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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)

88
54
64
75

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

64

Number System
Three numbers which are co-prime to one another are such that the product of the first two 551 and that of the last two is 1073. The sum of the three numbers is

93
85
110
74

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

85

Number System
The product of two consecutive odd numbers is 4095 What is the greater number ?

65
61
74
69

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the two consecutive odd numbers be 2x - 1 and 2x + 1.(2x - 1) (2x - 1) = 4095= 4x² - 1 = 4095= 4x² = 4096= x² = 1024∴ x = 32∴ The numbers are 63 and 65.Greater number = 65

Number System
1260 x 1.45 - 888 x 1.75 = ?

273
256
367
295

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 1260 x 1.45 - 888 x 1.75= 1827 - 1554 = 273

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

120
60
260
180

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
If the difference between the squares of two consecutive numbers is 47, what is the smaller number ?

23
26
25
24

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be (x + 1) and x.Therefore, (x + 1)² - x² = 47x² + 2x + 1 - x² = 472x + 1 = 47Therefore, x = 46/2 = 23

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