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Arithmetic aptitude :: Problems on Ages :: Data Sufficiency 1




Direction to solve:

Each of the questions given below consists of a statement and/ or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question.

  • Mark answer (A) if (I) alone sufficient while (II) alone not sufficient to answer
  • Mark answer (B) if (II) alone sufficient while (I) alone not sufficient to answer.
  • Mark answer (C) if Either (I) or (II) alone sufficient to answer.
  • Mark answer (D) Both (I) and (II) are not sufficient to answer.
  • Mark answer (E) Both (I) and (II) are necessary to answer.

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1.

What Anu's present age?

I). Anu's present age is five times her son's present age.

II). Anu's age two years hence will be three times her daughter's age at that time.


A) I) alone sufficient while II) alone not sufficient

B) II) alone sufficient while I) alone not sufficient

C) Either I) or II) alone sufficient

D) Both I) and II) are not sufficient

E) Both I) and II) are necessary



2.

What is the average age of X and Y?

I) The ratio between one-fifth of X's age and one-fourth of Y's age is $1:2$
II) The product of their ages is 20 times Y's age.


A) I) alone sufficient while II) alone not sufficient

B) II) alone sufficient while I) alone not sufficient

C) Either I) or II) alone sufficient

D) Both I) and II) are not sufficient

E) Both I) and II) are necessary



3.

How old is Z now?

I) Three years ago, the average of X and Y was 18 years

II) With Z joining them now, the average becomes 22 years.


A) I) alone sufficient while II) alone not sufficient

B) II) alone sufficient while I) alone not sufficient

C) Either I) or II) alone sufficient

D) Both I) and II) are not sufficient

E) Both I) and II) are necessary



4.

What is the ratio between the ages of mother and the son?

I) The sum of their ages is ages is 50 years.
II) 3 times the sum of thier ages is equal to 5 times the mother's age.


A) I) alone sufficient while II) alone not sufficient

B) II) alone sufficient while I) alone not sufficient

C) Either I) or II) alone sufficient

D) Both I) and II) are not sufficient

E) Both I) and II) are necessary



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