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Number System

Number System
The Twenty-First Century will start on January 1 in the year

2001
2000
2101
2100

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2001

Number System
What is the average of the following set of numbers ? 173, 192, 198, 204, 211, 223, 227

222
204
234
210

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Avg  = 173 + 192 + 198 + 204 + 211 + 223 + 227/7        = 1428/7        = 204

Number System
3251 + 587 + 369 - ? = 3007

1300
1200
1250
1375

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 4207 - x = 3007 Then, x = 4207 - 3007 = 1200

Number System
The digit in unit's place of a three digit number is thrice the digit in ten's place & the digit in hundred's place is two-third of the digit in ten's place. If the sum of three digits of number is 14

239
211
215
221

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's digit be x.∴ Unit's digit = 3xHundered's digit = 2x/3∴ x + 3x + 2x/3 = 14= 3x + 9x + 2x = 14 x 3= 14x = 14 x 3= x = 3∴ Number = 239

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
64
68
62

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
(3² x 4² x 5) ÷ 36 = (?)² - 80

14
10
12
16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(?)² = 3² x 4² x 5/36 + 80= 20 + 80 = 100∴ ? = √100 = 10

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