Testbook Logo
Exams SuperCoaching Test Series Skill Academy
More
English
Hindi

Question

Download Solution PDF

If x - (1/x) = 10, then the value of x3 - (1/x3) is :

This question was previously asked in
RRB NTPC Graduate Level CBT-I Official Paper (Held On: 05 Jun, 2025 Shift 3)
Download PDF Attempt Online
View all RRB NTPC Papers >
  1. 986
  2. 992
  3. 1030
  4. 1386

Answer (Detailed Solution Below)

Option 3 : 1030
Free Tests
View all Free tests >
Free
RRB NTPC Graduate Level Full Test - 01
2.4 Lakh Users
100 Questions 100 Marks 90 Mins
Start Now

Detailed Solution

Download Solution PDF

Given:

\(x - \frac{1}{x} = 10\)

Formula used:

\(x^3 - \frac{1}{x^3} = (x - \frac{1}{x})^3 + 3(x - \frac{1}{x})\)

Calculations:

⇒ \(x^3 - \frac{1}{x^3} = 10^3 + 3×10 = 1000 + 30 = 1030\)

∴ The value of \(x^3 - \frac{1}{x^3}\) is 1030.

Download Solution PDF
Latest RRB NTPC Updates

Last updated on Jul 17, 2025

-> RRB NTPC Under Graduate Exam Date 2025 has been released on the official website of the Railway Recruitment Board.

-> The RRB NTPC Admit Card will be released on its official website for RRB NTPC Under Graduate Exam 2025.

-> UGC NET Result 2025 out @ugcnet.nta.ac.in

-> HSSC CET Admit Card 2025 has been released @hssc.gov.in

-> Candidates who will appear for the RRB NTPC Exam can check their RRB NTPC Time Table 2025 from here. 

-> The RRB NTPC 2025 Notification released for a total of 11558 vacancies. A total of 3445 Vacancies have been announced for Undergraduate posts like Commercial Cum Ticket Clerk, Accounts Clerk Cum Typist, Junior Clerk cum Typist & Trains Clerk.

-> A total of 8114 vacancies are announced for Graduate-level posts in the Non-Technical Popular Categories (NTPC) such as Junior Clerk cum Typist, Accounts Clerk cum Typist, Station Master, etc.

-> Prepare for the exam using RRB NTPC Previous Year Papers.

-> Get detailed subject-wise UGC NET Exam Analysis 2025 and UGC NET Question Paper 2025 for shift 1 (25 June) here

->Bihar Police Driver Vacancy 2025 has been released @csbc.bihar.gov.in.

‹‹ Previous Ques
Next Ques ››

More Identities Questions

Q1.\(\quad \text{If} \, x - \frac{1}{x} = 3, \, \text{then the value of} \, x^4 + \frac{1}{x^4} \, \text{is:} \)
Q2. Simplify  \(\frac{8x^3 + 27y^3 - 64z^3 + 72xyz}{4x^2 + 9y^2 + 16z^2 - 6xy + 12yz + 8zx}\)
Q3.Simplify (5x − 2y)2 + (2x + 5y)2 + (5x + 2y)(5x − 2y).
Q4.\(If a^2 + b^2 = 111 ,\) a × b = 27, and  a > b, find the value of \(\frac{a -b}{a+b}\)
Q5.If x - \(\frac{1}{x}\) = 4, then the value of x3 - \(\frac{1}{x^3}\) is:
Q6.If x - (1/x) = 10, then the value of x3 - (1/x3) is :
Q7.Simplify (2x − 5y)2 + (5x + 2y)2 + (2x + 5y)(2x − 5y).
Q8.What is (a + b)2 ??
Q9.The value of \(\frac{(1.01)^3+0.000001}{1.0201-(0.01)^2}\times \frac{(7.85)^2-4.6225}{7.85-2.15}\) is
Q10.\(If a = 8\sqrt{6} - 8\sqrt{5}, b = 8\sqrt{6} + 8\sqrt{5}, c = 6\sqrt{6} + 6\sqrt{5}, d = 4\sqrt{6} + 4\sqrt{5} and e = \sqrt{6} + \sqrt{5}, \)  then which of the following is a rational number?

More Algebra Questions

Q1.Direction: In the given question, two equations numbered l and II are given. Solve both equations and mark the appropriate answer. I. 12x² + 7x − 12 = 0 II. 8y² − 18y + 9 = 0
Q2.Direction: In the given question, two equations numbered l and II are given. Solve both equations and mark the appropriate answer. I. x² − 35x + 294 = 0 II. y² − 38y + 345 = 0
Q3.Direction: In the given question, two equations numbered l and II are given. Solve both equations and mark the appropriate answer. I. x² − 22x + 105 = 0 II. y² − 20y + 96 = 0
Q4.Direction: In the given question, two equations numbered l and II are given. Solve both equations and mark the appropriate answer. I. x² − 11x + 24 = 0 II. y² + 6y − 135 = 0
Q5.Direction: In the given question, two equations numbered l and II are given. Solve both equations and mark the appropriate answer. I. 4x² − 25 = 0 II. y² − 10y + 25 = 0
Q6.\(\quad \text{If} \, x - \frac{1}{x} = 3, \, \text{then the value of} \, x^4 + \frac{1}{x^4} \, \text{is:} \)
Q7.Find roots of 5m² + 18m + 16 = 0 
Q8. Simplify  \(\frac{8x^3 + 27y^3 - 64z^3 + 72xyz}{4x^2 + 9y^2 + 16z^2 - 6xy + 12yz + 8zx}\)
Q9.Sum and product of all roots of 4x3 − 8x2 − 13x + 19 = 0 is :
Q10.Simplify (5x − 2y)2 + (2x + 5y)2 + (5x + 2y)(5x − 2y).
Suggested Test Series
View All >
RRB NTPC Mock Test Series 2024-25 (CBT 1 + CBT 2)
2341 Total Tests with 3 Free Tests
Start Free Test
Current Affairs (CA) 2025 Mega Pack for SSC/Railways/State Exam Mock Test
431 Total Tests with   1 Free Tests
Start Free Test

More Quantitative Aptitude Questions

Q1.The average weight of 12 bags of rice is 45 kg. When the weights of 3 bags of rice with weights (w+5) kg, (w−15) kg, and (w+40) kg are added, the average weight is increased by 2 kg. Find the value of 'w'.
Q2.The value of a laptop depreciates by 10% every year. The laptop is sold after 3 years at a discount of Rs. 270 on its price at that time. What is the total loss percent incurred after selling the laptop if it was purchased at Rs. 10,000?
Q3.Priya and Rahul started a project together, and after 'k' days, Priya left and Rahul finished the remaining project in 8 days. The time taken by Rahul and Priya alone to complete the whole project are in the ratio 2:1 respectively. If Rahul can complete the entire project in 20 days, then calculate the value of 'k'.
Q4.12 years ago, the sum of the ages of P, Q, and R together was 61 years. The ratio of the present age of P to Q is 2:3, and P is 8 years older than R. If the ratio of the present age of P to S is 5:7, then find the present age of S.
Q5.Three times the length of a rectangle is equal to seven times its breadth. The area of the rectangle is 2352 sq. cm. What is the area of a square whose perimeter is equal to that of the rectangle?
Q6.Two containers X and Y contain a mixture of milk and water. In container X, the ratio of milk to water is 5:2. In container Y, the ratio of milk to water is 3:4. The mixtures from X and Y are mixed together in the ratio 7:5 respectively to form a new mixture. How much milk is present in 84 liters of the new mixture?
Q7.A box contains 6 blue balls, y white balls, and (y + 4) black balls. The probability of selecting a white ball at random is 1/4. If two balls are drawn simultaneously, what is the probability that both balls are black?
Q8.Direction: In the given question, two equations numbered l and II are given. Solve both equations and mark the appropriate answer. I. 12x² + 7x − 12 = 0 II. 8y² − 18y + 9 = 0
Q9.Direction: In the given question, two equations numbered l and II are given. Solve both equations and mark the appropriate answer. I. x² − 35x + 294 = 0 II. y² − 38y + 345 = 0
Q10.Direction: In the given question, two equations numbered l and II are given. Solve both equations and mark the appropriate answer. I. x² − 22x + 105 = 0 II. y² − 20y + 96 = 0
Exams
Cut Off
Eligibility
Coaching
Previous Year Papers
Syllabus
Test Series
Important Exams
Super Coaching
Testbook USA SAT Exam
Testbook USA ACT Exam
US College Admissions Guide
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
[email protected]
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Our Apps
Follow us on
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Get Free Access Now
Hot Links： teen patti boss teen patti rummy teen patti joy mod apk