**Q1. How many numbers between 2000 and 3000 can be formed with the digits 0, 1, 2, 3, 4, 5, 6, 7 (repetition of digits not allowed)?**

(a) 42

(b) 210

(c) 336

(d) 440

(e) 120

**Q2. A bucket contains 2 red Marbles, 4 blue Marbles and 6 Green Marbles. Two marbles are drawn at random. What is the probability that they are not of same color?**

(a) 5/11

(b) 14/33

(c) 2/5

(d) 6/11

(e) 2/3

**Q3. In how many different ways can letter of the word “COMPLAINT” be arranged in such a way that vowels occupy only the odd positions?**

(a) 1440

(b) 43200

(c) 18040

(d) 5420

(e) 54000

**Q4. The area of rectangular field of length 90 m and breadth 80 m is equal to the area of a square plot. What will be the length of the diagonal of the square plot?**

(a) 120 m

(b) 100 m

(c) 90 m

(d) 105 m

(e) 110 m

L1Difficulty 2

**Q5. A spherical cannon ball of diameter 24 cm is melted and casted into two cylinders of equal size and shape having base radius 8 cm. Find the height of each cylinder?**

(a) 36 cm

(b) 18 cm

(c) 32 cm

(d) 20 cm

(e) 16 cm

**Q6. How many 4 digits number can be formed using 2, 3, 5, 7, 6 and 9 if the number should be divisible by ‘4’ and repetition is not allowed?**

(a) 120

(b) 96

(c) 160

(d) 64

(e) 296

**Q7. In how many different ways can a team of 5 students be formed from 5 girls and 6 boys having at least 1 girl and 2 boys?**

(a) 365

(b) 425

(c) 385

(d) 405

(e) 415

**Q8. A path of width 1.5 m is to be built around a rectangular park of length 12 m and breadth 9 m. Find the area of the rectangular path**

(a) 72 m2

(b) 60 m2

(c) 75 m2

(d) 80 m2

(e) 65 m2

**Q9. Find the probability of selecting two face cards or two number cards from a pack of 52 cards?**

(a) 61 : 77

(b) 121 : 212

(c) 60 : 121

(d) 116 : 221

(e) 125 : 221

**Q10. Find the probability of getting at most two heads if three unbiased coins are tossed simultaneously?**

(a) 3/8

(b) 3/4

(c) 1/2

(d) 1/4

(e) 7/8

**Q11. In a right angled triangle of hypotenuse 15 cm, the remaining two sides are in the ratio 3 : 4. If smaller side is equal to radius and second longer side is equal to height of right circular cylinder, find volume of cylinder?**

(a) 288π

(b) 512π

(c) 972π

(d) 778π

(e) 750π

**Q12. A pyramid with a square base of side 3 cm and height 7 cm is carved out of a rectangular block of wood 7 cm × 3 cm × 3 cm. Find the percentage of wood wasted in the process?**

**Q13. How many different words can be formed with the letter of the word “REGRESSIVE”**

(a) 16800

(b) 30240

(c) 151200

(d) 90720

(e) 15120

**Q14. In how many ways the word ‘INTICINCO’ can be written so that ‘T’ always comes at end.**

(a) 720

(b) 1680

(c) 5040

(d) 1024

(e) 210

**Q15. A bag contains 4 yellow and x Red balls. If 2 balls are drawn at random then probability of both are red is 1/3. Find value of x.**

(a) 8

(b) 6

(c) 4

(d) 5

(e) 9

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