to gather resources for going forward. What looks like retreat can function as preparation. Memory, in this reading, is less a hiding place than a supply line. Which option best captures the paragraph?
Correct answer: Though often dismissed as escapist, nostalgia can serve a forward-looking purpose by supplying resilience during uncertainty.
Explanation: The passage reverses the escapist charge, casting nostalgia as a resource for moving forward. The summary calling nostalgia forward-looking and a supplier of resilience holds both the correction and the function. Calling nostalgia a harmful escape restates the view the passage rejects. Saying nostalgic people endured more hardship invents a causal link. Calling memory the strongest of all human emotions fabricates an unsupported superlative.
5. Working together, 6 men and 8 women finish a task in 10 days, while 26 men and 48 women finish the same task in 2 days. Every man works at the same rate, and every woman works at the same rate. How many days will 15 men and 20 women take to finish the task, working together?
Correct answer: 4
Explanation: Let a man's one-day work be m and a woman's be w. From the data: 10(6m + 8w) = 1 and 2(26m + 48w) = 1, i.e. 60m + 80w = 1 and 52m + 96w = 1. Setting the left sides equal: 60m + 80w = 52m + 96w, so 8m = 16w, giving m = 2w. Substituting: 60(2w) + 80w = 200w = 1, so w = 1/200 and m = 1/100. Combined rate of 15 men and 20 women = 15/100 + 20/200 = 3/20 + 1/10 = 5/20 = 1/4 task per day. Time = 4 days.
6. Read the paragraph and choose the option that best completes it. A common defence of overwork is that long hours signal commitment, and commitment produces results. But this equation confuses input with output, effort with achievement. Studies of knowledge work suggest that beyond a modest threshold, additional hours yield diminishing and eventually negative returns, as fatigue erodes judgement and errors multiply. The exhausted employee at midnight is not, in most cases, being more productive than a rested one at noon. ______
Correct answer: He is merely being more visibly, and more expensively, busy.
Explanation: The paragraph argues that long hours confuse effort with achievement and that the exhausted late worker is not truly more productive. The line saying he is merely being more visibly, and more expensively, busy sharpens that point, completing the input-versus-output critique. The recommendation to invest heavily in overtime compensation endorses the very practice the passage criticises. The line about sleep researchers still disagreeing raises an unresolved debate irrelevant to productivity. The line praising ambition contradicts the paragraph's scepticism about overwork.
| Section | Qs | Marks | Negative | Time |
|---|---|---|---|---|
| Verbal Ability & Reading Comprehension | 24 | 72 | 1 | 40 min |
| Data Interpretation & Logical Reasoning | 22 | 66 | 1 | 40 min |
| Quantitative Aptitude | 22 | 66 | 1 | 40 min |
| Total | 68 | 204 | 120 min |
Sectional timing: each section has its own timer.
Pattern as configured for our mock tests. Always confirm against the official notification.
Dates follow the official notification or the published calendar of the conducting body. A date marked Estimated is our expectation from past cycles, not an announcement. Always confirm on the official website.
Names, question counts and durations as they are set in the series. Attempt any of them after a free sign up.
| Test | Type | Questions | Duration |
|---|---|---|---|
| CAT Free Starter Mock 1 | Full length | 68 | 120 min |
| CAT Free Starter Mock 2 | Full length | 68 | 120 min |
| Test | Type | Questions | Duration |
|---|---|---|---|
| CAT All-India Live Mock 1 | Full length | 68 | 120 min |
| CAT All-India Live Mock 2 | Full length | 68 | 120 min |
| CAT All-India Live Mock 3 | Full length | 68 | 120 min |
| CAT All-India Live Mock 4 | Full length | 68 | 120 min |
| CAT All-India Live Mock 5 | Full length | 68 | 120 min |
| CAT All-India Live Mock 6 | Full length | 68 | 120 min |
| CAT All-India Live Mock 7 | Full length | 68 | 120 min |
| CAT All-India Live Mock 8 | Full length | 68 | 120 min |
| Test | Type | Questions | Duration |
|---|---|---|---|
| CAT PYQ-Pattern Mock 1 | PYQ | 68 | 120 min |
| Test | Type | Questions | Duration |
|---|---|---|---|
| CAT VARC Sectional 1 | Sectional | 24 | 40 min |
| Test | Type | Questions | Duration |
|---|---|---|---|
| CAT DILR Sectional 1 | Sectional | 22 | 40 min |
| Test | Type | Questions | Duration |
|---|---|---|---|
| CAT QA Sectional 1 | Sectional | 22 | 40 min |
| Test | Type | Questions | Duration |
|---|---|---|---|
| CAT QA Topic: Averages 1 | Topic | 22 | 40 min |
| Test | Type | Questions | Duration |
|---|---|---|---|
| CAT DILR Type: Di Bar Line Graphs 1 | Topic | 22 | 40 min |
| Test | Type | Questions | Duration |
|---|---|---|---|
| CAT VARC Topic: Rc Economics Business 1 | Topic | 24 | 40 min |
CAT (Common Admission Test) is the national management-entrance exam conducted by the Indian Institutes of Management (IIMs) for admission to their MBA/PGP programmes and over 1000 other B-schools. It is a single computer-based test of 120 minutes with three sections taken in a fixed order under a hard 40-minute-per-section limit: Verbal Ability & Reading Comprehension (24 questions), Data Interpretation & Logical Reasoning (22 questions) and Quantitative Aptitude (22 questions), for 68 questions and 204 marks. Each correct answer earns +3; each wrong MCQ loses 1 mark, while type-in-the-answer (TITA) questions carry no negative marking. Selection to the IIMs is by percentile plus academics, work experience, diversity and a final Written Ability Test / Group Discussion and Personal Interview round.
Yes. There is a free CAT starter series that stays free forever after a free sign up, plus free sample tests inside premium series. No payment or card details are needed.
Yes. Every free CAT test mirrors the official pattern, timing and marking scheme, including sectional time limits and negative marking where applicable.
Yes. Scoring is instant with section-wise analysis, detailed solutions, percentile and an indicative All India Rank.
Sign up free with your phone number and an OTP, open the free CAT series, and start any test on the real CBT interface. It works on mobile and desktop.
Free and paid tests use the same interface, scoring and analysis. Paid series add many more full mocks, sectional and topic tests, and PYQ-pattern papers for complete coverage.
CAT CAT has 68 questions for 204 marks in 120 minutes: Verbal Ability & Reading Comprehension (24), Data Interpretation & Logical Reasoning (22), Quantitative Aptitude (22).
Yes. In CAT CAT, every wrong answer deducts 1 marks.
English. You can switch the question language inside the test.
CAT 2026 Exam: 29 November 2026. The date comes from the official notification or calendar of the conducting body and updates here when it changes.
17 free tests, listed above with their question counts and durations. The list updates whenever a series changes.
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