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Solution to the quiz

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Q1. Option B
Solution:
Present ratio P:M ==>2:9
After 10years P:M=4:11
Then
(2x+10)/(9x+10) = 4/11
22x+110=36x+40
X=5.
Then Mother‘s present age=9*5=45yrs.
After 15 yrs Mother‘s age is=60yrs.

Q2. Option C
Solution:
Given
A:B=5:x –1
A = C – 18 —2
C + 9 = 47 =>C=47-9=38yrs.
A – B = C —3
From 2 A=38-18=20yrs.
From 1 20/B=5/x==> B=4x
From 3 4x-20=38
X=14.5.

Q3. Option A
Solution:
Let 16 yrs ago the age of mine was=x
(x+24)/(8x+24)=1/3
X=48/5=9.6
My present age is 9.6+16=25.6
Present age of my Uncle =8*9.6+16=92.8
Required ratio =(25.6-8)/(92.8-8) =17.6/84.8=11:53.

Q4. Option D
Solution:
A+B=11(A-B)
A:B=6:5
According to 2nd condition
6x+5x+10=13(6x-5x)=5
A‘s age =6*5=30.

Q5. Option C
Solution:
F+M+S=42*3=126
The age of family after 6 years =36*5=180
The age of bride after 6 years=180-(126+18+5)
=180-149==>31yrs
Age of bride at the time of marriage=31-6=25yrs.

Q6. Option B
Solution:
From option 54-45=1/11(45+54)
9=9
Condition satisfied

Q7. Option D
Solution:
M – L = L – N
(M + N) = 2L
Given (M + N) = 60
then 2L=60==>L=30
But can‘t able to find M value
Therefore, cannot be determined.

Q8. Option C
Solution:
Let daughter‘s age = A and mother‘s age = B
Given: 3A+B = 75 and A+2B = 80
Solving A, we will get A = 14.

Q9. Option B
Solution:
Let P‘s age = X
R 12 yrs older than P so R‘s age = x+12
Q is thrice as old as P so Q‘s age = 3x
x + (x+12) + 3x = 57
=> 5x = 45
x = 9
P‘s age = 9
Q‘s age = 3x = 27
R‘s age = x+12 = 21
Q-R=27-21=6yrs.

Q10. Option A
Solution:
Epsi age =7-2=5yrs
Let Sharmi age be x years.
Then (x-10)/6=5
X=40

Q11. Option B
Solution:
Let Arun‘s present age be x years. Then, father‘s present age =(x + 3 x) years = 4x
years.
Then (4x+8)=5/2(x+8)
8x+16=5x+40
3x=24
X=8.
Required ratio, (4x+16)/(x+16) =48/24=2.

Q12. Option A
Solution:
Let the daughter‘s age be x years.
Then, father‘s age = 4x.
Mother‘s age = 4x – 10; Son‘s age = x + 6.
So, x + 6 = (4x-10)/2 ==> x=11.
Therefore Mother‘s age = 4X – 10= 44 – 10 = 34 years

Q13. Option C
Solution:
Present age of Thomas‘s son = x years
Thomas‘s present age = 3x years
Thomas‘s father‘s present age = 3x*2=6x
X+3x+6x=33 1/3 *3
10x=100/3*3==>x=10
Then diff between Thomas son‘s and father‘s age is
60-10=50yrs

Q14. Option D
Solution:
Father‘s age was 28 years when my sister was born.
My sister‘s age was 4 years when my brother was born.
Therefore, father‘s age was 28+4=32 years when my brother was born.

Q15. Option D
Solution:
Can‘t be determined

 

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