Answer
Hint: Subtracting all the divisors with their corresponding remainders given in the question we get the difference as 10 so the required number is obtained by taking the L.C.M of 35, 45, 55 and then do the subtraction between the result of this L.C.M and 10.
Complete step-by-step answer:
In the question above, we have given three divisors and the remainder corresponding to those divisors. In the following we have shown the divisors and their corresponding remainders. The first number is divisor and the second number is its corresponding remainder. 35, 2545, 3555, 45 We are going to find the difference of these divisors and remainders corresponding to the divisors.$\begin{align} & 35-25=10 \\ & 45-35=10 \\ & 55-45=10 \\ \end{align}$ As you can see from the above that we are getting the same difference so to find the least number we have to take the L.C.M of 35, 45, 55 and then subtract 10 from the result of this L.C.M.To find the L.C.M (35, 45, 55) we are going to write the factors of all the three numbers.$\begin{align} & 35=7\times 5 \\ & 45=3\times 3\times 5 \\ & 55=11\times 5 \\ \end{align}$ Now, the L.C.M of the three numbers will be the multiplication of the least number which is common among the three numbers.$\begin{align} & L.C.M\left( 35,45,55 \right)=5\times 9\times 7\times 11 \\ & \Rightarrow L.C.M\left( 35,45,55 \right)=3465 \\ \end{align}$ Subtracting 10 from the result of the L.C.M of the three numbers we get,$3465-10=3455$ From the above solution, the least number which on division by 35 leaves a remainder 25 and on division by 45 leaves the remainder 35 and on division by 55 leaves the remainder 45 is 3455. Hence, the correct option is (b).Note: You might be thinking why we have taken the L.C.M of the three divisors and then subtract with 10.First of all we have to find the least number which on division with the 3 divisors gives the corresponding remainders so the least number is implying that we should take L.C.M of the three divisors and then we have subtracted from 10 to compensate the three different remainders.
4. Find the least number which is divided by 35, 45 and 55 leaves the remainders 18, 28 and 38 respectively.
Q
Find the least number which when divided by 35, 45 and 55 leaves the
remainders 18, 28 and 38 respectively.
Least of number which when divided by 35,45,55 and leaves remainder 18,28,38 is ?
The Difference between any divisor and the corresponding remainder is 17. Required number= (L.C.M of 35,45,55)-17 = 3465-17
= 3448
- adani enterpris interview questions and answers,
- adani green energy ltd interview questions and answers,
- adani ports ltd interview questions and answers,
- adani total gas ltd interview questions and answers,
- adani transmission ltd interview questions and answers,
- ambuja cements interview questions and answers,
- apollo hospital interview questions and answers,
- Aptitude Questions and Answers,
- aurobindo pharm interview questions and answers,
- avenue supermarts ltd interview questions and answers,
- axis bank interview questions and answers,
- bajaj auto interview questions and answers,
- bajaj finance interview questions and answers,
- bajaj finserv ltd interview questions and answers,
- balkrishna industries interview questions and answers,
- bandhan bank interview questions and answers,
- berger paints interview questions and answers,
- Bharat Petroleum Corporation Ltd interview questions and answers,
- biocon interview questions and answers,
- britannia industries ltd interview questions and answers,
- cadila health interview questions and answers,
- coal india Ltd interview questions and answers,
- colgate interview questions and answers,
- dabur india ltd interview questions and answers,
- divis labs interview questions and answers,
- dlf interview questions and answers,
- Dr. Reddys Labs interview questions and answers,
- eicher motors ltd interview questions and answers,
- gail (India) Ltd interview questions and answers,
- gland pharma ltd interview questions and answers,
- godrej consumer products ltd interview questions and answers,
- godrej properties interview questions and answers,
- grasim Industries ltd interview questions and answers,
- gujarat gas ltd interview questions and answers,
- havells india ltd interview questions and answers,
- hcf and lcm aptitude tricks,
- hcf and lcm problems,
- HCF and LCM Problems and Solutions for Bank Exams,
- hcf and lcm problems for competitive exams,
- HCF and LCM Questions and Answers With Explanation,
- HCF and LCM Questions Answers MCQ,
- hdfc life insurance company ltd interview questions and answers,
- hero motocorp interview questions and answers,
- hindalco industries ltd interview questions and answers,
- Hindustan Unilever Ltd interview questions and answers,
- hindustan zinc ltd interview questions and answers,
- ICICI Lombard interview questions and answers,
- icici prudential Life Insurance interview questions and answers,
- Indian Oil Corporation Ltd interview questions and answers,
- indus towers ltd interview questions and answers,
- indusind bank interview questions and answers,
- interglobe aviation interview questions and answers,
- jsw steel interview questions and answers,
- jubilant foodworks ltd interview questions and answers,
- kotak mahindra bank interview questions and answers,
- L&T Infotech interview questions and answers,
- larsen & toubro Ltd interview questions and answers,
- lcm and hcf formulas,
- lcm and hcf problems for bank po,
- lcm and hcf problems with solutions,
- lcm questions and answers,
- Lupin interview questions and answers,
- m&m interview questions and answers,
- MAptitude Questions and Answers,
- MAptitude Test,
- marico interview questions and answers,
- maruti suzuki interview questions and answers,
- motherson sumi systems interview questions and answers,
- muthoot finance hdfc amc interview questions and answers,
- Nestle interview questions and answers,
- nmdc ltd interview questions and answers,
- ntpc ltd interview questions and answers,
- Oil and Natural Gas Corporation (ONGC) interview questions and answers,
- pi industries ltd interview questions and answers,
- pidilite industries interview questions and answers,
- power grid corporation of India interview questions and answers,
- Problems on H.C.F and L.C.,
- Problems on H.C.F and L.C.M,
- Problems on LCM and HCF,
- Questions on HCF,
- ril partly paid interview questions and answers,
- sbi card interview questions and answers,
- sbi life insura interview questions and answers,
- shree cements ltd interview questions and answers,
- siemens interview questions and answers,
- srf limited interview questions and answers,
- state bank of India (SBI) interview questions and answers,
- Steel Authority of India Ltd (SAIL) interview questions and answers,
- sun pharma interview questions and answers,
- tata consumer products ltd interview questions and answers,
- tata motors interview questions and answers,
- tata steel interview questions and answers,
- titan company interview questions and answers,
- torrent pharma interview questions and answers,
- Typical problems on HCF and LCM,
- ultratech cement interview questions and answers,
- United Phosphorus Ltd (UPL) interview questions and answers,
- united spirits interview questions and answers,
- vedanta ltd interview questions and answers,
- zho interview questions and answers,
- zomato interview questions and answers