By which numbers trained nurses are represented ?

Question: A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
[A].

45

[B].

60

[C].

75

[D].

90

Answer: Option D

Explanation:

Let number of notes of each denomination be x.

Then, x + 5x + 10x = 480 16x = 480 x = 30.

Hence, total number of notes = 3x = 90.

Question: A woman says, “If you reverse my own age, the figures represent my husband’s age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum.” The woman’s age is
[A].

23 years

[B].

34 years

[C].

45 years

[D].

None of these

Answer: Option C

Explanation:

Let x and y be the ten’s and unit’s digits respectively of the numeral denoting the woman’s age.

Then, woman’s age = (10X + y) years; husband’s age = (10y + x) years.

Therefore (10y + x)- (10X + y) = (1/11) (10y + x + 10x + y)

(9y-9x) = (1/11)(11y + 11x) = (x + y) 10x = 8y x = (4/5)y

Clearly, y should be a single-digit multiple of 5, which is 5.

So, x = 4, y = 5.

Hence, woman’s age = 10x + y = 45 years.