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Number System

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

61480
63480
62480
60480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

No. of arrangements = 9! / 3! Because, E comes 3 times = 60480

Number System
The Twenty-First Century will start on January 1 in the year

2001
2101
2000
2100

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2001

Number System
Find the nearest to 25268 which is exactly divisible by 467?

25208
25308
25228
25218

ANSWER DOWNLOAD EXAMIANS APP

Number System
A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17?

10
11
9
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

221 + 43 = 264/17 = 9 (Remainder)

Number System
The difference between 8% of a number and 3% of the same number is 39. What is 2.8% of that number ?

21.84
24.84
27.84
25.84

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x(8 - 3)% = 39x = 3900/5 = 780∴ 2.8% of 780= 780 x 2.8/100 = 21.84

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

1965
1945
1975
1955

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

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