CUETMOCK
  • Pricing
  • Mentors
Log inStart freeStart free mocks→

First test, then trust

Try a free CUET mock test.

Join 5,00,000+ students who rehearsed exam day on the exact NTA screen before sitting CUET. On the web and on Android.

Start free mocks →Get the Android app
CUETMOCK

India's #1 CUET Mock Test Platform. Original NCERT-based questions on the exact NTA exam screen — trusted by 5,00,000+ students since CUET 2022.

Get it onGoogle PlayScan to download the CUETMOCK app

Mock tests

  • CUET mock test series
  • Commerce mocks
  • Humanities (Arts) mocks
  • Science mocks
  • Languages & GAT mocks
  • Free practice questions
  • Pricing

Resources

  • CUET exam guide
  • CUET syllabus
  • Universities accepting CUET
  • Expert blogs
  • News & notifications
  • Webinars & counselling
  • CUET score calculator
  • How we estimate your rank
  • FAQs

Company

  • About us
  • Our leadership & team
  • Our toppers
  • Mentors
  • For schools
  • Contact us
  • Terms
  • Privacy
  • Refund policy

Talk to us

+91 7696 6630 56info@cuetmock.comWhatsApp us

Our other platforms

  • JEE Mock — For IIT-JEE aspirants
  • NEET Mock — For NEET aspirants

Newsletter

Exam updates, study material and offers — no spam.

© 2026 NYC Ventures Pvt. Ltd.

701-702, Royal Business Park, Zirakpur, Punjab - 140603

  • Terms of use
  • Privacy policy
  • Refund policy
  • Contact us

iCUETMOCK is an independent preparation platform, not affiliated with the National Testing Agency (NTA). Always check exam details on the official NTA website.

  • Home
  • Mock tests
  • CUET guide
  • Pricing
  • Log in
Home/Practice questions/General Aptitude Test
General Aptitude TestQuantitative ReasoningAlgebra

What is the constant term in the expansion of ≤ft(5 x^2-1/x)^3 ?

What is the constant term in the expansion of $\left(5 x^2-\frac{1}{x}\right)^3$ ?

Answer & explanation+

Correct answer: option 1

(a - b)3 = a3 - b3 - 3ab(a-b)

$\left(5 x^2-\frac{1}{x}\right)^3$ = (5x2)3 - \(\frac{1}{x^3}\) - 3 × 5x × \(\frac{1}{x}\)($\left(5 x^2-\frac{1}{x}\right)$

$\left(5 x^2-\frac{1}{x}\right)^3$ = 125x6 – \(\frac{1}{x^3}\) – 75x3 + 15

So the constant term will be = 15

Advertisement

Practise more on Quantitative Reasoning

Chapter-wise mocks on the real NTA exam screen, with solutions and your rank. Your first mocks are free.

Start free mocks →

Advertisement

Next questions

  1. It was Saturday on January 1, 2005. Find the day of the week on January 1, 201General Aptitude Test · Verbal Reasoning
  2. Choose the correct options with relation to economic consequences of globalisation.A. IMF and WTO play a role in determining economic polic…Political Science · Contemporary World Politics: Globalisation
  3. To make an octahedral complex of Mg^2+ ion, how many molecules of EDTA are used?Chemistry · Inorganic: Coordination Compounds
  4. Select the Venn diagram that best represents the relationship between the following. Infectious diseases, Deficiency diseases, Goitre, Rick…General Aptitude Test · Verbal Reasoning
  5. In France before the Revolution, peasants had to pay a tax to the Church made up of one-tenth of their agricultural produce. What was this…General Aptitude Test · General Knowledge
  6. Any industry located in a rural area which produces any goods, renders any service with or without the use of power and in which the fixed…Business Studies · MSME and Business Entrepreneurship
  7. In the following question find out the alternative which will replace the question mark. city : Paris :: country : ?English · Analogy
  8. Identify the word that means horizontal rows in periodic table.General Aptitude Test · General Knowledge
  9. निम्नलिखित में से कौन-सी रचनाएँ महाकाव्य हैं?(A) साकेत(B) प्रियप्रवास(C) रश्मिरथी(D) मधुशाला(E) एकांत संगीतनीचे दिए गए विकल्पों में से सही…Hindi · हिंदी साहित्य (रचना, रचनाकार और विधाएँ)
  10. Four words have been given, out of which three are alike in some manner and one is different. Select the odd one.General Aptitude Test · General Ability