download Mastguru Android App

Question Detail

Find the least number which leaves a reminder of 3 when divided by 5, 6, 7 and 8, but leaves no reminder when divided by 9 ?

  • 1683
  • 1692
  • 1598
  • 1458

Answer: Option A

Explanation:

First of all, calculate LCM of 5, 6, 7 and 8 which is 840.
Suppose Number is K
then 840 * K + 3 is divisible by 9.
If K = 1, number = (840 × 1) + 3 = 843 which is not divisible by 9

If K = 2, number = (840 × 2) + 3 = 1683 which is divisible by 9

So 1683 is correct answer.

Similar Questions :

1. A shepherd had 27 sheep. All but 10 died. How many he left with ?

  • 10
  • 15
  • 17
  • 27

Answer: Option A

Explanation:

"All but 10 died" means all except 10 died, so he is remained with 10 sheep.

2. In a caravan, in addition to 50 hens, there are 45 goats and 8 camels with some keepers. If the total number of feet be 224 more than the number of heads in the caravan, the number of keepers is

  • 5
  • 8
  • 10
  • 15

Answer: Option D

Explanation:

Let the number of keepers be x.
Then, total number of feet = 2*50+4*45+4*8+2x
= 2x + 312

Total number of heads = 50+45+8+x = 103 + x
Now, (2x+312) = (103+x)+224
=> x = 15

3. In a group of 15 people, 7 read French, 8 read English while 3 of them read none of these two. How many of them read French and English both ?

  • 2
  • 3
  • 4
  • 5

Answer: Option B

4. The number of boys in a class is three times the number of girls. Which one of the following numbers cannot represent the total number of children in the class ?

  • 48
  • 44
  • 42
  • 40

Answer: Option C

Explanation:

Let number of girls = x and number of boys = 3x.

Then, 3x + x = 4x = total number of students.

Thus, to find exact value of x, the total number of students must be divisible by 4.

5. First bunch of bananas has (1/4) again as many bananas as a second bunch. If the second bunch has 3 bananas less than the first bunch, then the number of bananas in the first bunch are

  • 9
  • 10
  • 12
  • 15

Answer: Option D

Explanation:

Let the number of bananas in the second bunch be x.
Then, the number of bananas in the first bunch
= x + 1/4 x
= 5/4 x
So,
5/4 x - x = 3
=> 5x - 4x = 12
x = 12

Number of bananas in first bunch
= 5/4 * 12 = 15

Read more from - Arithmetic Reasoning Questions Answers
Post a comment

    Mastguru Youtube Channel

    Videos @mastguru

    Free useful videos - Subscribe Mastguru
     

    Get Free Current Affairs and Govt Jobs Alerts in your mailbox

    To Appreciate Our Effort, Please Like Us

    Quantitative Aptitude
    English Aptitude
    Reasoning Aptitude
    Computer Awareness
    General Knowledge
    Current Affairs
    IT Officer Aptitude
    Programming Aptitude
    Latest Govt Jobs