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Number System

Number System
Two-third of a positive number and 25/216 of its reciprocal are equal. The number is:

25/144
144/25
12/5
5/12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,2/3 x = 25/216 * 1/xx2 = 25/216 * 3/2 = 25/144 x = 5/12

Number System
If the product of two successive positive integers is 4692, what is the smaller number ?

64
68
70
66

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

∵ 68 x 69 = 4692

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

556
720
660
515

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

In FRUGAL there ae six difference letters Therefore, 6 !                       = 6 x 5 x 4 x 3 x 2 x 1 = 720

Number System
(√6 + 1)² = ? + 2√6

7
6
8
5

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
65 x 288 ÷ 52 = 1.8 x ?

200
210
180
190

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 65x288/52x1.8 = 200

Number System
The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?

7
11
5
3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7

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