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Which of the following is not an irrational number?
If \(n \) is a natural number then \(\sqrt n \) is
If the product of the zeros of the polynomial \(ax^2+24x+6 \) is \(\dfrac{1}{4} \), what is the value of a ?
Find the zeros of the polynomial \(f(x)=x^36x^2+11x6 \) if it is given that sum of its two zeros is 3.
If a and b are the zeros of the quadratic equation \(x^2+6px2q \). Find the value of \(\dfrac{1}{a}+\dfrac{1}{b} \)
If the equation \(ax^25x+c=0 \) has 10 as the sum of the roots and also as the product of the roots which of the following is true?
If the sum of the roots of the equation \(\dfrac{1}{x+a}+\dfrac{1}{x+b}=\dfrac{1}{c} \) is zero, then the product of roots is
Four different integers form an increasing AP. If one of these numbers is equal to the sum of the squares of the other three numbers. The numbers are
The middle term of an arithmetic series 3, 7, 11, … 147 is
The altitudes of two similar triangles are 4 cm and 6 cm. If the area of one triangle is \(36\ cm^2 \), what is the area of the other !
What is the LCM of 140 and 605 if their HCF is 11?
Three bulbs are connected in such a manner that they glow for every 24 seconds, 36 seconds, 54 seconds respectively. All of them glow at once at 8 am when will they again glow simultaneously?
If \(\propto,\beta,\gamma \) are the zeros of \(P(x) \) which of the following is true?
Which of the following is a solution of \(2p+3q=5 \)?
Find the unique solution of \(2xy=2 \) and \(4xy=4 \)
Find the roots of \(2m^2+3m+1=0 \)
The age of a man is the square of his son’s age. A year ago the man’s age was eight times the age of his son. What is the present age of the man?
Find the sum from the sixth term to twelfth term of AP 6, 10, 14,…
What is the sum of first ‘A’ odd numbers starting from 11?
A piece of wire is used to make circles of the following pattern. Find the length of wire that is required to make 5 such circles.
A man cycles 15m towards east, turns right and cycles 8m. How far is he from the starting point?
What is the length of AD in terms of ‘b’ and ‘c’ ?
In which quadrant (s) is ordinate positive?
What is the angle between the hour and minute hand of a clock at 02:15 hours?
PQ is a chord of a circle which on producing meets the tangent TR at R, if PQ = 5 cm and QR = 4 cm, find TR
Two circles with centers O and P and radii 8 cm and 4 cm touch each other externally. Find the length of QR
PQ is a chord of a circle, the tangent XR at X on the circle cuts PQ, produced at R. If XR = 12 cm, PQ = x cm, QR = (x2) cm find x in cm
In the given figure, O is the center of incircle inscribed in \(\triangle ABC\). Find \(\angle \)BOC if \(\angle BAC=40^o \)
The difference between circumference and radius of a circle is 37m. Find the circumference of the circle.
If the ratio of areas of two circles is 16:25. What is the respective ratio of their circumference?
A top is of the shape of a cone over a hemisphere. The radius of the hemisphere is 3.5 cm. The total height of the top is 15.5cm. Find the total area of the top.
Marks obtained by 12 students in a test are 37, 23, 16, 19, 34, 23, 5, 27, 36, 23, 20, 38. Find the modal marks.
The mean of 10 numbers is 7. If each number is multiplied by 12 find the mean of new set of numbers.
Find the probability of getting a number greater than 2 or an even number in a single throw of a fair dice
From a rectangular sheet of paper ABCD with AB = 40 cm and AD = 28 cm, a semi circular portion with BC as diameter is cut off. Find the area of the remaining part.
The sum of 4th and 8th terms of an AP is 24 and the sum of 6th and 10th term is 44. Find the first terms of the AP
The taxi charges in a city comprise of a fixed change together with the charge for the distance covered. For the journey of 10 km the charge paid is Rs 75 and for a journey of 15km the charge paid is Rs 110.
What will a person have to pay for travelling a distance of 25 km?
A motor boat whose speed is 24 km/hr in still water takes 1hr more to go 32m km upstream than to return downstream to the same spot. Find the speed of the stream.
Find the roots of \(x^24\sqrt3x+9=0 \)
The angles of elevation of the top from two points on either side of a tree are \(30^o \) and \( 60^o\). What is the height of the tree if the two points are 52 m apart?
If \(p \) and \(q \) are coprime numbers then \(p^2 \) and \(q^2 \) are
Which of the following rational numbers have terminating decimal?
(i) \(\dfrac{6}{225} \) (ii) \(\dfrac{5}{18} \) (iii) \(\dfrac{2}{21} \) (iv) \(\dfrac{7}{250} \)
If zeroes of the polynomial \(f(x)=x^33px^2+qxr \) are in AP then
The area of the triangle formed by the lines \(y=x,x=6,y=0 \) is
If the system of equations \(kx5y=2,6x+2y=7 \) has no solution then \(k= \)
A man walks a distance of 48 km in a given time. If he walks 2 km/hr faster he will perform the journey 4 hrs before. His normal rate of walking is
₹ 6500 were divided equally among a certain number of persons. If there had been 15 more persons, each would have go ₹ 30 lens. Find the original number of persons
If in an AP, \(S_n=n^2P \) and \(S_m=m^2P \), where \(S_n \) denotes the sum of \(n \) terms of the AP then \(SP= \)
If the first term of an AP is 2 and common difference is 4 then the sum of its 40 terms is
The \(9^{th} \) term of an AP is \(449 \) and \(449^{th} \) term is \(9 \). The term which is equal to zero is