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Number System

Number System
If the sum of one-half of a number exceeds one-third of that number by 7 1/3, the number is:

20
30
18
15

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,(1/2 x + 1/5 x) - 1/3 x = 22/311/30 x = 22/3x = 20

Number System
84 * 29 + 365 = ?

- 2801
2801
2436
- 2071

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

- 84 * (30 - 1) + 365= - (84 * 30) + 84 + 365= - 2520 + 449 = - 2071

Number System
In a two-digit number, the digit in unit's place is two more than three times the digit in ten's place. If the sum of the two digits is 10, what is the number ?

24
28
18
22

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ y = 3x + 2 .......(i)And, x + y = 10 ......(ii)From (i) and (ii), x = 2, y = 8∴ Number = 28

Number System
If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is:

40
80
88
44

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and y. Then, (x + y) = 22 and x2 + y2 = 404 Now, 2xy = (x + y)2 - (x2 + y2) 2xy= 222 - 404 = 484 - 404 = 80xy = 40

Number System
How many numbers between 300 and 800 can be by using digits 2, 4, 5, 6 and 0 ?

48
36
52
56

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

∴ Reqd . numbers = 3 x 4P2 = 3 x 12 = 36

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

199
362
233
303

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.

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