Tag: maths

Questions Related to maths

The average weight of 45 students in a class is 25 kg. Five of them whose average weight is 48 kg leave the class and other 5 students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class?

  1. $52\frac{1}{3}$

  2. $52\frac{1}{2}$

  3. $52\frac{2}{3}$

  4. None of these


Correct Option: A

If n A.M.'s are inserted between 3 and 17 such that the ratio of the last mean to the first mean is 3:1, then the value of n is

  1. 4

  2. 6

  3. 8

  4. 9


Correct Option: A

Four numbers are in proportion. The sum of the square of the four numbers is $50$ and the sum of the means is $5$. The ratio of first two terms is $1 : 3$. What is the average of the four numbers ?

  1. $2$

  2. $3$

  3. $5$

  4. $6$


Correct Option: A

Average of first ten prime numbers is :

  1. 12.6

  2. 12.9

  3. 13.9

  4. 14.9


Correct Option: A

A line is such that the algebraic sum of the perpendicular on it from a number of point is zero. The line always passes through a fixed point that is 

  1. A. M of the given points

  2. GM of the given points

  3. HM of the given points

  4. None of these


Correct Option: A

Coefficient of variance of a distribution is 60% and the standard deviation is 25. The arithmetic mean of the distribution is

  1. $\cfrac {25}{3}$

  2. 35

  3. $\cfrac {125}{3}$

  4. $\cfrac {25}{6}$


Correct Option: A

If the arithmetic mean of the numbers $x _{1}, x _{2}, x _{3}.......,x _{3}$ is $\overline{X}$, then the arithmetic mean of numbers $ax _{1}+b, ax _{2}+b, ax _{3}+b,........, ax _{n}+b$, where  $a, b$ are two constants would be 

  1. $\overline{X}$

  2. $na\overline{X}+nb$

  3. $a\overline{X}$

  4. $a\overline{X}+b$


Correct Option: A

The average score of a cricketer for 10 matches is 42, find the average for last four matches :

  1. $34\frac { 1 }{ 4 } $

  2. 35

  3. $36\frac { 1 }{ 4 } $

  4. $35\frac { 1 }{ 4 } $


Correct Option: A

If the total incomes of $M,N,O,P$ are in the rate a $2:3:4:5$ and the total income of $M$ is $Rs\ 8000$ , then find approximate average salary of all four?

  1. $Rs\ 14000$

  2. $Rs\ 7000$

  3. $Rs\ 9950$

  4. $Rs\ 4875$


Correct Option: A

The artimetic mean of $2 sin 2^o, 4 sin 4^o, 6sin6^o,...,180sin 180^o$ is equal to 

  1. $cosec1^o$

  2. $sec1^o$

  3. $cot1^o$

  4. None of these


Correct Option: A