Question: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

• 1. 63
• 2. 90
• 3. 126
• 4. 45

Question: In how many different ways can four books A, B, C and D be arranged one above another in a vertical order such that the books A and B are never in continuous position?

• 1. 9
• 2. 12
• 3. 14
• 4. 18

Question: There are two identical red, two identical black, and two identical white balls.In how many different ways can the balls be placed in the cells (Each cell to contain one ball) shown above such that balls of the same colour do not occupy any two consecutiv

• 1. 15
• 2. 18
• 3. 24
• 4. 30

Question: Twelve people from 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________?

• 1. One
• 2. Zero
• 3. Three
• 4. Cannot be determined

Question: A person ordered 5 pairs of black socks and some pairs of brown socks. The price of a black pair was thrice that of a brown pair while preparing the bill the bill clerk inter-changed the number of black and brown pairs by mistake which increased the bill

• 1. 10
• 2. 15
• 3. 20
• 4. 25

Question: A two number committee comprising of one male and the female number is to be constituted out of five male and 3 females. Amongst the females, Ms. A refused to be number committee in which Mr.B is taken as the number of how many different ways can the comm

• 1. 11
• 2. 30
• 3. 14
• 4. 20

Question: 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

• 1. 4
• 2. 12
• 3. 18
• 4. None of these

Question: A student has to opt for 2 subjects out of 5 subjects for a course. Namely commerce, economics, statistics, mathematics 1 and Mathematics 2, Mathematics 2 can be offered only if mathematics 1 has also opted. The number of different combinations of two sub

• 1. 5
• 2. 6
• 3. 7
• 4. 18

Question: 2 men and 1 woman board a bus of which 5 seats are vacant, one of these 5 seats is reserved for ladies. A woman may or may not sit on the seat reserved for ladies, In how many different ways can the five seats be occupied by these passengers?

• 1. 15
• 2. 36
• 3. 48
• 4. 60

Question: Three dice (each having six faces with each face having one number from 1 or 6) are ralled. What is the number of possible outcomes such that atleast one dice shows the number 2?

• 1. 36
• 2. 81
• 3. 91
• 4. 116