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Simplify \(\sqrt[5]{\sqrt[4]{(2^4)^3}}5\sqrt[5]{8}+2\sqrt[5]{\sqrt[4]{(2^3)^4}} \)
If the cost of x meters of wire is Rs d what is the cost of y meters of wire at the same rate?
The volume of the shaded region is
Three years ago, the mean age of Ram’s family of 5 members was 17. A baby having been born, the average age of his family remains same today. He present age of the baby is
If \(\cos\alpha=\dfrac{1}{2} \) then the value of \((3\sin\alpha4\sin3\alpha) \) is
The % of marks obtained by student in 5 unit tests are given below. What is the probability the student gets more than 60% marks in the test?
Find the mean of
If GHIIEF and \(\dfrac{DG}{GE}=\dfrac{8}{11} \) and \(DF=8.5\ \text{cm} \) the value of \( HF \) is
The length of tangent from a point p (which is outside the circle) to the circle is 10 cm. if the distance from the point of intersection of tangents to the centre of circle is 8 cm then the radius of the circle is
The area of a right triangle whole length of the diameter of its circumcircle is 10 cm and the altitude to the hypotenuse 4.5 cm is
The point P(x, y), Q(31), R(3, 4) Such that PQ = PR then
If PQ = SR, SQ = PR and OP:OR = 1:2 then OS:OQ will be
Which of the following numbers is irrational?
The mean of 40 items is 35 and if each item is multiplied by ‘a’ then the new mean will be
Arun and Sayal are friends. In Arun gives Rs 30 to the Sayal then Sayal will have twice the money left with Arun. But if sayal gives Rs 10 to Arun, then Arun will have thrice as much as is left with sayal. How much money does Arun and Sayal have
Probability of an event can be
A library has an average of 510 visitors on Sundays and 240 on other days. The best estimate average number of visitors per day in a month of 30 days beginning with a Sunday is
A hollow garden roller of height 63 cm with a girth of 440 cm is made of iron 4 cm thick. The volume of the iron used is
In the given figure \(ABCD \). If \(\angle 1=(2x+y)^o \) and \(\angle 6=(3xy)^o \) then the measure of \(\angle2 \) in terms of y is
ABCD is a trapezium in which AB = 7 cm AD = BE = 5 cm, DC = x cm and the distance between AB and DC is 4 cm. The value of x is
Find the remainder when \( 9x^33x^2+x5\) is divided by \(x\dfrac{2}{3} \)
In how many years will a sum of Rs 800 at 10% p, a compounded half yearly become Rs 926.10?
If \(4^{44}+4^{44}+4^{44}+4^{44}=4^x \) then x is
An article is sold at a certain price by selling it at \(\dfrac{2}{3} \) of that price one loses 10%. Find the gain %
The probability of guessing the correct answer to a question is \(\dfrac{x}{2} \). If the probability of not guessing the correct answer is \( \dfrac{2}{3}\). Then x is
If \( a+b+c=0 \) then \(x^{a^2}b^{1}c^{1}x^{a^{1}}b^2c^{1}x^{a^{1}}b^{1}c^2 \) is
The area of shaded portion is
If \(x=\dfrac{\sqrt3+\sqrt2}{\sqrt3\sqrt2} \) and \(y=\dfrac{\sqrt3\sqrt2}{\sqrt3+\sqrt2} \), the value of \(x^2+y^2 \) is
1100 boys and 700 girls are examined in a test. 42% of the boys and 30% of the girls pass. The percentage of total students who failed is
If the radius of the circle is decreased by 50%. Find the percentage decrease in its area
The perimeter of a circle is equal to the perimeter of a square. Then the ratio of their areas is
The probability of guessing the correct answer is \(\dfrac{x}{2} \). If probability of not guessing the correct answer is \(\dfrac{2}{3} \) then \(x= \)
The expression of \((a+b+c)^2+(a+bc)^2+(ab+c)^2+(b+c1)^2 \) equals to
A sphere is just enclosed inside a right circular cylinder. If surface area of sphere is \(180\ cm^2 \). Find curved surface area of cylinder.
Two circles width centre o and o’ intersect at two points A and B. A line PQ is drawn parallel to Oo’ through A or B intersecting the circles at P and Q Find the ratio of PQ:OO’
The ratio of boys to girls is 3:7. If there are 200 more girls than boys. How many boys were enrolled that year?
What is the probability that a leap year will contain 53 Tuesday?
There are 5 books belonging to 5 students. The books were put into a box and each student pulls out a book are after the other. What is the probability that each student get his or her own book?
The price of diamond varies directly as square of its weight. The prize of a 16 decigrams diamond is Rs 38400. If diamond break into 2 pieces whose weights are in the ratio 3:1. Find the loss incurred.
\(P(x) \) is a polynomial such that \(p\left(x+\dfrac{3}{2}\right)=p(x) \) If \(p(13)=502 \). Find the value of \(p(25) \)
If \(x^4+1=1297,y^41=2400 \), then \(y^2x^2= \)
Find the mean proportional between 13 and 52
If 4 taps can fill a tank in 10 hours, then in how many hours can 6 taps fill the same tank?
In a family, the consumption of power is 120 units for 18 days. Find how many units of power is consumed in 30 days
Three positive numbers are in the ratio 1:3:5. The sum of their squares is 875. The sum of the numbers is
Two positive numbers x and y satify the condition \(4x^2+25y^2=20xy \). Find the value of \(x:y \)
₹585 is to be divided among A,B,C in the ratio of 3:4:6 by mistake it is divided in the ratio of \(\dfrac{1}{6}:\dfrac{1}{4}:\dfrac{1}{3} \). The loss incurred to C is
If Anil’s salary is 20% less than Rajeev’s salary by what percent is Rajeev’s salary more than that of Anil?
Rakesh bought a TV for ₹250 on transportation. If he sold the TV for ₹5075. Find profit on less %
The remainder when \(x^33x^2+5x1 \) is divided by \(x+1 \) is