Latest Elitmus Aptitude Question SOLUTION: Nandu bought a pen . HE paid for it with currency notes of denominations Re1 ,Rs 2 ,Rs 5 and Rs 10 using at least one note of each denomination. The total number of five and ten ru

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(#M40018515) ELITMUS Verbal Ability question Data Sufficiency Keep an EYE

Nandu bought a pen . HE paid for it with currency notes of denominations Re1 ,Rs 2 ,Rs 5 and Rs 10 using at least one note of each denomination. The total number of five and ten rupee notes used was one more than the total number of one and two rupee notes used. How many one rupee notes did Nandu used to pay for the pen
!)nandu used a total of 13 currency notes
2)The price of the pen was a multiple of ten

Asked In Elitmus Sumit Rawal (11 years ago)

Unsolved Read Solution (18)

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Read Solution (18) :

pankaj kapoor  (11 years ago)

Ans. 2
let Re 1 be a,Rs 2 be b;Rs 5 be c;Rs 10 be d
a+b+c+d=13
c+d=a+b+1(given)
a+b=6
if(a has value 2 and b has 4 then only it will be multiple of ten)
hence 2 is ans

Is this solution Helpfull? Yes (25) | No (12)  

shailesh  (11 years ago)

both statement together gives the ans

Is this solution Helpfull? Yes (21) | No (1)  

Sumit Rawal  (11 years ago)

Please just answer weather the question can be answered using any one of the statements alone or both the statements together

Is this solution Helpfull? Yes (4) | No (2)  

Siddartha Mulumudi  (9 years ago)

Answer is: The statement can be answered by using both the conditions

Is this solution Helpfull? Yes (3) | No   

Abhishek nkumar  (9 years ago)

ans. will be none is sufficient to answer. option D.100% sure.i solved in exam and got full marks for this.

Is this solution Helpfull? Yes (3) | No (5)  

Nitish  (11 years ago)

ans is 4
re 1*4=4
re 2*3=6
re 5*2=10
re 10*4=40
=60

Is this solution Helpfull? Yes (2) | No (21)  

Glued Brain  (11 years ago)

Let x be no. of notes of (1re + 2rs)
Let y be no. of notes of (5rs + 10rs)
Given that y = x + 1
From the 1st condition, the only value that x and y can take are 6 and y respectively, so as to get the sum of theirs as 13 and also satisfy the condition that no. of notes used of 5rs and 10rs are 1 more than the no. of notes used of 1re and 2rs.

Now say x = x1 + x2
now since the price is a multiple of ten, we have to adjust this sum of x to a multiple of 5 (i.e. the unit digit should be 5 or 0)
The only way the above condition can be satisfied is by having x1 = 2 and x2 = 4...
Hence the no. of 1re notes used is 2

Is this solution Helpfull? Yes (1) | No (1)  

pavan  (11 years ago)

both the statements are sufficient to answer
1rs*2=2
2rs*4=8
5rs*2=10
10rs*5=50
total = 60 rs which isa multiple of ten and it has total 13 currency notes i.e. two 1rs+four 2rs+two 5rs+five 10rs

Is this solution Helpfull? Yes (1) | No (2)  

shweta sharma  (11 years ago)

what is d rght ans alone or both the statements together?

Is this solution Helpfull? Yes (1) | No   

Ravindra  (11 years ago)

Ans:-2

as given there is 13 notes
and 10,5 rs notes are one more than 1,2 rs notes

than the only possibility that 6+7=13
so
a*1+b*2+c*5+d*10=e*10
in that
a+b=6
c+d=7
a*1+b*2 also should be 10's multiple
for a+b=6 there is only possible solution to make ans 10's multiple
a=2,b=4
check it
so 2 is right answwer

Is this solution Helpfull? Yes (1) | No (2)  

farjana sayyed  (11 years ago)

a= 1 rupee notes
b= 2 rupee notes
c= 5 rupee notes
d= 10 rupee notes
given a+b+c+d=13
and c+d+1=a+b

int(13/2)=6
so a+b=6
and c+d=7
possibility for 6= (4,2)(2,4)(3,3)(1,5)(5,1)
possibility for 7= (4,3)(3,4)(2,5)(5,2)(6,1)(1,6)
5*4+10*2=40 1*4+2*3=10
5*2+10*4=50 1*3+2*4=11
like this check the possibilities ,, we get 2 answers
2-->5,4-->10,1-->4,2-->3
or
4-->5,2-->10,1-->4,2-->3

Is this solution Helpfull? Yes (1) | No (4)  

Ankit Goyal  (11 years ago)

Can be solved using both the statements together

Total number of notes = 13
7 (1 and 2 currency notes)
6 (5 and 10 currency notes)

only possibility

2 notes of currency 1
4 notes of currency 2
4 notes of currency 5
3 notes of currency 10

cost = 60

Is this solution Helpfull? Yes (1) | No   

Arpit dubey  (9 years ago)

Both statement together will give the answer because only the sum of 1 & 2 rs note and 5 & 10 rs note is given nither the seprate count of 1 n 2 rs note nore that of 5 & 10 rs note is given

Is this solution Helpfull? Yes (1) | No   

Abhishek nkumar  (9 years ago)

option - d is correct. bcoz we are not getting Unique value of rs.1,2,5,10...llarly for statement 2

Is this solution Helpfull? Yes (1) | No   

Sumit Rawal  (11 years ago)

@pankaj please explain how have u taken a+b=6

Is this solution Helpfull? Yes | No (3)  

DEVIKA SARASWAT  (10 years ago)

Both the statements are required to answer this question. As its given, the total number of 5 and 10 rupee notes is one more than the total no.of 1 and 2 rupee notes and also a total of 13 currency notes are used, this is possible if the total no.of 5 and 10 rs.note = 7 and total no.of 1&2 rs.note =6.....
since the pen is a multiple of 10, it is possible only when we take
1 rs.note = 2
2 rs.note = 4
5 rs.note = 2
10 rs.note = 5
therefore the total amount is rs.70 and it needs both the statements to answer...

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Rakesh Ranjan  (9 years ago)

7 and 6
(5/3/1*10)+(2/4/6*5)+(4*2)+(2*1)=10x

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Aman  (7 years ago)

Answer is...both statements are needed together to get the answer.

if we take only 1st statement, we can only say that rs. 1and 2 together are 6 in number
and rs. 5 and 10 together are 7 in number. Any combination for rs. 1 and 2 are possible for total 6 coins.

if we take only 2nd statement, many combinations are possible to get total cost as multiple of 10.so, we won't get any particular solution.

Taking together 1 and 2 statements, we can use them as constraints for each other.
we will have rs.1*2 +rs.2*4 =rs.10 (6 coins).......only this combination is possible
rs. 5*6 +rs.10*1 =rs.40 (7 coins)......can be any combination for 5 and 10 rupees coin.

so, to get rs.1 coin as 2 in number, both statements are needed.

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