Amit's present age is three times pratibha's present age and nine thirteenth of his father's present age. The sum of the present age of all of them is 150 years. What is the difference between pratibha's present age and Amit's father's present age ?

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Amit's present age is three times pratibha's present age and nine thirteenth of his father's present age. The sum of the present age of all of them is 150 years. What is the difference between pratibha's present age and Amit's father's present age ?

A56 years

B64 years

C60 years

DCannot be determined

Nithin K ? May 24 '2017 at 21:50

Answer is  60 years

Explanation:

Pratibha’s present age = x years

Amit’s present age = 3x years

Father’s present age

\(= \frac{3x \times 13}{9} = \frac{13x}{3} years\)

\(\therefore x + 3x + \frac{13x}{3}= 150\)

=> 3x + 9x + 13x = 150 × 3

=> 25x = 150 × 3

=> \(= \frac{150\times3}{25}= 18\)

\(\text{Required difference }\)

\(=\frac{ 13x}{3}- x = \frac{10x}{3}\)

\(= \frac{10}{3}× 18 = 60 \text { years}\)

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The average marks in English subject of a class of 24 students is 56. If the marks of three students were misread as 44, 45 and61 of the actual marks 48, 59 and 67 respectively, then what would be the correct average ?

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

The average marks in English subject of a class of 24 students is 56. If the marks of three students were misread as 44, 45 and61 of the actual marks 48, 59 and 67 respectively, then what would be the correct average ?

A56

B55

C57.5

D57

Nithin K ? May 24 '2017 at 20:51

Anwer is : 57

Explanation:

Difference = 48 + 59 + 67 - 44 - 45 - 61= 24

Correct average = \(56+ \frac{ 24}{24} = 57\)

 

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The sum of 8 consecutive odd numbers is 656. Also average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number ?

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BANK PO Exam (Bank Of Baroda) 2011 click here to view all questions

The sum of 8 consecutive odd numbers is 656. Also average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number ?

A165

B175

C163

DCannot be determined

Nithin K ? May 23 '2017 at 19:16

Answer is :  163

Explanation:

x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10+ x + 12 + x + 14 = 656

 8x + 56 = 656

 8x = 600

\( x = \frac{600}{8} = 75\)

and,

x + x + 2 + x + 4 + x + 6 = 87 × 4

\(=>4x + 12 = 348\)

\(=> 4x = 336\)

\(\implies x = \frac{336}{4} = 84\)

Required sum = 75 + (84 + 4) = 163

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Average score of Rahul, Manish and Sureshis 63. Rahul’s score is 15 less than Ajay and 10 more than Manish. If Ajay scored 30 marks more than the average score of Rahul, Manish and Suresh, what is the sum of Manish’s and Suresh’s scores ?

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Average score of Rahul, Manish and Sureshis 63. Rahul’s score is 15 less than Ajay and 10 more than Manish. If Ajay scored 30 marks more than the average score of Rahul, Manish and Suresh, what is the sum of Manish’s and Suresh’s scores ?

A120

B111

C117

DCannot be determined

Nithin K ? May 23 '2017 at 19:1

Answer is : 111

Explanation:

Ajay’s score = 63 + 30 = 93

Rahul’s score = 93 - 15 = 78

Sum of Manish’s and Suresh’s scores= 3 × 63 - 78

= 189 - 78 = 111

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The sum of eight consecutive even numbers of set-A is 376. What is the sum of different set of five consecutive numbers whose lowest number is 15 more than the mean of set-A ?

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BANK PO Exam (Union Bank of India) 2001 click here to view all questions

The sum of eight consecutive even numbers of set-A is 376. What is the sum of different set of five consecutive numbers whose lowest number is 15 more than the mean of set-A ?

A296

B 320

C324

D 284

Akilesh Kharvi ? Jun 28 '2020 at 10:19

Correct answer is: 320

Explanation:

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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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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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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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