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NUMBER SYSTEM

Number System
The product of two consecutive odd numbers is 4095 What is the greater number ?

61
65
74
69

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the two consecutive odd numbers be 2x - 1 and 2x + 1.(2x - 1) (2x - 1) = 4095= 4x² - 1 = 4095= 4x² = 4096= x² = 1024∴ x = 32∴ The numbers are 63 and 65.Greater number = 65

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

Rs. 926
Rs. 1054
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
What should come in place of the question mark (?) in the given number series ? 888, 888, 444, 148, ?, 7.4

38
37
39
36

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let x be the missing number.Then888/888 = 1,888/444 = 2,444/148 = 3,148/x = 4= x = 148/4 = 37  and 37/7.4 = 5

Number System
The product of two consecutive odd numbers is 6723. Find is the greater number.

80
83
85
77

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the first odd number be x.Then, the other odd number would be x + 2.∴ x(x+2) = 6723= x2 + 2x = 6723= x2 + 2x = 6723= x2 + 2x - 6723 = 0= x2 + 83 - 81 x - 6723 = 0= x(x+83) - 81 (x + 83) = 0= (x + 83) (x - 81) = 0= (x + 83) (x - 81) = 0= x - 81 = 0∴ x = 81Hence, greater number = x + 2 = 81 + 2 = 83

Number System
If the numerator of a fraction is increased by 200% and the denominator by 300%, the fraction thus obtained is 1/36. What is the original fractions ?

3/9
4/9
5/9
6/9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the fractions be x/yx + 200% of x/y + 300% of y = 1/3= x + 2x/y + 3y = 1/3= 3x/4y = 1/3Hence x/y = 4/9

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