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Number System

Number System
What is the sum of 1 + 2 + 3+ ... + 27 ?

378
396
343
382

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Sum = 27 x (27 + 1)/2= 27 x 28/2= 27 x 14= 378

Number System
If a + b = 16 and ab = 68, what is the value of a² + b² ?

112
120
116
124

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a + b = 16 Therefore, (a+b)² = (16)² = 256                    a² + b² + 2ab = 256Therefore,        a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120

Number System
Find the least value of 3x + 4y if x2y3 = 6.

3
7
10
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

10

Number System
16.23 x 12.9 + 17.32 = ?

None of these
236.687
246.687
226.687

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 16.23 x 12.9 + 17.32= 209.367 + 17.32= 226.687

Number System
Find the least number which when divided by 35 and 11 leaves a remainder of 1 in each case.

384
388
386
391

ANSWER DOWNLOAD EXAMIANS APP

Number System
If R2 = S3 = K, where R, S and K are integers. Find the smallest positive integral value of K. (Greater than 1)

88
64
75
54

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

64

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