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How many prime factors are there in the prime factorization of 4002075 ?
\(\dfrac{{2\sqrt 6 }}{{\sqrt 2 + \sqrt 3 + \sqrt 5 }}\) is equal to?
A number when divided by 1207 gives a remainder 88. What remainder should be obtained by dividing the same number by 17.
Find zeroes of the polynomial \(30{y^2} – 13y – 56\)
If \(\dfrac{{ – 1}}{2} \le x \le \dfrac{1}{3} \& \dfrac{{ – 1}}{3} \le y \le \dfrac{1}{2}\) then what will be the smallest value of \({x^2} – {y^3}\)?
The value of p so that \({x^2} + 5px + 16 = 0\) has no real root is
If \({x^2} + 2x + c = 0\) and \({x^2} + 4x – 5 = 0\) have a common root which is greater than the other root of second equation then the value of c is
Diameter of a cylinder vessel is 60cm. it is filled with water such that a sphere of diameter 30cm is mersed fully into it. Then what is the increase in height of the water surface after putting the sphere in the vessels.
Three dice throws simultaneously. The probability of getting a sum of 15 is
A card is drawn from 52 cards then probability of getting an honour card is
\(\sqrt {\dfrac{{1 + {\mathop{\rm Sin}\nolimits} Q}}{{1 – {\mathop{\rm Sin}\nolimits} Q}}} = \)
If\(5\sin \theta = 3\), then \(\sec \theta – \csc\theta \) is
If first, second and last terms of an A.P. are 6, 26, 30 respectively then the number of terms are
Neha required Rs.4440 after 12 weeks to buy a cell phone. She saved Rs.120 in the first week ad increased her weekly savings by Rs.20 every week. Find whether she will able to but a cell phone after 12 weeks.
Sides of two similar triangles are in the ratio \(5:8\). Area of these triangles are in the ratio