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Number System

Number System
Three numbers are in ratio of 3: 4 :5. If the sum of first & third numbers is more than second number by 52, which will be largest number?

23
78
34
65

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

65

Number System
The cost of 87 pens and 29 pencils is `783. What is the cost of 90 pens and 30 pencils ?

Rs. 820
Rs. 810
Rs. 830
Rs. 800

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the price of a pen be 'x' and that of pencil be 'y' Then 87x + 29y = 783Multiplying eqn (i) by 30/29 we get (87x) x 30/29  + (29y) 30/29 = 783 x 30/29∴ 90x + 30y = 810

Number System
On dividing a number by 68, we get 269 as quotient and 0 as remainder. On dividing the same number by 67, what will be the remainder?

3
1
0
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number = 269 * 68 + 0 = 1829267) 18292 (273       18291         --------                1Required number = 1.

Number System
On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is:

10
13
11
12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Clearly, (2272 - 875) = 1397, is exactly divisible by N.Now. 1397 = 11 * 127The required 3-digit number is 127, the sum of whose digit is 10.

Number System
What should be the least number to be added to the 51234 number to make it divisible by 9?

5
3
6
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The least number to be added to the numbers to make them divisible by 9 is equal to the difference of the least multiple of 9 greater than the sum of the digits and sum of the digits.Sum of digits = 15.Nearest multiple of 9 greater than sum of digits = 18.Hence 3 has to be added.

Number System
What is the remainder when 263251 is divided by 9?

6
1
8
3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

If the sum of the digits of a number is divisible by 9, the number will be divisible by 9.2 + 6 + 3 + 2 + 5 + 1 = 19The nearest multiple of 9 is 18.19 - 18 = 1.

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