Q. Mr. A and Miss B are friends. The probability that their birthdates are different is (ignoring leap years)
The correct answer was: 364/365
Q. (sec A + tan A) (1 – sin A) =
The correct answer was: cos A
Q. The angle between the hands of a clock at 4 o’clock is
The correct answer was: 120°
Q. In \( ΔMNO \), an inscribed circle touches sides \( MN = 12 \) cm, \( MO = 14 \) cm, and \( NO = 18 \) cm at points \( P \), \( Q \), and \( R \) respectively. Then, \( MP + NQ + RO \) is
The correct answer was: 22 cm
Q. The area of a quarter circle with a circumference of 22 cm (in cm²) is
The correct answer was: 77/8
Q. If sinθ + cosecθ = 2, then sin²θ + cosec²θ =
The correct answer was: 2
Q. Pramod and Praveen are the sons of Prajwal. Prajwal’s current age is 4 times the age of Pramod and 6 times the age of Praveen. If the sum of their ages is 51 years, the sons’ current ages are
The correct answer was: 9 years and 6 years
Q. The common factor of \( p^2 + 9p + 14 \) and \( p^2 + 13p + 42 \) is
The correct answer was: \( p + 7 \)
Q. There is an empirical relationship between the three measures of central tendency
The correct answer was: 2 Mean + Mode = 3 Median
Q. The value of sin² 63° + sin² 27° is
The correct answer was: 1
Q. Which of the following statements about parallel lines is always correct?
The correct answer was: The difference of their slopes is zero
Q. If sin 2A = 2sin A, then what is A?
The correct answer was: 0°
Q. In the figure, if TP and TQ are two tangent lines from center O to a circle, and ∠POQ = 110°, then what is ∠PTQ?
The correct answer was: 70°
Q. A cone made of modeling clay has a height of 24 cm and a base radius of 6 cm. A child reshapes it into a sphere. What will be the radius of the sphere?
The correct answer was: 6 cm
Q. The sum of two numbers is 161. If one number is 30% more than the other, the numbers are
The correct answer was: 70 and 91
Q. Two vertices of a triangle are (1, 3) and (4, 5). If its centroid is (7, 2), the third vertex is
The correct answer was: (16, 8)
Q. Solving 2 sin 60° cos 30° cosec 45° / tan 45° cos 60° sin 45° gives
The correct answer was: 6
Q. If two cubes, each with a volume of 64 cm³, are joined at their faces, the surface area of the resulting cuboid is
The correct answer was: 160 cm²
Q. From a point on the ground, which is 30 meters away from the base of a tower, the elevation angle to the top of the tower is 30°. What is the height of the tower in meters?
The correct answer was: 10√3
Q. The sum of the first 20 odd natural numbers is
The correct answer was: 400
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