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Number System

Number System
Find the greatest number which leaves the same remainder when it divides 25, 57 and 105.

16
12
8
18

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

105 - 57 = 4857 - 25 = 32105 - 25 = 80The H.C.F of 32, 48 and 80 is 16.

Number System
64% of 2650+40% 0f 320=?

1247
1578
1824
2096

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1824

Number System
Ratio between two numbers is 3: 4 and their sum is 420. Find the smaller number?

240
180
160
140

ANSWER DOWNLOAD EXAMIANS APP

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

74
79
71
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

Number System
If the difference between the squares of two consecutive numbers is 47, what is the smaller number ?

25
26
24
23

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be (x + 1) and x.Therefore, (x + 1)² - x² = 47x² + 2x + 1 - x² = 472x + 1 = 47Therefore, x = 46/2 = 23

Number System
(4300731) - ? = 2535618

1865113
1675123
1775123
1765113

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 4300731 - x = 2535618Then, x = 4300731 - 2535618 = 1765113

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