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Number System

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

61480
62480
60480
63480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
The sum of three consecutive multiples of 3 is 72. What is the largest number?

24
36
27
21

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be 3x, 3x + 3 and 3x + 6.Then,3x + (3x + 3) + (3x + 6) = 729x = 63x = 7Largest number = 3x + 6 = 27.

Number System
The difference between 71% of a number and 46% and of the same number is 212. What is 75% of that number

724
673
845
636

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ 71% of x - 46% of x = 212∴ (71 - 46)% of x = 212∴ 25/100 x x = 212∴ x = 212 x 4 = 848∴ 75% of 848 = 848 x 75/100  = 636

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 ?

8
6
7
9

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
666 / 6 / 3 = ?

333
37
111
84

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

666 * 1/6 * 1/3 = 37

Number System
Twenty times a positive integer is less than its square by 96. What is the integer?

Cannot be determined
24
20
30

ANSWER DOWNLOAD EXAMIANS APP
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