General Instruction 1. All the questions are compulsory 2. The question paper consists of 40 question and it is divided into four sections A,B , C and D. SECTION A Comprises of 20 questions carrying 1 mark each. Section B comprises of 6 questions carrying 2 marks each, Second C comprises of 8 questions carrying 3 marks cach. Section D comprises of 6 questions carrying 4 marks each. 3. There is no overall choice 4. Use of calculator is not permitted. Section A 1. The LCM of two numbers is 1200. Which of the following cannot be their HCF? A) 4 (b) 3 (c) 5 (d) 6 2. The median of a given frequency distribution is found graphically with the help of (a) histogram (b) frequency curve (c) frequency polygon (d) ogive 3. If the arithmetic mean of x, x+3, x+6,x+9 and x+12 is 10, then x = (a) 1 (b) 2 (c) 6 (d)4 4. Two different dice are tossed together. The probability that the product of two numbers on the top of dice is 6 is a) 1/3 b) 1/6 c) 1/9 (d) ...

quadratic equations Question no. 16 If P(x)= ax 2 +bx+c=0 and Q(x)= -ax 2 +bx+c=0, where ac≠0 then P(x).Q(x)=0 has at least looks_one four real roots looks_two two real roots looks_3 four imaginary roots looks_4 none of these Answer Option looks_two two real roots Solution ax 2 +bx+c=0 has D = b 2 -4ac , D can be less than 0 or greater than 0 , there is a possibility of having complex roots or real roots. -ax 2 +bx+c=0 has D = b 2 + 4ac , D is always greater than or equal to 0 , so it has 2 reals roots , So P(x)Q(x) = 0 has atleast 2 real roots Question no. 17 If the roots of the given equation 2x 2 +3(λ-2)x+ λ+4=0 be equal in magnitude but opposite in sign, then λ = looks_one 1 looks_two 2 looks_3 3 looks_4 2/3 Answer option looks_two 2 solution let A and B are two roots of given quadratic equation A + B = 0 3 (λ -2)/ 2 = 0 λ = 2 Question no. 18 If a+b+c=0, then the roots of ...

General Instruction 1. All the questions are compulsory 2. The question paper consists of 40 question and it is divided into four sections A,B , C and D. SECTION A Comprises of 20 questions carrying 1 mark each. Section B comprises of 6 questions carrying 2 marks each, Second C comprises of 8 questions carrying 3 marks each. Section D comprises of 6 questions carrying 4 marks each. 3. There is no overall choice 4. Use of calculator is not permitted. Section A 1. What is the mean of first 12 prime number? 2. If the zeros of the quadratic polynomial x 2 + (a+1)x + b are 2 and -3 , then a) a=-7 ,b=-1 b) a=5 , b=-1 c) a=2 ,b=-6 d) a=0, b=-6 3. If the probability of an event is 'p' the probability of its complementary event will be a) p-1 b) p c ) 1-p d) 1-1/p 4. The decimal expansion of the rational number 237/(2 3 ✕5) will terminate after a) one decimal place b) two decimal place c) three decimal place d) more than three decimal place ...

General Instruction 1. All the questions are compulsory 2. The question paper consists of 40 question and it is divided into four sections A,B , C and D. SECTION A Comprises of 20 questions carrying 1 mark each. Section B comprises of 6 questions carrying 2 marks each, Second C comprises of 8 questions carrying 3 marks each. Section D comprises of 6 questions carrying 4 marks each. 3. There is no overall choice 4. Use of calculator is not permitted. Section A 1. In a family of 3 children, the probability of having atleast one boy is a ) 7/8 b) 1/8 c) 5/8 d) 3/4 2. The mean of 20 numbers is 18. If 2 is added to each number , what is the new mean? 3. Find the area of quadrant of a circle whose circumference is 22 cm. 4. The number 525 and 3000 are divisible by 3 ,5 , 15, 25 and 75. What is the HCF of 525 and 3000? 5. What should be added to the polynomial x 2 -5x +4 ,so that 3 is the zero of the resulting polynomial: a) 1 b) 2 c) 4 d) 5. 6. ...

General Instruction 1. All the questions are compulsory 2. The question paper consists of 40 question and it is divided into four sections A,B , C and D. SECTION A Comprises of 20 questions carrying 1 mark each. Section B comprises of 6 questions carrying 2 marks each, Second C comprises of 8 questions carrying 3 marks each. Section D comprises of 6 questions carrying 4 marks each. 3. There is no overall choice 4. Use of calculator is not permitted. Section A 1. The probability of a number selected at random from the numbers 1,2,3.......15 is a multiple of 4 is. A) 4/15 b) 2/15 c) 1/5 d) 1/3 2. what is the value of x, if the median of the following data is (27.5) 24, 25, 26 , x+2, x+3, 30 ,33 , 37. 3. Find the area of circle inscribed in a square of side a cm. 4. The area of two similar ∆ABC and ∆DEF are 225 cm 2 and 81 cm 2 respectively. If the longest side of the larger triangle ∆ABC be 30 cm , find the longest side of the smaller triangle ∆DE...

General Instruction 1. All the questions are compulsory 2. The question paper consists of 40 question and it is divided into four sections A,B , C and D. SECTION A Comprises of 20 questions carrying 1 mark each. Section B comprises of 6 questions carrying 2 marks each, Second C comprises of 8 questions carrying 3 marks cach. Section D comprises of 6 questions carrying 4 marks each. 3. There is no overall choice 4. Use of calculator is not permitted. Section A 1. LCM of 14 and 122. 2. If one of zeros of quadratic polynomial x 2 + 3x + k is 2 , then the value of k is ....... A) 10 b) -10 c) 5 d) -5 3. The pair of equations x=a and y=b graphically represents lines which are : a) Parallel b) intersecting at ( b,a) c) coincident. d) intersecting at ( a,b) 4. For what value of K , do the equation 3x-y +8 =0 and 6x- Ky = -16 represent coincident lives? a) 1/2 b) -1/2 c) 2 d) -2 5. If k, 2k -1 and 2k+1 are in A.P. , then value of k is.... 6. ...

General Instruction 1. All the questions are compulsory 2. The question paper consists of 40 question and it is divided into four sections A,B , C and D. SECTION A Comprises of 20 questions carrying 1 mark each. Section B comprises of 6 questions carrying 2 marks each, Second C comprises of 8 questions carrying 3 marks cach. Section D comprises of 6 questions carrying 4 marks each. 3. There is no overall choice 4. Use of calculator is not permitted. Section A 1. Which of the following can be the probability of an event? a) -0.04 b) 1.004 c) 18/23 d) 8/7 2. What is the mode of the observation 5, 7, 8, 5, 7, 6, 9, 5, 10, 6. 3. If the circumference of two circles are equal , then what is the ratio between their areas? 4. In the given figure, ABC is circumscribing a circle , then find the length of BC. 5. Write the statement of Pythagoras theorem. 6. If k, 2k-1 and 2k+1 are in A.P. then the value of k is ....... 7. If discriminant of 6x 2 - ...

General Instruction 1. All the questions are compulsory 2. The question paper consists of 40 question and it is divided into four sections A,B , C and D. SECTION A Comprises of 20 questions carrying 1 mark each. Section B comprises of 6 questions carrying 2 marks each, Second C comprises of 8 questions carrying 3 marks cach. Section D comprises of 6 questions carrying 4 marks each. 3. There is no overall choice 4. Use of calculator is not permitted. Section A 1. After how many decimal places the decimal expansion of 54/150 will terminate. 2. Which of the following can't be the probability of an event? a) 0.7 b) 2/3 c) -1.5 d) 15% 3. What is the median of first 5 natural numbers? 4. In the given figure, find x , where ST is the tangent. 5. If sinθ = cosθ, find the value of θ. 6. Find the value of m in which the points (3,5) , (m,6) and (1/2, 15/2) are collinear. 7. If sides of two similar triangles are in the ratio of 8:10, then areas of t...

General Instruction 1. All the questions are compulsory 2. The question paper consists of 40 question and it is divided into four sections A,B , C and D. SECTION A Comprises of 20 questions carrying 1 mark each. Section B comprises of 6 questions carrying 2 marks each, Second C comprises of 8 questions carrying 3 marks cach. Section D comprises of 6 questions carrying 4 marks each. 3. There is no overall choice 4. Use of calculator is not permitted. Section A 1. If n is Natural number then 9 2n -4 2n is always divisible by (a) 5 (b) 13 (c) 5 and 13 (d) none of these 2. If the mean of the following distribution is 2.6 , then the value of y is a) 3 b) 8 c) 13 d) 24 3. If the difference between the circumference and radius of a circle is 37 cm then the circumference (in cm) of the circle is a) 7 b) 14 c) 44 d) 154 4. If am≠bl, then the system of equations ax+ by= c and Ix+ my= n (a) has a unique solution (c) has infinitely many soluti...