Exercise: Numbers

Questions for: Numbers

(489 + 375)2 - (489 - 375)2 = ?
(489 x 375)
A:
144
B:
864
C:
2
D:
4
Answer: D
Given Exp. = (a + b)2 - (a - b)2 = 4ab = 4
ab ab
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 ?
A:
3
B:
2
C:
1
D:
0
Answer: B

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

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

(4300731) - ? = 2535618
A:
1865113
B:
1775123
C:
1765113
D:
1675123
Answer: C

Let 4300731 - x = 2535618

Then x, = 4300731 - 2535618 = 1765113

Which natural number is nearest to 9217, which is completely divisible by 88 ?
A:
9152
B:
9240
C:
9064
D:
9184
Answer: B
On dividing we get, 

 88) 9217 (104
     88
     ----
      417
      352
      ----
       65
      ----
  
 Therefore, Required number = 9217 + (88 - 65) // Because (88 - 65) < 65.
                            = 9217 + 23
                            = 9240.      
Which of the following numbers is divisible by each one of 3, 7, 9 and 11 ?
A:
639
B:
2079
C:
3791
D:
37911
Answer: B

639 is not divisible by 7

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

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