Untitled Quiz

General Instructions

• Questions 1-16 are multiple choice, each worth 1 mark.
• Questions 17-25 are short answer, each worth 2 marks.
• Questions 26-32 are long answer, each worth 3 marks.
• Questions 33-37 are application-based, each worth 5 marks.

Section A (1 x 16 = 16)

• HCF of 17, 23, and 29: 1
• Product of two numbers: LCM × HCF
• Number of zeroes of quadratic equation 4x² - 4x - 1 = 0: 2
• P(E) + P(E): 1
• Roots of a quadratic equation are equal if: b² - 4ac = 0
• Next term in the A.P -5, -1, 3: 7
• 1 + tan²θ: sec²θ
• Pythagorean theorem (8)² + (15)²: (17)²
• Line intersecting a circle in two points: secant line
• Volume of a cylinder: πr²h
• nth term of an A.P.: a + (n-1)d
• Sin A = 3/4, Cosec A: 4/3
• All squares are: congruent
• Tangent to a circle and radius: 90°
• Ratio of volumes of two spheres = 64:27, ratio of surface areas: 16:9
• Sum of roots of polynomial 5y² - 14y + 8: 14/5

Section B (2 x 18 = 36)

• Express 336 as product of prime factors: (Details omitted)
• Distance between Ram's house (6,0) and Shyam's house (0,8): (Details omitted)
• Value of Sin 60° Cos30° + Sin60° Cos60°: (Details omitted)
• Solve the pair of linear equations by substitution method: (Details omitted)
• Roots of √2 x² + 7x + 5√2 = 0: (Details omitted)
• Probability of drawing a red ball from a bag with 3 red and 5 black: 3/8
• Line drawn perpendicular at point of contact to a tangent passes through what?: Centre of the circle
• Area swept by minute hand (length 6cm) from 9:10 to 9:20: (Details omitted)

Section C (3 x 21 = 63)

• Solve the pair of linear equations graphically: (Details omitted)
• Relation between x and y for point (x, y) equidistant from (3,6) and (-3,4): (Details omitted)
• Number of pottery articles produced (total cost ₹90, cost per article 3 more than twice the number produced): (Details omitted)
• Prove that: (Details omitted)
• Area of minor segment and major sector if chord subtends a right angle at centre, radius is 10 cm: (Details omitted)
• Evaluating Cot θ = 7: (Details omitted)
• Two numbers whose sum is 27 and product is 182: (Details omitted)
• Radius of circle if length of tangent from point 5cm from centre is 4 cm: (Details omitted)

Section D (5 x 25 = 125)

• Prove that if a line is parallel to one side of a triangle and intersects the other two sides, it divides them proportionally: (Details omitted)
• Height of a tree if broken part touches ground at 30° angle, distance is 8m: (Details omitted)
• Fixed charges and charge per KM for taxi (if charges for 10km are ₹105 and 15km are ₹155): (Details omitted)
• Total area of a doll in the shape of cone mounted on hemisphere (radius 3.5 cm, total height 15.5 cm): (Details omitted)
• Area of conical and cylindrical portion of a wooden toy rocket (height 26cm (total), conical 6cm, conical diameter 5cm, cylindrical 3cm): (Details omitted)
• Ages of Nuri and Sonu if 5 years ago Nuri was thrice Sonu's age, and 10 years later Nuri will be twice Sonu's age: (Details omitted)
• Modal lifetimes of 225 electrical components (data provided in a table): (Details omitted)