Mathematics Past Questions and Answers

If \(\frac{\sqrt{2} + \sqrt{3}}{\sqrt{3}}\) is simplified as m + n\(\sqrt{6}\), find the value of (m + n)

A \(\frac{1}{3}\)
B \(\frac{2}{3}\)
C 1\(\frac{1}{3}\)
D 1\(\frac{2}{3}\)

Question 3962:

In the given diagram, \(\bar{QT}\) and \(\bar{PR}\) are straight lines, < ROS = (3n - 20), < SOT = n, < POL = m and < QOL is a right angle. Find the value of n.

A 35^o
B 40^o
C 55^o
D 60^o

Question 3963:

Make K the subject of the relation T = \(\sqrt{\frac{TK - H}{K - H}}\)

A K = \(\frac{H(T^2 - 1)}{T^2 - T}\)
B K = \(\frac{HT}{(T - 1)^2}\)
C K = \(\frac{H(T^2 + 1)}{T}\)
D K = \(\frac{H(T - 1)}{T}\)

Question 3964:

Which of the following is used to determine the mode of a grouped data?

A Bar chart
B Frequency polygon
C Ogive
D Histogram

Question 3965:

The area of a rhombus is 110 cm\(^2\). If the diagonals are 20 cm and (2x + 1) cm long, find the value of x.

A 5.0
B 4.0
C 3.0
D 2.5