Aptitude - Numbers - Discussion

The divisor is 10 times the quotient and 5 times the remainder.

Its mean.

Divisor=10*quotient+5*remainder.

If I am wrong, then please correct me.

No it's not .

5*remainder=divisor and 10*quotient= divisor
==>5*remainder=10*quotient.

In the above problem,
5*46=diviser==>230=diviser.

Then,
10*quotient=230==>quotient=23.

Let take the divisor be x.

Then.

x = 10 times the quotient and also.
x = 5 times the remainder.

x = 5*46 (46 is the given remainder value).
x = 230.

Substitute the value of x in quotient equation.

x = 10*quotient.

Quotient = x/10 = 230/10 = 23.

We know that,

Dividend = (Divisor x Quotient) + Remainder.

= (230 x 23) + 46.
= 5290 + 46.
= 5336.

NOTE: example for dividend formula.

If we take 11/2.

11 is called as dividend and.
2 is called as divisor.

Quotient is 5.
Remainder is 1.

So,

11= (2*5)+1.

Dividend = (Divisor x Quotient)+Remainder.

Hope you all understand:).

Is there any simple method?

Yeah! I agree with Abdul Rais.

How is it please anyone explains?

D = 10 * Q --->(1)
D = 5 * R ---->(2)
R = 46 ----->(3)

From (2) & (3)
D = 230 ------>(4)

From (1)&(4)
230 = 10*Q,
Q = 23,
Number = D * Q + R (i.e)By using Dividend=Divisor*quotient+rem.
Number = 230 * 23 + 46,
Number = 5336.

Not clear. Please explain it clearly.

If 5 times of a number is divided by 10 the quotient is 4 what is the number?

It is very Easy one.

d- divisor
r - reminder
q- quotient

Given,
d= 10*q............(1)
d= 5*r...........(2)

Equal 1,2
10*q=5*r......(3)
If reminder 46
Substitute in (3)
10*q=5*46.
q=23.
d= 230.

Question is find dividend.

Dividend= q*d + r.
Dividend= 23*230 + 46 = 5336.

Div=10 * quo.
Div=5 *rem.

Since rem=46
So Div=5 * 46 = 230
10 * quo = 230.
Quo=23.

We know div=div * quo + rem.
Div = 230 * 23 + 46,
Div = 5290 + 46,
Div = 5336.