A. 14 and 26

B. 13 and 27

C. 17 and 17

D. None of these

Solution(By Apex Team)

Let the number of boys and girls in the class are x and y. According to given information, ⇒ 30x + 20y = 23.25 (x + y) ⇒ 30x + 20 y = 23.25x + 23.25y ⇒ 30x – 23.25x = 23.25y – 20y ⇒ 6.75x = 3.25y $\begin{array}{l} \Rightarrow \Large\frac{x}{y}=\frac{3.25}{6.75} \\ \Rightarrow \Large\frac{x}{y}=\frac{13}{27} \end{array}$ Hence, possible number of boys and girls 13 and 27 respectively.

• A grocer has a sale of Rs. 6435, Rs. 6927…

A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?

A. Rs. 4991 B. Rs. 5991 C. Rs. 6001 D. Rs. 6991 Answer: Option A

Solution(By Apex Team)

Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) $\begin{array}{l}\text{= Rs. 34009}\\ \text{∴ Required sale}\\ \text{= Rs. [(6500 × 6) – 34009]}\\ \text{= Rs. (39000 – 34009)}\\ \text{= Rs. 4991}\end{array}$

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A. 20
B. 21
C. 28
D. 32

A. 18
B. 20
C. 24
D. 30

In a family, the average age of a father and a mother is 35 years. The average age of the father, mother and their only son is 27 years. What is the age of the son?

A. 10 years
B. 10.5 years
C. 11 years
D. 12 years

If the arithmetic mean of 0, 5, 4, 3 is a, that of -1, 0, 1, 5, 4, 3 is b and that of 5, 4, 3 is c, then the relation between a, b, and c is.

A. a = b = c
B. a : b : c = 3 : 2 : 4
C. 4a = 5b = c
D. a + b + c = 12

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• In a one-day cricket match the captain of one.

In a one-day cricket match the captain of one of the teams scored 30 runs more than the average runs scored by the remaining six batsman of that team who batted in the match. If the total runs scored by all the batsmen of that team were 310, how many runs did the captain score?

A. 50 B. 60 C. 70 D. Cannot be determined Answer: Option C

Solution(By Apex Team)

Let the average score of the remaining 6 batsmen be x runs. Then, sum of their scroe = 6x Captain’s score = (x + 30) ∴ 6x + (x + 30) = 310 ⇒ 7x = 280 ⇒ x = 40 Hence, captain’s score = x + 30 = 70

Related Questions On Average

A. 20
B. 21
C. 28
D. 32

A. 18
B. 20
C. 24
D. 30

In a family, the average age of a father and a mother is 35 years. The average age of the father, mother and their only son is 27 years. What is the age of the son?

A. 10 years
B. 10.5 years
C. 11 years
D. 12 years

If the arithmetic mean of 0, 5, 4, 3 is a, that of -1, 0, 1, 5, 4, 3 is b and that of 5, 4, 3 is c, then the relation between a, b, and c is.

A. a = b = c
B. a : b : c = 3 : 2 : 4
C. 4a = 5b = c
D. a + b + c = 12

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• In an examination, a pupil’s average mark was 63

In an examination, a pupil’s average mark was 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?

A. 8 B. 9 C. 10 D. 11 Answer: Option D

Solution(By Apex Team)

\begin{array}{l}\text{Let the number of paper be x}\\ \text{Then, pupil’s total score = 63x}\\ \begin{aligned}&\therefore\frac{63x+20+2}{x}=65\\ &\Rightarrow2x=22\\ &\Rightarrow x=11\end{aligned}\end{array}

Related Questions On Average

A. 20
B. 21
C. 28
D. 32

A. 18
B. 20
C. 24
D. 30

In a family, the average age of a father and a mother is 35 years. The average age of the father, mother and their only son is 27 years. What is the age of the son?

A. 10 years
B. 10.5 years
C. 11 years
D. 12 years

If the arithmetic mean of 0, 5, 4, 3 is a, that of -1, 0, 1, 5, 4, 3 is b and that of 5, 4, 3 is c, then the relation between a, b, and c is.

A. a = b = c
B. a : b : c = 3 : 2 : 4
C. 4a = 5b = c
D. a + b + c = 12

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• The average of 8 numbers is 20. The average of first..

The average of 8 numbers is 20. The average of first two numbers is $15 \Large\frac{1}{2}$ and that of the next three is $21 \Large\frac{1}{3}$. If the sixth number be less than the seventh and eighth numbers by 4 and 7 respectively, then the eight number is-

A. 18 B. 22 C. 25 D. 27 Answer: Option C

Solution(By Apex Team)

Let the eight number be x Then, sixth number = (x – 7) Seventh number = (x – 7) + 4 = (x – 3) So, \begin{aligned}&\Leftrightarrow\left(2\times15\frac{1}{2}\right)+\left(3\times21\frac{1}{2}\right)+(x-7)+(x-3)+x=8\times20\\ &\Leftrightarrow31+64+(3x-10)=160\\ &\Leftrightarrow3x=75\\ &\Leftrightarrow x=25\end{aligned}

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A. 20
B. 21
C. 28
D. 32

A. 18
B. 20
C. 24
D. 30

In a family, the average age of a father and a mother is 35 years. The average age of the father, mother and their only son is 27 years. What is the age of the son?

A. 10 years
B. 10.5 years
C. 11 years
D. 12 years

If the arithmetic mean of 0, 5, 4, 3 is a, that of -1, 0, 1, 5, 4, 3 is b and that of 5, 4, 3 is c, then the relation between a, b, and c is.

A. a = b = c
B. a : b : c = 3 : 2 : 4
C. 4a = 5b = c
D. a + b + c = 12

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• While calculating the average of a batsman as 36 in 100

While calculating the average of a batsman as 36 in 100 matches that he played, one of the scores 90 was incorrectly noted as 40. The percentage error is-

A. 0.5% B. 1.21% C. 1.34% D. 1.36% Answer: Option D

Solution(By Apex Team)

\begin{array}{l}\text{Correct sum}\\ \text{= 36 × 100 + 90 – 40}\\ \text{= 3650}\\ \text{Correct average}\\ =\left(\Large\frac{3650}{100}\right)\\ \text{= 36.5}\\ \text{Error = (36.5 – 36) = 0.5}\\ \text{∴ Error %}\\ \begin{aligned}&=\left(\frac{0.5}{36.5}\times100\right)\%\\ &=\frac{100}{73}\%\\ &=1.36\%\end{aligned}\end{array}

Related Questions On Average

A. 20
B. 21
C. 28
D. 32

A. 18
B. 20
C. 24
D. 30

In a family, the average age of a father and a mother is 35 years. The average age of the father, mother and their only son is 27 years. What is the age of the son?

A. 10 years
B. 10.5 years
C. 11 years
D. 12 years