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Number System

Number System
Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?

12, 9
11, 6
10, 5
12, 7

ANSWER DOWNLOAD EXAMIANS APP

Number System
In a two-digit number, the digit in unit's place is two more than three times the digit in ten's place. If the sum of the two digits is 10, what is the number ?

24
22
28
18

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ y = 3x + 2 .......(i)And, x + y = 10 ......(ii)From (i) and (ii), x = 2, y = 8∴ Number = 28

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?

12/35
7/32
35/8
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
In how many different ways can the letters of the word 'FRUGAL'be arranged ?

720
556
515
660

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
If the difference between a number and its 2/5 is 240, find the number.

440
360
400
480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be x Therefore x - 2x/5 = 240,        Therefore, 3x/5 = 240Therefore, x = 240x5/3 = 400

Number System
The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is?

1
Nothing can be said.
6
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(10x + y) – (10y + x) = 54x – y = 6

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