**Q3. The ratio of the length and the breadth of a rectangular plot is 6 : 5 and the ratio of numerical value of perimeter and the area of this plot is 2 : 15. Find the perimeter of a square whose numerical value of its area is equal to numerical value of the perimeter of the rectangle? **

(a) 40 cm

(b) 36 cm

(c) 44 cm

(d) 48 cm

(e) 52 cm

**Q4. A sphere and a cube have equal surface areas. Find the ratio of radius of sphere to side of cube. **

(a) √21 : 2 √11

(b) 21 : 44

(c) 14 : 42

(d) 17 : 46

(e) None of these

**Q6. How many five digits number can be formed using the digits 1, 3, 4, 5, 6, 7 without repetition of digits?**

(a) 120

(b) 144

(c) 720

(d) 840

(e) 420

**Q7. In how many ways can a group of 5 men and 2 women be made out of total of 7 men and 3 women?**

(a) 63

(b) 45

(c) 126

(d) 90

(e) 84

**Q8. In a class there are 10 boys and 3 girls. A game was organized, find the probability of coming at least one girl in first three positions when all students participated in that game.**

3/10

83/143

157/286

167/289

157/289

**Q9. From numbers 1 to 15 two no. are selected what is the probability that both the selected no. are even numbers.**

(a) 0.20

(b) 0.30

(c) 0.25

(d) 0.35

(e) 0.40

**Q10. Ayush has 5 milky bar chocolates, 2 Silk Oreo chocolates & 8 Bournville chocolates. If he selected two chocolates randomly to eat, then find the probability of getting at most 1 Silk Oreo chocolate.**

(a) 33/35

(b) 104/105

(c) 6/7

(d) 19/21

(e) 14/15

**Solutions**

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