Ages - Online Quiz

Answer : C

Explanation

Supervisor?s age = 32 + 6 = 38 years

Q 2 - The average age of 30 boys in a class is 15 years. One boy aged 20 years, left the class, but two new boys came in his place whose ages differ by 5 years. If the average age of all the boys now in the class still remains 15 years, the age of the younger newcomer is :

Answer : B

Explanation

Let the age of younger boy be x years.
Therefore age of older boy = (x+5) years
Then, total age of 30 boys = 30*15 = 450 years
Total age of 31 boys after two newcomers join = 450 - 20 +x + x +5
= 435 + 2x

From the question, 435 + 2x = 31 * 15
Or, 2x = 465 - 435
Or, x = 15 years

Q 3 - Present ages of Radha and Sudha are in the ratio of 7:9 respectively. Five years ago ratio of their ages was 3:4. What will be Sudha?s age after 3 years from now?

Answer : A

Explanation

Let the present ages of Radha and Sudha be x years and y tears respectively.
Five years ago, Radha's age = (x - 5) years
Sudha's age = (y - 5) years
According to the question,
x/y = 7/9
Or,  x= 7y/9  ... (i)
Also, (x - 5) / (y - 5) = 3/4
Or, 4x - 20 = 3y - 15
Or, 4x - 3y = 5 ...(ii)
Putting the value of x from equ (i) into equ (ii),
(4*7y)/9 - 3y = 5
Or, 28y - 27y = 45
Or, y = 45
Therefore, Sudha's age after 3 years = 45 + 3 = 48 years

Q 4 - A man five times older in the comparison of his son in the present time but before the period of 5 year the father age in the comparison of his son was 10 times older . Find out present age of the father?

Answer : A

Explanation

Let the present age of the son be x year. Then , present age of the man  = 5x year
∴  (5x-5 = 10 (x-5) ⇒ 5x= 45 ⇒ x = 9
Age at the present time of the father is = (5*9) = 45 year

Q 5 - 10 year hence, 5:3 is the ratio of mother and daughter but 10 year before 3:1 would be the ratio of mother and daughter . Find out the mother and daughter present age of ratio?

Answer : A

Explanation

Let mother age 10 year hence be 5x years and daughter age be 3x years.
mother present age =( 5x-10) year, daughter present age = (3x-10) year
(5x-10)-10/(3x-10)-10 =3/1 ⇒ 5x-20/3x-20 = 3/1 ⇒ (5x-20) =3(3x-20) ⇒ 4x= 40 ⇒ x =10
Ratio of present age of mother and daughter =   (3*10-10)/(5*10-10) =20/40 = 1/2  =1:2

Q 6 - If 6 year is the difference of age of two boys ram and shyam at the present time. After the period of 4 year, the ratio of their age would be 3:4 . find out the shyam age at the present time?

Answer : C

Explanation

Let  x year is the ram present age then shyam present age will be (x+6)
X+4/ (x+6+4) = 3/4 = x+4/ x+10 = 3/4  ⇒ 4(x+4) = 3(x+10) ⇒ x = 14.
Hence , it proves that the present age of shyam = (14+6) = 20 year

Q 7 - A mother have 7 times in the comparison of her daughter at the time of 1 year ago . At the present time mother age is equal to the square of her son . What should be the time age of mother?

Answer : B

Explanation

Let the present age of the son be x years.
Man present age  =7(x-1)+1 years =  (7x-6 ) yrs.
7x-6 = x² ⇒ x²-7x+6 = 0 ⇒ (x-6)(x-1) =0 ⇒ x =6 or x =1
∴ present age of men = (7*6-6) = 36 yrs.

Q 8 - Before the period of 5 year, the age of vijay was 1/3 of the age in the comparison from vipin. The present age of vijay is 17 year , in that situation find out the present age of vipin?

Answer : C

Explanation

Let vijay age 5 years  ago be x years. Then, vipin age 5 years ago = 3x years.
x+5 = 17  ⇒ x = 12
present age of vipin = (3*12+5) = 41 yrs.

Q 9 - The sum of the ages of five girl born at the interval of 3 years each is 50 years. Find out the youngest girl age?

Answer : A

Explanation

Let the youngest girl age be x years. Then,
X+(x+3) +( x+6) +(x+9) +(x+12) = 50
⇒5x+30 = 50  ⇒ 5x= 20 ⇒ x =4
Required age = 4 yrs.

Q 10 - Here 3:2 is the present age ratio between raj and john. If raj was 6 year older in the comparisoin of john after the priod of 4 years. What should be the present age ratio of john?

Answer : B

Explanation

Let raj age = 3x years. Then john age = 2x years.
(3x-4) = 2x-4 +6 ⇒ x =6
Present age of john = (2*6) = 12 years

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