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Number System

Number System
3√103823 = ?

47
52
44
41

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 3√103823 = 3√47 x 47 x 47 = 47

Number System
Sum of square of first number and cube of second number together is 568. Also square of the second number is 15 less than square of 8. What is the value of three-fifth of the first number ?

9
8
6
7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the first number be x and the second number be y.∴ y² = 82 - 15 = 64 - 15 = 49∴ y = 7∴ x² + 73 = 568= x² + 343 = 568= x² + 568 - 343 = 225∴ x = √225 = 15∴ 15 x 3/5 = 9

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 sum of three consecutive even numbers is 252. What is the sum of the smallest and the largest numbers?

168
171
170
169

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

168

Number System
The average of 7 numbers is 15, that of the first three is 6 and that of the last three is 23. What is the fourth number?

18
15
7
13

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

4th No. = (Total of 7 Nos) - (Total of first three + total of last 3)             = (15 x 7) - (6 x 3 + 23 x 3)             = 105 - (18 + 69)             =105 - 87             = 18

Number System
The sum of three consecutive numbers is 87. The greatest among these three number is:

28
29
26
30

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x, x + 1 and x + 2 Then,x + (x + 1) + (x + 2) = 873x = 84x = 28Greatest number, (x + 2) = 30.

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