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Number System

Number System
√(17)² + (17)² + (5)² - 2 = ?

18
16
19
17

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = √49 + 289 + 25 - 2 = √361 = 19

Number System
What is the difference between the largest number and the least number written with the digits 7, 3, 1, 4?

6084
6048
5084
6184

ANSWER DOWNLOAD EXAMIANS APP

Number System
In a two-digit number, the digit in unit's place is two more than three times the digit in ten's place. If the sum of the two digits is 10, what is the number ?

24
28
22
18

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ y = 3x + 2 .......(i)And, x + y = 10 ......(ii)From (i) and (ii), x = 2, y = 8∴ Number = 28

Number System
A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13?

11
7
0
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

39 + 20 = 59/13 = 7 (Remainder)

Number System
The cost of 87 pens and 29 pencils is `783. What is the cost of 90 pens and 30 pencils ?

Rs. 800
Rs. 830
Rs. 810
Rs. 820

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the price of a pen be 'x' and that of pencil be 'y' Then 87x + 29y = 783Multiplying eqn (i) by 30/29 we get (87x) x 30/29  + (29y) 30/29 = 783 x 30/29∴ 90x + 30y = 810

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

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