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Number System

Number System
Sum of two consecutive even terms lacks by 98 from their product. Find the sum of these number

None
24
18
32

ANSWER DOWNLOAD EXAMIANS APP

Number System
If the difference between the squares of two consecutive numbers is 47, what is the smaller number ?

25
23
26
24

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be (x + 1) and x.Therefore, (x + 1)² - x² = 47x² + 2x + 1 - x² = 472x + 1 = 47Therefore, x = 46/2 = 23

Number System
4/6 of 6/5 of 5/7 of a number is 96. Find the number.

162
170
164
168

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x x 4/6 x 6/5 x 5/7 = 96∴ x = 96 x 6 x 5 x 7/4 x 6 x 5 = 168

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
On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder?

7
4
5
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let x be the number and y be the quotient. Then, x = 357 * y + 39= (17 * 21 * y) + (17 * 2) + 5= 17 * (21y + 2) + 5.Required remainder = 5.

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

40
None of these
60
80

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The world LEASE consists of 5 letters in which E comes twice ∴ 51/21 = 5x4x3x2x1/2x1 = 60

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