Hint:
Here, we will first find the least common multiple, which is the smallest positive number that is a multiple of two or more numbers. We will find the remainder just by subtracting the given numbers from the divisors. Then we will subtract the remainder left by dividing the given divisor from the obtained L.C.M. to find the required value.Complete step by step solution:
Given that the numbers are 20, 25, 35 and 40.
We know that the least common multiple L.C.M. is the smallest positive number that is a multiple of two or more numbers.
We will now find the least common multiple of the given numbers, 20, 25, 35 and 40.
We will find the product of the above multiplies to find the least common multiple.
\[
{\text{L.C.M}} = 2 \times 2 \times 2 \times 5 \times 5 \times 7 \\
= 1400 \\
\]
Since each of the given numbers are greater than the divisors by small difference, so we can find the remainder just by subtracting the given numbers from the divisors.
Subtracting the number 14 from 20 to find the remainder, we get
\[20 - 14 = 6\]
Subtracting the number 19 from 25 to find the remainder, we get
\[25 - 19 = 6\]
Subtracting the number 29 from 35 to find the remainder, we get
\[35 - 29 = 6\]
Subtracting the number 34 from 40 to find the remainder, we get
\[40 - 34 = 6\]
Since we get 6 from all of the above differences, we will now find the required number.
Subtracting the number 6 from the obtained least common multiple, we get
\[
\Rightarrow 1400 - 6 \\
\Rightarrow 1394 \\
\]
Therefore, the smallest number which when divided by 20, 25, 35 and 40 and leaves a remainder of 14, 19, 29 and 34 respectively is 1394.Hence, option A is correct. Note:
Whenever such type of question comers try to find the common factor by calculating the L.C.M. after that we will calculate the remainder to find the smallest number which when divided by given number leaves the remainders 14, 19, 29 and34 respectively.
The smallest number which when divided by 4, 6 or 7 leaves a remainder of 2, is Answer Smallest number will be LCM (4,6,7) + 2. LCM of 4, 6 and 7 is 84. So, the smallest number leaving remainder 2 will be 86. The correct option is A. What is the smallest number that leaves a remainder of 2 when divided by 3, 4, 5, and 6 ?Answer : C. 62 Total 0 Shares 0 0 0 0 What is the smallest number that leaves a remainder of 2 when divided by 3, 4, 5, and 6 ? A. 56 B. 128 C. 62 D. 32 Answer : C. 62Explanation:Take the lcm of 3 , 4 , 5 , 6.
3 = 3×1
4 = 2×2
5 = 5×1
6 = 2×3
LCM = 2 × 2 × 3 × 5 = 60
Therefore 60 is the number that is completely divisible by these numbers. But we have to find the smallest number that leaves remainder 2.
Answer : 60 + 2 = 62 Related Tags- 9 and 11 the remainder must be 1,
- 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,
- 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,
- CTS Placement Papers,
- 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,
- find lcm,
- find the smallest number that leaves remainder 2,
- find the smallest number which on dividing by 6 8 12 leaves the remainder 4 6 10 respectively,
- find the smallest number which when divided by 4 leaves the remainder 3,
- 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 problems,
- hcf and lcm questions,
- hcf and lcm word problems,
- hcf and lcm word problems worksheets,
- hcf and lcm worksheet,
- hcf and lcm worksheets,
- 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 formula,
- lcm math,
- lcm method,
- lcm questions,
- Lupin interview questions and answers,
- m&m interview questions and answers,
- 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,
- ril partly paid interview questions and answers,
- Sapient Nitro Placement Questions,
- 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,
- 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,
- what is the number when divided by 7,
- What is the smallest number that leaves a remainder of 2 when divided by 3,
- what is the smallest number which when divided by 7 8 9 leaves a remainder of 2 4 6 respectively,
- what is the smallest positive number that leaves a remainder of 2 when divided by 3 4 and 5,
- what number divided by 2 3 4 5 6 has a remainder of 1,
- when a number is divided by 6 the remainder is 5,
- Wipro Interview Questions and Answers | Wipro Aptitude Questions and Answers for Freshers,
- Zoho C Aptitude Questions with Answers,
- zomato interview questions and answers
Leave a ReplyYour email address will not be published. Required fields are marked * Comment * Name Email Website View Comments (0)
What is the smallest number which has a remainder of 2?
Hence the answer is 62.
What is the smallest positive integer that leaves a remainder of 2 when it is divided by 3 4 or 5?
∴ 60 is the number least number which when divided by 3,4 and 5 leaves remainder 2 each case.
What leaves a remainder of 1?
Note that the answer must be an odd number, since when divided by 2 it leaves a remainder of 1. So 3, 5, 7, 9, 11, etc.
What is the smallest number that can be divided by 2?
Final answer:
The smallest number is zero (0) that can be divided by two or more numbers without leaving any remainder.
|
