A teacher on attempting to arrange the students for mass drill in the form of a solid square found that 24 students were left over. When he increased the size of the square by one student he found he was short of 25 students. Find the number of students?

In a school 80 students like chocolate , 40 like coffee if the number of he student does not like any of hem is equal to the number of student who like both of them then what is the total number of students in the school ?

The average mark obtained by 100 students is 40. But is was later found that the mark of one student was wrongly written as 83 instead of 53. Find the value of the actual mean.

Panchayat has sent flower saplings to the student’s of class VI of Jodunath Vidya Mandir, for their school garden. It was found that if the saplings can be put in rows of 20, 24 and 30, then the number of saplings in each row will be equal. Let’s find the minimum number of saplings that Panchayat sent to School.

In a survey conduced on 800 students of a school , 250 students were found to like tea and 300 like coffee , 150 like both tea and coffee .Find how many students like neither tea nor coffee ?

In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee. Find how many students were taking neither tea nor coffee?

Of the students in a college, it is known that 60% reside in hostel and 40% are day scholars (not residing in hostel). Previous year results report that 30% of all students who reside in hostel attain A grade and 20% of day scholars attain A grade in their annual examination. At the end of the year, one student is chosen at random from the college and he has an A grade, what is the probability that the student is a hostlier?

A student appears for tests I, II and III. The student is considered successful if he passes in tests I, II or III or all the three. The probabilities of the Student passing in tests I,II and III are m, n and 1/2 respectively. If the probability of the student to be successful is 1/2 , then which one of the following is correct? (a) m (1+n)=1 (B) n (1+m) =1 (C) m=1 (D) mn=1

In a class of 10 student, probability of exactly i students passing an examination is directly proportional to i^(2). Then answer the following questions: If a students selected at random is found to have passed the examination, then the probability that he was the only student who has passed the examination is

In a survey of 35 students of a class it was found that 17 students like mathematics and 10 like Mathematics but not Biology. Find the number of students who like (i) Biology, (ii) Biology but not Mathematics, it being given that each student takes at least one of the two subjects.