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Number System

Number System
(√6 + 1)² = ? + 2√6

5
8
7
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

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

219
187
197
207

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
What least number should be added to 8602 to make it a perfect square ?

47
51
36
41

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

So, (93)² = 8649So, the required number to be added to make a perfect square = 8649 - 8602 = 47

Number System
450% of a number is 4725. What is 82% of that number ?

861
871
851
841

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x x 450/100 = 4725= x = 4725 x 100/450 = 1050∴ 82% of 1050 = 1050 x 82/100= 861

Number System
The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?

7/32
35/8
12/35
1/35

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be a and b. Then,a + b = 12 and ab = 35.(a + b)/ab = 12/35= (1/b + 1/a) = 12/35Sum of reciprocals of given numbers = 12/35.

Number System
Which is the largest fraction among the following ?

12/13
21/22
21/23
24/25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

21/23 = 0.913,12/13 = 0.92323/25 = 0.92, 21/22 = 0.9545, 24/25 = 0.96

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