1847 + Interview Questions in Maths in Class 9 Page 4 InterviewSolution

151.	Evaluate the following products without actual multiplication. (i) 101 xx 99 (ii) 999 xx999 (iii) 50 (1)/(2) xx 49 (1)/(2) (iii) 501 xx 501 (iv) 30.5 xx 29.5
Answer» ANSWER :`(i) 9999` (ii) 998011 (III) `(9999)/(4)= 2499 (3)/(4)` (IV) 251001 (V) `899.875`

Discussion

152.	If x=2 and y = 1 is one of the solutions of 4x+ky =11 ,then k = ........
Answer» 2 3 5 6 Answer :C

Discussion

153.	Without actually calculating the cube find the value of the following : (i) (-9)^(3)+(4)^(3)+(5)^(3) "" (ii) (-18)^(3)+(9)^(3)+(9)^(3) "" (iii) (16)^(3)+(1)^(3)+(-17)^(3) (iv) (8)^(3)+(3)^(3)+(-11)^(3).
Answer» ANSWER :`(i) -540 "" (ii) -4374 "" (III) -816 "" (IV) -792`

Discussion

154.	Ranjith opened a saivng bank account in a bank on 11-2-2006 with a deposit of Rs 5000 .He deposited Rs 1000 On 20-2-2006 and thereafter he neither deposited nor withdrew any amount .Find the interest received for the month of februrary 2006 at the rate of 4 % per annum
Answer» Rs 50/3 Rs 20 Rs 15227 He did not receive any INTEREST SOLUTION :(i) find the minimum balance held between the 10 day and the last day of the month (ii) calculate the minimum balance LET it be P (III) `Si =(PxxTxxR)/(100)`

Discussion

155.	Find A, if : (secA-2)(tan3A-1)=0
Answer» ANSWER :`A=60^(@) or 15^(@)`

Discussion

156.	Mahesh deposited Rs 5000 in Syndicate Bank for 6 months. If the bank pays compound interest at 12% per annum, reckoned quarterly, find the interest received by him.
Answer» SOLUTION :RS 304.50

Discussion

157.	The population of a village is 10,000. The daily requirement of water per day is 100 litres per person. The cuboidal water tank of the village measures 20 mtimes 15 m times 10 m. If the tank is filled completely, for how many days will the water of this tank last ?
Answer» ANSWER :3 DAYS

Discussion

158.	The median of observations 10, 11, 13, 17, x+5,20,22,24 and 53 (arranged in ascending order) is 18, find the value of x.
Answer» ANSWER :13

Discussion

159.	Find the mode of 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18.
Answer» ANSWER :14

Discussion

160.	If the bank pays an iterest of 4% per annum then what is the total interest he would received from the bank?
Answer» RS 169 Rs 269 Rs 469 Rs 369 Solution :USE the formula to find SIMPLE interest

Discussion

161.	Write an angorithm for evalutating x xx y - z + l+m+l-n
Answer»

Discussion

162.	Expand each of the following using suitable identities : [(1)/(4)a-(1)/(2)b+1]^(2)
Answer» ANSWER :`(1)/(16)a^(2) + (1)/(4)b^(2) + 1 - (1)/(4) AB - b + (1)/(2)a`

Discussion

163.	In triangleABC, AB gt BC and BC gt AC. Then, the smallest angle of triangleABC is ..........
Answer» `angle A` `angle C` `angle B` `angle A` or `angle C` Answer :OPTION 1

Discussion

164.	Expand each of the following using suitable identities : (2x-y+z)^(2)
Answer» ANSWER :`4X^(2) + y^(2) + Z^(2) - 4XY - 2YZ + 4zx`

Discussion

165.	A plastic box 1.5 m long, 1.25m wide and 65 cm deep is to be made. It is to be open at the top. Ignoringthe thickness of the plastic sheet, determine:(i) The area of the sheetrequired for making the box.(ii) The cost of sheet for it,if a
Answer» ANSWER :(i) 5.45 `m^(2)` (II) RS. 109

Discussion

166.	Solve for x : cos(x/2+10^(@))=sqrt(3)/2
Answer» ANSWER :`40^(@)`

Discussion

167.	Factorise : x^(3) - 27
Answer» ANSWER :`(X-3)(x^(2) + 3X +9)`

Discussion

168.	Out of quadrilaterals- Square , rectangle, rhomous, parallelogram and trapezium , a quadrilateral is chosen a radom . Find the probability that the quadrilateral chosen has (i) All the angles right angles . (ii) both the Diagonals are perpendicular to each other. (iii) the diagonals bisect each other.
Answer» ANSWER :(i) `(2)/(5)` (ii) `(4)/(5)` (III) `(3)/(5)` (iv)`(1)/(5)`

Discussion

169.	Find : (i) the lateral or curved surface area of a closed cylindrical petrol storage tank that is 4.2 m in diameter and 4.5 m high. (ii) how much steel was actually used, if 1/12 of the steel actually used was wasted in making the tank.
Answer» ANSWER :(i) 59.4 `m^(2)` (II) 95.04 `m^(2)`

Discussion

170.	In the given figure, ABCD is a cyclic quadrilateral where diagonals intersect at P such that angleDBC=40^(@) and angleBAC=60^(@) find (i) angleCAD (ii) angleBCD
Answer» ANSWER :(i) `40^(@)`, (II) `60^(@)`

Discussion

171.	Select the correct answer (MCQ) : (i) If x = 10 xx 9 xx 8 xx 7 xx 6 xx 5 xx 4 xx 3 xx 2 xx 1 = \|__10, then 1/(log_(2) + 1/(log_(3)x) + 1/(log_(4)x) + …………+ 1/(log_(10)x) =
Answer» `-1` `0` `1` `\|__10` ANSWER :C

Discussion

172.	Jahangir borrowed Rs 80,000 at the rate of 7% per annum at compound interest, interest being compounded annually. How much should he repay at the end of the first year, so that by repaying Rs 48,792 at the end of the first year, so that by repaying Rs 48,792 at the end of second year, then what is the rate of interest?
Answer» SOLUTION :RS 40,000

Discussion

173.	In triangle ABC , if angle A = 55^(@), angle B = 75^(@) then find out the smallestand longest side of the triangle .
Answer» Answer :SMALLEST Side = AB LONGEST Side = AC

Discussion

174.	Find mean deviation for the following data about median: {:("Class Interval",5-9,10-14,15-19,20-24,25-29),(f,5,9,12,8,6):}
Answer» Solution : `(N)/(2) = (40)/(2) = 20, L = 14.5, F = 14, f = 12, C = 5` `"Median" = L + ((N/2)-f)/(f) xx C` `=14.5 + (20-14)/(12) xx 5` `=14.5 + 2.5 = 17` `therefore "MD" = (Sum f\|x - bar(x)\|)/(N) "or" (sum fD)/(N)` `= (195)/(40) = 4.875`.

Discussion

175.	AFLATOUN social and financial educational program intiated savings program among the high school children in Hyderabad district. Mandal wise savings in a month are given in the following table Find arithmetic mean of school wise savings in each mandal. Also find the arithmetic mean of saving of all schools.
Answer» ANSWER :(i) ₹359, ₹413, ₹195, ₹228, ₹200, ₹837 (II) ₹444 SAVING PER SCHOOL.

Discussion

176.	If the volume of a right circular cone of height 9 cmis 48pic m^3, find thediameter of itsbase.
Answer» ANSWER :8 CM

Discussion

177.	Pythagoras was a student of
Answer» EUCLID Thales ARCHIMEDES BHASKARA Solution :Pythagoras was a student of thales

Discussion

178.	A point C is called the midpoint of a line segment bar(AB) if
Answer» C is an intrerior points of AB AC =CB C is an INTERIOR POINT of AB such that `BAR(AC) = bar(CB)` AC+CB=AB Solution :A point C is called the MIDPOINT of line segment `bar(AB)` if C is NA interiro point of `bar(AB)` such that `bar(AC)=bar(CB)`

Discussion

179.	If a and b be two integers such that-3
Answer» ANSWER :(i)-1 , 0, 1 : (II) -4, -3 , -2 (iii)2,3,4 (iv)-4, -2,-1

Discussion

180.	A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube ? Also, find the ratio between their surface areas.
Answer» Answer :The SIDE of each NEW CUBE is 6 cm. The required ratio of the TOTAL surface area of the original cube and the total surface area of a new cube is 4 : 1.

Discussion

181.	Evaluate : (cot^(2)41^(@))/(tan^(2)49^(@))-2(sin^(2)75^(@))/(cos^(2)15^(@))
Answer» ANSWER :`-1`

Discussion

182.	Find the volume of that largest cone that can be cut from a cube of edge 8 cm.
Answer» Answer :`134(2)/(21)CM^(3)`

Discussion

183.	Find the mean of 75 numbers, if the mean of 45 of them is 18 and the mean of the remaining ones is 13.
Answer» ANSWER :16

Discussion

184.	STEP is a parallelogram and ar (STEP) = 84 cm^(2) The length of the altitude of Delta APE is
Answer» `(7)/(4) cm` `(7)/(2) cm` 7 cm 14 cm Answer :C

Discussion

185.	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 rupees 5.50 per1m^(2)
Answer» ANSWER :` 5420 .80 ` RUPES

Discussion

186.	Select the correct answer (MCQ) : (4)^(log_9)3 =
Answer» 2 3 4 `SQRT(2)` ANSWER :A

Discussion

187.	Water flows at the rate of 10 metre per minute through a cylindrical pipe 5 mm in diameter. How long would it take to fill a conical vessel whose diameter at the surface 40 cm and depth 24 cm?
Answer» ANSWER :51 MIN 12 SEC

Discussion

188.	ABC is a rightangled triangle in which /_A"\ "="\ "90oand A B"\ "="\ "A C. Find /_B"\ "a n d/_Cdot
Answer» ANSWER :`45^(@)`

Discussion

189.	Examine whether the following numbers are rational or irrational. Give the decimal representation of rational numbers : (i)sqrt(2.56)""(ii)2sqrt(3)""(iii)(sqrt(36))/(20)""(iv)sqrt(8)
Answer» SOLUTION :N/a

Discussion

190.	A softdrink is available in two packs - (i) a tin canwith a rectangular base of length 5cm and width 4cm, having a height of 15cm and (ii) a plastic cylinderwith circular base of diameter 7cm and height 10cm. Which container hasgreater capacity and by how much?
Answer» ANSWER :(i) 300 `CM^(3)` (ii) 385 `cm^(3)`

Discussion

191.	If Rs.4000 more was invested in share A, 20 more shares can be purchased. If Rs.4000 less was invested in A, 2) less shares can be purchased. Find the market value of A. (in Rs.)
Answer» 100 150 200 300 Solution :Obtain the RELATION between the AMOUNT invested and the NUMBER of SHARES.

Discussion

192.	Expand :(3x-2)(3x-5)
Answer» ANSWER :`9X^(2) - 21X + 10`

Discussion

193.	(ii) The polar form of the equation (x^2+y^2)^(3/2)=a(x^2-y^2)in the Cartesian form is
Answer» `r=a COS theta` `r=a SIN theta` `r=a cos 2theta` `r=asin 2theta` Answer :C

Discussion

194.	Five person can accommodate in a conical tent. If each person requires 16 dm^(2) are on floor and 100 dm^(3) air for breathe, then find the height of the tent.
Answer» ANSWER :`18.75 m`

Discussion

195.	Factorise : 8x^(3) + 27y^(3) + 36x^(2)y + 54xy^(2)
Answer» ANSWER :`(2x+3y)(2x+3y)(2x+3y)`

Discussion

196.	A letter is selected at random from English alphabets . The probability of it being a roman number is
Answer» `5//26` `3//13` `7//26` `4//3` ANSWER :C

Discussion

197.	In triangleABC , P, Q and R are the midpoints of AB, BC and CA respectively . If ar(ABC)=____40 cm^2, then ar(PBCR)= ____cm^2
Answer» 10 20 30 40 Answer :C

Discussion

198.	Write the answer of each the question: Write the name of the point where these two lines intersect.
Answer» Answer :The point where these TWO LINES intersect is CALLED the origin and is denoted by 'O'.

Discussion

199.	Findrational numbers a and b such that .
Answer» Answer :(i) `a=3, B =-2`(ii) a=4,b=-9(iii)a=5, b=2(IV) a= 11, b= -6

Discussion

200.	The sides forming right angle of a right angled triangle are 15 cm and 8 cm. It is rotated about its hypotenuse. Find the volume and total surface area of the formed solid.
Answer» ANSWER :`887(47)/(119)CM^(2),510(30)/(119)cm^(2)`

Discussion

Explore topic-wise InterviewSolutions in .

Evaluate the following products without actual multiplication. (i) 101 xx 99 (ii) 999 xx999 (iii) 50 (1)/(2) xx 49 (1)/(2) (iii) 501 xx 501 (iv) 30.5 xx 29.5

If x=2 and y = 1 is one of the solutions of 4x+ky =11 ,then k = ........

Without actually calculating the cube find the value of the following : (i) (-9)^(3)+(4)^(3)+(5)^(3) "" (ii) (-18)^(3)+(9)^(3)+(9)^(3) "" (iii) (16)^(3)+(1)^(3)+(-17)^(3) (iv) (8)^(3)+(3)^(3)+(-11)^(3).

Ranjith opened a saivng bank account in a bank on 11-2-2006 with a deposit of Rs 5000 .He deposited Rs 1000 On 20-2-2006 and thereafter he neither deposited nor withdrew any amount .Find the interest received for the month of februrary 2006 at the rate of 4 % per annum

Find A, if : (secA-2)(tan3A-1)=0

Mahesh deposited Rs 5000 in Syndicate Bank for 6 months. If the bank pays compound interest at 12% per annum, reckoned quarterly, find the interest received by him.

The population of a village is 10,000. The daily requirement of water per day is 100 litres per person. The cuboidal water tank of the village measures 20 mtimes 15 m times 10 m. If the tank is filled completely, for how many days will the water of this tank last ?

The median of observations 10, 11, 13, 17, x+5,20,22,24 and 53 (arranged in ascending order) is 18, find the value of x.

Find the mode of 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18.

If the bank pays an iterest of 4% per annum then what is the total interest he would received from the bank?

Write an angorithm for evalutating x xx y - z + l+m+l-n

Expand each of the following using suitable identities : [(1)/(4)a-(1)/(2)b+1]^(2)

In triangleABC, AB gt BC and BC gt AC. Then, the smallest angle of triangleABC is ..........

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

A plastic box 1.5 m long, 1.25m wide and 65 cm deep is to be made. It is to be open at the top. Ignoringthe thickness of the plastic sheet, determine:(i) The area of the sheetrequired for making the box.(ii) The cost of sheet for it,if a

Solve for x : cos(x/2+10^(@))=sqrt(3)/2

Factorise : x^(3) - 27

Find : (i) the lateral or curved surface area of a closed cylindrical petrol storage tank that is 4.2 m in diameter and 4.5 m high. (ii) how much steel was actually used, if 1/12 of the steel actually used was wasted in making the tank.

In the given figure, ABCD is a cyclic quadrilateral where diagonals intersect at P such that angleDBC=40^(@) and angleBAC=60^(@) find (i) angleCAD (ii) angleBCD

Select the correct answer (MCQ) : (i) If x = 10 xx 9 xx 8 xx 7 xx 6 xx 5 xx 4 xx 3 xx 2 xx 1 = |__10, then 1/(log_(2) + 1/(log_(3)x) + 1/(log_(4)x) + …………+ 1/(log_(10)x) =

In triangle ABC , if angle A = 55^(@), angle B = 75^(@) then find out the smallestand longest side of the triangle .

Find mean deviation for the following data about median: {:("Class Interval",5-9,10-14,15-19,20-24,25-29),(f,5,9,12,8,6):}

If the volume of a right circular cone of height 9 cmis 48pic m^3, find thediameter of itsbase.

Pythagoras was a student of

A point C is called the midpoint of a line segment bar(AB) if

If a and b be two integers such that-3

A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube ? Also, find the ratio between their surface areas.

Evaluate : (cot^(2)41^(@))/(tan^(2)49^(@))-2(sin^(2)75^(@))/(cos^(2)15^(@))

Find the volume of that largest cone that can be cut from a cube of edge 8 cm.

Find the mean of 75 numbers, if the mean of 45 of them is 18 and the mean of the remaining ones is 13.

STEP is a parallelogram and ar (STEP) = 84 cm^(2) The length of the altitude of Delta APE is

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 rupees 5.50 per1m^(2)

Select the correct answer (MCQ) : (4)^(log_9)3 =

Water flows at the rate of 10 metre per minute through a cylindrical pipe 5 mm in diameter. How long would it take to fill a conical vessel whose diameter at the surface 40 cm and depth 24 cm?

ABC is a rightangled triangle in which /_A"\ "="\ "90oand A B"\ "="\ "A C. Find /_B"\ "a n d/_Cdot

Examine whether the following numbers are rational or irrational. Give the decimal representation of rational numbers : (i)sqrt(2.56)""(ii)2sqrt(3)""(iii)(sqrt(36))/(20)""(iv)sqrt(8)

A softdrink is available in two packs - (i) a tin canwith a rectangular base of length 5cm and width 4cm, having a height of 15cm and (ii) a plastic cylinderwith circular base of diameter 7cm and height 10cm. Which container hasgreater capacity and by how much?

If Rs.4000 more was invested in share A, 20 more shares can be purchased. If Rs.4000 less was invested in A, 2) less shares can be purchased. Find the market value of A. (in Rs.)

Expand :(3x-2)(3x-5)

(ii) The polar form of the equation (x^2+y^2)^(3/2)=a(x^2-y^2)in the Cartesian form is

Five person can accommodate in a conical tent. If each person requires 16 dm^(2) are on floor and 100 dm^(3) air for breathe, then find the height of the tent.

Factorise : 8x^(3) + 27y^(3) + 36x^(2)y + 54xy^(2)

A letter is selected at random from English alphabets . The probability of it being a roman number is

In triangleABC , P, Q and R are the midpoints of AB, BC and CA respectively . If ar(ABC)=____40 cm^2, then ar(PBCR)= ____cm^2

Write the answer of each the question: Write the name of the point where these two lines intersect.

Findrational numbers a and b such that .

The sides forming right angle of a right angled triangle are 15 cm and 8 cm. It is rotated about its hypotenuse. Find the volume and total surface area of the formed solid.

In triangleABC , P, Q and R are the midpoints of AB, BC and CA respectively . If ar(ABC)=40 cm^2, then ar(PBCR)= cm^2