Four years ago, Shyam's age was 3/4 times of that of Ram. Four year hence, Shyam's age will be 5/6 times that of Ram. What is the present age of Shyam?

Report

Report an issue

Name

Email

Message

Submit

Cancel

BANK PO Exam (Corporation Bank) 2009 click here to view all questions

Four years ago, Shyam's age was 3/4 times of that of Ram. Four year hence, Shyam's age will be 5/6 times that of Ram. What is the present age of Shyam?

A15 yr

B20 yr

C16 yr

D24 yr

Nithin ? Aug 14 '2022 at 21:12

Correct answer: 16 yr

Explanation:

4 yr ago, let Ram's age = x yr and Shyam's age = \(\frac{3}{4}x\) yr

 

Now, Ram's present age = (x + 4) yr and Shyam's present age = (\(\frac{3}{4}x\)+4) yr
According to the question,
\(\large\frac{5}{6}(x + 4 + 4) = \left(\frac{3}{4}x + 4 + 4\right)\)

4 (5x + 40) = 6(3x + 32)

20x + 160 = 18x + 192

2x = 32

x = 16

Hence, present age of Shyam

\(= \large\frac{3}{4}\times 16 + 4\)

\(=16 \text{ yr}\)

View Answer

Discuss

The present ages of Amit and his father are in the ratio of 2 : 5 respectively. Four years hence the ratio of their ages will become 5 : 11 respectively. What was the father's age five years ago?

Report

Report an issue

Name

Email

Message

Submit

Cancel

BANK PO Exam (Andhra Bank) 2009 click here to view all questions

The present ages of Amit and his father are in the ratio of 2 : 5 respectively. Four years hence the ratio of their ages will become 5 : 11 respectively. What was the father's age five years ago?

A 40 yr

B45 yr

C30 yr

D35 yr

Nithin ? Aug 14 '2022 at 21:1

Correct answer is: 35 yr

Explanation:

Suppose the present age of Amit and his father is 2x and 5x respectively.
After 4 years the ratio of their ages,

(2x+4):(5x+4)= 5:11
\(25x + 20 = 22x+44\)

\(25x-22x=44-20\)

\(3x=24\)

\(x=8\)

Age of his father before 5 years

\(=5x-5\)

\(=5 \times 8 -5\)

\(= 40 - 5\)

= 35 yr

View Answer

Discuss

Ratio of Rams and Komars age is 3 : 5 respectively. Ratio of Komal's and Pooja's age is 2 : 3 respectively. If Rani is two-fifth of Pooja's age. what is Rani's age?

Report

Report an issue

Name

Email

Message

Submit

Cancel

BANK PO Exam (Indian Overseas Bank) 2009 click here to view all questions

Ratio of Rams and Komars age is 3 : 5 respectively. Ratio of Komal's and Pooja's age is 2 : 3 respectively. If Rani is two-fifth of Pooja's age. what is Rani's age?

A10 years

B15 years

C24 years

DCannot be determined

Nithin ? Aug 14 '2022 at 16:38

Correct answer is: Cannot be determined

Explanation:

Rani : Komal = \(3 : 5 = 6 : 10\)

Komal : Pooja = \( 2 : 3 = 10 : 15\)

Therefore, Rani : Kornal : Pooja = \(6 : 10 : 15\)

We have insufficient data to solve this question.

View Answer

Discuss

The ratio of the age of a father and son is 17 : 7 respectively. 6 years ago the ratio of their age was 3 : 1 respectively. What is the father's present age?

Report

Report an issue

Name

Email

Message

Submit

Cancel

BANK PO Exam (UCO Bank) 2009 click here to view all questions

The ratio of the age of a father and son is 17 : 7 respectively. 6 years ago the ratio of their age was 3 : 1 respectively. What is the father's present age?

A64 yrs

B51 yrs

C48 yrs

DCannot be determined

Nithin ? Aug 14 '2022 at 15:52

Correct answer is: 51 yrs

Explanation:

Let the present age of father and son be 17x years and 7x years respectively.

According to the question,

\(\Large \frac{17x-6}{7x-6}=\frac{3}{1}\)
\(\implies 21x - 18 = 17x - 6\)
\(\implies 21x - 17x = 18 - 6\)

\(\implies 4x = 12\)

\(=> x = \frac{12}{4} = 3\)

\(\text{Therefore, Father's present age} = 17×3 = 51 \text{ years}\)

View Answer

Discuss

The age of Sonal and Nitya are in the ratio of 9 : 5 respectively. After 8 years the ratio of their ages will be 13 : 9. What is the difference in years between their ages?

Report

Report an issue

Name

Email

Message

Submit

Cancel

BANK PO Exam (Oriental Bank of Commerce) 2008 click here to view all questions

The age of Sonal and Nitya are in the ratio of 9 : 5 respectively. After 8 years the ratio of their ages will be 13 : 9. What is the difference in years between their ages?

A4 years

B12 years

C6 years

DNone of these

Nithin ? Aug 14 '2022 at 15:40

Correct answer is: None of these

Explanation:

The age of Sonal and Nitya are in the ratio of 9:5 respectively

Let x be an arbitrary constant,

Age of Sonal is 9x and age of Nitya is 5x.

After 8 years the ratio of their age is 13 : 9

Now,

After 8 years Sonal’s age will be (9x + 8)

After 8 years Nitya’s age will be (5x + 8)

According to the question

\(\frac{{\left( {9x\; + \;8} \right)}}{{\left( {5x\; + \;8} \right)}}\; = \;\frac{{13}}{9}\)

\(⇒ 81x + 72 = 65x + 104\)

\(⇒ 16x = 32\)

\(⇒ x = 2\)

Sonal’s age is 9 × 2 = 18 years

Nitya’s age is 5 × 2 = 10 years

And their age difference is (18 - 10) years = 8 years

View Answer

Discuss

The ages of Sulekha and Arunima are in the ratio 9 : 8 respectively. After 5 years, the ratio of their ages will be 10 : 9. What is the difference in their ages ?

Report

Report an issue

Name

Email

Message

Submit

Cancel

BANK PO Exam (Andhra Bank) 2008 click here to view all questions

The ages of Sulekha and Arunima are in the ratio 9 : 8 respectively. After 5 years, the ratio of their ages will be 10 : 9. What is the difference in their ages ?

A4 years

B5 years

C6 years

D7 years

Nithin ? Aug 14 '2022 at 11:47

Correct answer is: 5 years

Explanation:

Let Sulekha age be 9 year,
Then Arunima's age = 8x years

\(\eqalign{ & \frac{{9x + 5}}{{8x + 5}} = \frac{{10}}{9} \cr & \Rightarrow 9\left( {9x + 5} \right) = 10\left( {8x + 5} \right) \cr & \Rightarrow 81x + 45 = 80x + 50 \cr & \Rightarrow x = 5 \cr}\)

Difference in their ages
= (9x - 8x) years
= x years
= 5 years

View Answer

Discuss

The ratio between the adjacent angles of a parallelogram is 7 : 8 respectively. Also the ratio between the angles of quadrilateral is 5 : 6 : 7 : 12. What is the sum of the smaller angle of parallelogram and second largest angle of the quadrilateral?

Report

Report an issue

Name

Email

Message

Submit

Cancel

BANK PO Exam (Indian Overseas Bank) 2011 click here to view all questions

The ratio between the adjacent angles of a parallelogram is 7 : 8 respectively. Also the ratio between the angles of quadrilateral is 5 : 6 : 7 : 12. What is the sum of the smaller angle of parallelogram and second largest angle of the quadrilateral?

A168°

B228°

C156°

D224°

Nithin ? Aug 14 '2022 at 11:8

Correct answer is: 168°

Explanation:

 

Let the adjacent angles be \(7x^∘\text{and }8x^∘\)

Therefore, 7x + 8x = 180

=> 15x = 180

=> x = 12

Therfore, Smaller angle = 7 x 12 = 84°

Again. 5y + 6y + 7y + 12y = 360°

=> 30y = 360°

= y = \(\frac{360}{30}\)

Therefore, Second largest angle of the quadrilateral

= 7×12 = \(84^o\)

 

Therefore, Required sum = \(84 + 84 = 168^o\)

View Answer

Discuss