Aptitude - Numbers

Exercise : Numbers - General Questions
66.
Which of the following numbers is divisible by each one of 3, 7, 9 and 11 ?
639
2079
3791
37911
None of these
Answer: Option
Explanation:

639 is not divisible by 7

2079 is divisible by each of 3, 7, 9, 11.


67.
Which natural number is nearest to 9217, which is completely divisible by 88 ?
9152
9240
9064
9184
None of these
Answer: Option
Explanation:
On dividing we get, 

 88) 9217 (104
     88
     ----
      417
      352
      ----
       65
      ----
  
 Therefore, Required number = 9217 + (88 - 65) // Because (88 - 65) < 65.
                            = 9217 + 23
                            = 9240.      

68.
(4300731) - ? = 2535618
1865113
1775123
1765113
1675123
None of these
Answer: Option
Explanation:

Let 4300731 - x = 2535618

Then x, = 4300731 - 2535618 = 1765113


69.
n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4 ?
3
2
1
0
Answer: Option
Explanation:

Let n = 4q + 3. Then 2n = 8q + 6   = 4(2q + 1 ) + 2.

Thus, when 2n is divided by 4, the remainder is 2.


70.
(489 + 375)2 - (489 - 375)2 = ?
(489 x 375)
144
864
2
4
None of these
Answer: Option
Explanation:
Given Exp. = (a + b)2 - (a - b)2 = 4ab = 4
ab ab