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Number System

Number System
What should come in place of question mark (?)? 8 : 1 1 : : 72:

89
109
99
79

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let ? = xTherefore 8 : 11 : 72 : xTherefore x = (11 x 72) / 8 = 99

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 average of 7 consecutive even numbers A, B, C, D, E, F and G is 36. What is the product of ' C and 'E' ?

1168
1292
1468
1327

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

A + B + C + D + E + F + G/7 = 36Therefore, D = 36Therefore, C = 34,                             E = 38Therefore, Product = 34 x 38 = 1292

Number System
If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is:

88
44
80
40

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and y. Then, (x + y) = 22 and x2 + y2 = 404 Now, 2xy = (x + y)2 - (x2 + y2) 2xy= 222 - 404 = 484 - 404 = 80xy = 40

Number System
The difference between a two-digit number and the number obtained by interchange the two digits of the number is 27. If the sum of the two digits of the number is 13, what is their product ?

37
40
39
38

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ 10x + y - (10y + x) = 27or 9x - 9y = 27∴ x - y = 3 .......(I)x + y = 13 .......(II)From eqn (I) and (II)x = 8 and y = 5.So the number = 85Therefore, product = 8 x 5 = 40

Number System
Which one of the following numbers is exactly divisible by 11?

415624
315624
245642
235641

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(4 + 5 + 2) - (1 + 6 + 3) = 1, not divisible by 11.(2 + 6 + 4) - (4 + 5 + 2) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 3) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 4) = 0. So, 415624 is divisible by 11.

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