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Check whether 301 is a term of the list of numbers, 5,11,17,23,…..

Formula to find the curved surface area of a cone is :

Joseph purchased following shares, Find his total investment. Company A: 200 shares, FV= 2 Premium =18. Company B : 45 shares, MV=500 Company C : 1 share, MV=10,540

Point P lies on segment AB such that (AP)/(AB) = (2)/(5). Then, point P divides AB internally in the ratio…….

A sum of Rs 2700 is to be used to give eight cash prizes to students of a school for their overall academic performance. If each prize is Rs 25 more than its preceding prize, find the value of each of the prizes.

In a certain code, ROAD is written as URDG. How is SWAN written in that code?

Construct a triangle ABC, with AB = 5.6 cm, AC = BC = 9.2 cm. Find the points equidistant from AB and AC, and also 2 cm from BC. Measure the distance between the two points obtained.

In the following frequency distribution, find the median class. What is the upper limit of median class ?

Two dice are thrown simultaneously. Find the probability that : the first dice shows 6.

Which terms of the GP: 2, 2sqrt(2), 4,………. Is 128 ?

Pointing to a man, a woman said, "His mother is the only daughter of my mother." How is the woman related to the man?

A Metallic cylinder has radius 3 cm and height 5 cm. To reduce its weight, a conical hole is drilled in the cylinder. The conical hole has a radius " Use "pi 22/7

Why there exist infinite solutions to the straight line 2x+3y=12 ?

A cylinder and cone are of same height and base radius. Find the ratio of their volume.

If the volume of a sphere is 9/6 pi cu.cm then its radius is ……… .

Mary told her daugher, "seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be."Find the present age of Mary and her daughter.

From a rectangular solid of metal 42 cm by 30 cm by 20 cm, a conical cavity of diameter 14 cm and depth 24 cm is drilled out. Find : the surface area of remaining solid,

A box contains 3 blue, 2 white and 4 red marbles. If a marble is drawn at random from the box, what is (i) white ? (ii) blue ? (iii) red?

From a rectangular solid of metal 42 cm by 30 cm by 20 cm, a conical cavity of diameter 14 cm and depth 24 cm is drilled out. Find : the volume of remaining solid,

State the co-ordinates of the following points under reflection in x-axis : (i) (3,-2) (ii)(-5,4) (iii) (0,0)

From a rectangular solid of metal 42 cm by 30 cm by 20 cm, a conical cavity of diameter 14 cm and depth 24 cm is drilled out. Find : the weight of the material drilled out if it weighs 7 gm per cm^(3).

IF 25025 =p_(2)^(x1),p_(2)^(x2),p_(3)^(x3),p_(4)^(x4)find the values of p_(1), pz, p_(3), p_(4) and x_(1), x_(2), x_(3), x_(4).

Find the width of the space for spectators discussed in section 5.1.

DeltaPQR~DeltaXYZ. angleP=60^@, angleQ=40^@. Find angleZ.

Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0, -1), (2, 1) and (0, 3). Find the ratio of this area to the area of the given triangle.

Read the following information carefully and answer the questions that follow: There are six cities, A, B, C, D, E & F A is not a hill station B & E are not historical places D is not an industrial city A & D are not historical cities A & B are not alike. Which two cities are historical places?

Find the distance between the following pairs of points : (2,3), (4, 1)

Read the following information carefully and answer the questions that follow: There are six cities, A, B, C, D, E & F A is not a hill station B & E are not historical places D is not an industrial city A & D are not historical cities A & B are not alike. Which two cities are industrial centres?

Find the coefficient of variation of the following data:

If sin(A+B)=(sqrt3)/(2) and sin(A-B)=(1)/(2), 0^(@)lt A+Ble90^(@), A gt B, then find the value of A and B.

Find the sum of the sequence -(1)/(3),1,-3,9,. . . . . . . Upto 8 terms.

A conical tent has to accommodate 77 persons. Each person must have 16 m^(3) of air to breathe. Given the radius of the tent as 7 m, find the height of the tent and also its curved surface area.

Expand the following. log(128/625)

Prove that :(i) sqrt((1+sintheta)/(1-sintheta))=sectheta+tantheta""(ii) sqrt((1-costheta)/(1+costheta))

Prove that :(sectheta+"cosec "theta)(sintheta+costheta)=tantheta+cottheta+2=2sectheta" cosec "theta

Let A=[{:(,-3,3),(,2,-2):}] and B=[{:(,4,6),(,4,6):}], find the matrix AB. Write the conclusion, if any, that you can draw the result obtained.

Check whether the following are quadratic equation: x^(2)-2x=(-2)(3-x)

Find the 50th term of the sequence 1/n, (n+1)/(n), (2n+1)/(n),,……..

Find the polynomials u(x)and v(x) such that (x^(4) -1) * u(x) + (x^(7) -1) * v(x) = (x-1).

Salman buys 50 shares of face value 100rs available at 132rs (i) What is his investment ? (ii) If the dividend is 7.5% what will be his annual income ? (iii) If he wants to increase his annual income by 150rs how many extra shares should be buy ?

To draw two tangents to a circle with centre O and radius 3 cm from a point P, 8 cm from O, we draw a circle with centre at the midpoint of OP and radius ........ cm.

Express each of the following numbers as a product of its prime factors. 156

triangle LMN ~triangle LPQ. In triangle LMN, LM=4.2 cm, /_L=50^(@),LN=3.6 cm and (LM)/(LP)=(4)/(5). Construct triangle LQP.

Which one of the following Venn diagrams best illustrates the three classes:Rhombus ,Quadrilaterals ,Polygons?

If the surface area of a sphere is 36pi cm^(2), then the volume of the sphere is equal to ………… .

A trader from Surat, Gujarat sold cotton clothes to a trader in Rajkot, Gujarat. The taxable value of cotton clothes is 2.5 lacs. What is the amount of GST at 5% paid by the trader in Rajkot?