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Number System

Number System
106 * 106 - 94 * 94 = ?

2000
2400
1904
1906

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 ?

73
76
75
74

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 ?

1965
1975
1955
1945

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

Number System
4.78% of 1255 + 3.24% of 440=0.5% of ?

11849
12849
13849
14849

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.5 x ?/100 = 4.78 x 1255/100 + 3.24 x 440/100= 59.989 + 14.256∴ ? = 74.245 x 100/0.5 = 14849

Number System
The difference between 78% of a number and 59% of the same number is 323. What is 62% of that number ?

Rs. 1054
Rs. 926
Rs. 945
Rs. 986

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.78% of x - 59% of x = 323= 78x - 59x/100 = 323= 19x/100 = 323∴ x = 323 x 100/19 = 1700= 62% of 1700 = 1700 x 62/100 = 1054

Number System
If (74)² is added to the square of a number the answer so obtained is 7780. What is the number ?

47
49
50
48

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.or, x² + (74)² = 7780or, x² = 7780 - 5476 = 2304∴ x = 48

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