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Number System

Number System
What is the least number, which is perfect square but contains 2700 as its factor?

1800
5400
10800
2700

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

900 * 3 * 3 = 8100

Number System
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:

9
3
11
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's digit be x and unit's digit be y. Then, number 10x + y.Number obtained by interchanging the digits = 10y + x.(10x + y) + (10y + x) = 11(x + y)which is divisible by 11.

Number System
If (17)3 is subtracted from the square of a number, the answer so obtained is 2143. What is the number ?

81
84
82
83

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x² - (17*17*17)  = 2143or x² = 2143 + 4913 = 7056∴ x = 84

Number System
In how many different ways can the letters of the word "MOBILIZE" be arranged ?

17453
19765
20160
18456

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The word MOBILIZE has eight letters in which I comes twice ∴ Number of arrangements = 8!/2! = 20160

Number System
A number when, 28 subtracted from it reduces to its one third. What is the value of 50% of that number?

21
42
84
24

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2/3 x = 28 => x = 4242 * 1/2 = 21

Number System
The sum of three consecutive multiples of 3 is 72. What is the largest number?

21
27
24
36

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be 3x, 3x + 3 and 3x + 6.Then,3x + (3x + 3) + (3x + 6) = 729x = 63x = 7Largest number = 3x + 6 = 27.

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