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Number System

Number System
If 2^(2x-1) = 8^(3-x), then the value of x is:

9
2
6
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2

Number System
What is the greater of the two numbers whose product is 2560, given that the sum of the two numbers exceeds their difference by 64?

110
None of these
100
90

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the greater and the smaller number be g and s respectively.gs = 2560g + s exceeds g - s by 64 i.e., g + s - (g - s) = 64i.e., 2s = 64 => s = 32.g = 2560/s = 80.

Number System
Sum of square of first number and cube of second number together is 568. Also square of the second number is 15 less than square of 8. What is the value of three-fifth of the first number ?

9
7
8
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the first number be x and the second number be y.∴ y² = 82 - 15 = 64 - 15 = 49∴ y = 7∴ x² + 73 = 568= x² + 343 = 568= x² + 568 - 343 = 225∴ x = √225 = 15∴ 15 x 3/5 = 9

Number System
The difference between a number and its three-fifth is 50. What is the number?

None of these
100
125
75

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x - 3/5 x = 50 => 2/5 x = 50x = (50 * 5)/2 = 125.

Number System
Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?

10, 5
12, 7
11, 6
12, 9

ANSWER DOWNLOAD EXAMIANS APP

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

5400
1800
2700
10800

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

900 * 3 * 3 = 8100

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