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Number System

Number System
If the difference between a number and its three fifths is 62, what is the number ?

145
165
175
155

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x - 3x/5 = 62or x = 62 x 5/2 = 155

Number System
The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. What is the smaller number?

295
360
240
270

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the smallest number be x.Then larger number = (x + 1365)x + 1365 = 6x + 15= 5x = 1350 x = 270Smaller number = 270.

Number System
Find the smallest number which when divided by 13 and 16 leaves respective remainders of 2 and 5.

207
219
197
187

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 'N' is the smallest number which divided by 13 and 16 leaves respective remainders of 2 and 5.Required number = (LCM of 13 and 16) - (common difference of divisors and remainders) = (208) - (11) = 197.

Number System
In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient?

0
12
20
13

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number = (12 * 35) = 420Correct quotient = 420/21 = 20

Number System
On converting the following base-2 numeral in base ten, 1101101, we get

107
108
106
109

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

109

Number System
{3√4913}² = ?

225
289
333
121

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = (3√4913)² = (17)² = 289

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