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Number System

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

210
204
222
234

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
How many numbers up to 100 are divisible by 7?

100
14
107
93

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

100/7 = 14 2/7 => 14 Numbers

Number System
The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. What is the smaller number?

295
240
360
270

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the smallest number be x.Then larger number = (x + 1365)x + 1365 = 6x + 15= 5x = 1350 x = 270Smaller number = 270.

Number System
A number exceeds by 25 from its 3/8 part. Then the number is?

35
32
40
39

ANSWER DOWNLOAD EXAMIANS APP

Number System
The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number ?

75
73
74
76

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + x + 1 + x + 2 + x + 3 + x + 4= 190= 5x + 10 = 190= 5x = 190 - 10 = 180= x = 180/5 = 36The largest number = 36 + 4 = 40∴ Required sum = 36 + 40 = 76

Number System
If x + y = 61 and xy = 888, What is the value of x²+ y² ?

1975
1965
1945
1955

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Because (x + y)²  = x² + y² + 2xy∴ x² + y² = (x + y)² - 2xy∴ x² + y² = (61)² - 2 x 888= 3721 - 1776 = 1945

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