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Number System

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
A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 4 rows or 5 rows or 6 rows, then no tree will be left. Find the least

30
120
60
240

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The least number of trees that are required = LCM(4, 5, 6) = 60.

Number System
3√103820 x 3√274620 = ?

3035
3065
3055
3045

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3√103820 = 47 and 3√274620 = 65 ∴ ? = 47 x 65 = 3055

Number System
By how much is 3/5th of 875 greater than 2/3 of 333?

362
233
303
199

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3/5th of 875 is greater than 2/3rd of 333= 3/5 * 875 - 2/3 * 333= 525 - 222 = 303.

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

65
74
61
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
7.8% of 12.5 + 2.5% of 161 = ?

9
5
12
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

7.8 x 12.5/100 + 2.5 x 161/100= 0.975 + 4.025= 5

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