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Number System

Number System
What is the sum of the local values of the digits 2, 3, 4, 5 in the number 2345?

2345
2435
2105
5243

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2000 + 300 + 40 + 5 = 2345

Number System
If the of a two-digit number are interchanged, the number so obtained is greater than the original number by 18. If the sum of the two digits of the number is 14. What is the original number ?

66
68
62
64

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be 10x + y.No. formed by the interchange of digits = 10y + xWe have y - x = 2 .........(i)y + x = 14            .........(ii)Solving (i) and (ii), we get x = 6, and y = 8∴ the no. is 68.

Number System
The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?

7
11
5
3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7

Number System
74698 + 365 + 85213 + 95 = ?

160341
160371
160351
160361

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 74698 + 365 + 85213 + 95 = 160371

Number System
5358 * 51 = ?

273268
273258
273358
273348

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

5358 * 51 = 5358 * (50 + 1) = 5358 * 50 + 5358 * 1= 267900 + 5358 = 273258

Number System
If (182)² is added to the square of a number, the answer so obtained is 47765. What is the number ?

111
131
101
121

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be xTherefore x² + (182)² = 47765Therefore x² = 47765 - (182)2                        = 47765 - 33124Therefore x² = 14641,                Therefore x = 121

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