English
Hindi
Telugu
Bengali

Question

Download Solution PDF

Simplify:

This question was previously asked in
RPF SI (2018) Official Paper (Held On: 24 Dec, 2018 Shift 1)
Download PDF Attempt in App
View all RPF SI Papers >
  1. 240
  2. 230
  3. 220
  4. 210

Answer (Detailed Solution Below)

Option 4 : 210
Free Tests
View all Free tests >
Free
RPF SI Full Mock Test
120 Qs. 120 Marks 90 Mins
Start Now

Detailed Solution

Download Solution PDF

Simplify:

Formula used:

a ÷ a−b = ab

√a = a1/2

Calculations:

6 ÷ 6−2 = 6 × 62

⇒ 6 × 36 = 216

√36 = 6

√144 = 12

⇒ 216 + 6 - 12

⇒ 210

∴ The answer is 210.

Download Solution PDF
Latest RPF SI Updates

Last updated on Jul 16, 2025

 

-> Indian Ministry of Railways will release the RPF Recruitment 2025 notification for the post of Sub-Inspector (SI).

-> The vacancies and application dates will be announced for the RPF Recruitment 2025 on the official website. Also, RRB ALP 2025 Notification was released. 

-> The selection process includes CBT, PET & PMT, and Document Verification. Candidates need to pass all the stages to get selected in the RPF SI Recruitment 2025. 

-> Prepare for the exam with RPF SI Previous Year Papers and boost your score in the examination. 

‹‹ Previous Ques
Next Ques ››
Exams Tests Super Practice

More Surds and Indices Questions

Q1.Simplify: \({625^{0.17}} \times {625^{0.08}} = {25^?} \times {25^{ - \frac{3}{2}}}\)
Q2.Evaluate:
Q3.Find the simplest form. \(\frac{\left(a^7 × b^3 × c^3\right)}{\left(a^{10} × b^3 × c^4\right)}\)
Q4.Simplify \(\frac{\left(4^{3} \times 5^{4} \times 3^{5}\right)}{\left(4^{1} \times 5^{1} \times 3^{1}\right)}\)
Q5.Find the value of \(\left[\left(\frac{7}{6}\right)^{-9}\times \left(\frac{6}{7}\right)^{-5}\times \left(\frac{1}{8}\right)^{-4}\right]^{-5}\)
Q6. Find the value of \( \left(\frac{1}{7}\right)^{-4} + \left(\frac{1}{9}\right)^{-4} + \left(\frac{1}{5}\right)^{-4} \)
Q7.(19)¹² × (19)⁸ ÷ (19)⁴ = (19)?
Q8.Evaluate (27)2/3 ?
Q9.95.9753.5 ÷ 16.0013.5 × 6.0021.5 ÷ 35.992 = ?
Q10.Find the value of \(\sqrt{6+\sqrt{6+\sqrt{6+\sqrt{6+\sqrt{6+...}}}}}=?\)

More Simplification Questions

Q1.Simplify: \({625^{0.17}} \times {625^{0.08}} = {25^?} \times {25^{ - \frac{3}{2}}}\)
Q2.If 395 × x = 2765, then x is -
Q3.What appro×imate value should come in the place of ‘?’ in the following questions. 345.5 + 125 + 112 - 34 = ?
Q4.What appro×imate value should come in the place of ‘?’ in the following questions. \((?)^3+ (600) = 725\)
Q5.What appro×imate value should come in the place of ‘?’ in the following questions. 12.5 + 155.5 + 120 - 130 = 125 + ? 
Q6.What appro×imate value should come in the place of ‘?’ in the following questions. ? × 12 × 3/4 + 120 = 786
Q7.What appro×imate value should come in the place of ‘?’ in the following questions. 2252 + 1176 + ? + 75 = 3503
Q8.What appro×imate value should come in the place of ‘?’ in the following questions. \({(18\times?)}\div120 \times60 + 48 = 54\)
Q9.What appro×imate value should come in the place of ‘?’ in the following questions. 17/8 × ?/51 × 4/9 = 20/27
Q10.What appro×imate value should come in the place of ‘?’ in the following questions. 72 × 105 ÷ ? + 63 = 567 
Suggested Test Series
View All >
RPF SI Mock Test Series 2024
1318 Total Tests with 2 Free Tests
Start Free Test

More Quantitative Aptitude Questions

Q1.Perimeter of a rectangular field is equal to the perimeter of a triangular field whose sides are in the ratio 3:2:4 respectively. lf area of rectangular field is 500 m2 and sides are in the ratio 5:4 respectively, then calculate the longer side of the triangular field.
Q2.A cistern has an inlet pipe and an outlet pipe. Inlet pipe can fill three-fourth of the cistern in 24 minutes while outlet pipe can empty the one-third filled cistern in 16 minutes. If both the pipes are opened together, then the cistern will be completely filled in-
Q3.In a family, three sons were born for every 3 years one after the other. If the ratio of present ages of father and the eldest son is 15:7 and the average of the present ages of the 3 sons is 18 years. What will be the ratio of the ages of the father and the youngest son after 5 years?
Q4.Train A of length 80m while moving crosses a pole in 16 seconds. lf it is known that the lengths of train B and train A is in the ratio of 3:1, then how long would it take train B to cross a platform which is half the length of train A if the speed of train B is same as that of train A?
Q5.Can A and Can B contain a mixture of soda and water in the ratio of 5 : 3 and 7 : 2 respectively If soda and water are taken out in the ratio of P : Q from can A and B respectively to form a new mixture in which the ratio of soda and water is 12 : 5 respectively, then find the value Of P:Q?
Q6.A boat can covers a certain distance in upstream and same distance in downstream in total of 7 hours 48 minutes, If upstream speed of the boat is 62.5%. of downstream speed of the boat and speed of the stream is 3 km/h, what is the total distance covered by the boat?
Q7.M and R went for shopping and bought two sarees each at different cost. Cost price of saree bought by R is Rs.250 more than the cost price of saree bought by M. Shopkeeper earned a profit of 20% on selling both the sarees together to R and M which he bought them at total Rs.6000. At what cost did M buy saree?
Q8.There are three numbers m, n, and p, such that sum of m and n is 144, sum of thrice of n and five times of p is 464, and sum of p and m is 160, then what is the value of p?
Q9.While calculating average marks of 60 students, the two digits of original marks of a student are written reversed and thereby average of marks is increased by 0.6 Find the difference between the two digits of marks of the student?  
Q10.Simple interest received on a certain sum at a rate of simple interest of 5% for 2 years is Rs.780. If the rate of interest remains same, what will be the total amount at the time of withdrawal at the end of 5 years.  
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
support@testbook.com
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
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Hot Links： teen patti bliss teen patti master online teen patti gold old version