25365 + Interview Questions in Mathematics Page 133 InterviewSolution

6601.	A company purchased a machinery for ₹ 50,000 on 1st October, 2015. Another machinery costing ₹10,000 was purchased on 1st December, 2016. On 31st March, 2018, the machinery purchased in 2015 was sold at a loss of ₹ 5,000. The company charges depreciation 15% p.a. on Diminishing Balance Method. Accounts are closed on 31st March every year. Prepare the Machinery Account for 3 years.
Answer» A company purchased a machinery for ₹ 50,000 on 1st October, 2015. Another machinery costing ₹10,000 was purchased on 1st December, 2016. On 31st March, 2018, the machinery purchased in 2015 was sold at a loss of ₹ 5,000. The company charges depreciation 15% p.a. on Diminishing Balance Method. Accounts are closed on 31st March every year. Prepare the Machinery Account for 3 years.

Discussion

6602.	Simplify: (16(−2)−13(−3)) ÷ 15(−2)
Answer» $Simplify: (\frac{1}{6^{(- 2)}} - \frac{1}{3^{(- 3)}}) \div \frac{1}{5^{(- 2)}}$

Discussion

6603.	One angle of the parallelogram is 80∘. Write in degrees the other angle, not equal to 80∘ in the parallelogram?
Answer» One angle of the parallelogram is $80^{\circ}$ . Write in degrees the other angle, not equal to $80^{\circ}$ in the parallelogram?

Discussion

6604.	A dice is thrown once. Find the probability of getting a number less than 3.
Answer» A dice is thrown once. Find the probability of getting a number less than 3.

Discussion

6605.	Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to(a) 60(b) 120(c) 7200(d) 720
Answer» Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to (a) 60 (b) 120 (c) 7200 (d) 720

Discussion

6606.	What are terminating decimal and non-terminating decimal form. Explain
Answer» What are terminating decimal and non-terminating decimal form. Explain

Discussion

6607.	Factorise x-4abx-(a-b)
Answer» Factorise x-4abx-(a-b)

Discussion

6608.	Question 111(iii) At a birthday party, the children spin a wheel to get a gift. Find the probability of Getting any toy except a chocolate. ?
Answer» Question 111(iii) At a birthday party, the children spin a wheel to get a gift. Find the probability of Getting any toy except a chocolate. ?

6608.

Question 111(iii) At a birthday party, the children spin a wheel to get a gift. Find the probability of Getting any toy except a chocolate. ?

Answer»

Question 111(iii)

At a birthday party, the children spin a wheel to get a gift.

Find the probability of
Getting any toy except a chocolate. ?

Discussion

6609.	Find the ratio in which the line 2x + 3y = 5 divides internally the line segment joining the points A(5, 3) and B(6,~2) and if not, then state why?
Answer» Find the ratio in which the line 2x + 3y = 5 divides internally the line segment joining the points A(5, 3) and B(6,~2) and if not, then state why?

Discussion

6610.	Find the matrix X in the equation AX=B, such that A=\begin{bmatrix}1&3 0&1\end{bmatrix} and B=\begin{bmatrix}1&-1 0&1\end{bmatrix}
Answer» Find the matrix X in the equation AX=B, such that A=\begin{bmatrix}1&3 0&1\end{bmatrix} and B=\begin{bmatrix}1&-1 0&1\end{bmatrix}

Discussion

6611.	For accurate prediction of events and presenting statistics, select the most important information required and the most suitable option.
Answer» For accurate prediction of events and presenting statistics, select the most important information required and the most suitable option.

Discussion

6612.	If x = 12 ^ (12 ^ (12 ^ (12 ^ 12))) + 255 ^ (255 ^ 255) + 36 ^ (36 ^ (36 ^ 36)) then the unit digit of x is equal to
Answer» If x = 12 ^ (12 ^ (12 ^ (12 ^ 12))) + 255 ^ (255 ^ 255) + 36 ^ (36 ^ (36 ^ 36)) then the unit digit of x is equal to

Discussion

6613.	Find respectively the surface area(in mm2) and volume(in mm3) of the capsule shown in the figure given below:
Answer» Find respectively the surface area(in $m m^{2}$ ) and volume(in $m m^{3}$ ) of the capsule shown in the figure given below:

Discussion

6614.	In the given figure, ABCD is a rhombus. If OB = 3 units, OC = 4 units and AE = 6.4 units. Find the length of CE. (CE is perpendicular to AB)
Answer» In the given figure, ABCD is a rhombus. If OB = 3 units, OC = 4 units and AE = 6.4 units. Find the length of CE. (CE is perpendicular to AB)

6614.

In the given figure, ABCD is a rhombus. If OB = 3 units, OC = 4 units and AE = 6.4 units. Find the length of CE. (CE is perpendicular to AB)

Answer»

In the given figure, ABCD is a rhombus. If OB = 3 units, OC = 4 units and AE = 6.4 units. Find the length of CE. (CE is perpendicular to AB)

Discussion

6615.	Question 88 (xiii)Factorise the following expression.(a3x−x4+a2x2−ax3)
Answer» Question 88 (xiii) Factorise the following expression. $(a^{3} x - x^{4} + a^{2} x^{2} - a x^{3})$

Discussion

6616.	Evaluate each of the following:(i) (103)3(ii) (98)3(iii) (9.9)3(iv) (10.4)3(v) (598)3(vi) (99)3
Answer» Evaluate each of the following: (i) (103)³ (ii) (98)³ (iii) (9.9)³ (iv) (10.4)3 (v) (598)³ (vi) (99)³

Discussion

6617.	Question 56(ii)Plot a line graph for the variables p and q, where p is two times q i.e. the equation is p=2q. Then, find the value of q when p=8.
Answer» Question 56(ii) Plot a line graph for the variables p and q, where p is two times q i.e. the equation is p=2q. Then, find the value of q when p=8.

Discussion

6618.	For what input value, the output of the function g(x)=72x−492 is −17.5.
Answer» For what input value, the output of the function $g (x) = \frac{7}{2} x - \frac{49}{2}$ is $- 17.5.$

Discussion

6619.	Prove that (1−i)4=−4.
Answer» Prove that $(1 - i)^{4} = - 4$ .

Discussion

6620.	In the given figure, ∠A = ∠CED, prove that ∆CAB ∼ ∆CED. Also, find the value of x.
Answer» In the given figure, ∠A = ∠CED, prove that ∆CAB ∼ ∆CED. Also, find the value of x.

Discussion

6621.	Total Surface Area of cylinder
Answer» Total Surface Area of cylinder

Discussion

6622.	Construct a triangle XYZ in which YZ = 4.5 cm, ∠Y = 60° and sum of other two sides is 7.5 cm. (Optional)
Answer» Construct a triangle XYZ in which YZ = 4.5 cm, ∠Y = 60° and sum of other two sides is 7.5 cm. (Optional)

Discussion

6623.	Question 86 (xiv)Using suitable identities, evaluate the following:9.8×10.2
Answer» Question 86 (xiv) Using suitable identities, evaluate the following: $9.8 \times 10.2$

6623.

Question 86 (xiv)Using suitable identities, evaluate the following:9.8×10.2

Answer»

Question 86 (xiv)

Using suitable identities, evaluate the following:

$9.8 \times 10.2$

Discussion

6624.	In the given calander, the difference between the product of the diagonal numbers taken for any four numbers forming a square is equal to 681091215121620
Answer» In the given calander, the difference between the product of the diagonal numbers taken for any four numbers forming a square is equal to $\begin{matrix} 6 & 8 & 10 9 & 12 & 15 12 & 16 & 20 \end{matrix}$

6624.

In the given calander, the difference between the product of the diagonal numbers taken for any four numbers forming a square is equal to 681091215121620

Answer»

In the given calander, the difference between the product of the diagonal numbers taken for any four numbers forming a square is equal to

$\begin{matrix} 6 & 8 & 10 9 & 12 & 15 12 & 16 & 20 \end{matrix}$

Discussion

6625.	If we know that one side of a rectangle is 8 cm, can we construct a unique rectangle?
Answer» If we know that one side of a rectangle is 8 cm, can we construct a unique rectangle?

Discussion

6626.	If the volume of a cube is 343 cm3, then its surface area is ___
Answer» If the volume of a cube is 343 cm $^{3}$ , then its surface area is ___

Discussion

6627.	If the perimeter of a square field is 400 m, what is the length of each side of the field?
Answer» If the perimeter of a square field is 400 m, what is the length of each side of the field?

Discussion

6628.	60.How many angle of 90 ,120,180 are present in trigonal bipyramidal , octahedral, pentagonal bipyramidal?
Answer» 60.How many angle of 90 ,120,180 are present in trigonal bipyramidal , octahedral, pentagonal bipyramidal?

Discussion

6629.	Abha purchased a house from Avas Parishad on credit. If the cost of the house is Rs. 64000 and the rate of interest is 5% per annum compounded half-yearly, find the interest paid by Abha after one year and a half.
Answer» Abha purchased a house from Avas Parishad on credit. If the cost of the house is Rs. 64000 and the rate of interest is $5 %$ per annum compounded half-yearly, find the interest paid by Abha after one year and a half.

Discussion

6630.	(i) Find the value of (666)2(ii) Find the value of (66666)2
Answer» (i) Find the value of $(666)^{2}$ (ii) Find the value of $(66666)^{2}$

Discussion

6631.	Question 91 (ii)Factorise the following:x2+9x+20
Answer» Question 91 (ii) Factorise the following: $x^{2} + 9 x + 20$

Discussion

6632.	86.Value of 13 combination 7 + 13 combination 8 + 13 combination 9 + 13 combination 10 + 13 combination 11
Answer» 86.Value of 13 combination 7 + 13 combination 8 + 13 combination 9 + 13 combination 10 + 13 combination 11

Discussion

6633.	42. Prove Volume occupied by 1 gram water = Volume occupied by 6.023× 10^{23}/18 molecules of water
Answer» 42. Prove Volume occupied by 1 gram water = Volume occupied by 6.023× 10^{23}/18 molecules of water

Discussion

6634.	Simplify the expression (an)2n.
Answer» Simplify the expression $(a^{n})^{\frac{2}{n}}$ .

Discussion

6635.	Mark the correct alternative in the following question:If a : b = 5 : 7 and b : c = 6 : 11, then a : b : c =(a) 35 : 49 : 66 (b) 30 : 42 : 77 (c) 30 : 42 :55 (d) None of these
Answer» Mark the correct alternative in the following question: If a : b = 5 : 7 and b : c = 6 : 11, then a : b : c = (a) 35 : 49 : 66 (b) 30 : 42 : 77 (c) 30 : 42 :55 (d) None of these

Discussion

6636.	Evaluate }∫_0^2\lbrack x^2-x+1\rbrack dx
Answer» Evaluate }∫_0^2\lbrack x^2-x+1\rbrack dx

Discussion

6637.	The following numbers are obviously not perfect squares. Give reason. (i) 1057 (ii) 23453 (iii) 7928 (iv) 222222 (v) 64000 (vi) 89722 (vii) 222000 (viii) 505050
Answer» The following numbers are obviously not perfect squares. Give reason. (i) 1057 (ii) 23453 (iii) 7928 (iv) 222222 (v) 64000 (vi) 89722 (vii) 222000 (viii) 505050

6637.

The following numbers are obviously not perfect squares. Give reason. (i) 1057 (ii) 23453 (iii) 7928 (iv) 222222 (v) 64000 (vi) 89722 (vii) 222000 (viii) 505050

Answer»

The following numbers
are obviously not perfect squares. Give reason.

(i) 1057 (ii) 23453

(iii) 7928 (iv) 222222

(v) 64000 (vi) 89722

(vii) 222000 (viii) 505050

Discussion

6638.	A quadrilateral which has all sides equal but the angles do not measure 90o is known as ______.
Answer» A quadrilateral which has all sides equal but the angles do not measure 90^o is known as ______.

Discussion

6639.	Factorize:p3(q−r)3+q3(r−p)3+r3(p−q)3
Answer» Factorize: $p^{3} (q - r)^{3} + q^{3} (r - p)^{3} + r^{3} (p - q)^{3}$

Discussion

6640.	The angle between the two tangents from the origin to the circle (x−7)2+(y+1)2=25is
Answer» The angle between the two tangents from the origin to the circle $(x - 7)^{2} + (y + 1)^{2} = 25$ is

Discussion

6641.	What is 2fold 3 fold and 4 fold in cube
Answer» What is 2fold 3 fold and 4 fold in cube

Discussion

6642.	Question 1(i)Multiply the binomials:(2x+5) and ( 4x-3)
Answer» Question 1(i) Multiply the binomials: (2x+5) and ( 4x-3)

Discussion

6643.	Question 43(i)Plot the given points on a graph sheet and check if the points lie on a straight line. If not, name the shape they form when joined in the given order.(1,2), (2,4), (3,6), (4,8)
Answer» Question 43(i) Plot the given points on a graph sheet and check if the points lie on a straight line. If not, name the shape they form when joined in the given order. (1,2), (2,4), (3,6), (4,8)

Discussion

6644.	Simplify 3√27P27
Answer» Simplify $\sqrt[3]{27 P^{27}}$

Discussion

6645.	The wavelength (w) of matter waves man depends on Planck's constant (H) ,mass(m) and velocity (v) of particle . Use the method of dimension to derive the formula
Answer» The wavelength (w) of matter waves man depends on Planck's constant (H) ,mass(m) and velocity (v) of particle . Use the method of dimension to derive the formula

Discussion

6646.	In a school, 30% of students play chess, 60% play carrom and the rest play other games. If the total number of students in the school is 900, find the exact number of students who play each game.
Answer» In a school, $30 %$ of students play chess, $60 %$ play carrom and the rest play other games. If the total number of students in the school is $900$ , find the exact number of students who play each game.

Discussion

6647.	The ratio 3:4 into percentage is ________.
Answer» The ratio 3:4 into percentage is ________.

Discussion

6648.	The roster form of the set {x:x=2r+3, where r ϵ I and −2<r≤3}.
Answer» The roster form of the set ${x : x = 2 r + 3, where r ϵ I and - 2 < r \leq 3}$ .

Discussion

6649.	If CP = RS 200 and discount percent is 5%, find the SP.
Answer» If CP = RS 200 and discount percent is 5%, find the SP.

Discussion

6650.	A rectangle with length and breadth equal to 19m and 17m respectively has to be converted into a square having the same area. What will be the side of the square? (Give answer till two decimal places).
Answer» A rectangle with length and breadth equal to 19m and 17m respectively has to be converted into a square having the same area. What will be the side of the square? (Give answer till two decimal places).

Discussion

Explore topic-wise InterviewSolutions in .

Simplify: (16(−2)−13(−3)) ÷ 15(−2)

One angle of the parallelogram is 80∘. Write in degrees the other angle, not equal to 80∘ in the parallelogram?

A dice is thrown once. Find the probability of getting a number less than 3.

Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to(a) 60(b) 120(c) 7200(d) 720

What are terminating decimal and non-terminating decimal form. Explain

Factorise x-4abx-(a-b)

Question 111(iii) At a birthday party, the children spin a wheel to get a gift. Find the probability of Getting any toy except a chocolate. ?

Find the ratio in which the line 2x + 3y = 5 divides internally the line segment joining the points A(5, 3) and B(6,~2) and if not, then state why?

Find the matrix X in the equation AX=B, such that A=\begin{bmatrix}1&3 0&1\end{bmatrix} and B=\begin{bmatrix}1&-1 0&1\end{bmatrix}

For accurate prediction of events and presenting statistics, select the most important information required and the most suitable option.

If x = 12 ^ (12 ^ (12 ^ (12 ^ 12))) + 255 ^ (255 ^ 255) + 36 ^ (36 ^ (36 ^ 36)) then the unit digit of x is equal to

Find respectively the surface area(in mm2) and volume(in mm3) of the capsule shown in the figure given below:

In the given figure, ABCD is a rhombus. If OB = 3 units, OC = 4 units and AE = 6.4 units. Find the length of CE. (CE is perpendicular to AB)

Question 88 (xiii)Factorise the following expression.(a3x−x4+a2x2−ax3)

Evaluate each of the following:(i) (103)3(ii) (98)3(iii) (9.9)3(iv) (10.4)3(v) (598)3(vi) (99)3

Question 56(ii)Plot a line graph for the variables p and q, where p is two times q i.e. the equation is p=2q. Then, find the value of q when p=8.

For what input value, the output of the function g(x)=72x−492 is −17.5.

Prove that (1−i)4=−4.

In the given figure, ∠A = ∠CED, prove that ∆CAB ∼ ∆CED. Also, find the value of x.

Total Surface Area of cylinder

Construct a triangle XYZ in which YZ = 4.5 cm, ∠Y = 60° and sum of other two sides is 7.5 cm. (Optional)

Question 86 (xiv)Using suitable identities, evaluate the following:9.8×10.2

In the given calander, the difference between the product of the diagonal numbers taken for any four numbers forming a square is equal to 681091215121620

If we know that one side of a rectangle is 8 cm, can we construct a unique rectangle?

If the volume of a cube is 343 cm3, then its surface area is ___

If the perimeter of a square field is 400 m, what is the length of each side of the field?

60.How many angle of 90 ,120,180 are present in trigonal bipyramidal , octahedral, pentagonal bipyramidal?

Abha purchased a house from Avas Parishad on credit. If the cost of the house is Rs. 64000 and the rate of interest is 5% per annum compounded half-yearly, find the interest paid by Abha after one year and a half.

(i) Find the value of (666)2(ii) Find the value of (66666)2

Question 91 (ii)Factorise the following:x2+9x+20

86.Value of 13 combination 7 + 13 combination 8 + 13 combination 9 + 13 combination 10 + 13 combination 11

42. Prove Volume occupied by 1 gram water = Volume occupied by 6.023× 10^{23}/18 molecules of water

Simplify the expression (an)2n.

Mark the correct alternative in the following question:If a : b = 5 : 7 and b : c = 6 : 11, then a : b : c =(a) 35 : 49 : 66 (b) 30 : 42 : 77 (c) 30 : 42 :55 (d) None of these

Evaluate }∫_0^2\lbrack x^2-x+1\rbrack dx

The following numbers are obviously not perfect squares. Give reason. (i) 1057 (ii) 23453 (iii) 7928 (iv) 222222 (v) 64000 (vi) 89722 (vii) 222000 (viii) 505050

A quadrilateral which has all sides equal but the angles do not measure 90o is known as ______.

Factorize:p3(q−r)3+q3(r−p)3+r3(p−q)3

The angle between the two tangents from the origin to the circle (x−7)2+(y+1)2=25is

What is 2fold 3 fold and 4 fold in cube

Question 1(i)Multiply the binomials:(2x+5) and ( 4x-3)

Question 43(i)Plot the given points on a graph sheet and check if the points lie on a straight line. If not, name the shape they form when joined in the given order.(1,2), (2,4), (3,6), (4,8)

Simplify 3√27P27

The wavelength (w) of matter waves man depends on Planck's constant (H) ,mass(m) and velocity (v) of particle . Use the method of dimension to derive the formula

In a school, 30% of students play chess, 60% play carrom and the rest play other games. If the total number of students in the school is 900, find the exact number of students who play each game.

The ratio 3:4 into percentage is ________.

The roster form of the set {x:x=2r+3, where r ϵ I and −2&lt;r≤3}.

If CP = RS 200 and discount percent is 5%, find the SP.

A rectangle with length and breadth equal to 19m and 17m respectively has to be converted into a square having the same area. What will be the side of the square? (Give answer till two decimal places).

The roster form of the set {x:x=2r+3, where r ϵ I and −2<r≤3}.