1847 + Interview Questions in Maths in Class 9 Page 6 InterviewSolution

251.	Which the quadrant in which of the following points lie? (i) (-2,3) (ii) (5,-3) (iii) (4,2) (iv) (-7,-6) (v) (0,8) (vi) (3,0) (vii) (-4,0) (viii) (0,-6)
Answer» Answer :(i) `Q_2` (II) `Q_4` (iii) `Q_(1)` (V) `Q_(3)` (v) Y-axis (vi) X-axis (VII) X-axis (viii) Y-axis

Discussion

252.	If 2cos(A+B)=2sin(A-B)=1, find the values of A and B.
Answer» ANSWER :`A=45^(@)" and "B=15^(@)`

Discussion

253.	A fan is sold for Rs 900 cash or Rs 400 cashdown payment followed by Rs 520 after two months at simpleinterest .The annual rate of interest is:
Answer» 0.25 0.3 0.24 0.23 Solution :USE the FOMULA to FIND SIMPLE INTEREST

Discussion

254.	Janardhan deposited a certain sum of money in fixed deposit account at k% per annum interest being compounded annually. If the amount of interest accured for the 3rdand 4th years is RS 5000 and Rs 6250 respectively, what is the total interest accured for the first two years?
Answer» SOLUTION :RS 72,000

Discussion

255.	Prove that the bisectors of the angles formed by producing the opposite sides of a cyclic quadrilateral (provided that they , are not parallel), intersect at right angles.
Answer» SOLUTION :NA

Discussion

256.	If the price of share A was Rs.10 more, 50 less shares can be pruchased by investing Rs.x. If the price of A was Rs.20 less, 25 more shares can be purchased by investing Rs.x. Find the ratio of the price of each share and the number of shares purchased.
Answer» `3:5` `5:3` `2:5` `5:2` SOLUTION :His INVESTMENT in each CASE is same, i.e., Rs.x.

Discussion

257.	Number of families in a village in correspondence with the number of children are given below: Find the mean number of children per family.
Answer» ANSWER :`BAR x=1.71`

Discussion

258.	A die is thrown. Find the probability of getting:a prime number.
Answer» `2/3` `3/4` `1/3` `1/2` ANSWER :D

Discussion

259.	10 conical Joker.s caps with radius 14 cm and height 48 cm are to be made using paper sheet. Find the area (in cm^(2)) of paper sheet required.
Answer» ANSWER :22,000 `CM^(2)`

Discussion

260.	…………is one of the factors of 2x^(4) + x^(3) - 14 x^(2) - 19x - 6.
Answer» `(x-1)` `(x+1)` `(x+3)` `(x-2)` ANSWER :A

Discussion

261.	(viii) O is the orthocentre of Delta ABC. If angle BOC=4 angle BAC, then find angle BOC and angle BAC.
Answer» ANSWER :`ANGLE BOC=144^@, angle BAC=36^@`.

Discussion

262.	State the degree of each the following polynomials : 5 - 4x + x^(2)
Answer» ANSWER :2

Discussion

263.	What sum of money will amount to Rs 5,445 in 2 years at 10% per annum compound interest?
Answer» ANSWER :RS 4,500

Discussion

264.	Factorise : 2x^(2) + 7x + 3
Answer» ANSWER :`(x+3)(2x+1)`

Discussion

265.	......... cannot be the measures of the sides of a triangle.
Answer» 10,12,14 2,3,4 8,9,10 2,4,10 Answer :A::B::D

Discussion

266.	Find the mean of the following frequency distribution:
Answer» ANSWER :48

Discussion

267.	Refer to Q. 7. Draw the frequency polygon representing the above data without drawing the histogram.
Answer» Solution :We have to draw a frequency polygon without a HISTOGRAM. Firstly, we find the class marks of the classes given that is 30-40, 40-50, 50-60, 60-70…….. `therefore` The class mark `=(30+40)/2` `=70/2=35` Similarly, we can DETERMINE the class marks of other classes. So, table for class marks is shown below. We can draw a frequency polygon by PLOTTING the class marks along the horizontal axis and the frequency along the vertical axis. Now, plotting all the points B (35,3), C(45,6), D(55,25), E(65,65), F(75,50), G(85,28), H(95,14), also plot the point corresponding to the considering classes 20-30 and 100-110 each with frequency 0. Join all these point LINE segments.

Discussion

268.	Divide the polynomial 2x ^(4) - 4x ^(3) - 3x -1 by x-1
Answer» ANSWER :`=-6`

Discussion

269.	Find the magnitude of angle A, if : 4sinAsin2A+1-2sin2A=2sinA
Answer» ANSWER :ANGLE `A=30^(@) or 15^(@)`

Discussion

270.	Classify the following polynomials into linear quadratic and cubic polynomials : 8x^(3) - 27
Answer» ANSWER :CUBIC POLYNOMIAL

Discussion

271.	From the adjoining figure, find : use tanx^(@) to find y.
Answer» ANSWER :`y=2`

Discussion

272.	Factories : 121x^(2) -2 89
Answer» ANSWER :`(11X +17)(11x-17)`

Discussion

273.	Evaluate the expression as performed by a compute : 720-7xx88+(111)/(37)-(256)/(16)
Answer» 58 85 119 91 Answer :d

Discussion

274.	In the trapezium ABCD, AB = 10 cm and DC = 8 cm. The line segment through C and parallel to DA intersects AB at E. Then BE =
Answer» 1 CM 2 cm 3 cm 4 cm Answer :B

Discussion

275.	If a/b and c/dbe two rationalnumbers and if a = nc, b = nd,when n is a natural number , then what type of rational numbers are the numbersa/b and c/dand why ?
Answer» ANSWER :`a/b = (NC)/(ND)= c/d`

Discussion

276.	Find the remainder when 9x ^(3) - 3x ^(2) + x-5 is divided by x - (2)/(3)
Answer» ANSWER :`-3`

Discussion

277.	The shape of a field is an isosceles triangle. The length of two equal sides of the field is 30 m and the length of the third side is 20 m. Find its area.
Answer» ANSWER :`200 SQRT(2) m^(2)`

Discussion

278.	Draw a flowchart to compute the sum of 10 terms of the series S_(n)=(n(n^(2)-1))/(2)
Answer»

Discussion

279.	A cuboidal pit measuring 5 m times 5 mtimes 20 m is dug and the earth removed from it is spread evenly on a rectangular plot measuring 50 m times 40 m. Find the height of the earth spread on the plot.
Answer» ANSWER :25 CM

Discussion

280.	Factorise : 3x^(2)-x-4
Answer» ANSWER :`(x+1)(3x-4)`

Discussion

281.	Shiva makes a fixed deposited ofRs 15000 with a bank for 1 year 6 months .If the rate of interest is 8% per annum compounded half yearly then the amount which shiva received at the end of this period is ______
Answer» Rs 16812.90 Rs 16872.96 Rs 17872.96 Rs 18872.96 Solution :USE the formules to find COMPOUND INTEREST

Discussion

282.	ABC is an isosceles trian gle in w h ich altitudes BE and CF are drawn to equal sides AC and AB respectively (see the given figure). Show that these altitudes are equal.
Answer» ANSWER :BE

Discussion

283.	The longest chord of a circle is a. . . . . . . . . Of the circle.
Answer» RADIUS diameter chord secant ANSWER :B

Discussion

284.	A heap of wheat is in the form of a cone whose diameteris 10.5 m and height is 3 m. Find its volume. The heap is to be covered bycanvas to protect it from rain. Find the area of the canvas required
Answer» ANSWER :VOLUME of the conical heap of wheat = `88.625 m^(3)` 99.825 `m^(2)` CANVAS is required to cover the conical heap of wheat to protect it from rain.

Discussion

285.	A cylindrical tub of radius 12 cm contains water to a depth of 20 cm. A spherial iron ball is dropped into the tub and thus the level of water is raised by 6.75 cm. What is the radius of the ball?
Answer» ANSWER :4.32 CM

Discussion

286.	Classify the following polynomials into linear quadratic and cubic polynomials : 7-sqrt(3)x
Answer» ANSWER :LINEAR POLYNOMIAL

Discussion

287.	If he draws Rs 5000 on 5-10-2006 from the bank and the remaining data is the same then what is the interest paid to him by the bank on 1-11-2006? (inerestrate =4%)
Answer» RS 462 Rs 392 Rs 352 Rs 823 Solution :FIND the MINIMUM balalnce for DIFFERENT MONTHS

Discussion

288.	The measure of an angle is twice the measure of its supplementary angle. Then, the measure of that angle is .............
Answer» `60^(@)` `120^(@)` `50^(@)` `100^(@)` ANSWER :A::B

Discussion

289.	Expand each of the following using suitable identities : (x+2x+4z)^(2)
Answer» ANSWER :`x^(2) + 4Y^(2) + 16Z^(2) + 4XY + 16yz + 8zx`

Discussion

290.	Water is pouring into a conical vessel of diameter 5.2m. And slant height 6.8 m(as shown in the adjoining ) , at the rate of 1.8 m^(3)per minute .How long will it take to fill the vessel?
Answer» ANSWER :`24.7 `MIN

Discussion

291.	Classify the following as linear, quadratic and cubic polynomials : x-x^(3)
Answer» ANSWER :CUBIC POLYNOMIAL

Discussion

292.	A cylindrical piller has a diameter of 56 cm and is of 35 m high. There are 16 pillars around the building. Find the cost of painting the curved surface area of all the pillars at the rate of rupes 5.50 per1m^(2)
Answer» ANSWER :` 5420 .80 ` RUPES

Discussion

293.	Centuries scored and number of cricketers in the world are given below. Find the mean, median and mode of the given data.
Answer» ANSWER :`bar x=11.18`; Mode = 5 ; Median = 10

Discussion

294.	A colour box measures 12 cm times 6 cm times 4 cm. Find the volume of a container which can hold 25 such boxes.
Answer» ANSWER :7200 `CM^(3)`

Discussion

295.	triangle ABC and triangle DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see the given figure). If AD is extended to intersect BC at P, show that, ( i ) triangleABD = triangle ACD (ii) triangle ABP = triangle ACP (iii) AP bisects angle A as well as angle D. (iv) AP is the perpendicular bisector of BC
Answer» ANSWER :CP

Discussion

296.	The value of sec29^(@)-cosec61^(@) is……………
Answer» 1 `SEC60^(@)` `cosec29^(@)` 0 Answer :D

Discussion

297.	The slant height and base diameter of a conical tombare 25 m and 14 m respectively.Find the cost of white-washing its curved surface atthe rate of Rs 210 per 100\ m^2.
Answer» ANSWER :RS. 1155

Discussion

298.	Find the zero of the polynomial in each of the following cases : p(x) = 2x+5
Answer» ANSWER :`-(5)/(2)`

Discussion

299.	If a man sells 7 horse and buys 9 cows his purchase increases by Rs. 176, but if he sells 13 cows and buys 9 horse decreases by Rs. 182 . Find the cost of a cow.
Answer» ANSWER :Rs.31

Discussion

300.	What principal will amount of Rs.560 in 3 years at 4% per annum simple interest?
Answer» ANSWER :RS. 80 and Rs. 240 MONTHLY.

Discussion

Explore topic-wise InterviewSolutions in .

Which the quadrant in which of the following points lie? (i) (-2,3) (ii) (5,-3) (iii) (4,2) (iv) (-7,-6) (v) (0,8) (vi) (3,0) (vii) (-4,0) (viii) (0,-6)

If 2cos(A+B)=2sin(A-B)=1, find the values of A and B.

A fan is sold for Rs 900 cash or Rs 400 cashdown payment followed by Rs 520 after two months at simpleinterest .The annual rate of interest is:

Janardhan deposited a certain sum of money in fixed deposit account at k% per annum interest being compounded annually. If the amount of interest accured for the 3rdand 4th years is RS 5000 and Rs 6250 respectively, what is the total interest accured for the first two years?

Prove that the bisectors of the angles formed by producing the opposite sides of a cyclic quadrilateral (provided that they , are not parallel), intersect at right angles.

If the price of share A was Rs.10 more, 50 less shares can be pruchased by investing Rs.x. If the price of A was Rs.20 less, 25 more shares can be purchased by investing Rs.x. Find the ratio of the price of each share and the number of shares purchased.

Number of families in a village in correspondence with the number of children are given below: Find the mean number of children per family.

A die is thrown. Find the probability of getting:a prime number.

10 conical Joker.s caps with radius 14 cm and height 48 cm are to be made using paper sheet. Find the area (in cm^(2)) of paper sheet required.

…………is one of the factors of 2x^(4) + x^(3) - 14 x^(2) - 19x - 6.

(viii) O is the orthocentre of Delta ABC. If angle BOC=4 angle BAC, then find angle BOC and angle BAC.

State the degree of each the following polynomials : 5 - 4x + x^(2)

What sum of money will amount to Rs 5,445 in 2 years at 10% per annum compound interest?

Factorise : 2x^(2) + 7x + 3

......... cannot be the measures of the sides of a triangle.

Find the mean of the following frequency distribution:

Refer to Q. 7. Draw the frequency polygon representing the above data without drawing the histogram.

Divide the polynomial 2x ^(4) - 4x ^(3) - 3x -1 by x-1

Find the magnitude of angle A, if : 4sinAsin2A+1-2sin2A=2sinA

Classify the following polynomials into linear quadratic and cubic polynomials : 8x^(3) - 27

From the adjoining figure, find : use tanx^(@) to find y.

Factories : 121x^(2) -2 89

Evaluate the expression as performed by a compute : 720-7xx88+(111)/(37)-(256)/(16)

In the trapezium ABCD, AB = 10 cm and DC = 8 cm. The line segment through C and parallel to DA intersects AB at E. Then BE =

If a/b and c/dbe two rationalnumbers and if a = nc, b = nd,when n is a natural number , then what type of rational numbers are the numbersa/b and c/dand why ?

Find the remainder when 9x ^(3) - 3x ^(2) + x-5 is divided by x - (2)/(3)

The shape of a field is an isosceles triangle. The length of two equal sides of the field is 30 m and the length of the third side is 20 m. Find its area.

Draw a flowchart to compute the sum of 10 terms of the series S_(n)=(n(n^(2)-1))/(2)

A cuboidal pit measuring 5 m times 5 mtimes 20 m is dug and the earth removed from it is spread evenly on a rectangular plot measuring 50 m times 40 m. Find the height of the earth spread on the plot.

Factorise : 3x^(2)-x-4

Shiva makes a fixed deposited ofRs 15000 with a bank for 1 year 6 months .If the rate of interest is 8% per annum compounded half yearly then the amount which shiva received at the end of this period is ______

ABC is an isosceles trian gle in w h ich altitudes BE and CF are drawn to equal sides AC and AB respectively (see the given figure). Show that these altitudes are equal.

The longest chord of a circle is a. . . . . . . . . Of the circle.

A heap of wheat is in the form of a cone whose diameteris 10.5 m and height is 3 m. Find its volume. The heap is to be covered bycanvas to protect it from rain. Find the area of the canvas required

A cylindrical tub of radius 12 cm contains water to a depth of 20 cm. A spherial iron ball is dropped into the tub and thus the level of water is raised by 6.75 cm. What is the radius of the ball?

Classify the following polynomials into linear quadratic and cubic polynomials : 7-sqrt(3)x

If he draws Rs 5000 on 5-10-2006 from the bank and the remaining data is the same then what is the interest paid to him by the bank on 1-11-2006? (inerestrate =4%)

The measure of an angle is twice the measure of its supplementary angle. Then, the measure of that angle is .............

Expand each of the following using suitable identities : (x+2x+4z)^(2)

Water is pouring into a conical vessel of diameter 5.2m. And slant height 6.8 m(as shown in the adjoining ) , at the rate of 1.8 m^(3)per minute .How long will it take to fill the vessel?

Classify the following as linear, quadratic and cubic polynomials : x-x^(3)

A cylindrical piller has a diameter of 56 cm and is of 35 m high. There are 16 pillars around the building. Find the cost of painting the curved surface area of all the pillars at the rate of rupes 5.50 per1m^(2)

Centuries scored and number of cricketers in the world are given below. Find the mean, median and mode of the given data.

A colour box measures 12 cm times 6 cm times 4 cm. Find the volume of a container which can hold 25 such boxes.

The value of sec29^(@)-cosec61^(@) is……………

The slant height and base diameter of a conical tombare 25 m and 14 m respectively.Find the cost of white-washing its curved surface atthe rate of Rs 210 per 100\ m^2.

Find the zero of the polynomial in each of the following cases : p(x) = 2x+5

If a man sells 7 horse and buys 9 cows his purchase increases by Rs. 176, but if he sells 13 cows and buys 9 horse decreases by Rs. 182 . Find the cost of a cow.

What principal will amount of Rs.560 in 3 years at 4% per annum simple interest?