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Number System

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

61480
60480
62480
63480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
The sum of three consecutive numbers is 87. The greatest among these three number is:

28
29
30
26

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x, x + 1 and x + 2 Then,x + (x + 1) + (x + 2) = 873x = 84x = 28Greatest number, (x + 2) = 30.

Number System
The product of two successive numbers is 4556. Which of the following is the larger of the two numbers?

63
67
68
78

ANSWER DOWNLOAD EXAMIANS APP

Number System
The digit in unit's place of a three digit number is thrice the digit in ten's place & the digit in hundred's place is two-third of the digit in ten's place. If the sum of three digits of number is 14

215
239
211
221

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's digit be x.∴ Unit's digit = 3xHundered's digit = 2x/3∴ x + 3x + 2x/3 = 14= 3x + 9x + 2x = 14 x 3= 14x = 14 x 3= x = 3∴ Number = 239

Number System
If a number is multiplied by. three-fourth of itself, the value thus obtained is 10800. What is that number ?

260
120
180
60

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x x 3x/4 = 10800= x² = 10800 x 4/3 = 14400∴ x = √14400 = 120

Number System
The difference between a two-digit number and the number obtained by interchange the two digits of the number is 27. If the sum of the two digits of the number is 13, what is their product ?

38
39
37
40

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ 10x + y - (10y + x) = 27or 9x - 9y = 27∴ x - y = 3 .......(I)x + y = 13 .......(II)From eqn (I) and (II)x = 8 and y = 5.So the number = 85Therefore, product = 8 x 5 = 40

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