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 \(s_n=\frac{n}{2}(a+l)\) where a = first term, \(l\) = last term In light of the above statements, choose the correct answer from the options given below.

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

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…

Given below are two statements in the context of throwing two different dice together: Statement (I): The probability that the two numbers obtained have even sum, is 0.50. Statement (II): The probability that the two numbers obtained have even product is 0.75. In light of the abo…

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…

A 30 metre deep well, with diameter 7 metre is dug and the earth from digging is evenly spread out to form a platform of size 22 metre by 14 metre. The height of the platform 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…

The expression \(2x^3+ax^2+bx+3\), where a and b are constants, has a factor of \(x-1\) and leaves a remainder of 15 when divided by \(x+2\). Then, \((a,b)=\)

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