25365 + Interview Questions in Mathematics Page 102 InterviewSolution

5051.	Question 45State whether the following statement is true (T) or false (F).If x11=15, then x=1115.
Answer» Question 45 State whether the following statement is true (T) or false (F). If $\frac{x}{11} = 15, t h e n x = \frac{11}{15} .$

5051.

Question 45State whether the following statement is true (T) or false (F).If x11=15, then x=1115.

Answer»

Question 45

State whether the following statement is true (T) or false (F).

If $\frac{x}{11} = 15, t h e n x = \frac{11}{15} .$

5052.	44 Find time taken by particle in going from x=A/2 to x=A
Answer» 44 Find time taken by particle in going from x=A/2 to x=A

Discussion

5053.	Write about prism
Answer» Write about prism

Discussion

5054.	Draw a polygon and shade its interior. Also draw its diagonals, if any.
Answer» Draw a polygon and shade its interior. Also draw its diagonals, if any.

Discussion

5055.	Find the radius and centre of the circle given by the equation x2 + y2 + 22x + 40y + = 0.
Answer» Find the radius and centre of the circle given by the equation $x^{2}$ + $y^{2}$ + 22x + 40y + = 0.

Discussion

5056.	The book value of furniture on 1st April, 2017 is ₹ 60,000. Half of this furniture is sold for ₹ 20,000 on 30th September,2017. Depreciation is to be charged on furniture 10% p.a.Calculate loss on sale of furniture . Show how the loss on sale and depreciation on furniture will be shown in the Income and Expenditure Account for the year ended 31st March, 2018.
Answer» The book value of furniture on 1st April, 2017 is ₹ 60,000. Half of this furniture is sold for ₹ 20,000 on 30th September,2017. Depreciation is to be charged on furniture 10% p.a. Calculate loss on sale of furniture . Show how the loss on sale and depreciation on furniture will be shown in the Income and Expenditure Account for the year ended 31st March, 2018.

Discussion

5057.	a+b+c=9,ab+bc+ca=40,a^2b^2c^2=
Answer» a+b+c=9,ab+bc+ca=40,a^2b^2c^2=

Discussion

5058.	5x+1/5x+1 + 2x = -2x , find the value of x.
Answer» 5x+1/5x+1 + 2x = -2x , find the value of x.

Discussion

5059.	Dividing 4x2−10x+6 by 2, we get ______.
Answer» Dividing $4 x^{2} - 10 x + 6$ by $2$ , we get ______.

Discussion

5060.	Question 78Fill in the blanks to make the statements true.The measure of ___ angle of a concave quadrilateral is more than 180∘.
Answer» Question 78 Fill in the blanks to make the statements true. The measure of ___ angle of a concave quadrilateral is more than $180^{\circ}$ .

Discussion

5061.	The slope of a line is √3. Find the equation of a line perpendicular to this line having y-intercept as −√2.
Answer» The slope of a line is $\sqrt{3}$ . Find the equation of a line perpendicular to this line having $y$ -intercept as $- \sqrt{2} .$

Discussion

5062.	Question 6 Curved surface area of a right circular cylinder is 4.4 m2. If the radius of the base of the cylinder is 0.7 m, find its height. [Assume π=227]
Answer» Question 6 Curved surface area of a right circular cylinder is $4.4 m^{2}$ . If the radius of the base of the cylinder is 0.7 m, find its height. $[A s s u m e π = \frac{22}{7}]$

Discussion

5063.	Question 39The loss per cent on selling 140 geometry boxes at the loss of SP of 10 geometry boxes is equal to ___.
Answer» Question 39 The loss per cent on selling 140 geometry boxes at the loss of SP of 10 geometry boxes is equal to ___.

5063.

Question 39The loss per cent on selling 140 geometry boxes at the loss of SP of 10 geometry boxes is equal to ___.

Answer»

Question 39

The loss per cent on selling 140 geometry boxes at the loss of SP of 10 geometry boxes is equal to ___.

Discussion

5064.	Question 90 (xii) Factorise the following, using the identity, a2−2ab+b2=(a−b)2. 9y2−4xy+4x29
Answer» Question 90 (xii) Factorise the following, using the identity, $a^{2} - 2 a b + b^{2} = (a - b)^{2}$ . $9 y^{2} - 4 x y + \frac{4 x^{2}}{9}$

Discussion

5065.	Work out the followingdivisions.(i) (10x −25) ÷ 5(ii) (10x −25) ÷ (2x − 5) (iii) 10y(6y+ 21) ÷ 5(2y + 7)(iv) 9x2y2(3z− 24) ÷ 27xy(z − 8)(v) 96abc(3a− 12)(5b − 30) ÷ 144(a − 4) (b− 6)
Answer» Work out the following divisions. (i) (10x − 25) ÷ 5 (ii) (10x − 25) ÷ (2x − 5) (iii) 10y(6y + 21) ÷ 5(2y + 7) (iv) 9x²y²(3z − 24) ÷ 27xy(z − 8) (v) 96abc(3a − 12)(5b − 30) ÷ 144(a − 4) (b − 6)

5065.

Work out the followingdivisions.(i) (10x −25) ÷ 5(ii) (10x −25) ÷ (2x − 5) (iii) 10y(6y+ 21) ÷ 5(2y + 7)(iv) 9x2y2(3z− 24) ÷ 27xy(z − 8)(v) 96abc(3a− 12)(5b − 30) ÷ 144(a − 4) (b− 6)

Answer»

Work out the following
divisions.

(i) (10x −
25) ÷ 5

(ii) (10x −
25) ÷ (2x − 5)

(iii) 10y(6y
+ 21) ÷ 5(2y + 7)

(iv) 9x²y²(3z
− 24) ÷ 27xy(z − 8)

(v) 96abc(3a
− 12)(5b − 30) ÷ 144(a − 4) (b
− 6)

Discussion

5066.	Plot the graphs of the following equations on the same co-ordinate system. [4 MARKS] (i) y = 2x - 3 (ii) x + y = 6
Answer» Plot the graphs of the following equations on the same co-ordinate system. [4 MARKS] (i) y = 2x - 3 (ii) x + y = 6

Discussion

5067.	Find the value x in the follwoing statement:x2−9=72
Answer» Find the value $x$ in the follwoing statement: $x^{2} - 9 = 72$

5067.

Find the value x in the follwoing statement:x2−9=72

Answer»

Find the value $x$ in the follwoing statement:

$x^{2} - 9 = 72$

Discussion

5068.	Mira eats 1 packet of biscuits in a week. If she wants to buy biscuit packets for an year, how many packets should she buy?
Answer» Mira eats 1 packet of biscuits in a week. If she wants to buy biscuit packets for an year, how many packets should she buy?

Discussion

5069.	Question 96Ashima sold two coolers for Rs. 3990 each. On selling one cooler she gained 5% and on selling the other she suffered a loss of 5%. Find her overall gain or loss % in whole transaction.
Answer» Question 96 Ashima sold two coolers for Rs. 3990 each. On selling one cooler she gained 5% and on selling the other she suffered a loss of 5%. Find her overall gain or loss % in whole transaction.

5069.

Question 96Ashima sold two coolers for Rs. 3990 each. On selling one cooler she gained 5% and on selling the other she suffered a loss of 5%. Find her overall gain or loss % in whole transaction.

Answer»

Question 96

Ashima sold two coolers for Rs. 3990 each. On selling one cooler she gained 5% and on selling the other she suffered a loss of 5%. Find her overall gain or loss % in whole transaction.

Discussion

5070.	The difference between two numbers is 5 and their products is 14.Find the difference between their cubes.
Answer» The difference between two numbers is 5 and their products is 14.Find the difference between their cubes.

Discussion

5071.	On January 01, 2014, a Limited Company purchased machinery for Rs 20,00,000. Depreciation is provided 15% p.a. on diminishing balance method. On March 01, 2016, one fourth of machinery was damaged by fire and Rs 40,000 were received from the insurance company in full settlement. On September 01, 2016 another machinery was purchased by the company for Rs 15,00,000.Write up the machinery account from 2016 to 2017. Books are closed on December 31, every year.
Answer» On January 01, 2014, a Limited Company purchased machinery for Rs 20,00,000. Depreciation is provided 15% p.a. on diminishing balance method. On March 01, 2016, one fourth of machinery was damaged by fire and Rs 40,000 were received from the insurance company in full settlement. On September 01, 2016 another machinery was purchased by the company for Rs 15,00,000. Write up the machinery account from 2016 to 2017. Books are closed on December 31, every year.

Discussion

5072.	What is the square root of 49?
Answer» What is the square root of 49?

Discussion

5073.	By method of mathematical induction, the value of 13+33+53⋯n terms=n2(xn2−1) is true for n∈N.Then x is:
Answer» By method of mathematical induction, the value of $1^{3} + 3^{3} + 5^{3} \dots n terms = n^{2} (x n^{2} - 1)$ is true for $n \in N .$ Then $x$ is:

Discussion

5074.	Divide: 3x3−2x2+6x2−1
Answer» Divide: $\frac{3 x^{3} - 2 x^{2} + 6}{x^{2} - 1}$

Discussion

5075.	Construct a parallelogram ABCD whose two diagonals AC = 5.4 cm, BD = 4.8 cm and the acute angle between the diagonals is 60∘ [4 MARKS]
Answer» Construct a parallelogram ABCD whose two diagonals AC = 5.4 cm, BD = 4.8 cm and the acute angle between the diagonals is $60^{\circ}$ [4 MARKS]

Discussion

5076.	Question 101A lady bought an air-conditioner for Rs. 15200 and spent Rs. 300 and Rs. 500 on its transportation and repair, respectively. At what price should she sell it to make a gain of 15 %?
Answer» Question 101 A lady bought an air-conditioner for Rs. 15200 and spent Rs. 300 and Rs. 500 on its transportation and repair, respectively. At what price should she sell it to make a gain of 15 %?

5076.

Question 101A lady bought an air-conditioner for Rs. 15200 and spent Rs. 300 and Rs. 500 on its transportation and repair, respectively. At what price should she sell it to make a gain of 15 %?

Answer»

Question 101

A lady bought an air-conditioner for Rs. 15200 and spent Rs. 300 and Rs. 500 on its transportation and repair, respectively. At what price should she sell it to make a gain of 15 %?

Discussion

5077.	Divide 45 ÷ 5 by the method of repeated subtraction.
Answer» Divide 45 $\div$ 5 by the method of repeated subtraction.

Discussion

5078.	Is 1 the multiplicative inverse of itself?
Answer» Is 1 the multiplicative inverse of itself?

Discussion

5079.	What will be the number of edges if there are 6 faces and 12 vertices?
Answer» What will be the number of edges if there are $6$ faces and $12$ vertices?

Discussion

5080.	Question 6(viii)Using identities, evaluate:8.92
Answer» Question 6(viii) Using identities, evaluate: ${8.9}^{2}$

Discussion

5081.	Complétez en utilisant des adverbes de quantité. (Plusieurs reponses sont possibles).(beaucoup de, trop de, un peu de, assez de, moins de, plus de, tant de)
Answer» Complétez en utilisant des adverbes de quantité. (Plusieurs reponses sont possibles). (beaucoup de, trop de, un peu de, assez de, moins de, plus de, tant de)

Discussion

5082.	Simplify :(a) (23)−3×(23)−1 (b) [(−12)−3]−2
Answer» Simplify : $(a) {(\frac{2}{3})}^{- 3} \times {(\frac{2}{3})}^{- 1}$ $(b) {[{(\frac{- 1}{2})}^{- 3}]}^{- 2}$

Discussion

5083.	Question 2If 31z5 is a multiple of 9, where z is a digit, what is the value of z?You will find that there are two answers for the last problem. Why is this so?
Answer» Question 2 If 31z5 is a multiple of 9, where z is a digit, what is the value of z? You will find that there are two answers for the last problem. Why is this so?

Discussion

5084.	Rate Constant of a first order reaxn is 0.0693per min. If we start with 20molper liter, it is reduced to 2.5molper litre in how much time
Answer» Rate Constant of a first order reaxn is 0.0693per min. If we start with 20molper liter, it is reduced to 2.5molper litre in how much time

Discussion

5085.	[(5+12i)^(1/2) + (5-12i)^(1/2)]/[(5+12i)^(1/2)-(5-12i)^(1/2)]
Answer» [(5+12i)^(1/2) + (5-12i)^(1/2)]/[(5+12i)^(1/2)-(5-12i)^(1/2)]

Discussion

5086.	Is 9408 a perfect square ? Find the smallest number by which it should be divided to make it a perfect square.
Answer» Is 9408 a perfect square ? Find the smallest number by which it should be divided to make it a perfect square.

Discussion

5087.	Observe the dots arranged in triangles. How many dots will be there in the fifth triangle?
Answer» Observe the dots arranged in triangles. How many dots will be there in the fifth triangle?

5087.

Observe the dots arranged in triangles. How many dots will be there in the fifth triangle?

Answer»

Observe the dots arranged in triangles. How many dots will be there in the fifth triangle?

Discussion

5088.	Let F1 be the set of all parallelograms, F2 the set of rectangles, F3 the set of rhombuses, F4 the set of squares and F5 the set of trapeziums in a plane, then F1 is equal to
Answer» Let $F_{1}$ be the set of all parallelograms, $F_{2}$ the set of rectangles, $F_{3}$ the set of rhombuses, $F_{4}$ the set of squares and $F_{5}$ the set of trapeziums in a plane, then $F_{1}$ is equal to

Discussion

5089.	Express 3600 as a product of powers of its prime factors.
Answer» Express 3600 as a product of powers of its prime factors.

Discussion

5090.	if a functionf:R->R is defined by f(x)=(x^3)+4(x^2)+cx+d,if f(x) is one to one onto what is the possible value of c
Answer» if a functionf:R->R is defined by f(x)=(x^3)+4(x^2)+cx+d,if f(x) is one to one onto what is the possible value of c

Discussion

5091.	Question 5(ii)Factorise the following expressionsq2−10q+21
Answer» Question 5(ii) Factorise the following expressions $q^{2} - 10 q + 21$

Discussion

5092.	The population of a city decreased from 25,000 to 24,500. Find the percentage decrease.
Answer» The population of a city decreased from 25,000 to 24,500. Find the percentage decrease.

Discussion

5093.	If 8 oranges cost ₹10.40, how many oranges can be bought for ₹33.80 ?
Answer» If 8 oranges cost ₹10.40, how many oranges can be bought for ₹33.80 ?

Discussion

5094.	Factorise: 2x^2-\sqrt3x-3
Answer» Factorise: 2x^2-\sqrt3x-3

Discussion

5095.	LetA, B be the centres of two circles of equal radii; draw them so thateach one of them passes through the centre of the other. Let themintersect at C and D.Examinewhether andare at right angles.
Answer» Let A, B be the centres of two circles of equal radii; draw them so that each one of them passes through the centre of the other. Let them intersect at C and D. Examine whether and are at right angles.

5095.

LetA, B be the centres of two circles of equal radii; draw them so thateach one of them passes through the centre of the other. Let themintersect at C and D.Examinewhether andare at right angles.

Answer»

Let
A, B be the centres of two circles of equal radii; draw them so that
each one of them passes through the centre of the other. Let them
intersect at C and D.

Examine
whether
and

are at right angles.

Discussion

5096.	Question 72If 148101B095 is divisible by 33, find the value of B.
Answer» Question 72 If 148101B095 is divisible by 33, find the value of B.

Discussion

5097.	Which 3-D solid figure can be formed from the above shown image? [1 MARK]
Answer» Which 3-D solid figure can be formed from the above shown image? [1 MARK]

5097.

Which 3-D solid figure can be formed from the above shown image? [1 MARK]

Answer»

Which 3-D solid figure can be formed from the above shown image? [1 MARK]

Discussion

5098.	how does 3PGAL further divide
Answer» how does 3PGAL further divide

Discussion

5099.	48. At what rate of interest per annum will a sum of Rs 62500 earn a compound interest of Rs 5100 in 1 year ? (Note:- The interest is to be compounded half yearly )
Answer» 48. At what rate of interest per annum will a sum of Rs 62500 earn a compound interest of Rs 5100 in 1 year ? (Note:- The interest is to be compounded half yearly )

Discussion

5100.	Question 1If 21y5 is a multiple of 9, where y is a digit, what is the value of y?
Answer» Question 1 If 21y5 is a multiple of 9, where y is a digit, what is the value of y?

Discussion

Explore topic-wise InterviewSolutions in .

Question 45State whether the following statement is true (T) or false (F).If x11=15, then x=1115.

44 Find time taken by particle in going from x=A/2 to x=A

Write about prism

Draw a polygon and shade its interior. Also draw its diagonals, if any.

Find the radius and centre of the circle given by the equation x2 + y2 + 22x + 40y + = 0.

a+b+c=9,ab+bc+ca=40,a^2b^2c^2=

5x+1/5x+1 + 2x = -2x , find the value of x.

Dividing 4x2−10x+6 by 2, we get ______.

Question 78Fill in the blanks to make the statements true.The measure of ___ angle of a concave quadrilateral is more than 180∘.

The slope of a line is √3. Find the equation of a line perpendicular to this line having y-intercept as −√2.

Question 6 Curved surface area of a right circular cylinder is 4.4 m2. If the radius of the base of the cylinder is 0.7 m, find its height. [Assume π=227]

Question 39The loss per cent on selling 140 geometry boxes at the loss of SP of 10 geometry boxes is equal to ___.

Question 90 (xii) Factorise the following, using the identity, a2−2ab+b2=(a−b)2. 9y2−4xy+4x29

Work out the followingdivisions.(i) (10x −25) ÷ 5(ii) (10x −25) ÷ (2x − 5) (iii) 10y(6y+ 21) ÷ 5(2y + 7)(iv) 9x2y2(3z− 24) ÷ 27xy(z − 8)(v) 96abc(3a− 12)(5b − 30) ÷ 144(a − 4) (b− 6)

Plot the graphs of the following equations on the same co-ordinate system. [4 MARKS] (i) y = 2x - 3 (ii) x + y = 6

Find the value x in the follwoing statement:x2−9=72

Mira eats 1 packet of biscuits in a week. If she wants to buy biscuit packets for an year, how many packets should she buy?

Question 96Ashima sold two coolers for Rs. 3990 each. On selling one cooler she gained 5% and on selling the other she suffered a loss of 5%. Find her overall gain or loss % in whole transaction.

The difference between two numbers is 5 and their products is 14.Find the difference between their cubes.

What is the square root of 49?

By method of mathematical induction, the value of 13+33+53⋯n terms=n2(xn2−1) is true for n∈N.Then x is:

Divide: 3x3−2x2+6x2−1

Construct a parallelogram ABCD whose two diagonals AC = 5.4 cm, BD = 4.8 cm and the acute angle between the diagonals is 60∘ [4 MARKS]

Question 101A lady bought an air-conditioner for Rs. 15200 and spent Rs. 300 and Rs. 500 on its transportation and repair, respectively. At what price should she sell it to make a gain of 15 %?

Divide 45 ÷ 5 by the method of repeated subtraction.

Is 1 the multiplicative inverse of itself?

What will be the number of edges if there are 6 faces and 12 vertices?

Question 6(viii)Using identities, evaluate:8.92

Complétez en utilisant des adverbes de quantité. (Plusieurs reponses sont possibles).(beaucoup de, trop de, un peu de, assez de, moins de, plus de, tant de)

Simplify :(a) (23)−3×(23)−1 (b) [(−12)−3]−2

Question 2If 31z5 is a multiple of 9, where z is a digit, what is the value of z?You will find that there are two answers for the last problem. Why is this so?

Rate Constant of a first order reaxn is 0.0693per min. If we start with 20molper liter, it is reduced to 2.5molper litre in how much time

[(5+12i)^(1/2) + (5-12i)^(1/2)]/[(5+12i)^(1/2)-(5-12i)^(1/2)]

Is 9408 a perfect square ? Find the smallest number by which it should be divided to make it a perfect square.

Observe the dots arranged in triangles. How many dots will be there in the fifth triangle?

Let F1 be the set of all parallelograms, F2 the set of rectangles, F3 the set of rhombuses, F4 the set of squares and F5 the set of trapeziums in a plane, then F1 is equal to

Express 3600 as a product of powers of its prime factors.

if a functionf:R->R is defined by f(x)=(x^3)+4(x^2)+cx+d,if f(x) is one to one onto what is the possible value of c

Question 5(ii)Factorise the following expressionsq2−10q+21

The population of a city decreased from 25,000 to 24,500. Find the percentage decrease.

If 8 oranges cost ₹10.40, how many oranges can be bought for ₹33.80 ?

Factorise: 2x^2-\sqrt3x-3

LetA, B be the centres of two circles of equal radii; draw them so thateach one of them passes through the centre of the other. Let themintersect at C and D.Examinewhether andare at right angles.

Question 72If 148101B095 is divisible by 33, find the value of B.

Which 3-D solid figure can be formed from the above shown image? [1 MARK]

how does 3PGAL further divide

48. At what rate of interest per annum will a sum of Rs 62500 earn a compound interest of Rs 5100 in 1 year ? (Note:- The interest is to be compounded half yearly )

Question 1If 21y5 is a multiple of 9, where y is a digit, what is the value of y?