**Question 1 :**

In a school the total enrollment of class 8^{th} is 115. If the number of boys exceeds the number of girls by 33, find the number of boys in a class 8^{th}.

(A) 74 (B) 89 (C) 50

**Question 2 :**

One of the angles of a triangles is equal to the sum of the remaining tow angles. If the ratio of these angles is 4:5, find the angles of the given triangle.

(A) 60, 60, 60 (B) 60, 80, 40 (C) 40, 50, 90

**Question 3 :**

Two equal sides of a triangle are each 4 m less than three times the third side.Find the dimensions of a triangle,if its perimeter is 55 m.

(A) 15, 15, 8 (B) 23, 23, 9 (C) 13, 13, 8

**Question 4 :**

If a + 1/a = 2, find the value of a^{3} + (1/a)^{3}

(A) 1 (B) 2 (C) 3

**Question 5 :**

A gardener bought twice the number of Lilly plants that he had in his garden but had to throw 3 bad plants. When the new Lilly plants were planted, he had in all 48 plants in the garden.Find the number of Lilly plants he had originally.

(A) 17 (B) 15 (C) 13

**Question 6 :**

Simplify a^{3} - b^{3} ÷ (a-b)

(A) a^{2 }+ ab + b^{2 }(B) a^{2 }- ab + b^{2 }(C) (a+b) (a+b)

**Question 7 :**

If a + b + c = 9 and ab + bc + ca = 23, find the value of a^{2} + b^{2} + c^{2}

(A) 15 (B) 12 (C) 35

**Question 8 :**

The difference between the compound interest and the simple interest on a certain principal for 2 years at 4% per annum is $150. Find the principal

(A) 1875 (B) 3750 (C) 1263

**Question 9 :**

The watch is marked at $1150. During off season a discount given and it is sold for $1100. Find the discount percent allowed.

(A) 2.14% (B) 4.34% (C) 3.04%

Solution

**Question 10 :**

What must be added to each of the numerator and the denominator of the fraction 7/11 to make it equal to 3/4

(A) 2 (B) 8 (C) 5

(1) 74 (2) 90, 50, 40 (3) 23, 23, and 9 (4) 14 (5) 17 |
(6) a (7) 1875 (8) 35 (9) 4.34% (10) x = 5 |

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