**Problem 1 :**

{Prime numbers which have 4 as a factor} is a

(A) Empty set (B) Set of all prime numbers

(C) Singleton set

**Problem 2 :**

Joy has thin rods, one each of every integer length from 1 cm through 30 cm. She places the rods with lengths 3 cm, 15 cm, and 7 cm on a table. She then wants to choose a fourth rod that she can put with these three to form a quadrilateral with positive area. How many of the remaining rods can she choose as the fourth rod?

(A) 40 (B) 10 (C) 20

**Problem 3 :**

In a class of 35 students, 28 students passed in History, 22 in Mathematics and 18 in both Subjects.

Find the number of students who passed in (i) History alone and (ii) Mathematics alone

**Problem 4 :**

Subtract 2x^{3}–3x^{2} – 1 from x^{3} + 5x^{2}–4x–6

(A) –x^{3}-8x^{2}+4x+5 (B) –x^{3}-8x^{2}-4x-5

(C) –x^{3}+8x^{2}-4x-5

**Problem 5 :**

Find the product of 2x + 3y and x^{2}– x y + y^{2} ?

(A) x^{3}-x^{2}y-xy^{2}+3y^{3 } (B) 2x^{3}-x^{2}y+xy^{2}-3y^{3}

(C) 2x^{3}+x^{2}y-xy^{2}+3y^{3}

**Problem 6 :**

Expand (11a-7b)^{2}

(A) 121a^{2}+154ab-49b^{2} (B) 121a^{2}-154ab+49b^{2}

(C) 121a^{2}+154ab-49b^{2}

**Problem 7 :**

If the values of a + b and a – b are 7 and 4 respectively, find the values of a^{2} + b^{2} and ab.

(A) 15/2, 3/4 (B) 35/2, 13/4 (C) 65/2, 33/4

**Problem 8 :**

The factors of x^{2}–2xy-x+2y.

(A) (x+y)(x-2) (B) (x-2y)(x-y) (C) (x-2y)(x-1)

**Problem 9 :**

What is the remainder when 2x^{3}+3x^{2}+5x+2 is divided by x+1

(A) -2 (B) 2 (C) 0

**Problem 10 :**

For every real number x, does x² - 1 > 0?

(A) True (B) False (C) Not to decide

Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

(1) Empty set (2) 10 (3) 10, 4 (4) –x³-8x²-4x-5 (5) 121a² + 154 a b-49 b² |
(6) 2x³-x²y+xy²-3y³ (7) 65/2, 33/4 (8) (x-2y) (x-y) (9) -2 (10) True |

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