**Q1. If the diagonal and the area of a rectangle are 34 m and 480 m², find the sum of length & breadth of the rectangle?**

(a) 42 m

(b) 46 m

(c) 44 m

(d) 40 m

**Q2. A regular hexagonal pyramid has the perimeter of its base as 36 m and its altitude 40 m. Find its volume?**

(a) 3741.22 m³

(b) 1747.07 m³

(c) 2247.07 m³

(d) 1247.07 m³

**Q3.If x=√5+1/√5 and y=√5-1/√5 then find the value of x²+y²+ 4xy**

(a) 132/5

(b) 142/5

(c) 148/5

(d) 152/5

**Q4.How many digits (ignoring repetition) are required to number a book containing 1250 pages?**

(a) 4193

(b) 3193

(c) 3893

(d) 4173

**Q5.In ∆ABC, θ is an acute angle and tanθ is equal to three times of cotθ. Find the value of **

**sin²θ + cosec²θ – 2/3 cot²θ**

(a) 67/36

(b) 65/36

(c) 77/36

(d) 75/36

**Q6. The height of a cone and the radius of its base are respectively 9 cm and 3 cm. The cone is cut by a plane parallel to its base so as to divide it into two parts. The volume of the frustum (i.e. the lower part) of the cone is 66 cm³. Then find the radius(in cm) of the upper circular surface of the frustum. (taking π =22/7)**

(a) ∛6

(b) ∛11

(c) ∛9

(d) ∛14

**Q7. The sum of the areas of the 9 squares whose sides are 20cm, 21 cm,……, 28 cm respectively is**

(a) 7714 cm²

(b) 5244 cm²

(c) 6370.67 cm²

(d) 6714 cm²

(a) 119

(b) 194

(c) 167

(d) 223

**Q9. The total sum of all interior angles of a regular polygon is thrice the total sum of all its exterior angles. Find the no. of diagonals?**

(a) 12

(b) 25

(c)15

(d) 20

**Q10. From the foot and top of a building of height 322m, a man observes the top of a tower with angle of elevation p and q respectively. If tan p =4/5 and tanq= 5/12, then what is the distance between the top of the building and top of the tower**

(a) 672 m

(b) 350 m

(c) 710 m

(d) 910 m

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