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Number System

Number System
In how many different ways can the letters of the word ANATOMY be arranged ?

2504
2508
2520
2510

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Here total letters are 7 but A comes twice.Therefore, Numbers of arrangements = 7!/2! = 2520

Number System
If the difference between a number and its three fifths is 62, what is the number ?

165
175
155
145

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x - 3x/5 = 62or x = 62 x 5/2 = 155

Number System
A certain number of two digits is three times the sum of its digits. If 45 be added to it, the digits are reversed. The number is:

22
27
24
30

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

27

Number System
What is the difference between the largest number and the least number written with the digits 7, 3, 1, 4?

6048
6184
5084
6084

ANSWER DOWNLOAD EXAMIANS APP

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

197
187
207
219

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
(√6 + 1)² = ? + 2√6

7
5
8
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = (√6 + 1)² - 2√6= (√6)² + 2 x √6 + 1 + 1² - 2√6= 6 + 2√6 + 1 - 2√6 = 6 + 1 = 7

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