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Number System

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

108
109
107
106

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

109

Number System
If A + B = 30 and AB = 94, What is the value of A² + B² ?

824
625
712
920

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(A + B)² = (30)² = 900A² + B² + 2AB = 900Therefore, A² + B² = 900 - 2 x 94                                = 900 - 188 = 712

Number System
A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:

253
145
352
370

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the middle digit be x. Then, 2x = 10 or x = 5.So, the number is either 253 or 352. Since the number increases on reversing the digits, so the hundred's digit is smaller than the unit's digit. Hence, required number = 253.

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?

12
0
13
20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
93296 - 45874 + 20382 - 56817 = ?

109877
109857
109867
109887

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 113678 - 102691 = 109887

Number System
1051.64 - 159.42 - 96.84 + 162.37 - 940.26 + 504 = ?

511.49
501.49
521.49
491.49

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 1718.01 - 1196.52 = 521.49

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