List of top Mathematics Questions

In throwing of two dice, what is the number of exhaustive events ?
In the right angled triangle ABC, $\angle B= 90?$, A= (2, 5, 1), B = (1, 4, -3) and C = (-2, 7, -3). If P, S, R are the orthocentre, circumcentre, circumradius of the triangle ABC then $R + P_y = $
In the above question the iso-profit line is
In how many ways can $5$ children be arranged in a line such that (i) two particular children are always together (ii) two particular children are never together?
In how many ways can a football team of $11$ players be selected from $16$ players? How many of them will (i) include $2$ particular players? (ii) exclude $2$ particular players?
In how many ways a committee consisting of $3$ men and $2$ women, can be chosen from $7$ men and $5$ women?
In four schools $B_1, B_2, B_3, B_4$ the percentage of girls students is $12, 20, 13, 17$ respectively. From a school selected at random, one student is picked up at random and it is found that the student is a girl. The probability that the school selected is $B_2$, is
In computing a measure of the central tendency for any set of 51 numbers, which one of the following measures is well-defined but uses only very few of the numbers of the set?
In an examination of $9$ papers a candidate has to pass in more papers than the number of papers in which he fails in order to be successful. The number of ways in which he can be unsuccessful is
In an examination, there are three multiple choice questions and each question has $4$ choices. Number of ways in which a student can fail to get all answers correct is
In an $A.P$., if $m^{th}$ term is $n$ and the $n^{th}$ term is $m$, where $m \ne n$, then find its $p^{th}$ term.
In a survey of $400$ students in a school, $100$ were listed as taking apple juice, $150$ as taking orange juice and $75$ were listed as taking both apple as well as orange juice. Find how many students were taking neither apple juice nor orange juice?
In a survey of $60$ people, it was found that $25$ people read newspaper $H$, $26$ read newspaper $T$, $26$ read newspaper $I$, $9$ read both $H$ and $I$, $11$ read both $H$ and $T$, $8$ read both $T$ and $I$, $3$ read all three newspapers. Which of the following statements is/are true? : The number of people who read exactly one newspaper is $30$. : Exactly one of the newspaper read is $n(H) + n(T) + n(I) - 2\{n(H \cap I) + n(H \cap T) + n(T \cap T)\}$ $+ 3n(H \cap T \cap I)$
In a test, an examinee either guesses or copies or knows the answer to a multiple choice question with four choices. The probability that he makes a guess is $\frac{1}{3}$ . The probability that he copies is $\frac{1}{6}$ and the probability that his answer is correct given that he copied it is $\frac{1}{8}$ . The probability that he knew the answer to the question given that he correctly answered it, is
In a survey of $100$ students, the number of students studying the various languages were found to be : English only $18$, English but not Hindi $23$, English and Sanskrit $8$, English $26$, Sanskrit $48$, Sanskrit and Hindi $8$, no language $24$. Find How many students were studying English and Hindi?
In a series of 2n observations half of them equal a and remaining half equal - a. If the standard deviation of the observations is 2, then |a| equals
In a non leap year the probability of getting 53 Sundays or 53 Tuesdays or 53 Thursdays
In a leap year the probability of having 53 Sundays or 53 Mondays is
In a group of students, mean weight of boys is 80 kg and mean weight of girls is 50 kg. If the mean weight of all the students taken together is 60 kg, then the ratio of the number of boys so that of girls is
In a group of 52 persons, 16 drink tea but not coffee, while 33 drink tea. How many persons drink coffee but not tea ?
In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then common ratio of the G.P. is
In a frequency distribution, the mid value of a class is 10 and the width of the class is 6. The lower limit of the class is
In a factory which manufactures bolts, machines $A$, $B$ and $C$ manufacture respectively $25\%$, $35\%$ and $40\%$ of the bolts. Of their output $5\%$, $4\%$ and $2\%$ are respectively defective bolts. $A$ bolt is drawn at random from the total production and is found to be defective. Find the probability that it is manufactured by machine $B$.
In a football championship, $153$ matches were played. Every team played one match with each other, the number of teams participating in the championship is
In a committee 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. The number of persons speaking at least one of these two languages is