Question: A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?

• 1. 20
• 2. 54
• 3. 42
• 4. 60

Question: The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -.

• 1. 4000
• 2. 2160
• 3. 4320
• 4. 5300

Question: In how many ways can live boys and three girls sit in a row such that all boys sit together?

• 1. 4800
• 2. 5760
• 3. 2880
• 4. 15000

Question: The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 13 and 14. The larger of the two numbers is___________?

• 1. 276
• 2. 299
• 3. 322
• 4. 345

Question: The H.C.F of two numbers is 8. Which of the following can never be their L.C.M?

• 1. 24
• 2. 48
• 3. 56
• 4. 60

Question: If the sum of two numbers is 55 and the H.C.F and L.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocal of the numbers is equal to___________?

• 1. 55/601
• 2. 601/55
• 3. 11/120
• 4. 120/11

Question: The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 10, then their difference is__________?

• 1. 10
• 2. 46
• 3. 70
• 4. 90

Question: The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275, then the other is__________?

• 1. 279
• 2. 283
• 3. 308
• 4. 318

Question: The H.C.F and L.C.M of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1:4, then the larger of the two numbers is____________?

• 1. 12
• 2. 48
• 3. 84
• 4. 108

Question: Three numbers are in the ratio 3:4:5 and their L.C.M is 2400. Their H.C.F is:

• 1. 40
• 2. 80
• 3. 120
• 4. 200