Q. In the given figure, find the value of x in terms of a, b, and c.
The correct answer was: ab/(b+c)
Q. If the points A(x, y), B(-5, 7), and C(-4, 5) are collinear, then the value of 2x + y + 3 is:
The correct answer was: 2
Q. If θ is an acute angle such that tan²θ = 8/7, what is the value of (1+sinθ)(1-sinθ)/(1+cosθ)(1-cosθ)?
The correct answer was: 7/8
Q. If 6x = secθ and x = tanθ, then find the value of 9(x² – 1/x²).
The correct answer was: 1
Q. A car has two wipers that do not overlap. Each wiper has a blade of 42 cm length that moves through an angle of 120°. Find the total area cleaned during each sweep of the blade.
The correct answer was: 3696 cm²
Q. Find the decimal expansion of the rational number 27/1250.
The correct answer was: 0.0216
Q. In the given figure, point P is 26 cm away from the center O of a circle, and the length of the tangent PT drawn from P to the circle is 24 cm. Find the radius of the circle.
The correct answer was: 25 cm
Q. In the A.P. 6, 13, 20, 27, ……, which term is 98 more than its 24th term?
The correct answer was: 34
Q. Find the area of a quarter circle whose circumference is 22 cm.
The correct answer was: 9.625 cm²
Q. If the mean of the numbers 27 + x, 31 + x, 89 + x, 107 + x, 156 + x is 82, then what is the mean of the numbers 130 + x, 126 + x, 68 + x, 50 + x, 1 + x?
The correct answer was: 75
Q. Write the decimal expansion of 76/6250 without actual division.
The correct answer was: 0.01216
Q. If the n-th term of the A.P. 9, 7, 5, … is equal to the n-th term of the A.P. 15, 12, 9, …, find the value of n.
The correct answer was: 9
Q. In the given figure, what are the values of x and y?
The correct answer was: x = 10; y = 14
Q. sec⁴θ – sec²θ =
The correct answer was: tan⁴θ – tan²θ
Q. Three consecutive vertices of a parallelogram are (-2, -1), (1, 0), and (4, 3). The fourth vertex is:
The correct answer was: (1, -2)
Q. If the length of the minute hand of a clock is 7 cm, then what is the angle formed by the minute hand at the center of the clock between 9:00 AM and 9:10 AM?
The correct answer was: 60°
Q. Find the value of θ (0° < θ ≤ 90°), if 2 cos²θ = 1
The correct answer was: 45°
Q. If the five observations x, x+2, x+4, x+6, and x+8 have a mean of 11, then find the value of x.
The correct answer was: 7
Q. For the quadratic polynomial x² + kx + k, where k > 0, the roots are:
The correct answer was: Both positive
Q. In the given figure, O is the center of two concentric circles with radii 5 cm and 3 cm. Tangents PA and PB are drawn from an external point P to these circles. If PA = 12 cm, what is the length of PB?
The correct answer was: 5√10 cm
Quiz Result
- Q1:
- Q2:
- Q3:
- Q4:
- Q5:
- Q6:
- Q7:
- Q8:
- Q9:
- Q10:
- Q11:
- Q12:
- Q13:
- Q14:
- Q15:
- Q16:
- Q17:
- Q18:
- Q19:
- Q20: