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1. The sum of an infinite G.P is 4 and the sum of the cubes of the terms is 192.Determine the common ratio.

 (A) 8 (B) 2 (C) 1

2.A triangle with sides 3 cm,4 cm and 5 cm is rotated about the side of length 5 cm. Find the volume of the solid generated.

 (A) 2.5 π cm3 (B) 1.2 π cm3 (C) 9.6 π cm3

3.If A = {1,3,5,7},B = {1,2,4,6,8} ,C={1,3,6,8} then find (A ∪ B) ∩ (A ∪ C)

 (A) {1,3,5,6,7,8} (B) {1,6,7,8} (C) {1,3,5}

4.Let A= {0, 1} and B = {1, 3} be two sets. Let f: A→B be a function given by f (x) = 2x + 1. Represent this function as a set of ordered pairs

 (A) {(0,1),(1,3)} (B) {(0,0),(1,1)} (C) {(1,1),(1,3)}

5.The sum of three numbers is 24.Among them one number is equal to half of the sum of the other two numbers but four times the difference of them.Find the numbers.

 (A) 5,4,2 (B) 3,1,2 (C) 8,9,7

6.Find the remainder when 6x⁴ - 11x³ + 5 x² - 7x + 9 is divided by (2x-3).

 (A) 3 (B) 1 (C) 6

7.3m - 1, 3m - 3, 3m - 5,…………………………is a/an

 (A) Harmonic function (B) Geometric progression (C) Arithmetic progression

8.Determine the value of m if x+1 is a factor of x ³ + m x ² + 19 x + 12

 (A) m = 5,m = 1 (B) m = 0,m = 8 (C) m = 0,m = 1

9.Find the square root of x² + 10 x + 25

 (A) x + 3 (B) x + 2 (C) x + 5

10.The age of the father is square of his daughter Henna.Five years hence the father is three times as old as Henna.Find the present ages of henna.

 (A) 12 years (B) 3 years (C) 5 years

These are the questions on math prepared in 10th grade worksheet12 based on the curriculum of 10th grade

1.   2

2.   9.6 π cm ³

3.   {1,3,5,6,7,8}

4.   {(0,1),(1,3)}

5.   8,9,7

6.   3

7.   Arithmetic progression

8.   m = 0,m = 8

9.   x + 5

10.  5 years  