Question
The average age of a group of 50 students is 16 years.
If 3 students whose ages are 18 years, 26 years, and _____ years are replaced by 3 new students whose ages are _____ years, 24 years, and 34 years, then the new average age of the group increases by 0.6 years. The values given in which of the following options will fill the blanks in the same order to make the above statement true: I. 26, 42 II. 40, 57 III. 21, 36Solution
ATQ, Since the new average increases by 0.4 years, the difference in the sum of ages of the students who left and the new students should be: 50×0.6 = 30 years Option I: (42+24+34) − (18+26+26) = 30 years So, option I can be the answer. Option II (57+24+34)−(18+26+40) = 31 years So, option II cannot be the answer. Option III: (36+24+34)−(18+26+21) = 29 years So, option III cannot be the answer.
In the given Figure, Find  angle BCD. If AB is a diameter & AB is parallel to CD.
What will be circumradius of a right angle triangle whose base is 20cm & height is 21cm ?
If y = 5x + c passes through point A(5, 2), what is the value of c?
...If in a right angle triangle ABC, Angle B is a right angle. AB = 8 cm, BC= 15cm if BD is perpendicular to AC find the length of BD?Â
The perimeter of a rectangle is 100 m, and its diagonal is 41 m. Find the area of the rectangle.
Find the area of triangle having sides 20 m, 21 m, and 29 m.
The radius of a circle is 25 cm, and the length of the chord is 14 cm. Find the distance between the chord and the centre of the circle. Â
The length of the each side of an equilateral triangle is 28√3. The area of incircle, (cm 2 ) is
The ratio of curved surface area of a right circular cylinder to the total area of its two bases is 2 : 1. If the total surface area of cylinder is 2310...
Relevant for Exams:
