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Number System

Number System
If 5/7 of a number is 145, what is 180% of that number ?

375.4
365.4
345.4
355.4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x x 5/7 = 145∴ x = 145 x 7/5 = 203Now, 203 x 180/100 = 365.4

Number System
If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is:

88
80
44
40

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and y. Then, (x + y) = 22 and x2 + y2 = 404 Now, 2xy = (x + y)2 - (x2 + y2) 2xy= 222 - 404 = 484 - 404 = 80xy = 40

Number System
If the sum of one-half of a number exceeds one-third of that number by 7 1/3, the number is:

30
20
18
15

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,(1/2 x + 1/5 x) - 1/3 x = 22/311/30 x = 22/3x = 20

Number System
Find the least value of 3x + 4y if x2y3 = 6.

7
6
3
10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

10

Number System
Three numbers which are co-prime to one another are such that the product of the first two 551 and that of the last two is 1073. The sum of the three numbers is

110
74
93
85

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

85

Number System
The product of two consecutive position odd numbers is 6723. What is the smaller number?

71
79
74
83

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

n x (n + 2) = 6723= n² + 2n - 6723 = 0= n² + 83n - 81n - 6723 = 0= n(n + 83) - 81 (n + 83) = 0Therefore, (n - 81) (n + 83) = 0Therefore, n = 81, n + 2 = 83

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