# A six – digit number is formed by repeating a three-digit number; for example, 256256 or 678678 etc. Any number of this form is always exactly divisible by

1.  7 only

2.  11 only

3.  13 only

4.  1001

4

1001

Explanation :
No Explanation available for this question

# The largest natural number which exactly divides the product of any four consecutive natural numbers is:

1.  6

2.  12

3.  24

4.  120

4

24

Explanation :
No Explanation available for this question

# The largest natural number by which the product of three consecutive even natural numbers is always divisible, is:

1.  16

2.  24

3.  48

4.  96

4

48

Explanation :
No Explanation available for this question

# The sum of three consecutive odd numbers is always divisible by ; I.2, II.3, III.5, IV.6

1.  Only I

2.  Only II

3.  Only I and III

4.  Only II and IV

4

Only II

Explanation :
No Explanation available for this question

# The difference between the squares of two consecutive odd integers is always divisible by:

1.  3

2.  6

3.  7

4.  8

4

8

Explanation :
No Explanation available for this question

# A number is multiplied by 11 and 11 is added to the product. If the resulting number is divisible by 13, the smallest original number is:

1.  12

2.  22

3.  26

4.  53

4

12

Explanation :
No Explanation available for this question

# The sum of the digits of a 3-digit number is subtracted from the number. The resulting number is:

1.  Divisible by 6

2.  Divisible by 9

3.  Divisible neither by 6 nor by 9

4.  Divisible by both 6 and 9

4

Divisible by 9

Explanation :
No Explanation available for this question

# If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the following will also be divisible by 11

1.  4x + 6y

2.  x + y + 4

3.  9 x + 4y

4.   4 x – 9y

4

4 x – 9y

Explanation :
No Explanation available for this question

# A 3-digit number 4a3 is added to another 3- digit number 984 to give the four-digit number 13b7, which is divisible by 11. Then, (a + b) is;

1.  10

2.  11

3.  12

4.  15

4

10

Explanation :
No Explanation available for this question

1.  1

2.  15

3.  30

4.  120

4