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Number System

Number System
The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:

30
20
40
None of these

ANSWER DOWNLOAD EXAMIANS APP

Number System
When (21)² is subtracted from the square of a number the answer obtained is 1584. What is the number ?

35
55
45
65

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.According to the question,x² - (21)² = 1584= x² - 441 = 1584 = x² = 1584 + 441 = 2025∴ x = √2025 = 45

Number System
Which is the largest fraction among the following ?

12/13
24/25
21/23
21/22

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

21/23 = 0.913,12/13 = 0.92323/25 = 0.92, 21/22 = 0.9545, 24/25 = 0.96

Number System
3251 + 587 + 369 - ? = 3007

1300
1375
1250
1200

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 4207 - x = 3007 Then, x = 4207 - 3007 = 1200

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

660
556
515
720

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

In FRUGAL there ae six difference letters Therefore, 6 !                       = 6 x 5 x 4 x 3 x 2 x 1 = 720

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

16
10
12
14

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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