**Q1. Six bell commence tolling together and toll intervals of 5, 10,15, 20, 25 & 30 s respectively in one days, how many time do these toll together.**

(a) 288

(b) 289

(c) 290

(d) 291

**Q2. A person has to completely put each of three liquid 403 L of Petrol, 465 L of diesel and 496 L of mobile oil in bottles of equal size without mixing any of the above three types of liquids such that each bottle is completely filled. What is the least possible number of bottles required?**

(a) 36

(b) 43

(c) 46

(d) 44

**Q3. If the HCF of m and n is 1, then what are HCF of m + n, m and HCF of m – n, n, respectively (where, m > n)?**

(a) 2 and 1

(b) 1 and 1

(c) 1 and 2

(d) Cannot be determined

**Q9. When a two-digit number is multiplied by the sum of its digits, 405 is obtained. On multiplying the number written in reverse order of the same digits and by the sum of digits, 486 is obtained. Find the number.**

(a) 81

(b) 45

(c) 36

(d) 54

**Q10. Let BE and CF be the two medians of a ∆ABC and G be their intersection. Also let EF cut AG at O. Then AO : OG is**

(a) 1 : 1

(b) 1 : 2

(c) 2 : 1

(d) 3 : 1

**Q11. ABC is an isosceles triangle with AB = AC. A circle through B touching AC at the middle point intersects AB at P. Then AP : AB is:**

(a) 4 : 1

(b) 2 : 3

(c) 3 : 5

(d) 1 : 4

**Q12. In ∆ABC, P and Q are the middle points of the sides AB and AC respectively. R is a point on the segment PQ such that PR : RQ = 1 : 2. If PR = 2 cm, then BC**

(a) 4 cm

(b) 2 cm

(c) 12 cm

(d) 6 cm

**Q13. The length of each side of an equilateral triangle is 14√3 cm. The area of the incircle, in cm^2, is**

(a) 450

(b) 308

(c) 154

(d) 77

**Q14. Three points A (1, -2), B(3, 4) and C(4, 7) from:**

(a) A straight line

(b) An equilateral triangle

(c) A right angled triangle

(d) None of these