**Q1. There are 5 phones cover in a bag which are red & green in color. A cover is drawn at Random. The probability of getting a red cover is 0.6. find green covers.**

(a) 1

(b) 2

(c) 3

(d) 4

(e) 5

**Q2. In how many ways 5 girls and 3 boys be arranged in a row all facing north such that no boy sit together?**

(a) 14400

(b) 1200

(c) 140

(d) 120

(e) 2400

**Q3. A child in a trade fair asked for 2 balloons of different color. The vendor picked 2 balloons from a pack having 20 red & 10 blue balloons. Find the probability that wish of child would be fulfilled.**

(a)40/87

(b) 1/15

(c) 1/29

(d) 1/10

(e) 1/5

**Q4. How many words can be formed with the letter of the word ‘MONSTROUS’ such that no two vowels come together? **

(a) 525

(b) 6300

(c) 3150

(d) 1575

(e) None of these

**Q5. A storekeeper has 2 types of shirts i.e. 15 yellow and 10 blue. If he sold 3 shirts, what is the probability that these are either all yellow or all blue?**

(a)1/2

(b) 3/10

(c) 1/4

(d) 28/115

(e) 3/25

**Q6. How many ways are there to form a committee of 5 people from 5 boys and 4 girls such that number of boys will always be more than number of girls and atleast a boy & a girl should be there in the committee?**

(a) 60

(b) 80

(c) 100

(d) 85

(e) None of these

**Q7. The ratio of areas of two squares is 289 : 169. Find the ratio of their diagonals.**

(a) 19 : 15

(b) 15 : 13

(c) 17 : 15

(d) 17 : 13

(e) 13 : 11

**Q8. Four books are to be distributed among seven students. If no students gets more than one book, then the number of ways possible to do it is?**

(a) 180

(b) 240

(c) 260

(d) 210

(e) 220

**Q9. The ratio of area of square to that of rectangle of length 10 cm is 4 : 5. If breadth of rectangle is same as side of square. Find length of diagonal of square.**

(a) 9√2 cm

(b) 10√2 cms

(c) 6√2 cm

(d) 4√2 cm

(e) 8√2 cm

**Q10.If rohit has 2 tickets of a lottery for which 50 tickets were sold and only 5 prices are to be given, then what is Rohit’s probability of winning at least 1 ticket?**

(a) 37/245

(b) 47/245

(c) 53/245

(d) 41/234

(e) 31/245

**Q11. What is probability of getting 2 red cards (both either of diamond or queen) from a pack (52 cards) when 2 cards are drawn at random?**

(a) 79/1326

(b) 1/17

(c) None of these

(d) 69/221

(e) 14/221

**Q12. How many different 4 letter words can be formed from “WORDLIST’ using all letters only once?**

(a) 70

(b) 1680

(c) 24

(d) 256

(e) 4096

**Q14. A cone of radius 3 cm is extracted out from a cylinder of radius 5 cm. height of cone & cylinder is same. If volume of remaining part of cylinder is 484 cu.cm. find height. **

(a) 8 cm

(b) 6 cm

(c) 5 cm

(d) 7 cm

(e) 9 cm

**Q15. Radius of a cone is equal to the side of an equilateral triangle having area 49√3 cm². and the slant height of the cone is 8 cm more than the perimeter of triangle. Find the volume of the cone. **

(a) 9646 cm³

(b) 9586 cm³

(c) 9716 cm³

(d) 9856 cm³

(e) None of these

**Solutions**