1847 + Interview Questions in Maths in Class 9 Page 8 InterviewSolution

351.	In 10 numbers, arranged in increasing order, the 7^(th) number is increased by 8, how much will the median be changed ?
Answer» ANSWER :no CHANGE

Discussion

352.	A monkey climbing up a pole ascends 6 metres and slips 3 metres in alternate minutes. If the pole is 60 metres high, how long will it take the monkey to reach the top?
Answer» ANSWER :9 SEC

Discussion

353.	In the given figure, ABCD is a rectangle and EFGH is a parallelogram. Using the measurements given in the figure, what is the length ''d'' of the segment that is perpendicular to overline(HE) and overline(FG) ?
Answer» ANSWER :7.6

Discussion

354.	A sum of money was invested for 3 years, interest being compounded annually. The rates for successive years were 10%, 15% and 18% respectively. If the compound interest for the second year amounted to 4,950, find the sum invested.
Answer» ANSWER :RS 30,000

Discussion

355.	If 2cos2A=sqrt(3) and A is acute, find : A
Answer» ANSWER :`15^(@)`

Discussion

356.	ABC is an isosceles triangle with AB = AC. Draw AP bot BC to show that angle B = angle C
Answer» ANSWER :`ANGLEC`

Discussion

357.	State which of the following expressions are a polynomial in one variable and which are not : x^(3) + y^(3) + z^(3) - 3xyz
Answer» ANSWER :Is not a POLYNOMIAL in ONE VARIABLE.

Discussion

358.	Check whether the value of x given against each polynomial is a zero of that polynomial or not : p(x) = 4x-1, x = 4, (1)/(4)
Answer» ANSWER :`p(4) = 15, p((1)/(4)) = 0`

Discussion

359.	Which of the following is a formula to find the sum of interior angles of a quadrilateral of n-sides ?
Answer» `n/2xx180` `((n+1)/(2))180^(@)` `((n-1)/(2))180^(@)` `(n-2)180^(@)` ANSWER :D

Discussion

360.	If the polynomials 2x ^(3) + ax ^(2) + 3x -5 and x ^(3) + x ^(2) - 4x +a leave the same remainder when divided by x -2, find te value of a.
Answer» ANSWER :`(-13)/(3)`

Discussion

361.	Find the valueof 8sin2x.cos4x.sin6x, when x=15^(@).
Answer» ANSWER :2

Discussion

362.	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

363.	A ABC is inscribed in a circle with centre o and radius 5 cm and AC is a diameter of the circle. If AB = 8 cm, then BC = ......... cm.
Answer» 10 8 6 15 Answer :C

Discussion

364.	Solve for x : sin^(2)x+sin^(2)30^(@)=1
Answer» ANSWER :`60^(@)`

Discussion

365.	Find the mean of the following data : 30,32,24,34, 26,28, 30, 35, 33, 25 Find the median of the given data.
Answer» ANSWER :30

Discussion

366.	compare : log 25, log 250 and log0.025
Answer»

Discussion

367.	Ajay borrowed Rs 4000 at 10% per annum for 4 years under simple interest. But, after 2 years he was asked to pay compound interest for the remaining 2 years on the initially borrowed amount. How much Ajay have to pay additionally if interest was compounded annually? (in Rs)
Answer» 40 20 80 160 Solution :i) FIND SI on Rs 4000 at 10% per annum for 4 years. ii) Find the SUM of SI on Rs 4000 at 10% per annum for 2 years and CI on 4000 at 10% per annum for 2 years. iii) Find the difference of the above two.

Discussion

368.	Find the lower class-boundary of the continuous frequency distribution of which the mid-value is m and the upper class-boundary is u.
Answer» ANSWER :`=2m-u`

Discussion

369.	If lines AB,AC,AD and AE are parallel to a line l show that points A,B,C,D and E are collinear.
Answer» Solution :Given : LINE AB, AC, AD and AE are parallel to a line l. To prove : A, B, C, D, E are collinear. PROOF : Since AB, AC, AD, AE are all parallel to a line l, it follows that A is a point outside l, through which lines AB,AC,AD and AE are drawn, each parallel to l. But by parallel lines AXIOMS one and only one line can be drawn through A and parallel to l. This is possible only when A,B,C,D,E all lie on the same line. Hence, A,B,C,D,E are collinear.

Discussion

370.	What do you mean by equivalent rational numbers ? Explain with examples ?
Answer»

Discussion

371.	In triangleXYZ, angleX = 45^(@) and angleZ = 60^(@). Then, ........ is the longest side of triangleXYZ.
Answer» XY YZ XZ XY or YZ

Discussion

372.	Classify the following numbers as rational or irrational. 2pi
Answer» ANSWER :IRRATIONAL

Discussion

373.	Find the remainder when x^(3) + ax^(2) + 6x - a is divided by x - a .
Answer» ANSWER :`2A^(3)+5A`

Discussion

374.	It being giventhat sqrt(3) = 1.732, sqrt(5) = 2.236, sqrt(6) = 2.449 and sqrt(10) = 3.162, find to threeplaces of decimal, thevalue of thefollowing .(i) (1)/(sqrt(6) + sqrt(5)) (ii) (6)/(sqrt(5) + sqrt(3)) (iii) (1)/(4sqrt(3) - 3sqrt(5))(iv) (3 + sqrt(5))/(3-sqrt(5))(v) (1+2sqrt(3))/(2-sqrt(3)) (vi) (sqrt(5) + sqrt(2))/(sqrt(5) - sqrt(2))
Answer» Answer :(i) 0.213(ii) `2sqrt(2)` (III)4.545(iv)6.854(V) 16.660(VI) 4.441

Discussion

375.	A joker’s cap is in the form of a right circular coneof base radius 7 cm and height 24 cm. Find the area of the sheet required to make 10such caps.
Answer» ANSWER :5500 `CM^(2)`

Discussion

376.	Evaluate : (cos3A-3cos4A)/(sin3A+2sin4A)," when "A=15^(@).
Answer» ANSWER :`(1-SQRT(2))/(1+sqrt(6))=1/5(sqrt(6)-1-2sqrt(3)+sqrt(2))`

Discussion

377.	Evaluate: cos^(2)25^(@)-sin^(2)65^(@)-tan^(2)45^(@)
Answer» ANSWER :`-1`

Discussion

378.	A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. Find the volume of the solid so obtained.
Answer» ANSWER :`100picm^(3)`

Discussion

379.	On plotting the points O(0,0),A(3,-4),B(3,4) andC(0,4) and joining OA, AB ,BC and CO, which of the following figure is obtained?
Answer» SQUARE RECTANGLE TRAPEZIUM RHOMBUS ANSWER :Trapezium

Discussion

380.	If x-1 is a factor of 4x^(3) + 3x^(2) - 4x + k, find the value of k.
Answer» ANSWER :`K = -3`

Discussion

381.	Find the value of : cos^(2)60^(@)+sin^(2)30^(@)
Answer» ANSWER :`1/2`

Discussion

382.	Find the remainder when x^(3) + 3x^(2) + 3x+1 is divided by : 5 + 2x
Answer» ANSWER :`-(27)/(8)`

Discussion

383.	Ifa=xy^(p-1), b= xy^(q-1), c =xy^(r-1) then show that a^(q-r)b^(r-p)c^(p-q)?
Answer» ANSWER :1

Discussion

384.	The mean of 40 observations was 160. It was detected that the value of 165 was wrongly copied as 125. Find the correct mean.
Answer» ANSWER :161

Discussion

385.	what is meaningof the statement - the rational numbers are dense on the number line ?
Answer» Answer :the statement MEANS that there exists infinity number of rational NUMBERS in between any two rational NUMBERSON the NUMBERLINE .

Discussion

386.	In triangle PQR, PQ = PR, QR is extended to S and angle PRS = 110^(@). Then, anglePQR = .........
Answer» `30^(@)` `50^(@)` `80^(@)` `70^(@)` ANSWER :OPTION 4

Discussion

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

Discussion

388.	Solve the equation x - 10 = 15, State which axiom do you use here.
Answer» ANSWER :SECOND AXION

Discussion

389.	Expand : ((1)/(2)x + (1)/(3)y)((1)/(2)x - (1)/(3)y)
Answer» ANSWER :`(1)/(4)x^(2) - (1)/(9)y^(2)`

Discussion

390.	State whether the following statements are true or false? Also give reasons for your answers. a) Only one line can pass through a given point. b) All right angles are equal. c) Circles with same radii are equal. d) A line segment can be extended on its both sides endlessly to get a straight line. e) From the figure, AB gt AC.
Answer» ANSWER :(a) False,(B) TRUE, ( c) true, (d) True , (E) true,

Discussion

391.	Find the values of x and y in the figures given below
Answer» ANSWER :`x^@ = 75^@, y^@ = 75^@`(ii) `x^@ = 70^@; y^@ = 95^@` (III) `x^@ = 90^@ ; y^@= 40^@`

Discussion

392.	When two balanced dice are thrown simultaneously , the probility of getting the total of numbers of dice as 9 is .........
Answer» `1/9` `1/6` `1/3` `1/12` ANSWER :A

Discussion

393.	Construct a DeltaABC in which AB = 4 cm, BC = 5.2 cm and CA = 4.5 cm.
Answer» Solution :Steps of construction : 1. DRAW `BC = 5.2 cm.` 2. With `B` as centre and radius `4 cm`, draw an arc. 3. With `C` as centre and radius `4.5 cm`, draw another arc which cuts the first arc at`A`. 3. JOIN `AB` and `AC`. `therefore DeltaABC` is the required triangle.

Discussion

394.	A sum is split into two equal parts. One of the parts is lent at simple interest at 4% per annum for one year. The other part is further split into three equal parts. These are lent at compound interests, interests being compounded annually. These are lent at 10% per annum for 4 years, 20% per anuum for 2 years and 40% per annum for 1 year. The difference between the total compound interest and simple interest is Rs 1184.10 Find the sum. in Rs.
Answer» 3000 4000 5000 6000 Solution :i) Let the TOTAL sum be RS `2x`. ii) `SI = (x xx 4x)/100`. iii) Total CI `=x/3[(1+10/100)p^(4)-1]+x/3[(1+20/100)^(2)-1]+x/3[(1+40/100)^(1)-1]`. IV) Use, CI-SI = `1184.10`.

Discussion

395.	Two persons each lent Rs 2000 at simple interest for 2 years. The difference between the simple interest received by them is Rs 20. Find the difference between the rates of interest.
Answer» SOLUTION :0.005

Discussion

396.	ABCD is a parallelogram in which BC is produced to E such that CE=BC and AE intersects CD at F. If ar.(DeltaDFB)=30cm^(2), find the area of parallelogram
Answer» ANSWER :`120 cm^2`

Discussion

397.	If ax + by + c = 0, bx + cy + ay + b = 0 passes through the same ordered pair, then show that a^(3) + b^(3) + c^(3) - 3 abc = 0
Answer»

Discussion

398.	It costs Rs. 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of Rs. 20 per m^(2), find (i) inner curved surface area of the vessel, (ii) radius of the base and (iii) capacity of the vessel.
Answer» ANSWER :(i) 110 `m^(2)` (II) 3.0655 m (iii) 346.7451 kilolitres

Discussion

399.	Shares A and B have face values of Rs.100 each. A is sold at Rs.x premium, and B is sold at Rs.x discount. The rate of return from each is x%. The sum of the annual dividends from both is Rs.10. Find x.
Answer» 4 8 5 10 Solution :(i) Find the annual dividend from A and B. (ii) MV of share A = 100 + x. MV of share B = 100 - x (iii) Dividend from share A = `x%` of `(100+x)`, where `x%` is the RATE of return and `(100+x)` is the MV. (IV) Similarly, find dividend from share B. (v) Equate TOTAL dividend in x to 10.

Discussion

400.	Ashok invests a certain sum of money at 20% per annum, compounded yearly. Geeta invests an equal amount of money at the same rate of interest per annum compounded half-yearly. If Geeta gets Rs 33 more than Ashok in 18 months, calculate the money invested.
Answer» ANSWER :RS 3,000

Discussion

Explore topic-wise InterviewSolutions in .

In 10 numbers, arranged in increasing order, the 7^(th) number is increased by 8, how much will the median be changed ?

A monkey climbing up a pole ascends 6 metres and slips 3 metres in alternate minutes. If the pole is 60 metres high, how long will it take the monkey to reach the top?

In the given figure, ABCD is a rectangle and EFGH is a parallelogram. Using the measurements given in the figure, what is the length ''d'' of the segment that is perpendicular to overline(HE) and overline(FG) ?

A sum of money was invested for 3 years, interest being compounded annually. The rates for successive years were 10%, 15% and 18% respectively. If the compound interest for the second year amounted to 4,950, find the sum invested.

If 2cos2A=sqrt(3) and A is acute, find : A

ABC is an isosceles triangle with AB = AC. Draw AP bot BC to show that angle B = angle C

State which of the following expressions are a polynomial in one variable and which are not : x^(3) + y^(3) + z^(3) - 3xyz

Check whether the value of x given against each polynomial is a zero of that polynomial or not : p(x) = 4x-1, x = 4, (1)/(4)

Which of the following is a formula to find the sum of interior angles of a quadrilateral of n-sides ?

If the polynomials 2x ^(3) + ax ^(2) + 3x -5 and x ^(3) + x ^(2) - 4x +a leave the same remainder when divided by x -2, find te value of a.

Find the valueof 8sin2x.cos4x.sin6x, when x=15^(@).

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 ABC is inscribed in a circle with centre o and radius 5 cm and AC is a diameter of the circle. If AB = 8 cm, then BC = ......... cm.

Solve for x : sin^(2)x+sin^(2)30^(@)=1

Find the mean of the following data : 30,32,24,34, 26,28, 30, 35, 33, 25 Find the median of the given data.

compare : log 25, log 250 and log0.025

Ajay borrowed Rs 4000 at 10% per annum for 4 years under simple interest. But, after 2 years he was asked to pay compound interest for the remaining 2 years on the initially borrowed amount. How much Ajay have to pay additionally if interest was compounded annually? (in Rs)

Find the lower class-boundary of the continuous frequency distribution of which the mid-value is m and the upper class-boundary is u.

If lines AB,AC,AD and AE are parallel to a line l show that points A,B,C,D and E are collinear.

What do you mean by equivalent rational numbers ? Explain with examples ?

In triangleXYZ, angleX = 45^(@) and angleZ = 60^(@). Then, ........ is the longest side of triangleXYZ.

Classify the following numbers as rational or irrational. 2pi

Find the remainder when x^(3) + ax^(2) + 6x - a is divided by x - a .

A joker’s cap is in the form of a right circular coneof base radius 7 cm and height 24 cm. Find the area of the sheet required to make 10such caps.

Evaluate : (cos3A-3cos4A)/(sin3A+2sin4A)," when "A=15^(@).

Evaluate: cos^(2)25^(@)-sin^(2)65^(@)-tan^(2)45^(@)

A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. Find the volume of the solid so obtained.

On plotting the points O(0,0),A(3,-4),B(3,4) andC(0,4) and joining OA, AB ,BC and CO, which of the following figure is obtained?

If x-1 is a factor of 4x^(3) + 3x^(2) - 4x + k, find the value of k.

Find the value of : cos^(2)60^(@)+sin^(2)30^(@)

Find the remainder when x^(3) + 3x^(2) + 3x+1 is divided by : 5 + 2x

Ifa=xy^(p-1), b= xy^(q-1), c =xy^(r-1) then show that a^(q-r)*b^(r-p)*c^(p-q)?

The mean of 40 observations was 160. It was detected that the value of 165 was wrongly copied as 125. Find the correct mean.

what is meaningof the statement - the rational numbers are dense on the number line ?

In triangle PQR, PQ = PR, QR is extended to S and angle PRS = 110^(@). Then, anglePQR = .........

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

Solve the equation x - 10 = 15, State which axiom do you use here.

Expand : ((1)/(2)x + (1)/(3)y)((1)/(2)x - (1)/(3)y)

Find the values of x and y in the figures given below

When two balanced dice are thrown simultaneously , the probility of getting the total of numbers of dice as 9 is .........

Construct a DeltaABC in which AB = 4 cm, BC = 5.2 cm and CA = 4.5 cm.

Two persons each lent Rs 2000 at simple interest for 2 years. The difference between the simple interest received by them is Rs 20. Find the difference between the rates of interest.

ABCD is a parallelogram in which BC is produced to E such that CE=BC and AE intersects CD at F. If ar.(DeltaDFB)=30cm^(2), find the area of parallelogram

If ax + by + c = 0, bx + cy + ay + b = 0 passes through the same ordered pair, then show that a^(3) + b^(3) + c^(3) - 3 abc = 0

It costs Rs. 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of Rs. 20 per m^(2), find (i) inner curved surface area of the vessel, (ii) radius of the base and (iii) capacity of the vessel.

Shares A and B have face values of Rs.100 each. A is sold at Rs.x premium, and B is sold at Rs.x discount. The rate of return from each is x%. The sum of the annual dividends from both is Rs.10. Find x.

Ashok invests a certain sum of money at 20% per annum, compounded yearly. Geeta invests an equal amount of money at the same rate of interest per annum compounded half-yearly. If Geeta gets Rs 33 more than Ashok in 18 months, calculate the money invested.

Ifa=xy^(p-1), b= xy^(q-1), c =xy^(r-1) then show that a^(q-r)b^(r-p)c^(p-q)?