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sqrt (a sqrt (a sqrt a...oo)) =...

200 logs are stacked in the following manner: 20 logs in the bottom row, 19 in the next row, 18 in the row next to it and so on. In how many rows are the 200 logs placed and how many logs are in the top row?

Find the slope of the line passing through the given two point A(0, 4), B(4, 0)

A vessel is in the form of an inverted cone. Its heightis 8 cm and the radius of its top, which is open, is 5 cm. It is filled withwater up to the brim. When lead shots, each of which is a sphere of radius 0.5cm are dropped into the vessel, on

Who is to the immediate right of P among five persons P, Q, R, S and T facing North? I. R is third to the left of Q and P is second to the right of R. II. Q is to the immediate left of T who is second to the right of P.

Choose the correct answer and give justification for each. (i) The angle between a tangent to a circle and the radius at the point of contact is

Is the reciprocal function a bijection ?

Find two numbers whose sum is 27 and product is 182.

Smt. Aruna Thakkar purchased 100 shares of FV 100 when the MV is 1200. She paid brokerage at the rate of 0.3% and 18% GST on brokerage. Find the following - (i) Net amount paid for 10 shares. (ii) Brokerage paid on sum invested. (iii) GST paid on brokerage. (iv) Total amount paid for 100 shares.

The point P (5, 3) was reflected in the origin to get the image P'. If M is the foot of the perpendicular from P to the x - axis , find the co-ordinates of M.

How many children are there between P and Q in a row of children? I. P is fifteenth from the left in the row. II. Q is exactly in the middle and there are ten children towards his right.

If the number of square centimetres on the surface of a sphere is equal to the number of cubic centimetres in its volume, what is the diameter of the sphere?

If xx stands for addition', < stands for 'subtraction', + stands for 'division', > stands for multiplication' - stands for 'equal to', -: stands for greater than' and = stands for 'less than', state which of the following is true?

Which of the following numbers are irrational ? (a) sqrt2 (b) root3(6) © 4.142857 (d)2.bar3 ( e)pi(f)22/7 (g) 0.232332333…(h)5.27bar(41)

If each observation is multiplied by 1/3 then the mean of the new data will be

Solve and graph the solution set of : 2x - 9 lt 7 and 3x + 9 le 25, "x" inR

If (a)/(b + c - a) = (b)/(c + a - b) = (c)/(a + b -c ), then each ratio is equal to

When we construct a triangle similar to a given triangle as per given scale factor, we construct on the basis of ………

If the centroid of the triangle formed by (9 , a), (b, -4) and (7, 8) is (6, 8) , then the value a and b are :

Using the Remainder Theorem find the remainders obtained when x^(3)+(kx+8)x +kis divided by x + 1 and x - 2. Hence, find k if the sum of the two remainders is 1.

Find the number of parallelogram contained in the following figure.

A metal cube of side 11 cm is completely submerged in water contained in a cylindrical vessel with diameter 28 cm. Find the rise in the level of water.

If animals that live on land and the animals that live in water are represented by two big circles and animals that live in water and on land are represented by small circle,the combination of these three can be best represented as

Find the roots of the quadratic equations by factorisation: 2x^(2)+x-6=0

By comparing the ratios aunderset1/aunderset2, bunderset1/bunderset2, cunderset1/cunderset2, state whether the lines represented by the following pairs of linear equations intersect at a poit, are parllel or are coincident. (a) 5x - 4y + 8 = 0 7x + 6y - 9 = 0

Spherical marbles of diameter 1.4 cm are dropped into a cylindrical beaker of diameter 7 cm,which contains some water. Find the number marbles that should be dropped in to the beaker , so that water level rises by 5.6 cm.

By comparing the ratios aunderset1/aunderset2, bunderset1/bunderset2, cunderset1/cunderset2, state whether the lines represented by the following pairs of linear equations intersect at a poit, are parllel or are coincident. (b) 9x + 3y +12 = 0 18x + 6y + 24 = 0

By comparing the ratios aunderset1/aunderset2, bunderset1/bunderset2, cunderset1/cunderset2, state whether the lines represented by the following pairs of linear equations intersect at a poit, are parllel or are coincident. (c ) 6x - 3y + 10 = 0 2x - y + 9 = 0

Use Euclid's algrithm to find HCF of 1190 and 1445. Express the HCF in the form 1190m + 1445m.

If M= (x_(1)+x_(2).....+x_(20))/(20)then the value ofsum_(i=1)^20((x_i-M))/20 is

When proving that a quadrilateral is a trapezium, it is necessary to show

Find the distance between each of the following pairs of points . P (-5,7) ,Q(-1,3)

Find the sum of 28 terms of an A.P. whose nth term is 8n -5.

Find the area of a rhombups if its vertices are (3, 0), (4, 5), (-1, 4) and (-2, -1) taken in order.

The points A(x_(1) ,y_(1) ), B(x_(2) ,y_(2)) and C(x_(3) ,y_(3)) are the vertices of triangleABC. What are the coordinates of the centroid of the triangle ABC .

What is the ratio in which the point P(gamma,6) divides the join of A(-4,3) and B(2,8) ? Also, find the value of gamma.

Which constant term is to be added to make the LHS of ax^(2)+bx=0 a perfect square?

If 6x^(2)=3x-1 is a factorof ax^(3)+bx-1 (where a , b are integers), then find the value of b.

The volume of a conical tent is 1232 m ^(3) and the area of the base floor is 154 m^(2). Calculate the : height of the tent,

ABCD is a trapezium with AB||DC. E and F are points on non-parallel sides AD and BC respectively such that EF is parallel to AB (see the figure). Show that (AE)/(ED)=(BF)/(FC)

Find the area of the shaded region in figure, if BC BD=8cm, AC = AD = 15 cm and O is the centre of the circle. ("Take " pi = 3.14 )

A toy is in form of a cone mounted on a hemisphere on the same diameter . The diameter of the base and the height of the cone are 6 cm and 4 cm respectively. Determine the surface area of the toy . [use pi= 3.14]

M/s. Jay Chemicals purchased a liquid soap for 8000 (with GST) and sold it to the consumer for 10,000 (with GST). Rate of GST is 18%. Find the amount of CGST and SGST to be paid by Jay Chemicals.

A manufacturer of TV sets produces 600 units in the third year and 700 units in the 7th year. Assuming that the production increases uniformly by a fixed number every year, find: (i) the production in the first year. (ii) the production in the 10th year. (iii) the total production in 7 years.

Two concentric circles of radii 5cm and 3cm are drawn. Find the length of the chord of the larger circle which touches the smaller circle.