Question Detail

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,

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

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

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

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

1. Product of two natural numbers is 17. Then, the sum of reciprocals of their squares is

$\begin{aligned} \frac{290}{289} \end{aligned}$
$\begin{aligned} \frac{1}{289} \end{aligned}$
$\begin{aligned} \frac{290}{90} \end{aligned}$
$\begin{aligned} \frac{290}{19} \end{aligned}$

Answer: Option A

Explanation:

If the numbers are a, b, then ab = 17,
as 17 is a prime number, so a = 1, b = 17.

$\begin{aligned} \frac{1}{a^2} + \frac{1}{b^2} = \frac{1}{1^2} + \frac{1}{17^2} \end{aligned}$

$\begin{aligned} = \frac{290}{289} \end{aligned}$

2. The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is

Answer: Option B

Explanation:

We know

$\begin{aligned} (x + y)^2 = x^2 + y^2 + 2xy \end{aligned}$

$\begin{aligned} => (x + y)^2 = 289 + 2(120) \end{aligned}$

$\begin{aligned} => (x + y) = \sqrt{529} = 23 \end{aligned}$

3. Find the number, when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number

Answer: Option A

Explanation:

Let the number be x.
7x -15 = 2x + 10 => 5x = 25 => x = 5

4. Find the number which when multiplied by 15 is increased by 196

Answer: Option C

Explanation:

Let the number be x.
Then, 15x = x + 196
=› 14 x= 196
=› x = 14.

5. 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

Question Detail

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.

1. Product of two natural numbers is 17. Then, the sum of reciprocals of their squares is

2. The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is

3. Find the number, when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number

4. Find the number which when multiplied by 15 is increased by 196

5. 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

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Question Detail

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.

1. Product of two natural numbers is 17. Then, the sum of reciprocals of their squares is

2. The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is

3. Find the number, when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number

4. Find the number which when multiplied by 15 is increased by 196

5. 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

Thanks ! Your comment will be approved shortly !

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