Aptitude - Numbers

Exercise : Numbers - General Questions
41.
On dividing a number by 357, we get 39 as remainder. On dividing the same number 17, what will be the remainder ?
0
3
5
11
Answer: Option
Explanation:

Let x be the number and y be the quotient. Then,

x = 357 x y + 39

  = (17 x 21 x y) + (17 x 2) + 5

  = 17 x (21y + 2) + 5)

Required remainder = 5.


42.
If the product 4864 x 9 P 2 is divisible by 12, then the value of P is:
2
5
6
8
None of these
Answer: Option
Explanation:

Clearly, 4864 is divisible by 4.

So, 9P2 must be divisible by 3. So, (9 + P + 2) must be divisible by 3.

P = 1.


43.
Which one of the following is the common factor of (4743 + 4343) and (4747 + 4347) ?
(47 - 43)
(47 + 43)
(4743 + 4343)
None of these
Answer: Option
Explanation:

When n is odd, (xn + an) is always divisible by (x + a).

Each one of (4743 + 4343) and (4747 + 4347) is divisible by (47 + 43).


44.
-84 x 29 + 365 = ?
2436
2801
-2801
-2071
None of these
Answer: Option
Explanation:
Given Exp. = -84 x (30 - 1) + 365
= -(84 x 30) + 84 + 365
= -2520 + 449
= -2071

45.
A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder will be:
1
2
8
11
Answer: Option
Explanation:

Let x = 296q + 75

   = (37 x 8q + 37 x 2) + 1

   = 37 (8q + 2) + 1

Thus, when the number is divided by 37, the remainder is 1.