Arithmatical - Numbers

DIRECTIONS : Problems based on Numbers.
21. How many three-digit numbers are divisible by 6 in all?
  A.  149
  B.  150
  C.  151
  D.  166
Solution
Required numbers are 102,018,114,....996.
This is an A.P with a = 102,
d= 6.
Let the number of its terms be n. Then a+(n - 1)d
‹=›102+(n - 1)×6 = 996
‹=›n=150.
22. If A and b are both odd numbers which of the following is an even number?
  A.  a+b
  B.  a+b+1
  C.  ab
  D.  ab+2
Solution
Sum of two odd numbers is always even.

23. Which of the following is always odd?
  A.  Sum of two odd numbers
  B.  Diff. of two odd numbers
  C.  Prod. of two odd numbers
  D.  none of these
Solution
Product of two numbers is always odd.
24. 325325 is a six digit number.It is divisible by
  A.  7 only
  B.  11 only
  C.  13 only
  D.  all 7,11,and 13
Solution
Clearly,325325 is divisible by all 7,11,and 13.
25. The largest natural number which exactly divides the product of any four consecutive natural numbers is
  A.   6
  B.  12
  C.  24
  D.  120
Solution
Required numbers = 1×2×3×4
‹=›24.
1234 5678910

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