[prateek7563]

Originally Posted by abhay15783

A four digit number has exactly 3 consecutive digits same. If the number is divisible by 9.
Find the how many such numbers exists?

is the answer 6

[prateek7563]

Originally Posted by subu_222412

Divya goes to buy fruits and after a lot of bargaining is able to get the price of a dozen of apples reduced by Re1 from the initial price, thereby enabling her to get 1 apple extra for every rupee saved.(getting no discount on the extra apple) . What is the initial price of a dozen apples?

options a. Rs10 b.Rs13 c.Rs12 d.Rs15

According to me 13 should be the anwer,but in arun sharma it is given as 15.
Just wanted to know if I am wrong?

and according to me 12 shud be the answer.

[abhay15783]

Originally Posted by prateek7563

is the answer 6

Nopes the answer is 20

[kinscool]

Originally Posted by abhay15783

A four digit number has exactly 3 consecutive digits same. If the number is divisible by 9.
Find the how many such numbers exists?

<wrong post>

[prateek7563]

Originally Posted by abhay15783

Nopes the answer is 20

oops i got excited and forgot about sum as 18 and 27

see. first check for numbers having sum of digits = 9

0 + 9 = 9000 and 3330
3+6 = 3222 and 2223, 6111 and 1116

Now for 18:

0 + 18 = 6660
3+ 15 = 3555 & 5553
6+12 = 6444 and 4446
9 + 9 = 3339 and 9333

now for 27 =

8883, 3888, 7776, 6777, 9990,9666,6669.


hence equal to 20. check for a + b =9 or 18 or 27 where a or b is divisible by 3

[priyalli]

anita divided some chocolates among her three sons such that for every 4 chocolates that the eldest son got ,her second son got 3chocolates ,for every 2 chocolates that her son got ,her third son got 3 chocolates .if her ssecond son got 12 chocolates ,find the total number of chocolates recieved by the other two sons ?


ans:34

pls elaborate the steps

[racer_jo]

Originally Posted by priyalli

anita divided some chocolates among her three sons such that for every 4 chocolates that the eldest son got ,her second son got 3chocolates ,for every 2 chocolates that her son got ,her third son got 3 chocolates .if her ssecond son got 12 chocolates ,find the total number of chocolates recieved by the other two sons ?


ans:34

pls elaborate the steps

et her sons be A, B, C in descending order of age.

Given - A:B = 4:3
B:C = 2:3

therefore, A:B:C = 4:6:9

let total chocolates be x.

(6/23)x = 12 ---- No. of chocolates with B

x= 46----> A=16 , C = 18 ====> A+C = 34 (Ans)..

[akhilmisra]

Originally Posted by priyalli

anita divided some chocolates among her three sons such that for every 4 chocolates that the eldest son got ,her second son got 3chocolates ,for every 2 chocolates that her son got ,her third son got 3 chocolates .if her ssecond son got 12 chocolates ,find the total number of chocolates recieved by the other two sons ?


ans:34

pls elaborate the steps

let 4x be the no. of choclates received by first son , therefore second son receives 3x choclates.

now, we are give that for for every 2x choclates for second son third son gets 3x choclates
so for 3x chocolates of second son the third son gets (9/2)x choclates

so we have first son has 4x, second has 3x and third has (9/2)x

now, given 3x=12
x=4

therefore chocolates received by other two sons =4x+(9/2)x
=16+18
=34

cheers....

[priyalli]

Find the possible value of p:q given that
21p^2+pq =15????
3pq - q^2



pls give elaborate solution

[vineet.nitd]

Originally Posted by priyalli

Find the possible value of p:q given that
21p^2+pq =15????
3pq - q^2



pls give elaborate solution

Divide num and den by q^2 and put p/q=x.

21x^2+x=45x-15 =>21x^2-44x+15=0

=>x= (44+/- 26) /42 = 3/7 or 5/3