Ages

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1) After 4 years, the ratio of the ages of A and B is 3:2 and the C’s age 5 years ago is 8 years less than the present age of B. Average of the ages of A, B and C together is 32 years 4 months. Find the present age of A?

A.40 years

B.44 years

C.48 years

D.52 years

E.None of these


2) Present age of A is 6 times the age of B 2 years ago. 4 years hence, A’s age will be 4 times the age of B at that time. What will be the age of B after 6 years?

A.19 years

B.11 years

C.18 years

D.17 years

E.None of these


3) Ratio of the ages of Anu to France is 5:4 and Ram is 4 years younger than Anu and Karthick is 6 years younger than Ram. If Karthick’s present age is 20 years, then the present age of Karthick is approximately what percent of the present age of France?

A.83%

B.86%

C.89%

D.78%

E.75%


4) The present ages of Arul and Arun is 7: 5 and after four years the ratio becomes 15: 11. What is the difference between the ages of Arul and Arun 5 years ago?

A.12 years

B.16 years

C.20 years

D.24 years

E.10 years


5) Ratio of the ages of A, B and C is 4: 5: 6 and the ratio of the ages of D and E is 3: 2. If the sum of the ages of C and D is 60 years and the ratio of the ages of B to E is 15: 8, then what is the average ages of A, B, C, D and E?

A.24 years

B.26 years

C.28 years

D.30 years

E.None of these


6) Ratio of present ages of A and B is 4: 5. Sum of the present age of D and A is 41. C is 2 years younger than B. Average of the present age of B, C and D is 21 years. Find the difference of D and C’s age.

A.3

B.5

C.7

D.9

E.None of these


7) The ratio of present ages of Ganesh and Prabha is 3: 2. Present age of Prabha is equal to the age of Ganesh 8 years ago. Find the sum of the ages of Ganesh and Prabha after 5 years?

A.38 years

B.42 years

C.46 years

D.50 years

E.None of these


8) The ratio of present ages of A and B is 5: 7. After 5 years, the ratio of ages of A and B will be 3: 4. Find the difference between their ages

A.10 years

B.12 years

C.14 years

D.8 years

E.None of these


9) Ratio of present age of Satish and Raju is 7: 6. Sum of the present age of Sweta and Satish is 54. Anu is 4 years younger than Raju. Average of present ages of Raju, Anu and Sweta is 23 1/3 years. Find the difference of Sweta and Anu’s age.

A.2

B.4

C.6

D.8

E.None of these


10) Ten years ago, the average of the ages of David, Hari and Kani is 34 years and after 6 years, the average ages of Hari and Kani is 53 years. Find the present age of David.

A.30 years

B.34 years

C.38 years

D.42 years

E.None of these

 

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Answers :

1) Answer: B

A’s age after 4 years = 3x

B’s age after 4 years = 2x

Present age of B = 2x – 4

C’s present age – 5 = 2x – 4 – 8

C’s present age = 2x – 7

A + B + C = 32(1/3) * 3 = 97

3x – 4 + 2x – 4 + 2x – 7 = 97

7x = 112

x = 16

A’s present age = 3 * 16 – 4 = 44 years


2) Answer: C

A = 6(B – 2)

A = 6B – 12

6B – A = 12 —-(i)

A + 4 = 4(B + 4)

A – 4B = 12 —-(ii)

Solving equation i and ii we get,

A = 60 years and B = 12 years

So after 6 yrs, age of B will be 12 + 6 = 18 years.


3) Answer: A

Present age of Karthick = 20 years

Present age of Ram = 20 + 6 = 26 years

Anu’s age = 26 + 4 = 30 years

Present age of France = 30 * 4/5 = 24 years

Required percentage = 20/24 * 100 = 83%


4) Answer: B

(7x + 4)/(5x + 4) = 15/11

75x + 60 = 77x + 44

2x = 16

X = 8

Arul age 5 years ago = (7 * 8) – 5 = 51

Arun age 5 years ago = (5 * 8) – 5 = 35

Difference = 51 – 35 = 16 years


5) Answer: B

Ratio of the ages of A, B, C, D and E = 12: 15: 18: 12: 8

18x + 12x = 60

30x = 60

x = 2

Required average = ((12 + 15 + 18 + 12 + 8) * 2)/5

= 26 years


6) Answer: C

A = 4x and B = 5x

C = 5x – 2 and D = 41 – 4x

Given, (5x + 5x – 2 + 41 – 4x)/3 = 21

=> x = 4

Required difference = D – C = 41 – 4x – 5x + 2 = 7


7) Answer: D

The ratio of present ages of Ganesh and Prabha = 3: 2 (3x, 2x)

Present age of Prabha = The age of Ganesh, 8 years ago

2x = 3x – 8

x = 8

Present age of Ganesh and Prabha = 24 and 16 years

Required Sum = 24 + 16 + 10 = 50 years


8) Answer: A

The ratio of present age of A and B = 5: 7 (5x, 7x)

After 5 years, the ratio will be = 3: 4

(5x + 5) / (7x + 5) = ¾

20x + 20 = 21x + 15

x = 5

Present ages of A and B is 25 years and 35 years respectively

Required difference = 35 – 25 = 10 years


9) Answer: C

Satish = 7x and Raju = 6x

Anu = 6x – 4 and Sweta + 7x = 54

Sweta = 54 – 7x

(6x + 6x – 4 + 54 – 7x)/3 = 23 1/3

=> x = 4

Swetha = 54 – 7x = 26 years

Anu = 6x – 4 = 20 years

Required difference = 26 – 20 = 6 years


10) Answer: C

David – 10 + Hari – 10 + Kani – 10 = 34 * 3

David + Hari + Kani = 132 years

Hari + 6 + Kani + 6 = 53 * 2

Hari + Kani = 94

David = 132 – 94 = 38 years

 

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11) Three years ago, the ratio of the ages of A and B is 3:4 and the average of the ages of B and C after 4 years is 40 years. If after 9 years, A’s age is equal to the average ages of B and C, then what is the present age of C?

A.28 years

B.33 years

C.37 years

D.43 years

E.48 years


12) The average age of A, B, C and D is 42 years and the average ages of B, C and D is 28 years. If the sum of the ages of A and B is 144 years and after 10 years, the ratio of the ages of B to C is 7:3, then what is the present age of D?

A.8 years

B.7 years

C.12 years

D.5 years

E.None of these


13) Five years ago, the ratio of the ages of A to B is 2:1 and the present age of A is 20 years more than B. If C’s age is 20% more than the sum of the present age of A and B together, then what is C’s age after 8 years?

A.90 years

B.88 years

C.94 years

D.86 years

E.None of these


14) The respective ratio of the present ages of father to son is 7:3. Five years ago, the ratio of their ages was 5:2. Then what will be the son’s age, 10 years from now?

A.45 years

B.55 years

C.60 years

D.35 years

E.40 years


15) A’s age is 120% of B’s age and B’s age is 125% of C’s age. If the average of the ages of A, B and C is 50 years, the find 175% of C’s age?

A.70

B.80

C.60

D.50

E.None of these


16) Average of the ages of Sam, Shon, Surya and Sunil is 39 years. If the sum of the ages of Sam and Sunil is 78 years and the difference between the ages of Shon and Surya is 6 years. Ratio of the ages of Shon and Sunil is 3:2. If Shon is elder than Surya, what is the present age of Sam?

A.50 years

B.48 years

C.45 years

D.60 years

E.54 years


17) 6 years ago, the ratio of the ages of Shon and Sania is 4:5 and after 12 years, the ratio of the age of Shon to Sania will be 7:8. What is the ratio of the present age of Shon to Sania?

A.5:6

B.6:7

C.7:8

D.4:5

E.None of these


18) Three years hence, the ratio of Karthi and Janvi will be 7:5. The age of Karthi two years hence is equal to two times the age of Janvi 5 years ago. What is the present age of Karthi?

A.24 years

B.26 years

C.32 years

D.38 years

E.None of these


19) Ratio of the present ages of Ovi and Kavi is 4:5. The present age of Pooja is 60% of the present age of Kavi.Average of the ages of Ovi, Kavi and Pooja is 24 years, then find the sum of the present ages of Pooja and Ovi?

A.48 years

B.36 years

C.42 years

D.30 years

E.None of these


20) Five years ago, the ratio of the ages of A and B is 4: 5 and after 5 years, the ratio becomes 6: 7. What is the difference between the ages of A and B after 20 years?

A.5 years

B.4 years

C.3 years

D.8 years

E.None of these

 

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Answers :

11) Answer: C

(A – 3)/(B – 3)=3:4

4A – 12=3B – 9

4A – 3B=3

((B + 4) + (C + 4))/2=40

B + C=72

A’s age after 9 years=72/2=36 years

A’s present age=36 – 9=27 years

4 * 27 – 3B=3

B=35 years

C=72 – 35=37 years


12) Answer: E

A + B + C + D=42 * 4=168

B + C + D=28 * 3=84

A + B=144

A=168 – 84 = 84 years

B =144 – 84 = 60 years

C + D =168 – (84 + 60) = 24 years

After 10 years B’s age=60 + 10=70 years

C’s age after 10 years=70 * 3/70=30 years

Present age of C=30 – 10=20 years

D =24 – 20 = 4 years.


13) Answer: E

(A – 5)/(B – 5) = 2/1

A – 5 = 2B – 10

A – 2B = -5

A = B + 20

B + 20 – 2B=-5

B = 25

A = 25 + 20=45

C = 120/100 * (45 + 25)

= 84 years

After 8 years C’s age = 84 + 8=92 years


14) Answer: B

The respective ratio of the present ages of father to son is 7:3

Father’s age = 7x

Son’s age = 3x

Five years age, Father’s age = 7x-5

Son’s age = 3x-5

(7x – 5)/(3x – 5) = 5/2

14x – 10 = 15x – 25

x = 15

Son’s present age = 15 * 3=45 years

After 10years, the son’s age = 55 years


15) Answer: A

A=120B/100

A=6/5 * B

B=125/100 * C

B=5/4 * C

5A/6=5/4 * C

A/3=C/2

A=3C/2

3C/2 + 5/4 * C + C=50 * 3

6C + 5C + 4C=600

C=40 years

175% of C’s age=175/100 * 40

=70


16) Answer: A

Sam + Shon + Surya + Sunil=39 * 4=156

Sam + Sunil=78

Shon – Surya=6

Shon + Surya=156 – 78=78

2Shon=84

Shon=42 years

Sunil=2/3 * 42=28

Sam=78 – 28=50 years


17) Answer: A

(4x + 6 + 12)/(5x + 6 + 12) = 7/8

(4x + 18) * 8 = (5x + 18) * 7

32x + 144 = 35x + 126

3x = 18

x = 6 years

Preset age ratio of Shon to Sania= (4 * 6 + 6):(5 * 6 + 6)

= 30:36

=5:6


18) Answer: C

Three years hence, the ratio of Karthi and Janvi = 7:5(7x, 5x)

Present age of Karthi and Janvi = 7x – 3, 5x – 3

According to the question,

7x – 1 = 2*(5x – 8)

7x – 1 = 10x – 16

3x = 15

x = 5

The present age of Karthi = 7x – 3 = 35 – 3 = 32 years


19) Answer: C

Ovi’s present age = 4x

Kavi’s present age = 5x

Pooja = 60/100 * 5x = 3x

Sum of the ages of Ovi, Kavi and Pooja = 24 * 3 = 72

4x + 5x + 3x = 72

x = 6 years

Sum of the present age of Pooja and Ovi = 4x + 3x = 7x

= 7 * 6 = 42 years


20) Answer: A

The ratio of ages of A and B, 5 years ago = 4: 5 (4x, 5x)

(4x + 10)/(5x + 10) = 6/7

30x + 60 = 28x + 70

2x = 10

x = 5

A’s age after 20 years = 4 * 5 + 5 + 20 = 45

B’s age after 20 years = 5 * 5 + 5 + 20 = 50

Difference between A and B = 5 years

 

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21) The ratio of the ages of Sachin and his father is 1 : 3 respectively. After 8 years, the ratio of their ages will be 3 : 7 respectively. Then find what will be the ratio of their ages 7 years ago?

A.5 : 11

B.9 : 41

C.11 : 23

D.12 : 25

E.None of these


22) After 2 years, Raj’s age will be 30% more than Rahul’s age. If the ratio of present ages of Rahul and Raj is 3: 4 respectively, then after how many years, Raj’s age will be 24% more than Rahul’s age?

A.5 years

B.9 years

C.7 years

D.8 years

E.6 years


23) After 6 years, the ratio of the ages of Dhoni, Harthick and Rohit is 6:4:7. If the product of the present ages of Harthick and Rohit is 648 years, then what is the present age of Dhoni?

A.24

B.30

C.36

D.18

E.42


24) Six years ago, the ratio of the ages of Kani and vani is 5:6. The age of Kani after 4 years is equal to the age of Vani 2 years ago. If the average of the present age of Vani, Kani and Veni is 41 years, then find the age of Veni after 5 years?

A.45 years

B.40 years

C.55 years

D.50 years

E.60 years


25) The present age of Balu is 23 years which is 15% more than the present age of Sankar. The ratio of present age of Sankar and Sanu is 4: 5 respectively. If Amol is 5 years elder than Sanu, then find the ratio of present ages of Sankar to Amol.

A.1: 2

B.2: 3

C.3: 4

D.4: 5

E.None of these


26) The average of the present age of Leela, Nila and Kani is 27 years. If the ratio of the ages of Nila and Kani after 9 years is 3:4 and the Leela is 9 years elder than Kani, then find the sum of the present age of Leela and Nila?

A.48

B.54

C.60

D.36

E.45


27) The ratio of present ages of Ram and Ravi is 15: 13 respectively and the average present ages of Ram, Ravi and Sanam is 23 years. When Rio joins them, then the average becomes 21 years. If Sanam is 2 years younger than Rio, find the ratio of the present ages of Ram and Rio.

A.1: 2

B.2: 1

C.2: 3

D.4: 1

E.None of these


28) Present age of Raman is 3 times the present age of Kamal. If after 6 years, Raman age will be 4 times the age of Kamal 6 years ago. Find the average of the present ages of Raman and Kamal?

A.60 years

B.56 years

C.74 years

D.48 years

E.None of these


29) P is 7 years older than Q and R’s present age is 5 years less than the double of Q’s present age. If R is 13 years older than P, then after 8 years, R’s age will be what per cent of P’s age?

A.133.33%

B.150%

C.125%

D.132.5%

E.137.5%


30) P’ present age is thrice the difference between Q’s present age and R’s present age. If R’s present age is 40% more than Q’s present age, then find the ratio of P’s present age to Q’s present age?

A.4: 3

B.5: 4

C.Cannot be determined

D.6: 5

E.5: 3

 

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Answers :

21) Answer: B

Let the age of Sachin = x

And the age of his father = 3x

So, according to the question,

(x + 8)/(3x + 8) = 3/7

7x + 56 = 9x + 24

9x – 7x = 56 – 24

2x = 32

x = 16

So, the age of Sachin before 7 year = 16 – 7 = 9 year

And the age of his father before 7 year = (16 × 3) – 7 = 41 year

Hence, the required answer = 9 : 41.


22) Answer: C

Let present ages of Rahul and Raj are ‘3x’ years and ‘4x’ years, respectively.

So,

(4x + 2) = (3x + 2) * (130/100)

40x + 20 = 39x + 26

x = 6

Rahul’s present age = 3 * 6 = 18 years

Raj’s present age = 4 * 6 = 24 years

Let after ‘t’ years Raj’s age will be 24% more than Rahul’s age.

So,

(24 + t) = (18 + t) * (124/100)

600 + 25t = 558 + 31t

t = 7

So, after 7 years, Raj’s age will 24% more than Rahul’s age.


23) Answer: B

(4x – 6) * (7x – 6) = 648

28x2 – 24x – 42x + 36 = 648

28x2 – 66x + 36 = 648

14x2 – 33x + 18 = 324

14x2 – 33x + 18 – 324 = 0

14x2 – 33x – 306 = 0

14x2 – 84x + 51x – 306 = 0

14x (x – 6) + 51(x – 6)= 0

(14x + 51) (x – 6) = 0

x = 6

Present age of Dhoni = 6 * 6 – 6 = 36 – 6 = 30 years


24) Answer: D

Vani + Kani + veni = 41 * 3 = 123

Present age of Kani = 5x + 6

Present age of Vani = 6x + 6

(5x + 6 + 4) = (6x + 6 – 2)

x = 6

Present age of Kani = 5 * 6 + 6 = 36 years

Present age of Vani = 6 * 6 + 6 = 42 years

Present age of Veni = 123 – 36 – 42 = 45

Veni age after 5 years = 45 + 5 = 50 years


25) Answer: B

Sankar = 23 / 1.15 = 20 years

Sanu = 20 * 5 / 4 = 25 years

Amol = 25 + 5 = 30 years

Required ratio = Sanu: Amol

= 20: 30 = 2: 3


26) Answer: B

Leela + Nila + Kani = 27 * 3 = 81

Nila + 9 = 3x

Kani + 9 = 4x

Leela – Kani = 9

Leela – (4x – 9) = 9

Leela = 9 + 4x – 9 = 4x

3x – 9 + 4x – 9 + 4x = 81

11x = 99

x = 9

Sum of the ages of Leela and Nila = 4 * 9 + (3 * 9 – 9)

= 54


27) Answer: B

Ram = 15x and Ravi = 13x

Sanam = 3 * 23 – 28x = 69 – 28x

Rio = 4 * 21 – 3 * 23 = 15 years

Sanam = 15 – 2 = 13 years

=> 69 – 28x = 13

=> x = 2

Ram = 15x = 30 years

Required ratio = Ram: Rio = 30: 15 = 2: 1


28) Answer: A

Let the present age of Raman = x years

And the present age of Kamal = y years

Now, x = 3y

So, according to the question,

(x + 6) = 4 × (y – 6)

x + 6 = 4y – 24

Put the value of x,

3y + 6 = 4y – 24

y = 30

So, the present age of Kamal = 30 years

And the present age of Raman = 3 × 30 = 90 years

This, the average age of both = (30 + 90)/2 = 60 years


29) Answer: D

Let Q’s present age = ‘x’ years

So, P’s present age = (x + 7) years

And R’s present age = (2x – 5) years

From the question:

2x – 5 – x – 7 = 13

x = 25

P’s present age = 25 + 7 = 32 years

P’s age after 8 years = 32 + 8 = 40 years

R’s present age = 2 * 25 – 5 = 45 years

R’s age after 8 years = 45 + 8 = 53 years

Required percentage = (53/40) * 100 = 132.5%


30) Answer: D

Let Q’s present age = ‘x’ years

So, R’s present age = 140% of ‘x’ = (7x/5) years

Let P’s present age = ‘y’ years

So,

y = 3 * [(7x/5) – x]

y = 3 * 2x/5

5y = 6x

y/x = 6/5

So, ratio of P’s present age to Q’s present age = 6: 5

 

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31) Average ages of Anil, Mathavi and Merlin is 26 years. If the present age of Mathavi is two times of the age of Merlin 6 years ago and the present age of Anil is 12 years more than that of Mathavi, then what is the present age of Merlin?

A.12 years

B.18 years

C.15 years

D.22 years

E.24 years


32) The ratio of the ages of Vishva and Shalini is 7:4 and the ratio of the ages of Shamala and Shalini is 5:4. If Vishva is 36 years elder than Shamala, then find the average age of Vishva, Shalini and Shamala together?

A.88 years

B.92 years

C.96 years

D.82 years

E.None of these


33) After 6 years, the ratio of the ages of Arul to Karan is 7:6. The average age of Arul, Karan and Saran is 30 years. If the age of Saran is 12 years younger than Arul, then find the present age of Karan?

A.24 years

B.30 years

C.36 years

D.42 years

E.18 years


34) The sum of the present ages of P and Q is 70 years. If the ratio of the age of P 4 years ago and the age of Q 4 years hence is 3: 4 respectively, then find the ratio of age of P 6 years hence to the age of Q 6 years ago.

A.1: 2

B.2: 1

C.3: 4

D.4: 3

E.None of these


35) Sum of the ages of A and B five years hence is 60 and the ratio between the age of A, 4 years ago and age of B, 4 years hence is 9:16, find the present age of B?

A.22 years

B.28 years

C.24 years

D.26 years

E.27 years


36) 2 years ago, Age of Naren was four times the age of Sam 5 years ago. If the present age of Naren is 150% more than the present age of Sam, then what is the age of Sam?

A.6 years

B.8 years

C.10 years

D.12 years

E.None of these


37) 8 years ago, the ratio of the ages of Sureka and Francis is 7:6. Sureka’s age 6 years ago is 25% less than the age of Francis after 8 years. If the average age of Sureka, Francis and Dev is 32 years, find the present age of Dev?

A.22 years

B.24 years

C.26 years

D.28 years

E.20 years


38) After 8 years, the ratio of the ages of Pinky and Blacky is 2:3. 4 years ago, the age of Pinky is half of the present age of Blacky. If the present age of Whitey is 25% more than the sum of the present age of Pinky and Blacky, then find the age of Whitey after 5 years?

A.75 years

B.80 years

C.85 years

D.90 years

E.95 years


39) Present ages of Amol and Sanu are in the ratio of 4: 5 respectively. After 5 years, ages of Sam and Sanam will be in the ratio of 6: 7 respectively. Present age of Sanam is 5 years elder than that of Sanu. Find the age of Sanu, if the present average age of Amol, Sanu, Sam and Sanam is 25 years.

A.20 years

B.25 years

C.30 years

D.35 years

E.None of these


40) Ratio of the ages of Rani and Vani is 4:5 and after 5 years, the ratio of the ages of Vani and Sana is 3:4. If the difference between the ages of Sana and Rani is 15 years, then find the average age of Vani and Sana?

A.25 years

B.30 years

C.35 years

D.40 years

E.45 years

 

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Answers :

31) Answer: B

Anil + Mathavi + Merlin = 26 * 3 = 78

Mathavi = 2 * (Merlin – 6)

Anil – Mathavi = 12

Anil = 12 + 2Merlin – 12

Merlin + 2Merlin – 12 + 2Merlin = 78

5 Merlin = 90

Merlin = 18 years


32) Answer: C

The ratio of the ages of Vishva, Shalini and Shamala = 7:4:5

7x – 5x = 36

x = 18

Required average = (16 * 18)/3

= 96 years


33) Answer: B

Arul + Karan + Saran = 30 * 3 = 90

Arul – Saran = 12

Arul = 7x – 6

Karan = 6x – 6

Saran = 7x – 6 – 12

7x – 6 + 6x – 6 + 7x – 18 = 90

20x = 120

x = 6

Present age of Karan = 36 – 6 = 30 years


34) Answer: D

Let the age of P = x. Age of P and Q = 70

Age of Q = 70 – x

(x – 4): (70 – x + 4) = 3: 4

=> x = 34

Required ratio = (x + 6): (70 – x – 6)

= 40: 30 = 4: 3


35) Answer: B

Let present age of A = a, present age of B =b

It is given that, a+5+b+5=60

a+b=50

It is also given that,

a-4/b+4 = 9/16

16a-64= 9b+36

16a-9b =100

By solving the above equations we get, a=22, b=28

Present age of B=28 years


36) Answer: D

Present age of Sam = x

=> Age of Sam 5 years ago = x – 5

Age of Naren 2 years ago = 4x – 20

Present age of Naren = 4x – 20 + 2 = 4x – 18

4x – 18 = 250/100 * x

=> x = 12 = Age of Sam


37) Answer: D

S = 7x + 8

F = 6x + 8

7x + 8 – 6 = 75/100 * (6x + 8 + 8)

28x + 8 = 18x + 48

x = 4

Sureka = 7 * 4 + 8 = 36

Francis = 6 * 4 + 8 = 32

Sureka + Francis + Dev = 32 * 3 = 96

Dev = 96 – 36 – 32 = 28


38) Answer: C

Let P be the present age of Pinky, B be the present age of Blacky and W be the present age of Whitey

P = 2x – 8

B = 3x – 8

P – 4 = B/2

2P – 8 = B

2 * (2x – 8) – 8 = 3x – 8

4x – 16 – 8 = 3x – 8

x = 16

P = 32 – 8 = 24

B = 48 – 8 = 40

W = (24 + 40) * 125/100 = 80

Required answer = 80 + 5 = 85 years


39) Answer: B

Amol = 4x and Sanu = 5x

Sanam = 5 + 5x

Sanam after 5 years = 5 + 5x + 5 = 5x + 10

Sam after 5 years = 6/7 * (5x + 10) = 30x/7 + 60/7

Sam’s present age = 30x/7 + 60/7 – 5 = 30x/7 + 25/7

4x + 5x + 5x + 5 + 30x/7 + 25/7 = 25 * 4

=> 128x = 640

=> x = 5

Sanu = 5x = 25 years


40) Answer: B

Rani = 4x

Vani = 5x

Sana = [4/3 * (5x + 5)] – 5 = 20x/3 + 20/3 – 5

Sana – Rani = 15

(20x/3 + 20/3 – 5) – 4x = 15

20x – 12x = 15*3 – 5

20x – 12x = 40

x =5

Vani = 5*5 = 25

Sana = 4/3 * (5 * 5 + 5) – 5 = 35

Required average = (25 + 35)/2 = 30 years

 

Start Quiz

 

41) After 10 years, the ratio of age of Ganga and Senthil will be 13: 15 respectively. If the average of present ages of Ganga and Senthil is 18 years and the ratio of present ages of Ganga and Saravanan is 8: 9, then find the present age of Saravanan.

A.12 years

B.16 years

C.18 years

D.20 years

E.None of these


42) 10 years ago the age of A is the age B 4 years ago and Age of C after 7 years is 15years. If Present average age of them is 16years, then find the sum of the ages of A and C after 3 years?

A.32 years

B.37 years

C.27 years

D.42 years

E.47 years


43) After eight years the age of A is 28.56% more than its present age and two years before the age ratio of B and C is 5:6.If Age of B after 7 years is 40% more than that of A then find the present age of C?

A.54 years

B.48 years

C.45 years

D.50 years

E.58 years


44) 4 years ago, the average age of A, B and C was 48 years and the sum of age of A and B after 6 years is 100. Find the present age of C.

A.80 years

B.49 years

C.52 years

D.68 years

E.None of these


45) 5 years hence, the ratio of age of Anusha and Kavin is 3: 4. 8 years ago, the ratio of age of Anusha and Kavin is 2: 7. Then find the age of Kavin, 10 years hence?

A.32 years

B.30 years

C.23 years

D.27 years

E.None of these


46) Ratio of the ages of A and B is 3: 2 and the ratio of the ages of A after 5 years and B, 2 years ago is 2: 1. What is the average age of A and B after 10 years?

A.22.5 years

B.36.5 years

C.28.5 years

D.32.5 years

E.None of these


47) The ratio of the ages of Anusha to Bavi after 6 years is 4:5 and the difference between the ages of Anusha and Bavi after 12 years ago is 9 years. If the ratio of the ages of Anusha to Ravi is 3:4, then what is Ravi’s age after 5 years?

A.45 years

B.53 years

C.41 years

D.57 years

E.65 years


48) The ratio of the present ages of Divya to that of Sara is 9: 11. Siva is 2 years older than Sara. Siva’s age after 9 years will be 44 years. What is the present age of Divya’s mother, who is 26 years older than Divya?

A.44 years

B.53 years

C.46 years

D.43 years

E.None of these


49) The current age of Naren is 10% more than that of Nakul. Ten years ago, the difference between their ages was 3 years. Find the current age of Nakul.

A.15

B.20

C.25

D.30

E.None of these


50) Average age of (k – 14) students of a class is 18 years. If the age of 53 years old teacher is included, then average age of group in increased by 1 year.Find (k – 10.5) % of 7500.

A.2712.50

B.2812.50

C.2912.25

D.2812.25

E.None of these

 

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Answers :

41) Answer: C

Present age of Ganga = 13x – 10

Present age of Senthil = 15x – 10

(13x – 10) + (15x – 10) = 18 * 2

=> x = 2

Ganga’s age = 16 years

Age of Saravanan = 9/8 * 16 = 18 years


42) Answer: B

Let present age of A =a, B=b, C=c

It is given that,

(a-10)=(b-4)

(a-b) =6

Age of C after 7 years

c+7 =15

Present age of C =15-7 =8

Average age of them =16 years

Total age of them = 16*3 =48years

a+ (a-6)+8 =48

2a -6 = 40

a=23years

Required sum = 23+3 + 8+3 = 37 years


43) Answer: D

Let present age of A =7x

After 8 years age of A = 128.56% of 7x = 9x

7x+8 =9x

x=4

Present age of A =7x =28 years

Age of B after 7 years = 140% of (28+7) = 49

Present age of B = 49 – 7 =42 years

Age of B before 2 years = 40

Age of C before 2 years = (40/5) * 6=48 years

Present age of C =50years


44) Answer: D

Total age of (A + B + C) 4 years ago = 48 x 3 = 144

Total of present age of (A + B + C) = 144 + 12 = 156

But, according to the question (A + B) after 6 years = 100

So, sum of present age of (A + B) = 100 – 12 = 88 years

Thus, the present age of C = 156 – 88 = 68 years.


45) Answer: E

5 years hence, the ratio of age of Anusha and Kavin = 3: 4 (3x, 4x)

8 years ago, the ratio of age of Anusha and Kavin = 2: 7

According to the question,

(3x – 13)/(4x – 13) = (2/7)

21x – 91 = 8x – 26

13x = 65

x = 5

The age of Kavin, 10 years hence = 4x + 5 = 25 years


46) Answer: D

(3x + 5)/(2x – 2) = 2/1

4x – 4 = 3x + 5

x = 9

A’s age = 3 * 9 = 27 years

B’s age = 2 * 9 = 18 years

Required average = (27 + 18 + 20)/2 = 32.5 years


47) Answer: A

5x – 4x = 9 years

x = 9

Anusha’s age after 6 years = 4 * 9 = 36 years

Present age of Anusha = 36 – 6 = 30 years

Present age of Ravi = 4/3 * 30 = 40 years

Ravi’s age after 5 years = 40 + 5 = 45 years


48) Answer: B

Siva’s present age = 44 – 9 = 35 years

Sara’s present age = 35 – 2 = 33 years

From the ratio = 9: 11, we get Divya’s age = 27 years

Present age of Divya’s mother = 27 + 26 = 53 years


49) Answer: D

Current age of Nakul = x years

Current age of Naren = 1.1x years

1.1x – x = 3

=> x = 30 years = Age of Nakul


50) Answer: B

Sum of ages of all students = 18 x (k – 14) = 18k – 252

When teacher is included, sum of ages of all = 19 x (k – 14 + 1) = 19k – 247

According to question

(19k – 247) – (18k – 252) = 53

k = 53 – 5 = 48

Required value = (48 – 10.5) % of 7500 = 2812.5

 

Start Quiz

 

51) 2 years ago, Age of Naren was four times the age of Sam 5 years ago. If the present age of Naren is 150% more than the present age of Sam, then what is the age of Sam?

A.6

B.8

C.10

D.12

E.None of these


52) The sum of the present ages of P and Q is 70 years. If the ratio of the age of P 4 years ago and the age of Q 4 years hence is 3: 4 respectively, then find the ratio of age of P 6 years hence to the age of Q 6 years ago.

A.1: 2

B.2: 1

C.3: 4

D.4: 3

E.None of these


53) Average age of Anil, Mathavi and Merlin is 26 years. If the present age of Mathavi is two times of the age of Merlin 6 years ago and the present age of Anil is 12 years more than Mathavi, then what is the present age of Merlin?

A.12 years

B.18 years

C.15 years

D.22 years

E.24 years


54) The sum of the present ages of mother and daughter is 51 years. Six years ago, mother’s age is 12 times of the age of daughter at that time and the ratio of the age of mother to father is 14:15, then find the difference between the age of Daughter and father.

A.30 years

B.32 years

C.33 years

D.27 years

E.36 years


55) Yuvi’s present age is 33(1/3)% of the sum of the present age of Som and Ramya. If the present age of Som is 25% more than the present age of Ramya, then what is the ratio of the present age of Yuvi, Ramya and Som?

A.1:2:3

B.2:3:4

C.3:4:6

D.5:6:7

E.None of these


56) Four years hence, Mala will be 5 times of her daughter’s age and four years ago, the ratio of the age of Mala and her daughters is 6:1. What is the present age of Mala’s daughter?

A.32

B.36

C.48

D.28

E.24


57) The average ages of Amala and Vimala is 28 years. If the ratio of the ages of Amala 12 years hence and the age of Vimala 8 years ago is 3:2, then find the present age of Amala?

A.22

B.20

C.26

D.28

E.24


58) Ratio of the ages of A and B is 7:8 and the ratio of the ages of B and C is 5:6. If the average age of A, B, C and D is 40 years, then find the present age of D?

A.20

B.35

C.25

D.19

E.Cannot be determined


59) 5 years ago, the average age of Chinnu and Nani is 23. At present, the ratio between their ages is 15:13. Find the Chinnu age after 10 years?

A.50 years

B.45 years

C.60 years

D.40 years

E.35 years


60) The present age of a father is 100% more than the present age of his son. 10 years ago, the age of father is 200% more than as that of his son. What will be the ratio of the ages of father and son after 15 years from now?

A.9:5

B.11:7

C.10:7

D.8:3

E.12:7

 

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Answers :

51) Answer: D

Present age of Sam = x

=> Age of Sam 6 years ago = x – 5

Age of Naren 2 years ago = 4x – 20

Present age of Naren = 4x – 20 + 2 = 4x – 18

4x – 18 = 250/100 * x

=> x = 12 = Age of Sam


52) Answer: D

Let the age of P = x. Age of P and Q = 70

Age of Q = 70 – x

(x – 4): (70 – x + 4) = 3: 4

=> x = 34

Required ratio = (x + 6): (70 – x – 6)

= 40: 30 = 4: 3

 

53) Answer: B

Anil + Mathavi + Merlin = 26 * 3 = 78

Mathavi = 2 * (Merlin – 6)

Anil – Mathavi = 12

Anil = 12 + 2Merlin – 12

Merlin + 2Merlin – 12 + 2Merlin = 78

5 Merlin = 90

Merlin = 18 years


54) Answer: E

M + D = 51—–(1)

M – 6 = 12 * (D – 6)

M – 6 = 12D – 72

12D – M = 66—–(2)

13D = 117

D = 9

M = 51 – 9 = 42

F = 42 * 15/14 = 45

Difference = 45 – 9 = 36 years


55) Answer: E

Som = 125/100 * Ramya

Som/Ramya = 5/4

(5K + 4K) * 100/300 = Yuvi

Yuvi = 3k

Required ratio = 3K:4K:5K

= 3:4:5


56) Answer: B

M + 4 = 5(D + 4)

M + 4 = 5D + 20

M – 5D = 16 —–(1)

(M – 4)/(D – 4) = 6/1

6D – 24 = M – 4

6D – M = 20 ——-(2)

D = 36


57) Answer: E

Amala + Vimala = 28 * 2 = 56——(1)

(Amala + 12)/(Vimala – 8) = 3/2

3Vimala – 24 = 2Amala + 24

3Vimala – 2Amala = 48—–(2)

From (1) and (2)

Vimala = 32

Amala = 56 – 32 = 24


58) Answer: E

Ratio of the ages of A, B and C = 35:40:48

35x + 40x + 48x + D = 40 * 4

We can’t find the answer


59) Answer: D

5 years ago, their average age is 23

therefore total age = 23*2 = 46

present age of Chinnu and Nani = 46+5+5 = 56

Chinnu age = 15/28*56 = 30

after 10 years = 30+10 = 40 years


60) Answer: B

Present age of son = x

Present age of father = 200/100 * x = 2x

(x – 10)/(2x – 10) = 100/300

2x – 10 = 3x – 30

x = 20

Present age of father = 2 * 20 = 40

Required ratio = (40 + 15):(20 + 15)

= 55:35

= 11:7

 

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This post was last modified on February 3, 2024 12:52 pm