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Ten years ago A was half of B in age. If the ratio of their present ages is 3: 4, what will be the total of their present ages

A.

15

B.

25

C.

45

D.

35

Answer with explanation

Answer: Option DExplanation

Let A’s age 10 years ago = x years.

Then, B’s age 10 years ago = 2x years.

(x + 10) / (2x+ l0) = 3/4

=> x = 5.

So, the total of their present ages =(x + 10 + 2x + 10)

= (3x + 20) = 35 years.

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The ratio of Sara’s age 4 years ago and Vaishali’s age after 4 years is 1: 1. Presently, the ratio of their ages is 5: 3. Find the ratio between Sara’s age 4 years hence and Vaishali’s age 4 years ago.

A.

1 : 3

B.

3: 1

C.

4 : 3

D.

3:4

Answer with explanation

Answer: Option BExplanation

Currently, the ratio of their ages is 5: 3. Suppose, their ages are: 5x and 3x.

Sara’s age 4 years ago = 5x – 4

Vaishali’s age after 4 years = 3x + 4

Ratio of Sara’s age 4 years ago and Vaishali’s age after 4 years is 1 : 1

Therefore,

(5x – 4) / (3x + 4) = 1/1

Solving, we get x = 4

We are required to find the ratio between Sara’s age 4 years hence and Vaishali’s age 4 years ago.

Sara’s age: (5x + 4)

Vaishali’s age: (3x – 4)

Putting the value of x, we get:

(5x + 4) / (3x – 4) = 3/1 = 3:1

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The age of father 10 years ago was thrice the age of his son. Ten years hence, the father’s age will be twice that of his son. The ratio of their present ages is:

A.

5: 2

B.

7 : 3

C.

9: 2

D.

13: 4

Answer with explanation

Answer: Option BExplanation

Let the ages of father and son 10 years ago be 3*x* and *x* years respectively.

Then, (3*x* + 10) + 10 = 2[(*x* + 10) + 10]

3*x* + 20 = 2*x* + 40

*x* = 20.

Required ratio = (3*x* + 10) : (*x* + 10) = 70 : 30 = 7 : 3.

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What is the age of Teja?

A: Four years ago, Raju was as old as Teja is at present.

B: Sita’s present age is two times of Raju’s present age.

C: The average age of Teja and Sita is 19 years.

A.

Any two statements are sufficient to give answer

B.

Only C is sufficient

C.

All of three statements are necessary to give answer

D.

Even using all the three statements answer cannot be found

Answer with explanation

Answer: Option CExplanation

From the given statements A, B & C

Let the present age of Teja = P

Raju present age = P + 4

Sita’s present age = 2(P + 4)

Average of ages of Sita & Teja = 19

=> (2P + 8 + P)/2 = 19

= 3P + 8 = 38

=> P = 30/3 = 10

Hence, the present age of Teja = P = 10 yrs.

Therefore, by using all the three statements A, B & C we can find the age of Teja.

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The average age of Vishal and Raghavendra is 24 years. If a new person Veerender is also included, the average age is increased by 1.5 years. What is the age of Veerender?

A.

28.5 yrs

B.

29.5 yrs

C.

30.5 yrs

D.

27 yrs

Answer with explanation

Answer: Option AExplanation

According to the given data,

(V + R)/2 = 24

Now, after joining of Veerender,

V + R + D)/3 = 25.5

Hence, Veerender Age = 3(25.5) – 2(24) = 76.5 – 48 = 28.5 years.

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Eighteen years ago, a mother was three times as old as her daughter. Now the mother is only twice as old as her daughter. Then the sum of the present ages of daughter and the mother is ?

A.

84 yrs

B.

96 yrs

C.

116 yrs

D.

108 yrs

Answer with explanation

Answer: Option DExplanation

Let the present ages of the mother and daughter be 2x and x years respectively.

Then, (2x – 18) = 3(x – 18) => x = 36

Required sum = (2x + x) = 108 years.

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The ratio between present ages of Renuka and Sony is 5 : 4 . 4 years ago, Sony’s age was 24 years. What will be Renuka’s age after 5 years ?

A.

25

B.

30

C.

35

D.

40

Answer with explanation

Answer: Option DExplanation

Present age of Sony = 24 + 4 = 28 years

After 5 years Renuka’s age = **7×5 + 5 = 40 years**

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5 years ago Sushma was 5 times as old as her Son. 5 years hence her age will be 8 less than three times the corresponding age of her Son. Find their ages ?

A.

24 and 13 years

B.

48 and 24 years

C.

35 and 11 years

D.

33 and 15 years

Answer with explanation

Answer: Option CExplanation

Let the age of sushma be x and

the age of her son is y

Then five years before x-5=5(y-5) …(1)

Five years hence x+5 = 3(y+5)-8 …..(2)

By soving (1) & (2), we get

5y – 15 = 3y + 7

y = 11 => x = 35

Therefore, the age of Sushma = 35 and her son = 11.

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The average age of a class is 15.8 years. The average age of the boys in the class is 16.4 years and that of the girls is 15.4 years. What is the ratio of boys to girls in the class ?

A.

1:3

B.

2:3

C.

3:2

D.

3:1

Answer with explanation

Answer: Option BExplanation

Let number of boys = x , Let number of girls = y

Total numbers of students = x + y

(x + y) × 15.8 = 16.4x + 15.4y

0.6x = 0.4y

x/y = 0.4/0.6 = 2/3

Ratio of boys and girls in the class is 2:3

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Four person A, B, C and D. The sum of their present age is 176. Four years ago ratio of their age was 11: 9 : 6 : 14, then find who is eldest and youngest among them ?

A.

A is eldest & C is youngest

B.

D is eldest & C is youngest

C.

C is eldest & A is youngest

D.

A is eldest & B is youngest

Answer with explanation

Answer: Option BExplanation

Given sum of present ages of A, B, C & D

A + B + C + D = 176

and also given that,

(A-4) : (B-4) : (C-4) : (D-4) = 11 : 9 : 6 : 14

Let the ratio = x

=> A-4 + B-4 + C-4 + D-4 = 11x + 9x + 6x + 14x

=> (A + B + C + D ) – 16 = 40x

=> 176 – 16 = 40x

=> x = 4

=> A = 44 + 4 = 48

=> B = 40

=> C = 28

=> D = 60

Therefore, from the above conclusions

**D is eldest with 60 years and C is youngest with 28 years of ages.**

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The ratio of present ages of X and Y is 4:5. Which of the following can’t be the ratio of ages of X and Y, 20 years ago ?

A.

2 : 5

B.

8 : 15

C.

9 : 10

D.

3 : 5

Answer with explanation

Answer: Option CExplanation

The ratio of X and Y ages at present is 4:5.

Then, the ratio 20 years ago will not be more than the ratio at present.

So, from the options 9:10 is not satifying => its ratio is 0.9 which is greater than presnt ratio of 0.8.

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Ten years ago, Karan was thrice as old as Shiva was but 10 years hence, he will be only twice as old. Find Shiva’s present age ?

A.

70 years

B.

30 years

C.

60 years

D.

40 years

Answer with explanation

Answer: Option BExplanation

Let Karan’s present age be x years and Shiva’s present age be y years.

Then, according to the first condition,

x – 10 = 3(y – 10) or x – 3y = – 20 ..(1)

Now, Karan’s age after 10 years = (x + 10) years

Shiva’s age after 10 years = (y + 10)

(x + 10) = 2 (y + 10) or x – 2y = 10 ..(2)

Solving (1) and (2), we get x = 70 and y = 30

Karan’s age = 70 years and Shiva’s age = 30 years.

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