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Number System

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

108
107
106
109

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

109

Number System
What value should come in place of ? in the given number series ? 15, 51, 162, 498, 1509, ?

5656
4545
7878
3434

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

15, (15 + 2) x 3 = 51,(51 + 3) x 3 = 162, (162 + 4) x 3 = 498, (498 + 5) x 3 = 1509(1509 + 6) x 3 = 4545

Number System
Which one of the following represents the sum of the first n even numbers?

N(N + 1)
N2+ 1
N(N – 1)
N2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

N (N + 1)

Number System
If the difference between a number and its 2/5 is 240, find the number.

360
480
440
400

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be x Therefore x - 2x/5 = 240,        Therefore, 3x/5 = 240Therefore, x = 240x5/3 = 400

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

219
207
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
What is the sum of all even numbers from 1 to 701?

122500
122850
123850
122550

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

700/2 = 350350 * 351 = 122850

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