1.In how many different ways can the letters of the word OPERATE be arranged?

1) 5040    2) 720    3) 2520   4) 360    5) None of these

2. If 378 coins consist of one rupee, 50-paise and 25-paise coins whose values are in the

ratio of 13 : 11 : 7, the number of 50-paise coins will be

1) 132   2) 128    3) 136    4) 133    5) None of these

3. The ratio of X’s income to Y’s as also of Y’s to Z’s is 3 : 2. If one-third of X’s income

exceeds one-fourth of Z’s income by `1000, what is Y’s income?

1) 2000   2) 3000    3) 2500    4) 3500    5) None of these

4. P and Q are partners in a business. P contributed 1/4 of the capital for 15 months and Q

received 2/3 of the profit. Find for how long Q’s money was used.

1) 1 year 2) 9 months 3) 6 months 4) 10 months 5) None of these

5. In an examination, 80% of the students passed in Mathematics and 75% passed in

English, while 15% of the students failed in both the subjects. If 350 students passed in

both the subjects, find the total number of students who appeared in the examination.

1) 500     2) 450       3) 540    4) 550    5) None of these

Q(6-10)In each questions 2 eqn I and II numbered are given. you have to solve and find correct option.

6. I. 12x²+29x+15=0

    II. 24y²+38y+15=0

1. x≤y
2. x≥y
3. x<y
4. x=y or relationship cannot be established
5. x>y

7. I. 3x²-22x+32=0

    II. y²-20y+91=0

1. x>y
2. x=y or relationship cannot be established
3. x≤y
4. x≥y
5. x<y

8. I. 3x²+14x+15=0

   II. y²+14y-72=0

1. x≥y
2. x≤y
3. x<y
4. x=y or relationship cannot be established
5. x>y

9. I. 6x²+31x+33=0

   II. y²-32y+247=0

1. x>y
2. x<y
3. x≤y
4. x=y or relationship cannot be established
5. x≥y

10. I. 2x²+7x+6=0

       II. 2y²+y-3=0

1. x>y
2. x<y
3. x≤y
4. x=y or relationship cannot be established
5. x≥y