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Number System

Number System
How many numbers up to 200 are divisible by 2 and 3 both?

29
27
33
35

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

200/6 = 33 2/6 => 33 Numbers

Number System
If a number is subtracted from its square we get 272. Find the number?

24
22
14
17

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x2 – x = 272 => x =17

Number System
On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is:

11
13
12
10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Clearly, (2272 - 875) = 1397, is exactly divisible by N.Now. 1397 = 11 * 127The required 3-digit number is 127, the sum of whose digit is 10.

Number System
If (83)² is subtracted from the square of a number, the answer so obtained is 8487. What is the number ?

179
146
163
124

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x Therefore, x² - (83)² = 8487x² = 8487 + (83)²x² = 8487 + 6889x²   = 15376Therefore, x² = 15376                    x = 124

Number System
217 * 217 + 183 * 183 = ?

79698
80578
81268
80698

ANSWER DOWNLOAD EXAMIANS APP

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

15
30
18
20

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

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