What is the smallest whole number that, when divided by 2,
leaves a remainder of 1; when divided by 3, leaves a
remainder of 2; and so on, up to leaving a remainder of 9
when divided by 10?




Answers were Sorted based on User's Feedback



What is the smallest whole number that, when divided by 2, leaves a remainder of 1; when divided b..

Answer / raghu

2519

Is This Answer Correct ?    70 Yes 8 No

What is the smallest whole number that, when divided by 2, leaves a remainder of 1; when divided b..

Answer / anil

Ans. is 2519.

we have to multiply all numbers from 2-10 keeping aside
common number.

i.e.
2*3*4*5*7*3 = 2520
6 is left b'coz 2*3 is 6
9 = 3*3 hence, 3 is taken twice.

At last 2520-1.

Is This Answer Correct ?    29 Yes 10 No

What is the smallest whole number that, when divided by 2, leaves a remainder of 1; when divided b..

Answer / guest

smallest number is L.C.M(2,3,4,5,6,7,8,9,10)-1

Is This Answer Correct ?    16 Yes 6 No




What is the smallest whole number that, when divided by 2, leaves a remainder of 1; when divided b..

Answer / sudhanshu_kmr

According to the question when the number is divided by 2,3,..10 leaves remainder 1,2,...9 respectively. It means that if we increase the that number by 1 then it is divisible by each of the numbers 2,3,..10.

So, find a number that is common divisor of 2,3,4,...and 10.
And subtract 1 from it.

LCM of 2,3,..10 is 2520.
2520-1 = 2519

thus, 2519 is the required number.......

Is This Answer Correct ?    11 Yes 2 No

What is the smallest whole number that, when divided by 2, leaves a remainder of 1; when divided b..

Answer / anil

2519

The ans is correct but still searching how to arrive at ans.

Is This Answer Correct ?    12 Yes 7 No

What is the smallest whole number that, when divided by 2, leaves a remainder of 1; when divided b..

Answer / ramesh kumar

2519/10=251 @ 9
2519/9=279 @ 8
/8=312 @ 7
/7=358 @ 6
/6=419 @ 5
/5=503 @ 4
/4=629 @ 3
/3=839 @ 2
/2=1259 @ 1

so that the answer should be 2519

Is This Answer Correct ?    9 Yes 4 No

What is the smallest whole number that, when divided by 2, leaves a remainder of 1; when divided b..

Answer / nazeera jaffar

First take LCM of 2,3,4,...upto 10
The answer is 2520.
Now when the number is divided and the results are compared with each other,it leaves 1 in each case.


So at last 2520-1=2519 is the answer.

Is This Answer Correct ?    3 Yes 2 No

What is the smallest whole number that, when divided by 2, leaves a remainder of 1; when divided b..

Answer / karthika

19

Is This Answer Correct ?    1 Yes 3 No

What is the smallest whole number that, when divided by 2, leaves a remainder of 1; when divided b..

Answer / lakshmi

479

Is This Answer Correct ?    0 Yes 2 No

What is the smallest whole number that, when divided by 2, leaves a remainder of 1; when divided b..

Answer / tinulin

29

Is This Answer Correct ?    0 Yes 2 No

Post New Answer



More Puzzles Interview Questions

At the Party: 1. There were 9 men and children. 2. There were 2 more women than children. 3. The number of different man-woman couples possible was 24. Note that if there were 7 men and 5 women, then there would have been 35 man-woman couples possible. Also, of the three groups - men, women and children - at the party: 4. There were 4 of one group. 5. There were 6 of one group. 6. There were 8 of one group. Exactly one of the above 6 statements is false. Can you tell which one is false? Also, how many men, women and children are there at the party?

2 Answers  


There is a grid of 20 squares by 10 squares. How many different rectangles are possible? Note that square is a rectangle.

1 Answers  


Find out all possible groups of three different numbers that add up to 13 and arrange them according to given condition. If one number is 9, it must go with 1 and 3. If one number is 8, it must go with either 1 and 4 or 2 and 3. If one number is 7, it must go with either 1 and 5 or 2 and 4. If one number is 6, it must go with either 2 and 5 or 3 and 4.

2 Answers   HCL,


All of the tickets for 2 music concerts, X and Y, were either purchased or given away, and the ratio of X tickets to Y was 2 to 1. Of the total number of X tickets and Y tickets, what percentage was purchased? 1) The total number of X tickets and Y tickets, is 240. 2) Of the X tickets, exactly 60% were purchased, and of the Y tickets, exactly 80% were purchased. a) if statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question. b) if statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question. c) if BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient. d) if EACH statement ALONE is sufficient to answer the question asked. e) if statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

4 Answers   Microsoft,


The secret agent X emailed some code to his head office. They are "RADAR, LEVEL, ROTOR, REDIVIDER, MOTOR". But four of these five words have something in common and one is fake. Can you tell which one is fake? Ignore the fact that four of the code-words are of the same length.

4 Answers  






The son of a rich bullion merchant left home on the death of his father. All he had with him was a gold chain that consisted of 138 links. He rented a place in the city center with a shop at the lower level and an apartment at the upper level. He was required to pay every week one link of the gold chain as rent for the place. The landlady told him that she wanted one link of the gold chain at the end of one week, two gold links at the end of two weeks, three gold links at the end of three weeks and so on. The son realized that he had to cut the links of the gold chain to pay the weekly rent. If the son wished to rent the place for 138 weeks, what would be the minimum number of links he would need to cut?

0 Answers   Zoho,


two father and two son went to a hotel, each paid rs-5 but still total amount was rs-15, how?

2 Answers   Deeanne London,


0,2,4,8,14,24,34,...can ypu solve this series?

8 Answers  


There are 25 horses and only five tracks in a race. How do you find the second coming horse of all the 25 horses, provided there is no stop clock? (obviously, a horse cannot participate more than once in a race).

28 Answers   Citrix, Oracle, Global Analytics, Microsoft, Synopsis, Juniper Networks, Athena Health Care, Amazon, Bloomberg, Dreamz Group, UC Berkeley,


A fly is flying between two trains, each travelling towards each other on the same track at 60 km/h. The fly reaches one engine, reverses itself immediately, and flies back to the other engine, repeating the process each time. The fly is flying at 90 km/h. If the fly flies 180 km before the trains meet, how far apart were the trains initially?

3 Answers  


why should we hire the others waiting to be interviewed?

0 Answers   Qatar Airlines,


X is a five letter word.X is a talent in u.if u remove 1st letter X is dead. if u remove 1st 2 letters x is sick.what is X?

11 Answers  






Categories