19743 + Interview Questions in Mathematics Page 204 InterviewSolution

10151.	On 1st October, 2015, Meenal Sharma bought a machine for ₹ 25,000 on which he spent ₹ 5,000 for carriage and freight; ₹ 1,000 for brokerage of the middle-man, ₹ 4,000 for installation. The machine is depreciated 10% p.a. on written down value basis. On 31st March, 2018 the machine was sold to Deepa for ₹ 30,500 and ₹ 500 was paid as commission to broker through whom the sales was effected. Find out the profit or loss on sale of machine if accounts are closed on 31st March, every year.
Answer» On 1st October, 2015, Meenal Sharma bought a machine for ₹ 25,000 on which he spent ₹ 5,000 for carriage and freight; ₹ 1,000 for brokerage of the middle-man, ₹ 4,000 for installation. The machine is depreciated 10% p.a. on written down value basis. On 31st March, 2018 the machine was sold to Deepa for ₹ 30,500 and ₹ 500 was paid as commission to broker through whom the sales was effected. Find out the profit or loss on sale of machine if accounts are closed on 31st March, every year.

Discussion

10152.	<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->Find the roots of the equation x2–4x−9=0 by the method of completing the square.
Answer» <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Find the roots of the equation $x^{2} - 4 x - 9 = 0$ by the method of completing the square.

Discussion

10153.	Question 1 (a) Find the area of each of the following parallelograms:
Answer» Question 1 (a) Find the area of each of the following parallelograms:

10153.

Question 1 (a) Find the area of each of the following parallelograms:

Answer»

Question 1 (a)

Find the area of each of the following parallelograms:

Discussion

10154.	why square root of 404.41 is 20.11 if it'square root is 20.10
Answer» why square root of 404.41 is 20.11 if it'square root is 20.10

Discussion

10155.	18. (x-5)(x-4)/(x-1)less-than equal to 0 Find x
Answer» 18. (x-5)(x-4)/(x-1)less-than equal to 0 Find x

Discussion

10156.	If we assign a variable x to the number of '8's that can be made using 42 matchsticks, then what would be the equation relating the number of matchsticks and the number of '8's that can be made using those many matchsticks?
Answer» If we assign a variable x to the number of '8's that can be made using 42 matchsticks, then what would be the equation relating the number of matchsticks and the number of '8's that can be made using those many matchsticks?

Discussion

10157.	Multiplyand express as a mixed fraction:(a) (b) (c) (d) (e) (f)
Answer» Multiply and express as a mixed fraction: (a) (b) (c) (d) (e) (f)

10157.

Multiplyand express as a mixed fraction:(a) (b) (c) (d) (e) (f)

Answer»

Multiply
and express as a mixed fraction:

(a)
(b)

(c)
(d)

(e)
(f)

Discussion

10158.	Question 85 Can two acute angles form a pair of supplementary angles? Give reason in support of your answer.
Answer» Question 85 Can two acute angles form a pair of supplementary angles? Give reason in support of your answer.

10158.

Question 85 Can two acute angles form a pair of supplementary angles? Give reason in support of your answer.

Answer»

Question 85

Can two acute angles form a pair of supplementary angles? Give reason in support of your answer.

Discussion

10159.	The value of 7572 is _____ .
Answer» The value of $\frac{7^{5}}{7^{2}}$ is _____ .

Discussion

10160.	tricks to find dipole momen
Answer» tricks to find dipole momen

Discussion

10161.	In the fig. below, if AB \|\| CD,∠APQ = 50∘ and ∠PRD = 127∘, find x and y.
Answer» In the fig. below, if AB \|\| CD, $∠$ APQ = 50 $^{\circ}$ and $∠$ PRD = 127 $^{\circ}$ , find x and y.

Discussion

10162.	If x and y are distinct integers, which of the following is true about x+y2?
Answer» If x and y are distinct integers, which of the following is true about $\frac{x + y}{2}$ ?

Discussion

10163.	find the domain and range of (x-2)(x-3)/(x-3)(x-4)
Answer» find the domain and range of (x-2)(x-3)/(x-3)(x-4)

Discussion

10164.	If in a triangle ABC, angles A and B are complementary, then the value of cot C is ________.
Answer» If in a triangle ABC, angles A and B are complementary, then the value of cot C is ________.

Discussion

10165.	26.If (3a-8)x2 +ax + 10 and x belongs to real numbers then a belongs to
Answer» 26.If (3a-8)x2 +ax + 10 and x belongs to real numbers then a belongs to

Discussion

10166.	Question 2In the given figure, ∠X=62∘∠XYZ=54∘. If YO and ZO are the bisector of ∠XYZ and ∠XZY respectively of ΔXYZ, find ∠OZY and ∠YOZ.
Answer» Question 2 In the given figure, $∠ X = 62^{\circ} ∠ X Y Z = 54^{\circ}$ . If YO and ZO are the bisector of $∠ X Y Z$ and $∠ X Z Y$ respectively of $Δ X Y Z,$ find $∠ O Z Y$ and $∠ Y O Z .$

Discussion

10167.	What is the value of x when 512:x::812:14?
Answer» What is the value of $x$ when $5 \frac{1}{2} : x :: 8 \frac{1}{2} : \frac{1}{4}$ ?

Discussion

10168.	The perpendicular from a vertex of an isosceles triangle bisects the base and and the vertex angle. (True/False)
Answer» The perpendicular from a vertex of an isosceles triangle bisects the base and and the vertex angle. (True/False)

Discussion

10169.	5.37 +2.41 =AThe value of A is .
Answer» $5.37 + 2.41 = A$ The value of $A$ is .

Discussion

10170.	Subtract: (i) − 5y2 from y2 (ii) 6xy from − 12xy (iii) (a − b) from (a + b) (iv) a (b − 5) from b (5 − a) (v) − m2 + 5mn from 4m2 − 3mn + 8 (vi) − x2 + 10x − 5 from 5x − 10 (vii) 5a2 − 7ab + 5b2 from 3ab − 2a2 −2b2 (viii) 4pq − 5q2 − 3p2 from 5p2 + 3q2 − pq
Answer» Subtract: (i) − 5y²from y² (ii) 6xy from − 12xy (iii) (a − b) from (a + b) (iv) a (b − 5) from b (5 − a) (v) − m² + 5mn from 4m² − 3mn + 8 (vi) − x² + 10x − 5 from 5x − 10 (vii) 5a² − 7ab + 5b² from 3ab − 2a² −2b² (viii) 4pq − 5q² − 3p² from 5p² + 3q²− pq

10170.

Subtract: (i) − 5y2 from y2 (ii) 6xy from − 12xy (iii) (a − b) from (a + b) (iv) a (b − 5) from b (5 − a) (v) − m2 + 5mn from 4m2 − 3mn + 8 (vi) − x2 + 10x − 5 from 5x − 10 (vii) 5a2 − 7ab + 5b2 from 3ab − 2a2 −2b2 (viii) 4pq − 5q2 − 3p2 from 5p2 + 3q2 − pq

Answer»

Subtract:

(i) − 5y²from y²

(ii) 6xy from − 12xy

(iii) (a − b) from (a + b)

(iv) a (b − 5) from b (5 − a)

(v) − m² + 5mn from 4m²
− 3mn + 8

(vi) − x² + 10x − 5 from 5x
− 10

(vii) 5a² − 7ab + 5b²
from 3ab − 2a² −2b²

(viii) 4pq − 5q² − 3p²
from 5p² + 3q²− pq

Discussion

10171.	Find the value of 26
Answer» Find the value of $2^{6}$

Discussion

10172.	is the smallest 5 digit number that is evenly divisible by 8.
Answer» is the smallest 5 digit number that is evenly divisible by 8.

Discussion

10173.	What is the number of matchsticks needed to make n numbers of T patterns?
Answer» What is the number of matchsticks needed to make $n$ numbers of $T$ patterns?

Discussion

10174.	State True of FalseSubtracting 24 from 42 gives the result as 32
Answer» State True of False Subtracting $\frac{2}{4}$ from $\frac{4}{2}$ gives the result as $\frac{3}{2}$

Discussion

10175.	Ram can type 50 words per minute. If the ratio of words typed by Rahul and Ram is 1 : 2, then Rahul can type ___ words per minute.
Answer» Ram can type 50 words per minute. If the ratio of words typed by Rahul and Ram is 1 : 2, then Rahul can type ___ words per minute.

Discussion

10176.	20 2 men and 3 women can do a piece of work in 16 days. in how many days can 4 men and 6 women do the same work?
Answer» 20 2 men and 3 women can do a piece of work in 16 days. in how many days can 4 men and 6 women do the same work?

Discussion

10177.	'A number which is '2' less than the sum of two consecutive natural numbers' is algebraically written as ______.
Answer» 'A number which is '2' less than the sum of two consecutive natural numbers' is algebraically written as ______.

Discussion

10178.	Find the cost of carpeting a room 13m x 9m with a carpet of width 75cm at the rate of Rs.105 per metre.
Answer» Find the cost of carpeting a room 13m x 9m with a carpet of width 75cm at the rate of Rs.105 per metre.

Discussion

10179.	If A is the set of even natural numbers less than 8 and B is the set of prime numbers less than 7, then thr number of relations from A to B is .Options :a)2^9 b) 9^2 c)3^2 d) 2^9-1
Answer» If A is the set of even natural numbers less than 8 and B is the set of prime numbers less than 7, then thr number of relations from A to B is . Options : a)2^9 b) 9^2 c)3^2 d) 2^9-1

Discussion

10180.	List five rational numbers between:(i) −1 and 0 (ii) −2 and −1(iii) −45 and −23 (iv) 12 and 23
Answer» List five rational numbers between: (i) $- 1$ and $0$ (ii) $- 2$ and $- 1$ (iii) $\frac{- 4}{5}$ and $\frac{- 2}{3}$ (iv) $\frac{1}{2}$ and $\frac{2}{3}$

10180.

List five rational numbers between:(i) −1 and 0 (ii) −2 and −1(iii) −45 and −23 (iv) 12 and 23

Answer»

List five rational numbers between:

(i) $- 1$ and $0$ (ii) $- 2$ and $- 1$

(iii) $\frac{- 4}{5}$ and $\frac{- 2}{3}$ (iv) $\frac{1}{2}$ and $\frac{2}{3}$

Discussion

10181.	Question 15Find the missing number in the box in each of the proportions:1636=□63=36□=□117
Answer» Question 15 Find the missing number in the box in each of the proportions: $\frac{16}{36} = \frac{□}{63} = \frac{36}{□} = \frac{□}{117}$

10181.

Question 15Find the missing number in the box in each of the proportions:1636=□63=36□=□117

Answer»

Question 15

Find the missing number in the box in each of the proportions:

$\frac{16}{36} = \frac{□}{63} = \frac{36}{□} = \frac{□}{117}$

Discussion

10182.	Question 3 Examine whether you can construct Δ DEF such that EF = 7.2 cm, ∠ E = 110∘ and ∠ F = 80∘. Justify your answer:
Answer» Question 3 Examine whether you can construct $Δ$ DEF such that EF = 7.2 cm, $∠$ E = $110^{\circ}$ and $∠$ F = $80^{\circ}$ . Justify your answer:

Discussion

10183.	Ratio 5 : 7 can also be written as:
Answer» Ratio 5 : 7 can also be written as:

Discussion

10184.	Question 67 (vii)Look at the shape given below and state if it is a polyhedron using Euler's formula.
Answer» Question 67 (vii) Look at the shape given below and state if it is a polyhedron using Euler's formula.

Discussion

10185.	In the given figure, a square is cut as shown in the first figure and rearranged to form a big square as shown in the second figure. Then, the side of the small square(hole) and area of the big square in the second figure respectively is _____.
Answer» In the given figure, a square is cut as shown in the first figure and rearranged to form a big square as shown in the second figure. Then, the side of the small square(hole) and area of the big square in the second figure respectively is _____.

10185.

In the given figure, a square is cut as shown in the first figure and rearranged to form a big square as shown in the second figure. Then, the side of the small square(hole) and area of the big square in the second figure respectively is _____.

Answer»

In the given figure, a square is cut as shown in the first figure and rearranged to form a big square as shown in the second figure. Then, the side of the small square(hole) and area of the big square in the second figure respectively is _____.

Discussion

10186.	Out of 500 car owners investigated, 400 owned car A and 200 owned car B, 50 owned both A and B cars. Is this data correct?
Answer» Out of $500$ car owners investigated, $400$ owned car $A$ and $200$ owned car $B, 50$ owned both $A$ and $B$ cars. Is this data correct?

Discussion

10187.	Question 1 (ii) Simplify combining like terms: −z2+13z2−5z+7z3−15z
Answer» Question 1 (ii) Simplify combining like terms: $- z^{2} + 13 z^{2} - 5 z + 7 z^{3} - 15 z$

10187.

Question 1 (ii) Simplify combining like terms: −z2+13z2−5z+7z3−15z

Answer»

Question 1 (ii)

Simplify combining like terms:

$- z^{2} + 13 z^{2} - 5 z + 7 z^{3} - 15 z$

Discussion

10188.	What value of x makes "5 raised to the power x" equal to 25 ?
Answer» What value of x makes "5 raised to the power x" equal to 25 ?

Discussion

10189.	Question 98The following data represents the different number of animals in a zoo. Prepare a pie chart for the given data.AnimalsNumber of animalsDeer42Elephant15Giraffe26Reptiles24Tiger13
Answer» Question 98 The following data represents the different number of animals in a zoo. Prepare a pie chart for the given data. $\begin{matrix} A n i m a l s & N u m b e r o f a n i m a l s D e e r & 42 E l e p h a n t & 15 G i r a f f e & 26 R e p t i l e s & 24 T i g e r & 13 \end{matrix}$

10189.

Question 98The following data represents the different number of animals in a zoo. Prepare a pie chart for the given data.AnimalsNumber of animalsDeer42Elephant15Giraffe26Reptiles24Tiger13

Answer»

Question 98

The following data represents the different number of animals in a zoo. Prepare a pie chart for the given data.

$\begin{matrix} A n i m a l s & N u m b e r o f a n i m a l s D e e r & 42 E l e p h a n t & 15 G i r a f f e & 26 R e p t i l e s & 24 T i g e r & 13 \end{matrix}$

Discussion

10190.	Question 74(i) Study the bar graph given below and answer the questions that follow: What information does the above bar graph represent?
Answer» Question 74(i) Study the bar graph given below and answer the questions that follow: What information does the above bar graph represent?

Discussion

10191.	If the angles (2a−10)∘ and (a−11)∘ are complementary, then find the value of a.37
Answer» If the angles $(2 a - 10)^{\circ}$ and $(a - 11)^{\circ}$ are complementary, then find the value of a. 37

Discussion

10192.	7. Prove that if areas of two similar triangles are equal, then the triangles are congruent.
Answer» 7. Prove that if areas of two similar triangles are equal, then the triangles are congruent.

Discussion

10193.	The fraction 31000 in decimal form is(a) 0.3(b) 0.03(c) 0.003(d) 1.003
Answer» The fraction $\frac{3}{1000}$ in decimal form is (a) 0.3 (b) 0.03 (c) 0.003 (d) 1.003

Discussion

10194.	What is the rate per cent per annum if Rs 1600 amounts to Rs 1900 in 2.5 years?
Answer» What is the rate per cent per annum if Rs 1600 amounts to Rs 1900 in 2.5 years?

Discussion

10195.	ColoursNo. of peopleBlue18Green9Red6Yellow3Total36 Draw a pie chart showing the given information. The table shows the colours preferred by a group of people. Calculate the respective proportion of each colour. [3 MARKS]
Answer» $\begin{matrix} Colours & No. of people Blue & 18 Green & 9 Red & 6 Yellow & 3 Total & 36 \end{matrix}$ Draw a pie chart showing the given information. The table shows the colours preferred by a group of people. Calculate the respective proportion of each colour. [3 MARKS]

Discussion

10196.	19. What is mole fraction
Answer» 19. What is mole fraction

Discussion

10197.	Question 17Fill in the blanks to make each statement true:The solution of the equation 3x - 4 = 1 - 2x is ...................
Answer» Question 17 Fill in the blanks to make each statement true: The solution of the equation 3x - 4 = 1 - 2x is ...................

10197.

Question 17Fill in the blanks to make each statement true:The solution of the equation 3x - 4 = 1 - 2x is ...................

Answer»

Question 17

Fill in the blanks to make each statement true:

The solution of the equation 3x - 4 = 1 - 2x is ...................

Discussion

10198.

From the following information supplied by Rohit, who keeps his books on Single Entry System, you are required to calculate Total Purchases: ₹ Opening balance of Bills Payable 5,000 Opening balance of Creditors 6,000 Closing balance of Bills Payable 7,000 Closing balance of Creditors 4,000 Cash paid to Creditors during the year 30,200 Bills Payable discharged during the year 8,900 Returns Outward 1,200 Cash Purchases 25,800

Answer» From the following information supplied by Rohit, who keeps his books on Single Entry System, you are required to calculate Total Purchases:

	₹
Opening balance of Bills Payable	5,000
Opening balance of Creditors	6,000
Closing balance of Bills Payable	7,000
Closing balance of Creditors	4,000
Cash paid to Creditors during the year	30,200
Bills Payable discharged during the year	8,900
Returns Outward	1,200
Cash Purchases	25,800

Discussion

10199.	Find the speed.The distance travelled is 95km at hours.
Answer» Find the speed. The distance travelled is 95km at hours.

10199.

Find the speed.The distance travelled is 95km at hours.

Answer»

Find the speed.

The distance travelled is 95km at hours.

Discussion

10200.	If 27 of 14 Mangoes are spoilt, how many are left?
Answer» If $\frac{2}{7}$ of 14 Mangoes are spoilt, how many are left?

Discussion

Explore topic-wise InterviewSolutions in .

&lt;!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--&gt;Find the roots of the equation x2–4x−9=0 by the method of completing the square.

Question 1 (a) Find the area of each of the following parallelograms:

why square root of 404.41 is 20.11 if it'square root is 20.10

18. (x-5)(x-4)/(x-1)less-than equal to 0 Find x

If we assign a variable x to the number of '8's that can be made using 42 matchsticks, then what would be the equation relating the number of matchsticks and the number of '8's that can be made using those many matchsticks?

Multiplyand express as a mixed fraction:(a) (b) (c) (d) (e) (f)

Question 85 Can two acute angles form a pair of supplementary angles? Give reason in support of your answer.

The value of 7572 is _____ .

tricks to find dipole momen

In the fig. below, if AB || CD,∠APQ = 50∘ and ∠PRD = 127∘, find x and y.

If x and y are distinct integers, which of the following is true about x+y2?

find the domain and range of (x-2)(x-3)/(x-3)(x-4)

If in a triangle ABC, angles A and B are complementary, then the value of cot C is ________.

26.If (3a-8)x2 +ax + 10 and x belongs to real numbers then a belongs to

Question 2In the given figure, ∠X=62∘∠XYZ=54∘. If YO and ZO are the bisector of ∠XYZ and ∠XZY respectively of ΔXYZ, find ∠OZY and ∠YOZ.

What is the value of x when 512:x::812:14?

The perpendicular from a vertex of an isosceles triangle bisects the base and and the vertex angle. (True/False)

5.37 +2.41 =AThe value of A is .

Subtract: (i) − 5y2 from y2 (ii) 6xy from − 12xy (iii) (a − b) from (a + b) (iv) a (b − 5) from b (5 − a) (v) − m2 + 5mn from 4m2 − 3mn + 8 (vi) − x2 + 10x − 5 from 5x − 10 (vii) 5a2 − 7ab + 5b2 from 3ab − 2a2 −2b2 (viii) 4pq − 5q2 − 3p2 from 5p2 + 3q2 − pq

Find the value of 26

is the smallest 5 digit number that is evenly divisible by 8.

What is the number of matchsticks needed to make n numbers of T patterns?

State True of FalseSubtracting 24 from 42 gives the result as 32

Ram can type 50 words per minute. If the ratio of words typed by Rahul and Ram is 1 : 2, then Rahul can type ___ words per minute.

20 2 men and 3 women can do a piece of work in 16 days. in how many days can 4 men and 6 women do the same work?

'A number which is '2' less than the sum of two consecutive natural numbers' is algebraically written as ______.

Find the cost of carpeting a room 13m x 9m with a carpet of width 75cm at the rate of Rs.105 per metre.

If A is the set of even natural numbers less than 8 and B is the set of prime numbers less than 7, then thr number of relations from A to B is .Options :a)2^9 b) 9^2 c)3^2 d) 2^9-1

List five rational numbers between:(i) −1 and 0 (ii) −2 and −1(iii) −45 and −23 (iv) 12 and 23

Question 15Find the missing number in the box in each of the proportions:1636=□63=36□=□117

Question 3 Examine whether you can construct Δ DEF such that EF = 7.2 cm, ∠ E = 110∘ and ∠ F = 80∘. Justify your answer:

Ratio 5 : 7 can also be written as:

Question 67 (vii)Look at the shape given below and state if it is a polyhedron using Euler's formula.​​​​​​​

In the given figure, a square is cut as shown in the first figure and rearranged to form a big square as shown in the second figure. Then, the side of the small square(hole) and area of the big square in the second figure respectively is _____.

Out of 500 car owners investigated, 400 owned car A and 200 owned car B, 50 owned both A and B cars. Is this data correct?

Question 1 (ii) Simplify combining like terms: −z2+13z2−5z+7z3−15z

What value of x makes "5 raised to the power x" equal to 25 ?

Question 98The following data represents the different number of animals in a zoo. Prepare a pie chart for the given data.AnimalsNumber of animalsDeer42Elephant15Giraffe26Reptiles24Tiger13

Question 74(i) Study the bar graph given below and answer the questions that follow: What information does the above bar graph represent?

If the angles (2a−10)∘ and (a−11)∘ are complementary, then find the value of a.37

7. Prove that if areas of two similar triangles are equal, then the triangles are congruent.

The fraction 31000 in decimal form is(a) 0.3(b) 0.03(c) 0.003(d) 1.003

What is the rate per cent per annum if Rs 1600 amounts to Rs 1900 in 2.5 years?

ColoursNo. of peopleBlue18Green9Red6Yellow3Total36 Draw a pie chart showing the given information. The table shows the colours preferred by a group of people. Calculate the respective proportion of each colour. [3 MARKS]

19. What is mole fraction

Question 17Fill in the blanks to make each statement true:The solution of the equation 3x - 4 = 1 - 2x is ...................

Find the speed.The distance travelled is 95km at hours.

If 27 of 14 Mangoes are spoilt, how many are left?

Find the roots of the equation x2–4x−9=0 by the method of completing the square.

Question 67 (vii)Look at the shape given below and state if it is a polyhedron using Euler's formula.