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Number System

Number System
What is the average of the following set of numbers ? 173, 192, 198, 204, 211, 223, 227

234
210
222
204

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Avg  = 173 + 192 + 198 + 204 + 211 + 223 + 227/7        = 1428/7        = 204

Number System
The sum of the numbers is 264. If the first number be twice the second and third number be one-third of the first, then the second number is:

54
72
48
84

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the second number be x. Then, first number = 2x and third number = 2x/3.2x + x + 2x/3 = 26411x/3 = 264x = 72

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

63480
60480
62480
61480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
Find the average of the following set of scores 450, 1050, 12, 390, 143, 286, 550, 999

480
490
495
485

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required average score                    = (450 + 1050 + 12 + 390 + 143 + 286 + 550 + 999) / 8                   = 3880 / 8                   = 485

Number System
The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is:

289
289/290
1/289
290/289

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be a and b. Then,ab = 17, a = 1 and b = 17So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2 = (12 + 172)/(1 * 17)2 = 290/289

Number System
Pick the wrong number from the given number series. 3,4,10,33,135,685,4116

10
135
33
685

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The correct number is 136.3 x 1 + 1 = 44 x 2 + 2 = 1010 x 3 + 3 = 3333 x 4 + 4 = 136136 x 5 + 5 = 685685 x 6 + 6 = 4116

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