Csat---math Questions
#1
There are four routes to travel from city A to city B and six routes from city B to city C . How many routes are possible to travel from the city A to city C ? [ U.P.S.C ( 2011 ) Pre. ]
#2
Twelve people form a club . By picking lots , one of them will host a dinner for all once in a month . The number of dinners a particular member has to host in one year is [ U.P.S.C ( 2015 ) Pre. ]
#3
There are 5 tasks and 5 persons. Task-l cannot be assigned to either person-l or person-2. Task-2 must be assigned to either person-3 or person-4. Every person is to be assigned one task. In how many ways can the assignment be done? [ U.P.S.C ( 2015 ) Pre. ]
#4
A selection is to be made for one post of Principal and two posts of Vice-Principal. Amongst the six candidates called for the interview, only two are eligible for the post of Principal while they all are eligible for the post of Vice-Principal. The number of possible combinations of selectees is [ U.P.S.C ( 2015 ) Pre. ]
#5
A student has to opt for 2 subjects out of 5 subjects for a course, namely, Commerce, Economics, Statistics, Mathematics I and Mathematics II. Mathematics II can be offered only if Mathematics I is also opted. The number of different combinations of two subjects which can be opted is [ U.P.S.C ( 2015 ) Pre. ]
#6
In a society it is customary for friends of the same sex to hug and for friends of opposite sex to shake hands when they meet. A group of friends met in a party and there were 24 handshakes. Which one among the following numbers indicates the possible number of hugs ? [ U.P.S.C ( 2015 ) Pre. ]
#7
In a box of marbles, there are three less white marbles than the red ones and five more white marbles than the green ones. If there are a total of 10 white marbles, how many marbles are there in the box? [ U.P.S.C ( 2015 ) Pre. ]
#8
If second and fourth Saturdays and all the Sundays are taken as only holidays for an office, what would be the minimum number of possible working days of any month of any year ? [ U.P.S.C ( 2017 ) Pre. ]
#9
There are 4 horizontal and 4 vertical lines, parallel and equidistant to one another on a board. What is the maximum number of rectangles and squares that can be formed ? [ U.P.S.C ( 2017 ) Pre. ]
#10
A bag contains 20 balls. 8 balls are green, 7 are white and 5 are red. What is the minimum number of balls that must be picked up from the bag blindfolded (without replacing any of it) to be assured of picking at least one ball of each colour ? [ U.P.S.C ( 2017 ) Pre. ]
#11
If 2 boys and 2 girls are to be arranged in a row so that the girls are not next to each other, how many possible arrangements are there? [ U.P.S.C ( 2017 ) Pre. ]
#12
A bag contains 15 red balls and 20 black balls. Each ball is numbered either 1 or 2 or 3. 20% of the red balls are numbered 1 and 40% of them are numbered 3. Similarly, among the black balls, 45% are numbered 2 and 30% are numbered 3. A boy picks a ball at random. He wins if the ball is red and numbered 3 or if it is black and numbered 1 or 2. What are the chances of his winning ? [ U.P.S.C ( 2018 ) Pre. ]
#13