25365 + Interview Questions in Mathematics Page 4 InterviewSolution

151.	If the radius of a right circular cylinder is doubled and its curved surface area is not changed, then its height must be _________.
Answer» If the radius of a right circular cylinder is doubled and its curved surface area is not changed, then its height must be _________.

Discussion

152.	Which of the following are like terms to 9pq2?
Answer» Which of the following are like terms to $9 p q^{2}$ ?

Discussion

153.	Question 8 (i)In the given figure, O is a point in the interior of a triangle ABC, OD ⊥ BC, OE ⊥ AC and OF ⊥ AB.Show that (i)OA2+OB2+OC2−OD2−OE2−OF2=AF2+BD2+CE2
Answer» Question 8 (i) In the given figure, O is a point in the interior of a triangle ABC, OD $⊥$ BC, OE $⊥$ AC and OF $⊥$ AB. Show that $(i) O A^{2} + O B^{2} + O C^{2} - O D^{2} - O E^{2} - O F^{2} = A F^{2} + B D^{2} + C E^{2}$

Discussion

154.	Choose the correct answerThe value of x in the equation 5x − 35 = 0 is:A. 2B. 7C. 8D. 11
Answer» Choose the correct answer The value of x in the equation 5x − 35 = 0 is: A. 2 B. 7 C. 8 D. 11

154.

Choose the correct answerThe value of x in the equation 5x − 35 = 0 is:A. 2B. 7C. 8D. 11

Answer»

Choose the correct answer

The value of x in the equation 5x − 35 = 0 is:

A. 2

B. 7

C. 8

D. 11

Discussion

155.	Question 62The cost of a book marked at Rs 190 after paying a sales tax of 2% is Rs. 192.
Answer» Question 62 The cost of a book marked at Rs 190 after paying a sales tax of 2% is Rs. 192.

155.

Question 62The cost of a book marked at Rs 190 after paying a sales tax of 2% is Rs. 192.

Answer»

Question 62

The cost of a book marked at Rs 190 after paying a sales tax of 2% is Rs. 192.

Discussion

156.	Find the volume of a cylinder whose radius r is equal to its height.
Answer» Find the volume of a cylinder whose radius r is equal to its height.

Discussion

157.	A man bought a certain number of oranges, out of which 13 percent were found rotten. He gave 75 percent of the remaining in charity and still has 522 oranges left. Find how many had he bought?
Answer» A man bought a certain number of oranges, out of which 13 percent were found rotten. He gave 75 percent of the remaining in charity and still has 522 oranges left. Find how many had he bought?

Discussion

158.	The monthly salary of a person is ₹15,000 and his expenditure is ₹8,000. Find the ratio of his savings to his income.
Answer» The monthly salary of a person is ₹15,000 and his expenditure is ₹8,000. Find the ratio of his savings to his income.

Discussion

159.	Factorise the expressions(i) ax2 + bx(ii) 7p2 + 21q2(iii) 2x3 + 2xy2 + 2xz2(iv) am2 + bm2 + bn2 + an2(v) (lm + l) + m + 1(vi) y(y + z) + 9(y + z)(vii) 5y2 − 20y − 8z + 2yz(viii) 10ab + 4a + 5b + 2(ix) 6xy − 4y + 6 − 9x
Answer» Factorise the expressions (i) ax² + bx (ii) 7p² + 21q² (iii) 2x³ + 2xy² + 2xz² (iv) am² + bm² + bn² + an² (v) (lm + l) + m + 1 (vi) y(y + z) + 9(y + z) (vii) 5y² − 20y − 8z + 2yz (viii) 10ab + 4a + 5b + 2 (ix) 6xy − 4y + 6 − 9x

159.

Factorise the expressions(i) ax2 + bx(ii) 7p2 + 21q2(iii) 2x3 + 2xy2 + 2xz2(iv) am2 + bm2 + bn2 + an2(v) (lm + l) + m + 1(vi) y(y + z) + 9(y + z)(vii) 5y2 − 20y − 8z + 2yz(viii) 10ab + 4a + 5b + 2(ix) 6xy − 4y + 6 − 9x

Answer»

Factorise the expressions

(i) ax² + bx

(ii) 7p² + 21q²

(iii) 2x³ + 2xy² + 2xz²

(iv) am² + bm² + bn² + an²

(v) (lm + l) + m + 1

(vi) y(y + z) + 9(y + z)

(vii) 5y² − 20y − 8z + 2yz

(viii) 10ab + 4a + 5b + 2

(ix) 6xy − 4y + 6 − 9x

Discussion

160.	Simplify the expression:(912)(8134)
Answer» Simplify the expression: $(9^{\frac{1}{2}}) (81^{\frac{3}{4}})$

Discussion

161.	Find the selling price if the profit is 5% a) a cycle of rupees 700 with rupees 50 as overhead charge
Answer» Find the selling price if the profit is 5% a) a cycle of rupees 700 with rupees 50 as overhead charge

161.

Find the selling price if the profit is 5% a) a cycle of rupees 700 with rupees 50 as overhead charge

Answer»

Find the selling price if the profit is 5%

a) a cycle of rupees 700 with rupees 50 as overhead charge

Discussion

162.	Question 202Construct a trapezium RISK in which RI∥KS, RI = 7 cm, IS = 5 cm, RK = 6.5 cm and ∠I=60∘.
Answer» Question 202 Construct a trapezium RISK in which $R I ∥ K S$ , RI = 7 cm, IS = 5 cm, RK = 6.5 cm and $∠ I = 60^{\circ}$ .

Discussion

163.	Rishi deposits Rs 250 per month for a period of 72 months in a recurring deposit account at the rate of 4.5% p.a. find the amount he gets on maturity
Answer» Rishi deposits Rs 250 per month for a period of 72 months in a recurring deposit account at the rate of 4.5% p.a. find the amount he gets on maturity

Discussion

164.	Factorize 16x5−144x3 and find its value for x=2.
Answer» Factorize $16 x^{5} - 144 x^{3}$ and find its value for x=2.

Discussion

165.	Find the value of 10010000.
Answer» Find the value of $\frac{100}{10000}$ .

Discussion

166.	11/2 is the rational number between 5 and 6 due to the fact that
Answer» 11/2 is the rational number between 5 and 6 due to the fact that

Discussion

167.	The perimeter of the given figure (in cm) is ___
Answer» The perimeter of the given figure (in cm) is ___

Discussion

168.	What would be the sample space S obtained when we roll a die?
Answer» What would be the sample space $S$ obtained when we roll a die?

Discussion

169.	Round 1: Car A and Car B start moving in opposite direction to each other from two different points which are 22.4 Km apart. They meet after 2 hours. Round 2: Car A and Car B start from same point in same direction and after 3 hours, difference of their covered distance becomes 26.4 Km.Given that speed of both cars remains same in both rounds and speed of car A > speed of car B.Find the speed of Car A(in Km/hr).
Answer» Round 1: Car A and Car B start moving in opposite direction to each other from two different points which are 22.4 Km apart. They meet after 2 hours. Round 2: Car A and Car B start from same point in same direction and after 3 hours, difference of their covered distance becomes 26.4 Km. Given that speed of both cars remains same in both rounds and speed of car A > speed of car B. Find the speed of Car A(in Km/hr).

Discussion

170.

Draw a histogram for the following frequency distribution. Use of electricity (Unit) 50 - 70 70 - 90 90 - 110 110 - 130 130 - 150 150 - 170 No. of families 150 400 460 540 600 350

Answer» Draw a histogram for the following frequency distribution.

Use of electricity (Unit)	50 - 70	70 - 90	90 - 110	110 - 130	130 - 150	150 - 170
No. of families	150	400	460	540	600	350

Discussion

171.	find the derivative of ax^{2n}\operatorname{log}x+bx^ne^{-x} with respect to x
Answer» find the derivative of ax^{2n}\operatorname{log}x+bx^ne^{-x} with respect to x

Discussion

172.	ABCD is a trapezium with parallel sides AB =a and DC = b. If E and F are mid-points of non-parallel sides AD and BC respectively, then the ratio of areas of quadrilaterals ABFE and EFCD is(a) a : b(b) (a + 3b): (3a + b)(c) (3a + b) : (a + 3b)(d) (2a + b) : (3a + b)
Answer» ABCD is a trapezium with parallel sides AB =a and DC = b. If E and F are mid-points of non-parallel sides AD and BC respectively, then the ratio of areas of quadrilaterals ABFE and EFCD is (a) a : b (b) (a + 3b): (3a + b) (c) (3a + b) : (a + 3b) (d) (2a + b) : (3a + b)

Discussion

173.	The monthly rainfall in Bangalore for 6 months is given below. What is the average rainfall for those 6 months?800 mm, 570 mm, 500 mm, 710 mm, 420 mm, 900 mm.
Answer» The monthly rainfall in Bangalore for 6 months is given below. What is the average rainfall for those 6 months? 800 mm, 570 mm, 500 mm, 710 mm, 420 mm, 900 mm.

Discussion

174.	Question 4 Parikshit makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How many such cuboids will he need to form a cube?
Answer» Question 4 Parikshit makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How many such cuboids will he need to form a cube?

Discussion

175.	The monthly salary of a person is ₹15,000 and his expenditure is ₹8,000. Find the ratio of his savings to income.
Answer» The monthly salary of a person is ₹ $15, 000$ and his expenditure is ₹ $8, 000$ . Find the ratio of his savings to income.

Discussion

176.	Quickest way to solve it If r3 = 1728 and s = (6859)1/3, then s2 r2 is
Answer» Quickest way to solve it If r3 = 1728 and s = (6859)1/3, then s2 r2 is

Discussion

177.	If the ratio of the domestic sale price of a commercial vehicle, a passenger vehicle, and a three wheeler is 5:3:2 then what percent of earnings (approximately to nearest natural number) is contributed by commercial vehicle segment to the overall earnings from domestic sales during the period 2004-2008?___
Answer» If the ratio of the domestic sale price of a commercial vehicle, a passenger vehicle, and a three wheeler is 5:3:2 then what percent of earnings (approximately to nearest natural number) is contributed by commercial vehicle segment to the overall earnings from domestic sales during the period 2004-2008?___

Discussion

178.	A solid cylindrical party popper having radius 7 cm and length 20 cm needs to be gift wrapped by a paper sheet. What is the area of sheet required to cover it completely ?
Answer» A solid cylindrical party popper having radius 7 cm and length 20 cm needs to be gift wrapped by a paper sheet. What is the area of sheet required to cover it completely ?

Discussion

179.	Oranges are bought at 6 for ₹ 20 and sold at 4 for ₹ 18. Find the gain or loss per cent.
Answer» Oranges are bought at 6 for ₹ 20 and sold at 4 for ₹ 18. Find the gain or loss per cent.

Discussion

180.	Find the missing number 2,6,?,61,121
Answer» Find the missing number 2,6,?,61,121

Discussion

181.	A circle with centre at the origin and radius equal to a meets the axis of x and A and B. P(α) and Q(β) are two points on this circle so that α−β=2γ, where γ is a constant. The locus of the point of intersection of AP and BQ is
Answer» A circle with centre at the origin and radius equal to a meets the axis of x and A and B. $P (α)$ and $Q (β)$ are two points on this circle so that $α - β = 2 γ$ , where $γ$ is a constant. The locus of the point of intersection of AP and BQ is

Discussion

182.	Find and correct the errors in the statement: 5y + 2y + y − 7y = 0
Answer» Find and correct the errors in the statement: 5y + 2y + y − 7y = 0

Discussion

183.	Slove 8x-3/3x =2
Answer» Slove 8x-3/3x =2

Discussion

184.	factorisation by splitting middle term
Answer» factorisation by splitting middle term

Discussion

185.	Write the following in decreasing order:.
Answer» Write the following in decreasing order: .

185.

Write the following in decreasing order:.

Answer»

Write the following in decreasing order:

.

Discussion

186.	The value of the 0! is .
Answer» The value of the $0!$ is .

Discussion

187.	25a2−4=
Answer» $25 a^{2} - 4 =$

Discussion

188.	Rashi ordered pizza and coke for her friends. The bill appeared like this where two digits now represented by A and B, were not visible clearly.A12+31B525So she decided to find the two digits A and B. What would be the values of A and B?
Answer» Rashi ordered pizza and coke for her friends. The bill appeared like this where two digits now represented by A and B, were not visible clearly. $\begin{matrix} A & 1 & 2 + 3 & 1 & B 5 & 2 & 5 \end{matrix}$ So she decided to find the two digits A and B. What would be the values of A and B?

188.

Rashi ordered pizza and coke for her friends. The bill appeared like this where two digits now represented by A and B, were not visible clearly.A12+31B525So she decided to find the two digits A and B. What would be the values of A and B?

Answer»

Rashi ordered pizza and coke for her friends. The bill appeared like this where two digits now represented by A and B, were not visible clearly.

$\begin{matrix} A & 1 & 2 + 3 & 1 & B 5 & 2 & 5 \end{matrix}$

So she decided to find the two digits A and B. What would be the values of A and B?

Discussion

189.	Question 9Following table gives the distribution of students of sections A and B of a class according to the marks obtained by them.Section ASection BMarksFrequencyMarksFrequency0−1550−15315−301215−301630−452830−452545−603045−602760−753560−754075−901375−9010Represent the marks of the students of both the sections on the same graph by two frequency polygons. What do you observe?
Answer» Question 9 Following table gives the distribution of students of sections A and B of a class according to the marks obtained by them. $\begin{matrix} Section A & Section B Marks & Frequency & Marks & Frequency 0 - 15 & 5 & 0 - 15 & 3 15 - 30 & 12 & 15 - 30 & 16 30 - 45 & 28 & 30 - 45 & 25 45 - 60 & 30 & 45 - 60 & 27 60 - 75 & 35 & 60 - 75 & 40 75 - 90 & 13 & 75 - 90 & 10 \end{matrix}$ Represent the marks of the students of both the sections on the same graph by two frequency polygons. What do you observe?

Discussion

190.	Factorise the fillowing. 6k^2 -10k+50
Answer» Factorise the fillowing. 6k^2 -10k+50

Discussion

191.	Factorise: 27x^3+y^3+z^3-9xy
Answer» Factorise: 27x^3+y^3+z^3-9xy

191.

Factorise: 27x^3+y^3+z^3-9xy

Answer»

Factorise:

27x^3+y^3+z^3-9xy

Discussion

192.	Question 1 (h)State whether true or false.(h) All squares are trapeziums.
Answer» Question 1 (h) State whether true or false. (h) All squares are trapeziums.

192.

Question 1 (h)State whether true or false.(h) All squares are trapeziums.

Answer»

Question 1 (h)

State whether true or false.

(h) All squares are trapeziums.

Discussion

193.	Question 106(ii) Simplify each of the following by using suitable property. Also, name the property [15×215]−[15×25]
Answer» Question 106(ii) Simplify each of the following by using suitable property. Also, name the property $[\frac{1}{5} \times \frac{2}{15}] - [\frac{1}{5} \times \frac{2}{5}]$

Discussion

194.	The graph shows the distribution of TV viewership for TV channels in the year 2012-13. The % distribution for entertainment is ___
Answer» The graph shows the distribution of TV viewership for TV channels in the year 2012-13. The % distribution for entertainment is ___

194.

The graph shows the distribution of TV viewership for TV channels in the year 2012-13. The % distribution for entertainment is ___

Answer»

The graph shows the distribution of TV viewership for TV channels in the year 2012-13. The % distribution for entertainment is ___

Discussion

195.	Question 1To divide a line segment AB in the ratio 5:7 first a ray AX is drawn so that ∠BAX is an acute angle and then at equal distances points are marked on the ray AX such that the minimum number of these points is(A) 8(B) 10(C) 11(D) 12
Answer» Question 1 To divide a line segment AB in the ratio 5:7 first a ray AX is drawn so that $∠$ BAX is an acute angle and then at equal distances points are marked on the ray AX such that the minimum number of these points is (A) 8 (B) 10 (C) 11 (D) 12

Discussion

196.	In the given figure, ABCD is a quadrilateral. A line through D, parallel to AC, meets BC produced in P. Prove that:(i) Area (□ ABCD) = Area (△ PAB)(ii) If the area of △ DAC is 23 sq.cm, then what will be the area of △ PAC ?
Answer» In the given figure, ABCD is a quadrilateral. A line through D, parallel to AC, meets BC produced in P. Prove that: (i) Area ( $□$ ABCD) = Area ( $△$ PAB) (ii) If the area of $△$ DAC is 23 sq.cm, then what will be the area of $△$ PAC ?

Discussion

197.	If a + b = 8 and ab = 6, find the value of a3 + b3
Answer» If a + b = 8 and ab = 6, find the value of a³ + b³

Discussion

198.	Question 35 In the given question, state whether the given statement is True or False. A three-digit number abc is divisible by 5, if c is an even number.
Answer» Question 35 In the given question, state whether the given statement is True or False. A three-digit number abc is divisible by 5, if c is an even number.

Discussion

199.	114% as a fraction is(a) 140(b) 160(c) 180(d) 170
Answer» $1 \frac{1}{4} %$ as a fraction is (a) $\frac{1}{40}$ (b) $\frac{1}{60}$ (c) $\frac{1}{80}$ (d) $\frac{1}{70}$

Discussion

200.	Concept of an element was given by?
Answer» Concept of an element was given by?

Discussion

Explore topic-wise InterviewSolutions in .

If the radius of a right circular cylinder is doubled and its curved surface area is not changed, then its height must be _________.

Which of the following are like terms to 9pq2?

Question 8 (i)In the given figure, O is a point in the interior of a triangle ABC, OD ⊥ BC, OE ⊥ AC and OF ⊥ AB.Show that (i)OA2+OB2+OC2−OD2−OE2−OF2=AF2+BD2+CE2

Choose the correct answerThe value of x in the equation 5x − 35 = 0 is:A. 2B. 7C. 8D. 11

Question 62The cost of a book marked at Rs 190 after paying a sales tax of 2% is Rs. 192.

Find the volume of a cylinder whose radius r is equal to its height.

A man bought a certain number of oranges, out of which 13 percent were found rotten. He gave 75 percent of the remaining in charity and still has 522 oranges left. Find how many had he bought?

The monthly salary of a person is ₹15,000 and his expenditure is ₹8,000. Find the ratio of his savings to his income.

Factorise the expressions(i) ax2 + bx(ii) 7p2 + 21q2(iii) 2x3 + 2xy2 + 2xz2(iv) am2 + bm2 + bn2 + an2(v) (lm + l) + m + 1(vi) y(y + z) + 9(y + z)(vii) 5y2 − 20y − 8z + 2yz(viii) 10ab + 4a + 5b + 2(ix) 6xy − 4y + 6 − 9x

Simplify the expression:(912)(8134)

Find the selling price if the profit is 5% a) a cycle of rupees 700 with rupees 50 as overhead charge

Question 202Construct a trapezium RISK in which RI∥KS, RI = 7 cm, IS = 5 cm, RK = 6.5 cm and ∠I=60∘.

Rishi deposits Rs 250 per month for a period of 72 months in a recurring deposit account at the rate of 4.5% p.a. find the amount he gets on maturity

Factorize 16x5−144x3 and find its value for x=2.

Find the value of 10010000.

11/2 is the rational number between 5 and 6 due to the fact that

The perimeter of the given figure (in cm) is ___

What would be the sample space S obtained when we roll a die?

Draw a histogram for the following frequency distribution. Use of electricity (Unit) 50 - 70 70 - 90 90 - 110 110 - 130 130 - 150 150 - 170 No. of families 150 400 460 540 600 350

find the derivative of ax^{2n}\operatorname{log}x+bx^ne^{-x} with respect to x

ABCD is a trapezium with parallel sides AB =a and DC = b. If E and F are mid-points of non-parallel sides AD and BC respectively, then the ratio of areas of quadrilaterals ABFE and EFCD is(a) a : b(b) (a + 3b): (3a + b)(c) (3a + b) : (a + 3b)(d) (2a + b) : (3a + b)

The monthly rainfall in Bangalore for 6 months is given below. What is the average rainfall for those 6 months?800 mm, 570 mm, 500 mm, 710 mm, 420 mm, 900 mm.

Question 4 Parikshit makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How many such cuboids will he need to form a cube?

The monthly salary of a person is ₹15,000 and his expenditure is ₹8,000. Find the ratio of his savings to income.

Quickest way to solve it If r3 = 1728 and s = (6859)1/3, then s2 r2 is

A solid cylindrical party popper having radius 7 cm and length 20 cm needs to be gift wrapped by a paper sheet. What is the area of sheet required to cover it completely ?

Oranges are bought at 6 for ₹ 20 and sold at 4 for ₹ 18. Find the gain or loss per cent.

Find the missing number 2,6,?,61,121

A circle with centre at the origin and radius equal to a meets the axis of x and A and B. P(α) and Q(β) are two points on this circle so that α−β=2γ, where γ is a constant. The locus of the point of intersection of AP and BQ is

Find and correct the errors in the statement: 5y + 2y + y − 7y = 0

Slove 8x-3/3x =2

factorisation by splitting middle term

Write the following in decreasing order:.

The value of the 0! is .

25a2−4=

Rashi ordered pizza and coke for her friends. The bill appeared like this where two digits now represented by A and B, were not visible clearly.A12+31B525So she decided to find the two digits A and B. What would be the values of A and B?

Factorise the fillowing. 6k^2 -10k+50

Factorise: 27x^3+y^3+z^3-9xy

Question 1 (h)State whether true or false.(h) All squares are trapeziums.

Question 106(ii) Simplify each of the following by using suitable property. Also, name the property [15×215]−[15×25]

The graph shows the distribution of TV viewership for TV channels in the year 2012-13. The % distribution for entertainment is ___

Question 1To divide a line segment AB in the ratio 5:7 first a ray AX is drawn so that ∠BAX is an acute angle and then at equal distances points are marked on the ray AX such that the minimum number of these points is(A) 8(B) 10(C) 11(D) 12​​​​​​​

In the given figure, ABCD is a quadrilateral. A line through D, parallel to AC, meets BC produced in P. Prove that:(i) Area (□ ABCD) = Area (△ PAB)(ii) If the area of △ DAC is 23 sq.cm, then what will be the area of △ PAC ?

If a + b = 8 and ab = 6, find the value of a3 + b3

Question 35 In the given question, state whether the given statement is True or False. A three-digit number abc is divisible by 5, if c is an even number.

114% as a fraction is(a) 140(b) 160(c) 180(d) 170

Concept of an element was given by?

Question 1To divide a line segment AB in the ratio 5:7 first a ray AX is drawn so that ∠BAX is an acute angle and then at equal distances points are marked on the ray AX such that the minimum number of these points is(A) 8(B) 10(C) 11(D) 12