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Number System

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

6184
6084
6048
5084

ANSWER DOWNLOAD EXAMIANS APP

Number System
How many times the keys of a typewriter have to be pressed in order to write first 400 counting numbers?

1092
1082
1200
1192

ANSWER DOWNLOAD EXAMIANS APP

Number System
(√6 + 1)² = ? + 2√6

5
6
7
8

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

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:

80
88
40
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
Find the smallest number which when divided by 13 and 16 leaves respective remainders of 2 and 5.

197
207
187
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
0.333 .... × 0.444 .... is equal to

1.333 ....
0.148148148 ....
0.777 ....
0.121212 ....

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.148148148 ....

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