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Number System

Number System
(800 / 64) * (1296 / 36) = ?

500
420
None of these
460

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Exp.= 800/64 * 1296/36 = 12.5 * 36 = 450

Number System
The sum of the digits of a two-digit number is 12, and the difference between the number and the number obtained by interchanging the two digits of the number is 18. Find the number.

75
50
12.5
25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ x + y = 12    ...........(i)10x + y - (10x + x) = 18or 10x + y - 10y - x = 18or 9x - 9y = 18∴ x - y = 2From (i) and (ii), x = 7, y = 5∴ Number = 75

Number System
If x + y = 61 and xy = 888, What is the value of x²+ y² ?

1975
1955
1945
1965

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Because (x + y)²  = x² + y² + 2xy∴ x² + y² = (x + y)² - 2xy∴ x² + y² = (61)² - 2 x 888= 3721 - 1776 = 1945

Number System
Look at this series: 1000, 200, 40, ... What number should come next?

14
24
8
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

This is a simple division series. Each number is divided by 5. Rule = (1st number / 5 = 2nd number) (2nd number / 5 = 3rd number)....Now, (1000 / 5 = 200), (200 / 5 = 40), (40 / 5 = 8)...So answer is a = 8.

Number System
In how many different ways can the letters of the word ANATOMY be arranged ?

2508
2504
2510
2520

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Here total letters are 7 but A comes twice.Therefore, Numbers of arrangements = 7!/2! = 2520

Number System
(3² x 4² x 5) ÷ 36 = (?)² - 80

10
12
16
14

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(?)² = 3² x 4² x 5/36 + 80= 20 + 80 = 100∴ ? = √100 = 10

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