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Number System

Number System
(√6 + 1)² = ? + 2√6

5
8
6
7

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
Subtracting 30 from a number, the remainder is one fourth of the number. Find the number?

22 1/2
40
30
45

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3/4 x = 30 => x = 40

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

2520
2367
2410
2678

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

In BIOLOGY total 7 letters are there but O comes twice.∴ Number of arrangements = 7!/2! = 2520

Number System
If the following fractions 7/6, 6/7, 5/3, 8/13 and 6/5 are arranged in descending order, which will be the last in the series?

9/13
8/13
6/13
7/13

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

7/6 = 1.166, 6/7 = 0.857,5/3 = 1.66,8/13 = 0.615,6/5 = 1.2Therefore, 5/3 > 6/5 > 7/6 > 6/7 > 8/13

Number System
The sum of two numbers is 25 and their difference is 13. Find their product.

104
114
315
325

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and y. Then x + y = 25 and x - y = 13.x = 19; y = 6xy = 19 * 6 = 114

Number System
A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:

352
370
145
253

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the middle digit be x. Then, 2x = 10 or x = 5.So, the number is either 253 or 352. Since the number increases on reversing the digits, so the hundred's digit is smaller than the unit's digit. Hence, required number = 253.

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