In \(\triangle ABC\), \(\angle B=90^\circ\), BC = 5 cm, AC - AB = 1 cm, then \(\frac{1+\sin C}{1+\cos C}\) is

In a survey of 100 students, the number of students studying various languages were found to be: English only-18, English but not Hindi-23, English and German-8, English-26, German-48, German and Hindi-8, no language-24. Then, which of the following statements are true? A. Number…

If the difference of the circumference and radius of a circle is 37 cm, then using \(\pi=\frac{22}{7}\), what is the circumference (in cm) of the circle?

Sumit has ₹ 90000 with him. He purchases three items A, B and C for ₹ 15000, ₹13000 and ₹ 35000 respectively and puts the remaining money in a bank deposit that pays compound interest @15% per annum. After 2 years, he sells off the three items at 80% of their original price and a…

Which of the following statements are True? A. The mean of x, y, z is y. Then x + z = 2y. B. Median of 15, 28, 72, 56, 44, 32, 31, 43 and 51 is 43. C. Mode of 2, 3, 4, 5, 0, 1, 3, 3, 4 and 3 is 3. Choose the correct answer from the options given below:

The graph of a polynomial y = f(x) is shown in figure below, then the number of its zeros is: [Figure: Graph of y = f(x) on x-y axes. The curve starts below the x-axis at the far left, rises and crosses the x-axis, reaches a peak above the axis, falls and crosses the x-axis again…

In a Women's Chess Championship having 300 entrants, a player is eliminated whenever she loses a match. It is given that no match results in a draw. The number of matches that are played in the entire Championship is

Given below are two statements, one is labelled as Assertion (A) and other one labelled as Reason (R). Assertion (A): Sum of first hundred even natural numbers divisible by 5 is 45050. Reason (R): Sum of first n-terms of an Arithmetic Progression is given by…

If the eight-digit number 5a32465b is divisible by 88, then 2a + 5b =