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Jack is now twice as old as Femina, who is two years older than Suresh. Four years ago, Jack was four times as old as Suresh. How old is Jack now?
  • a)
    18
  • b)
    12
  • c)
    16
  • d)
    20
  • e)
    24
Correct answer is option 'D'. Can you explain this answer?

Kishan Singh answered
Let the age of SURESH = X
age of FEMINA = X + 2
age of JACK = 2 ( X + 2 ) = 2X +4

four years ago,
JACK age =( 2X +4 )- 4 = 2X
SURESH age = X - 4

A/Q -
2X = 4 ( X - 4 )
=> X = 8
JACK present age = 2 (X +2)= 20 year . option( D)

Ravi is now 4 years older than Emma and half of that amount older than Ishu. If in 2 years, Ravi will be twice as old as Emma, then in 2 years what would be Ravi’s age multiplied by Ishu’s age?
  • a)
    68
  • b)
    28
  • c)
    48
  • d)
    50
  • e)
    52
Correct answer is option 'C'. Can you explain this answer?

Anaya Patel answered
Ravi – x + 4
Emma – x
Ishu – x + 2
(Ravi 4 years older than Emma & 2 years older than Ishu)
Ages after 2 yrs
Ravi – x + 6
Emma – x + 2
Ishu – x + 4
x+6 = 2(x + 2)
x = 2
Ravi * Ishu = 8 * 6 = 48

Lilly is 5 years older than Martin, and Catherine is twice as old as Lilly. If the sum of their ages is 95, how old is Lilly?
  • a)
    26
  • b)
    27
  • c)
    28
  • d)
    25
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Aarav Sharma answered
To solve this problem, we can use algebraic equations. Let's assign variables to the ages of Lilly, Martin, and Catherine.

Let:
L = Lilly's age
M = Martin's age
C = Catherine's age

Given information:
Lilly is 5 years older than Martin: L = M + 5
Catherine is twice as old as Lilly: C = 2L
The sum of their ages is 95: L + M + C = 95

Now we can substitute the values of L and C from the first two equations into the third equation to solve for M.

(M + 5) + M + 2(M + 5) = 95
M + 5 + M + 2M + 10 = 95
4M + 15 = 95
4M = 80
M = 20

Now that we know Martin's age is 20, we can substitute this value back into the first equation to find Lilly's age.

L = M + 5
L = 20 + 5
L = 25

Therefore, Lilly is 25 years old. So the correct answer is option D.

Suresh got married 8 years ago. His present age is 6/5 times his age at the time of his marriage Suresh’s sister was 10years younger to him at the time of his marriage. The present age of Suresh’s sister is 
  • a)
    36
  • b)
    37
  • c)
    38
  • d)
    35
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Aarav Sharma answered
Let's say Suresh's age at the time of his marriage is x years.
According to the given information, 6/5 times x is Suresh's present age.
So, 6/5 * x = Suresh's present age.

Since Suresh got married 8 years ago, his present age is x + 8.

Therefore, we can write the equation as follows:
6/5 * x = x + 8.

To solve this equation, we can multiply both sides by 5 to get rid of the fraction:
5 * 6/5 * x = 5 * (x + 8).
6x = 5x + 40.

Now, we can simplify the equation:
6x - 5x = 40.
x = 40.

Therefore, Suresh's age at the time of his marriage was x = 40 years.
And his present age is 6/5 times his age at the time of his marriage, which is:
6/5 * 40 = 48 years.

So, Suresh's present age is 48 years.

Arun will be half as old as Lilly in 3 years. Arun will also be one-third as old as James in 5 years. If James is 15 years older than Lilly, how old is Arun?
  • a)
    6
  • b)
    8
  • c)
    9
  • d)
    5
  • e)
    4
Correct answer is option 'B'. Can you explain this answer?

Aisha Gupta answered
let age of Arun =x, Lilly =y James = z
(x+3) =1/2 *(y+3) so we have 2x-y =-3 -(1)
(x+5) =1/3 * (z+5) ; ⇒ 3x-z=-10 -(2)
From (1)&(2) we get, x+y-z =-7 -(3)
we have z =15+y – (4)
from equation 3 and 4 we get x=8

Mr. Sharma has three sons namely Ram, Amit and Karan. Ram is the eldest son of Mr. Sharma while Karan is the youngest one. The present ages of all three of them are square numbers. The sum of their ages after 5 years is 44. What is the age of Ram after three years?
  • a)
    15 years
  • b)
    13 years
  • c)
    19 years
  • d)
    17 years
  • e)
    16 years
Correct answer is option 'C'. Can you explain this answer?

Aarav Sharma answered
Problem Analysis:

We are given that Ram is the eldest son of Mr. Sharma and Karan is the youngest. Also, the present ages of all three of them are square numbers. We need to find the age of Ram after three years.

Given:

Ram, Amit and Karan are the three sons of Mr. Sharma.

Ram is the eldest son of Mr. Sharma.

Karan is the youngest son of Mr. Sharma.

The present ages of all three of them are square numbers.

The sum of their ages after 5 years is 44.

To Find:

The age of Ram after three years.

Solution:

Let’s assume that the present age of Ram is x^2, Amit is y^2, and Karan is z^2.

From the given conditions, we know that:

x > y > z

x, y, and z are square numbers.

After 5 years, their ages would be (x^2+5), (y^2+5), and (z^2+5).

According to the problem, the sum of their ages after 5 years is 44.

(x^2+5) + (y^2+5) + (z^2+5) = 44

x^2 + y^2 + z^2 = 24

As x, y, and z are square numbers, we can try to find the squares that add up to 24. We can use trial and error method for this.

We get the following values of x, y, and z:

x = 4, y = 2, z = 2

x^2 = 16, y^2 = 4, z^2 = 4

Therefore, Ram’s present age is 16 years.

The age of Ram after three years would be:

Ram’s age after three years = 16+3 = 19 years.

Therefore, option (c) is the correct answer.

Final Answer:

The age of Ram after three years is 19 years.

Ravi is as much younger than Surya as he is older than Suresh. If the sum of the ages of Surya and Suresh is 50 years, what is definitely the difference between Surya and Ravi’s age?
  • a)
    12 years
  • b)
    23 years
  • c)
    19 years
  • d)
    27 years
  • e)
    Can not be determined
Correct answer is option 'E'. Can you explain this answer?

Faizan Khan answered
Surya’s age – Ravi’s age = Ravi’s age – Surya’s age
Suresh’s age + Surya’s age = 2 Ravi’s age
Surya’s age + Suresh’s age = 50
Ravi’s age = 25; We can not find the difference between Surya and Ravi’s age

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