Seema’s present age is four times her son’s present age and four-seventh of her father’s present age. The average of the present ages of all three of them is 32 years. What is the difference between the Seema’s son’spresent age and Seema’s father’s presentage ?

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BANK PO Exam (Bank Of Maharashtra) 2010 click here to view all questions

Seema’s present age is four times her son’s present age and four-seventh of her father’s present age. The average of the present ages of all three of them is 32 years. What is the difference between the Seema’s son’spresent age and Seema’s father’s presentage ?

A44 years

B48 years

C46 years

DCannot be determined

Nithin K ? May 21 '2017 at 21:23

Answer is 48 years

Explanation:   

Let Seema’s son’s present age = x years

\(\therefore\) Seema’s present age = 4x years

Seema’s husband’s present age

\(= 4x ×\frac{7}{4} = 7x \text { years}\)

\(\therefore x + 4x + 7x = 32 × 3\)

\(=>12x = 96\)   \(=>x = \frac{96}{12}= 8\)

\(\therefore \) Required difference

= 7x - x = 6x

= 6 × 8 = 48 years

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The average weight of 45 students in a class was calculated as 36 kg. It was later found that the weight of two students in the class was wrongly calculated. The actual weight of one of the boys in the class was 32 kg.,but it was calculated as 34 kg. and the weight of another boy in the class was 45kg. whereas it was calculated as 40 kg.What is the actual average weight of the 45 students in the class ?(Rounded off to two-digits after decimal)

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BANK PO Exam (PNB Bank) 2010 click here to view all questions

The average weight of 45 students in a class was calculated as 36 kg. It was later found that the weight of two students in the class was wrongly calculated. The actual weight of one of the boys in the class was 32 kg.,but it was calculated as 34 kg. and the weight of another boy in the class was 45kg. whereas it was calculated as 40 kg.What is the actual average weight of the 45 students in the class ?(Rounded off to two-digits after decimal)

A36.07 kg.

B36.16 kg.

C35.84 kg.

DCannot be determined

Nithin K ? May 21 '2017 at 19:31

Answer is 36.07 kg.

Explanation:

Actual weight of all the students

\(= 36 × 45 - 34 + 32 - 40 + 45\)

\(= 1620 + 3 = 1623 kg.\)

Actual average weight

\(= \frac{1623}{45}\)

\(= 36.07kg.\)

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The average of five numbers is 56. If theaverage of first four numbers is 54, what isthe value of the fifth number ?

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BANK PO Exam (Bank Of India) 2010 click here to view all questions

The average of five numbers is 56. If theaverage of first four numbers is 54, what isthe value of the fifth number ?

A68

B72

C56

D64

Nithin K ? May 21 '2017 at 16:20

Answer is  : 64

Explanation:

Fifth number = 5 × 56 - 4 × 54

= 280 - 216

= 64

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Ram’s present age is three times his son’s present age and two-fifth of his father’s present age. The average of the present ages of all of them is 46 years. What is the difference between the Ram’s son’s present age and Ram’s father’s present age ?

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BANK PO Exam (Bank Of Baroda) 2010 click here to view all questions

Ram’s present age is three times his son’s present age and two-fifth of his father’s present age. The average of the present ages of all of them is 46 years. What is the difference between the Ram’s son’s present age and Ram’s father’s present age ?

A 68 years

B88 years

C78 years

DCannot be determined

Nithin K ? May 21 '2017 at 15:55

Answer is  78 years

Explanation

Present age of Ram’s son = x years

Ram’s present age = 3x years

Ram’s father’s present age =  \(3x × \frac{5}{2}\)

\(= \frac{15x}{2}\) years 

 \(\therefore x + 3x + \frac{15x}{2}= 46 × 3\)

\(=> 23x = 46 × 3 × 2\)

\(\implies x = 12\)

\(\text{Required difference}\)

\(=\frac{15x}{2}- x = \frac{13x}{2}\)

\(= \frac{13 \times 12}{2}= 78 \text{ years}\)

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The average age of seven boys sitting in arow facing North is 26 years. If the average age of first three boys is 19 years and the average age of last three boys is 32 years,what is the age of the boy who is sitting in middle of the row ?

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BANK PO Exam (Punjab And Sind Bank) 2010 click here to view all questions

The average age of seven boys sitting in arow facing North is 26 years. If the average age of first three boys is 19 years and the average age of last three boys is 32 years,what is the age of the boy who is sitting in middle of the row ?

A 28 years

B29 years

C 24 years

D31 years

Nithin K ? May 21 '2017 at 12:17

Answer is : 29 years

Explanation   

Age of the fourth boy = \((26 \times 7 - 3 \times 19 - 3 \times 32) \)years

= \((182 - 57 - 96) \)years

= \(29\) years

 

 

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The average age of 80 boys in a class is 15 years. The average age of a group of 15 boys in the class is 16 years and the average age of another 25 boys in the class is 14 years.What is the average age of the remaining boys in the class ?

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BANK PO Exam (Corporation Bank) 2010 click here to view all questions

The average age of 80 boys in a class is 15 years. The average age of a group of 15 boys in the class is 16 years and the average age of another 25 boys in the class is 14 years.What is the average age of the remaining boys in the class ?

A15.25 years

B14 years

C14.75 years

DCannot be determined

Akilesh Kharvi ? May 20 '2017 at 12:31

Answer is : 15.25 years

Explanation:

Let the required average age be x years.

\(80 × 15 = 15 × 16 + 25 × 14 + 40 × x\)

\(=> 40x =1200 - 240 - 350 = 610\)

\(x = \frac{610}{40}\)

= 15.25 years

 

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The total marks obtained by a student in Physics, Chemistry and Mathematics together is 120 more than the marks obtained by him in Chemistry. What are the average marks obtained by him in Physics and Mathematics together ?

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BANK PO Exam (Allahabad Bank) 2010 click here to view all questions

The total marks obtained by a student in Physics, Chemistry and Mathematics together is 120 more than the marks obtained by him in Chemistry. What are the average marks obtained by him in Physics and Mathematics together ?

A60

B120

C40

DCannot be determined

Akilesh Kharvi ? May 20 '2017 at 11:36

Answer is : 60

Explanation:

 \(\text{Required average = } \frac{120}{2}= 60\)

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