Question: A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?

• 1. 21
• 2. 12
• 3. 9
• 4. 108

Question: There are 30 people in a group. If all shake hands with one another , how many handshakes are possible?

• 1. 870
• 2. 435
• 3. 30!
• 4. 29! + 1

Question: In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together?

• 1. 120
• 2. 720
• 3. 4320
• 4. 2160

Question: In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together?

• 1. 10080
• 2. 4989600
• 3. 120960
• 4. None of these

Question: How many 4-letter words with or without meaning, can be formed out of the letters of the word, ‘LOGARITHMS’, if repetition of letters is not allowed?

• 1. 40
• 2. 400
• 3. 5040
• 4. 2520

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