In a constituency, 90% of the total number of people on the electoral roll cast their vote during an election. 15% of the votes cast were declared invalid. Jeeta secured 60% of the valid votes. If Jeeta secured 91,800 valid votes, what was the total number of people on the electoral roll?
A bag contains ₹550 in the form of 50 p, 25 p and 20 p coins in the ratio 2: 3: 5. The difference between the amounts that are contributed by the 50 p and the 20 p coins is:
The distance between the centres of two circles having radii 16 cm and 8 cm, is 26 cm. The length (in cm) of the direct common tangent of the two circles is:
2\(\sqrt{132}\)
\(\sqrt{153}\)
2\(\sqrt{153}\)
\(\sqrt{132}\)
If \(
\cos x = -\frac{1}{2},
\) x lies in third quadrant, then tanx = ?
\(\sqrt{3}\)
\(\dfrac{\sqrt{3}}{2}\)
\(\dfrac{2}{\sqrt{3}}\)
\(\dfrac{1}{\sqrt{3}}\)
A person took a loan at 5% per annum simple interest during the first year and with an increase of 0.5% simple interest every year from the second year onwards. After 4 years, he paid ₹4,600 as a total interest to settle the loan completely. How much was the loan?
Using cos(A + B) = cosA cosB - sinA sinB, find the value of cos75°.
\(
\frac{\sqrt{5} - 1}{4}
\)
\(
\frac{\sqrt{5} + 1}{4}
\)
\(
\frac{\sqrt{6} - \sqrt{2}}{4}
\)
\(
\frac{\sqrt{6} + \sqrt{2}}{4}
\)