Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 47)
47.
In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?
4236
4306
4336
5336
None of these
Answer: Option
Explanation:

Divisor = (5 x 46) = 230

10 x Quotient = 230     = 230 = 23
10

Dividend = (Divisor x Quotient) + Remainder

    = (230 x 23) + 46

    = 5290 + 46

    = 5336.

Discussion:
15 comments Page 1 of 2.

Shreyash Rai said:   2 years ago
Very good explanation.Thanks all.
(11)

Deepika said:   3 years ago
Thanks for explaining @Thulasi.
(4)

Arpita said:   3 years ago
@Vinayak.

Your explanation is very nice.
(3)

Jogesh kumar said:   6 years ago
Reminder is 46.

Let the quotient is x. Then divisor is 10x.
Let the reminder is y. Then Divisor is 5y.
According to question, 10x=5y.
Then y=2x.

Given y=46. Then x=23.
Quotient=23.
Divisor=230.
Reminder=46.

Then the dividend is;
= (divisor * quotient) + reminder.
= (230 * 23) + 46.
= 5290 + 46.
= 5336 (ans).
(4)

Gowry said:   7 years ago
I can't understand.

Could anyone please explain me simply? please.
(1)

Ramesh Jujare said:   7 years ago
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.
(3)

Vinayak Mahadev said:   8 years ago
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.
(3)

Diwakar sharma said:   8 years ago
If 5 times of a number is divided by 10 the quotient is 4 what is the number?

Smitha said:   9 years ago
Not clear. Please explain it clearly.

Thulasi said:   9 years ago
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.
(1)


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