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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
What is the least number, which is perfect square but contains 2700 as its factor?

10800
1800
5400
2700

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900 * 3 * 3 = 8100

Number System
1256+4813+765=?

6831
6839
6834
6836

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1256+4813+765= 6069+765=6834

Number System
4550 ÷ 25% of ? = 130

140
125
135
130

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4550 ÷ ? x 25/100 = 130= 4550 ÷ ?/4 = 130= 4550 x 4/? = 130= ? x 130 = 4550 x 4= ? = 4550 x 4/130 = 140

Number System
If the numerator of a fraction is decreased by 12.5% and the denominator is increased by 180% the resultant fraction is 1/2. What is the original fraction ?

7/5
3/5
1/5
8/5

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Let the original fraction be x/y.∴ x x 87.5/100/y x 280/100 = 1/2or 87.5x/280y = 1/2∴ 175x = 280y∴ x/y = 280/175        = 8/5

Number System
4.78% of 1255 + 3.24% of 440=0.5% of ?

12849
14849
11849
13849

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.5 x ?/100 = 4.78 x 1255/100 + 3.24 x 440/100= 59.989 + 14.256∴ ? = 74.245 x 100/0.5 = 14849

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