Question Detail

Difference between a two-digit number and the number obtained by interchanging the two digits is 36, what is the difference between two numbers

Answer: Option B

Explanation:

Let the ten digit be x, unit digit is y.
Then (10x + y) - (10y + x) = 36
=> 9x - 9y = 36
=> x - y = 4.

1. find the number, If 50 is subtracted from two-third of number, the result is equal to sum of 40 and one-fourth of that number.

Answer: Option B

Explanation:

Let the number is x,

$\begin{aligned} => \frac{2}{3}x-50 = \frac{1}{4}x + 40 \end{aligned}$

$\begin{aligned} <=> \frac{2}{3}x-\frac{1}{4}x = 90 \end{aligned}$

$\begin{aligned} <=> \frac{5x}{12} = 90 \end{aligned}$

$\begin{aligned} <=> x = 216 \end{aligned}$

2. A father is twice as old as his son. 20 years ago, the age of the father was 12 times the age of the son. The present age of the father (in years) is

Answer: Option C

Explanation:

Let sons age = x. Then, fathers age = 2x.
12(x—2O) = (2x - 20) so x = 22
Fathers present age = 44 years

3. Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is

Answer: Option C

Explanation:

Let the three integers be x, x+2 and x+4.
Then, 3x = 2(x+4)+3,
x= 11
Therefore, third integer x+4 = 15

4. if the sum of $\begin{aligned} \frac{1}{2} \end{aligned}$ and $\begin{aligned} \frac{1}{5} \end{aligned}$ of a number exceeds $\begin{aligned} \frac{1}{3} \end{aligned}$ of the number by $\begin{aligned} 7\frac {1}{3} \end{aligned}$ , then number is

Answer: Option B

Explanation:

Seems a bit complicated, isnt'it, but trust me if we think on this question with a cool mind then it is quite simple...
Let the number is x,
then,

$\begin{aligned} (\frac{1}{2}x + \frac{1}{5}x) - \frac{1}{3}x = \frac{22}{3} \end{aligned}$

$\begin{aligned} => \frac{11x}{30} = \frac{22}{3} \end{aligned}$

$\begin{aligned} => x = 20 \end{aligned}$

5. Which among following is not a prime number ?

Answer: Option A

dinesh 11 years ago

i need clear description on this problem

Question Detail

Difference between a two-digit number and the number obtained by interchanging the two digits is 36, what is the difference between two numbers

1. find the number, If 50 is subtracted from two-third of number, the result is equal to sum of 40 and one-fourth of that number.

2. A father is twice as old as his son. 20 years ago, the age of the father was 12 times the age of the son. The present age of the father (in years) is

3. Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is

4. if the sum of $\begin{aligned} \frac{1}{2} \end{aligned}$ and $\begin{aligned} \frac{1}{5} \end{aligned}$ of a number exceeds $\begin{aligned} \frac{1}{3} \end{aligned}$ of the number by $\begin{aligned} 7\frac {1}{3} \end{aligned}$ , then number is

5. Which among following is not a prime number ?

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dinesh 11 years ago

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Question Detail

Difference between a two-digit number and the number obtained by interchanging the two digits is 36, what is the difference between two numbers

1. find the number, If 50 is subtracted from two-third of number, the result is equal to sum of 40 and one-fourth of that number.

2. A father is twice as old as his son. 20 years ago, the age of the father was 12 times the age of the son. The present age of the father (in years) is

3. Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is

4. if the sum of 12\begin{aligned} \frac{1}{2} \end{aligned} and 15\begin{aligned} \frac{1}{5} \end{aligned} of a number exceeds 13\begin{aligned} \frac{1}{3} \end{aligned} of the number by 713\begin{aligned} 7\frac {1}{3} \end{aligned}, then number is

5. Which among following is not a prime number ?

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dinesh 11 years ago

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4. if the sum of $\begin{aligned} \frac{1}{2} \end{aligned}$ and $\begin{aligned} \frac{1}{5} \end{aligned}$ of a number exceeds $\begin{aligned} \frac{1}{3} \end{aligned}$ of the number by $\begin{aligned} 7\frac {1}{3} \end{aligned}$ , then number is