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Number System

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

75
64
88
54

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

64

Number System
If the difference between a number and its three-fourth is 18, find the number.

72
61
57
68

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.According to the question,x - 3x/4 = 18= x/4 = 18= x = 4 x 18 = 72

Number System
The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers?

296
344
252
388

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the four numbers be x, x + 2, x + 4 and x + 6.=> x + x + 2 + x + 4 + x + 6 = 36=> 4x + 12 = 36 => x = 6The numbers are 6, 8, 10 and 12.Sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344.

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

10
8
16
12

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
A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 4 rows or 5 rows or 6 rows, then no tree will be left. Find the least

240
30
60
120

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The least number of trees that are required = LCM(4, 5, 6) = 60.

Number System
√9216 + √15376 = ?

227
220
224
231

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = √9216 + √15376= 96 + 124= 220

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