The sum of two digits of a number is 10. If the digits are interchanged, then its value increases by 18. Find the number.

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RRB Non Technical Exam (Secunderabad) 2016 click here to view all questions

The sum of two digits of a number is 10. If the digits are interchanged, then its value increases by 18. Find the number.

A46

B64

C19

D28

rahim ? Jan 10 '2020 at 12:0

Correct answer is: 46

Explanation:

Let us assume the digits are x and y, so the number is written as "xy".

Sum of digits is 10, so

x + y = 10 ..........................(1)

as x is in 10s' place and y in units place the actual number is 10*x + y

when the digits are interchange (i.e number written as "yx") the actual number becomes 10*y+x

Given that interchanging increases the value by 18, so

(10*y+x) - (10*x + y) = 18

i.e 9*y - 9*x = 18

i.e y - x = 2 ............................. (2)

Adding (1) and (2) we get

2*y = 12

or y =6

Putting y = 6 in (1)

x + 6 = 10

or x =4

So the number is 10*x + y

i .e 10 * 4 + 6

or 46

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4/5 of a certain number is 64.half of the number is?

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4/5 of a certain number is 64.half of the number is?

A40

B32

C80

D16

rahul ? Jan 15 '2020 at 9:12

Correct answer is: 40

Explanation:

Let the number be x

Therefore,
$\frac{4x}{5} = 64$
4x = 320
x = 80

Hence, $\frac{1}{2}$of the number = $\frac{1}{2} \times 80$= 40

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If each of the digits in the number '92581473' are arranged in ascending order, what will be the difference between the digits, which are fourth from the right and third from the left in the new arrangement?

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If each of the digits in the number '92581473' are arranged in ascending order, what will be the difference between the digits, which are fourth from the right and third from the left in the new arrangement?

AOne

BTwo

CThree

DFour

rahul ? Jan 15 '2020 at 15:22

Correct answer is: Two

Explanation:

Ascending order 1 2 3 4 5 7 8 9
∴ Required difference = 5 - 3 = 2

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The number nearest to 10000 which is exactly divisible by each of 3, 4, 5, 6, 7and 8 is

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RRB GG Exam (Bhopal) 2009 click here to view all questions

The number nearest to 10000 which is exactly divisible by each of 3, 4, 5, 6, 7 and 8 is

A9240

B10080

C9996

D100000

rahul ? Jan 11 '2020 at 16:53

Correct answer is: 10080

Explanation:

LCM of (3, 4, 5, 6, 7, 8) = 3 × 4 × 5 × 7 × 2 = 840
⇒ divided 10000 by LCM

$=> \frac{10000}{840}$ , we get remainder = 760

Now two possibilities are
= 10000 - 760 = 9240
or 10000 + (840 - 760) = 10080
So, nearest number is = 10080

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Of the three numbers, the second is twice the first and it is also thrice the third.If the average of three numbers is 44, the difference of the first number and thethird number is

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Of the three numbers, the second is twice the first and it is also thrice the third. If the average of three numbers is 44, the difference of the first number and the third number is

A24

B18

C12

D6

raju ? Jan 11 '2020 at 16:45

Correct answer is: 12

Explanation:

Let third number be x.
Then, second number = 3x

First number $=\Large \frac{3x}{2}$ 

$\Large x + 3x + \frac{3x}{2} = \left(44 \times 3\right)$

$\Large \frac{11x}{2} = 44 \times 3$

$\Large x = 24$

the difference of the first number and the third number is

$=\Large \frac{3x}{2} - x$

$= \frac{3 \times 24}{2}-24$

$=36 - 24$

$= 12$

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