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Number System

Number System
If the difference between a number and its three fifths is 62, what is the number ?

145
165
155
175

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x - 3x/5 = 62or x = 62 x 5/2 = 155

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

83
85
80
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
I. 3x2-14x + 8 = 0 II. 2y2 - 1 7 y + 36 = 0

if x <= y
if x < y
if x > y
if x >= y

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

l. 3x2 - 12x - 2x + 8 = 0or 3x(x - 4) -2 (x -4) = 0∴ x = 4, 2/3ll. 2y2 - 8y - 9y + 36 = 0or 2y (y - 4) -9 (y - 4) = 0or (2y - 9) (y - 4) = 0∴ y = 4, 9/2

Number System
The simplest form of 1.5 : 2.5 is :

17 : 19
13 : 11
5 : 7
3 : 5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3 : 5

Number System
The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?

35/8
12/35
1/35
7/32

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be a and b. Then,a + b = 12 and ab = 35.(a + b)/ab = 12/35= (1/b + 1/a) = 12/35Sum of reciprocals of given numbers = 12/35.

Number System
If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is:

12
28
180
160

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and y. Then, x + y = 20 and x - y = 8x2 - y2 = (x + y)(x - y) = 20 * 8 = 160.

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