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Number System

Number System
(1024—263—233)÷(986—764— 156) =?

None of these
10
8
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

8

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

289
289/290
290/289
1/289

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
In how many different ways can the letters of word "SENTENCE" be arranged ?

3360
3260
6460
2360

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number of ways = 8!/3! 2! = 40320/12 = 3360

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

12
10
8
16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The word TEST consists of 4 letters in which T comes twice ∴ Number of arrangements= 4!/2! = 4 x 3 x 2 x 1/2 x 1 = 12

Number System
The average of five consecutive even numbers A, B, C, D and E is 54. What is the product of'B' and 'E' ?

3016
2871
4098
1456

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Because, The even numbers are consecutive and their average is 54.∴ The number C will be 54.∴ A = 50, B = 52, D = 56, E = 58B x E = 52 x 58 = 3016

Number System
Supply the missing figure : 3, 11, 8, 16, 13 .... 18

18
12
28
21

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

21

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