Testbook Logo
Exams SuperCoaching Test Series Skill Academy
More
English
Hindi
Telugu
Bengali
Marathi

Question

Download Solution PDF

The HCF and LCM of two numbers are 24 and 168 and the numbers are in the ratio 1 ∶ 7. Find the greater of the two numbers. 

  1. 168
  2. 144
  3. 108
  4. 72

Answer (Detailed Solution Below)

Option 1 : 168
Free Tests
View all Free tests >
Free
RRB Exams (Railway) Biology (Cell) Mock Test
8.9 Lakh Users
10 Questions 10 Marks 7 Mins
Start Now

Detailed Solution

Download Solution PDF

Given:

HCF = 24

LCM = 168

Ratio of numbers = 1 ∶ 7.

Formula:

Product of numbers = LCM × HCF

Calculation:

Let numbers be x and 7x.

x × 7x = 24 × 168

⇒ x2 = 24 × 24

⇒ x = 24

∴ Larger number = 7x = 24 × 7 = 168.

Download Solution PDF
Latest RRB NTPC Updates

Last updated on Jul 5, 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.

-> 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

More LCM and HCF Questions

Q1.Find the highest length which can be used to measure exactly the lengths 48 m, 72 m, 96 m and 120 m.
Q2.Seven bells ring at intervals of 2, 3, 4, 6, 8, 9 and 12 minutes, respectively. They started ringing simultaneously at 7.10 in the morning. What will be the next time when they all ring simultaneously?
Q3.If the least common multiple of 85 and 255 can be expressed as 85R+255, then the value of R is:
Q4.Two numbers X and Y are in ratio as 8 : 13. The LCM of these two numbers is 832. How much the value of Y is more than X?
Q5.What is the greatest number that will divide 446 and 487, leaving remainders 9 and 12, respectively?
Q6.Three friends are exercising together. The first friend runs a lap in 12 minutes, the second in 18 minutes, and the third in 24 minutes. If they all start running together, after how many minutes will they all finish a lap together again?
Q7.A gardener has 1826 red flowers and 2486 yellow flowers. He wants to arrange them into the largest possible equal groups such that each group has the same number of red and yellow flowers. What is the maximum number of flowers in each group?
Q8.The difference of two numbers is \( \frac{1}{5} \) of their sum, and their sum is 45. Find the LCM.
Q9.Three bikes, A, B and C, start racing at the same time and from the same point in the same direction in a circular path. A completes a round in 56 sec, B in 48 sec and C in 70 sec . After what time will they meet again at the starting point?
Q10.An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The next time, when they would beep together at the earliest is:

More Number System Questions

Q1.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?
Q2.The prime number nearest to 80 is -
Q3.What value should come in the place of question mark (?) in the following question? \(\rm \sqrt{12.96}\times \sqrt{7.84}\div \sqrt{3.24}\times \sqrt{31.36}=?\)
Q4.Which of the following is divisible by 11? 
Q5.Find the value of X in the given image. \(\rm X=\sqrt{587-\sqrt{121}}\div \sqrt{2316-\sqrt{180-\sqrt{1296}}} \)
Q6.How many numbers up to 700 are divisible by both 3 and 5?
Q7.A number divided by 11 leaves a remainder 3. What is the remainder when the square of the same number is divided by 11?
Q8.Find the smallest 4 digit number which is divided by 8,10,12,15,20 and leaves the remainder as 7. 
Q9.Find the remainder when 2332 divided by 529.
Q10.If N5921 is divisible by 11, find the value of the smallest natural number N.
Crack Quant & LR - Tark Ganit Express with
India's Super Teachers
Explore Supercoaching For FREE
Suggested Test Series
View All >
RRB NTPC Mock Test Series 2024-25 (CBT 1 + CBT 2)
2187 Total Tests with 5 Free Tests
Start Free Test
Current Affairs (CA) 2025 Mega Pack for SSC/Railways/State Exam Mock Test
431 Total Tests with   3 Free Tests
Start Free Test
Suggested Exams
Exam-Logo
RRB NTPC

RRB NTPC Important Links

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.  
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 joy mod apk teen patti plus teen patti real cash game online teen patti teen patti master gold download