25365 + Interview Questions in Mathematics Page 8 InterviewSolution

351.	what are the roots of \sqrt{-4
Answer» what are the roots of \sqrt{-4

Discussion

352.	Renu wants to buy a washing machine whose printed price is ₹10000. 18% GST is charged on this price. What amount should Renu pay to buy the washing machine?
Answer» Renu wants to buy a washing machine whose printed price is ₹ $10000$ . $18 %$ GST is charged on this price. What amount should Renu pay to buy the washing machine?

Discussion

353.	Which of the following are definitely regular polygons?
Answer» Which of the following are definitely regular polygons?

Discussion

354.	Find the compound interest earned on ₹ 20,000 for 3 years at 10% per annum compounded annually.
Answer» Find the compound interest earned on ₹ 20,000 for 3 years at 10% per annum compounded annually.

Discussion

355.	Why is P(SiH3)3 pyramidal in geometry?
Answer» Why is P(SiH3)3 pyramidal in geometry?

Discussion

356.	Mass of A is 9.97×1024kg and mass of B is 6.35×1022kg. What is the total mass of A + B ?
Answer» Mass of A is $9.97 \times 10^{24} k g$ and mass of B is $6.35 \times 10^{22} k g .$ What is the total mass of A + B ?

Discussion

357.	What is 203 - 193?
Answer» What is $20^{3}$ - $19^{3}$ ?

Discussion

358.	4x^2-4a^2x+(a^4-b^4)=0
Answer» 4x^2-4a^2x+(a^4-b^4)=0

Discussion

359.	Question 1Given a cylindrical tank, in which situation will you find the surface area and in which situation volume.(a) To find how much it can hold(b) Number of cement bags required to plaster it(c) To find the number of smaller tanks that can be filled with water from it.
Answer» Question 1 Given a cylindrical tank, in which situation will you find the surface area and in which situation volume. (a) To find how much it can hold (b) Number of cement bags required to plaster it (c) To find the number of smaller tanks that can be filled with water from it.

Discussion

360.	Vishal sold goods for ₹ 70,000 to Manju on Jan. 5, 2019 and drew upon her a bill of exchange payable after 2 months. Manju accepted Vishal's draft and handed over the same to Vishal after acceptance. Vishal immediately discounted the bill with his bank 12% p.a. On the due date Manju met her acceptance. Journalise the above transactions in the books of Vishal and Manju.
Answer» Vishal sold goods for ₹ 70,000 to Manju on Jan. 5, 2019 and drew upon her a bill of exchange payable after 2 months. Manju accepted Vishal's draft and handed over the same to Vishal after acceptance. Vishal immediately discounted the bill with his bank 12% p.a. On the due date Manju met her acceptance. Journalise the above transactions in the books of Vishal and Manju.

Discussion

361.	Which of the following is a solid?
Answer» Which of the following is a solid?

Discussion

362.	Find the expression that gives the area of the given rectangle.
Answer» Find the expression that gives the area of the given rectangle.

Discussion

363.	Maria invested Rs 8,000 in a business. She would be paid interest at 5% per annum compounded annually. Find the interest for the third year.
Answer» Maria invested Rs 8,000 in a business. She would be paid interest at 5% per annum compounded annually. Find the interest for the third year.

Discussion

364.	26. 4 men can do as much work in 7 days as 6 women do in the same time. Find the number of days required to finish the work by 8 men and 9 women working together?
Answer» 26. 4 men can do as much work in 7 days as 6 women do in the same time. Find the number of days required to finish the work by 8 men and 9 women working together?

Discussion

365.	Question 71 The class size of the class interval 60 - 68 is 8.
Answer» Question 71 The class size of the class interval 60 - 68 is 8.

365.

Question 71 The class size of the class interval 60 - 68 is 8.

Answer»

Question 71

The class size of the class interval 60 - 68 is 8.

Discussion

366.	Find the smallest number by which 235445 must be divided so that it becomes a perfect square also find the square root of the perfect square so obtained
Answer» Find the smallest number by which 235445 must be divided so that it becomes a perfect square also find the square root of the perfect square so obtained

Discussion

367.	In the given figure, AB divides ∠DAC in the ratio 1 : 3 and AB = DB. Determine the value of x.
Answer» In the given figure, AB divides ∠DAC in the ratio 1 : 3 and AB = DB. Determine the value of x.

Discussion

368.	If triangle ABC, PQ is a line intersecting AB at P and AC at Q such that PQ is parallel to BC and PQ divides triangle ABC in two parts of equal area then BP/AB is
Answer» If triangle ABC, PQ is a line intersecting AB at P and AC at Q such that PQ is parallel to BC and PQ divides triangle ABC in two parts of equal area then BP/AB is

Discussion

369.	The sum of the digits of a two digit number is 15.if the number formed by reversing the digit less then the original number by 27,then find the original number.
Answer» The sum of the digits of a two digit number is 15.if the number formed by reversing the digit less then the original number by 27,then find the original number.

Discussion

370.	If y=xsinn^2x, find dy/dx
Answer» If y=xsinn^2x, find dy/dx

Discussion

371.	There is a solid cylinder of base radius 5 cm and height 10 cm. From one of the flat ends of the solid cylinder a hemispherical depression having same radius as cylinder is hollowed out. What is the total surface area (in sq.cm) of this new solid?
Answer» There is a solid cylinder of base radius 5 cm and height 10 cm. From one of the flat ends of the solid cylinder a hemispherical depression having same radius as cylinder is hollowed out. What is the total surface area (in sq.cm) of this new solid?

Discussion

372.	Factorise:(1) y3 − 27(2) x3 − 64y3 (3) 27m3 − 216n3 (4) 125y3 − 1(5) 8p3 − 27p3(6) 343a3 − 512b3 (7) 64x3 − 729y3 (8) 16a3 − 128b3
Answer» Factorise: (1) y³− 27 (2) x³− 64y³ (3) 27m³− 216n³ (4) 125y³− 1 (5) 8p³− $\frac{27}{p^{3}}$ (6) 343a³ − 512b³ (7) 64x³− 729y³ (8) 16a³− $\frac{128}{b^{3}}$

Discussion

373.	Evaluate the following expression: [(-72) ÷ 9] ÷ 4
Answer» Evaluate the following expression: [(-72) $\div$ 9] $\div$ 4

Discussion

374.	Out of 120 people in a room,3/5 are women.If 2/3 of the people are married,then what is maximum number of women in the room who could be unmarried? (A)40 (B)20 (C)30 (D)60
Answer» Out of 120 people in a room,3/5 are women.If 2/3 of the people are married,then what is maximum number of women in the room who could be unmarried? (A)40 (B)20 (C)30 (D)60

Discussion

375.	Find the value of (103)2 using algebraic identities.
Answer» Find the value of ${(103)}^{2}$ using algebraic identities.

Discussion

376.	Question 41 Fill in the blanks to make the statements true. √1.96= ___
Answer» Question 41 Fill in the blanks to make the statements true. $\sqrt{1.96} =$ ___

376.

Question 41 Fill in the blanks to make the statements true. √1.96= ___

Answer»

Question 41

Fill in the blanks to make the statements true.

$\sqrt{1.96} =$ ___

Discussion

377.	Saraswati Ltd. purchased a machinery costing Rs 10,00,000 on January 01, 2011. A new machinery was purchased on 01 May, 2012 for Rs 15,00,000 and another on July 01, 2014 for Rs 12,00,000. A part of the machinery which originally cost Rs 2,00,000 in 2011 was sold for Rs 75,000 on October 31, 2014. Show the machinery account, provision for depreciation account and machinery disposal account from 2011 to 2015 if depreciation is provided at 10% p.a. on original cost and account are closed on December 31, every year.
Answer» Saraswati Ltd. purchased a machinery costing Rs 10,00,000 on January 01, 2011. A new machinery was purchased on 01 May, 2012 for Rs 15,00,000 and another on July 01, 2014 for Rs 12,00,000. A part of the machinery which originally cost Rs 2,00,000 in 2011 was sold for Rs 75,000 on October 31, 2014. Show the machinery account, provision for depreciation account and machinery disposal account from 2011 to 2015 if depreciation is provided at 10% p.a. on original cost and account are closed on December 31, every year.

Discussion

378.	Question 2 (i)A die is numbered in such a way that its faces show the numbers 1, 2, 2, 3, 3, 6. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two throws:What is the probability that the total score is even?
Answer» Question 2 (i) A die is numbered in such a way that its faces show the numbers 1, 2, 2, 3, 3, 6. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two throws: What is the probability that the total score is even?

Discussion

379.	Six men can do a certain piece of work in (5𝑥 + 6) days and 11 men can do the same work in 3𝑥 days. Find the value of 𝑥.
Answer» Six men can do a certain piece of work in (5𝑥 + 6) days and 11 men can do the same work in 3𝑥 days. Find the value of 𝑥.

Discussion

380.	If 2(2a+1)×3(3b+2)62=2x×3yChose the correct option:
Answer» If $\frac{2^{(2 a + 1)} \times 3^{(3 b + 2)}}{6^{2}} = 2^{x} \times 3^{y}$ Chose the correct option:

380.

If 2(2a+1)×3(3b+2)62=2x×3yChose the correct option:

Answer»

If $\frac{2^{(2 a + 1)} \times 3^{(3 b + 2)}}{6^{2}} = 2^{x} \times 3^{y}$

Chose the correct option:

Discussion

381.	Suppose ABCD is rectangle. Using RHS theorem, prove that triangles ABC and ADC are congruent.
Answer» Suppose ABCD is rectangle. Using RHS theorem, prove that triangles ABC and ADC are congruent.

Discussion

382.	Find out the appropriate word which fits the 7th blank.
Answer» Find out the appropriate word which fits the 7th blank.

Discussion

383.	Mark the correct alternative in the following question:The sum of the coefficients in the monomials 3a2b and -2ab2 is(a) 5 (b) -1 (c) 1 (d) 6
Answer» Mark the correct alternative in the following question: The sum of the coefficients in the monomials 3a²b and $-$ 2ab² is (a) 5 (b) $-$ 1 (c) 1 (d) 6

Discussion

384.	For what value of 'x' is 78−(−114)+x=3724?
Answer» For what value of 'x' is $\frac{7}{8} - (- \frac{11}{4}) + x = 3 \frac{7}{24}$ ?

Discussion

385.	Four alternative options are given for each of the following statements. Select the correct option.A Radio marked Rs 1000 is given away for Rs 850. The discount is:A. Rs 50B. Rs 100C. Rs 150D. Rs 200
Answer» Four alternative options are given for each of the following statements. Select the correct option. A Radio marked Rs 1000 is given away for Rs 850. The discount is: A. Rs 50 B. Rs 100 C. Rs 150 D. Rs 200

385.

Four alternative options are given for each of the following statements. Select the correct option.A Radio marked Rs 1000 is given away for Rs 850. The discount is:A. Rs 50B. Rs 100C. Rs 150D. Rs 200

Answer»

Four alternative options are given for each of the following statements.

Select the correct option.

A Radio marked Rs 1000 is given away for Rs 850. The discount is:

A. Rs 50

B. Rs 100

C. Rs 150

D. Rs 200

Discussion

386.	In the figure, AB is a straight line. Find x.
Answer» In the figure, AB is a straight line. Find x.

386.

In the figure, AB is a straight line. Find x.

Answer»

In the figure, AB is a straight line. Find x.

Discussion

387.	The value of x for the equation 3(x + 3) = 5(x - 5) also satisfies the equation ______.
Answer» The value of x for the equation 3(x + 3) = 5(x - 5) also satisfies the equation ______.

Discussion

388.	Using the identity, simplify the following:(i) (a + 6)2, (ii) (3x + 2y)2; (iii) (2p + 3q)2; (iv) (x2 + 5)2.
Answer» Using the identity, simplify the following: (i) (a + 6)², (ii) (3x + 2y)²; (iii) (2p + 3q)²; (iv) (x² + 5)².

388.

Using the identity, simplify the following:(i) (a + 6)2, (ii) (3x + 2y)2; (iii) (2p + 3q)2; (iv) (x2 + 5)2.

Answer»

Using the identity, simplify the following:

(i) (a + 6)², (ii) (3x + 2y)²; (iii) (2p + 3q)²; (iv) (x² + 5)².

Discussion

389.	Simplify, giving answers with positive index:(i) 2b6.b3.5b4(ii) x2.y3.6x5y.9x3y4
Answer» Simplify, giving answers with positive index: (i) $2 b^{6} . b^{3} .5 b^{4}$ (ii) $x^{2} . y^{3} .6 x^{5} y .9 x^{3} y^{4}$

Discussion

390.	Prove that (Using Venn Diagram) :(i) A is subset of B => A intersection B = A
Answer» Prove that (Using Venn Diagram) : (i) A is subset of B => A intersection B = A

Discussion

391.	Factorise : (x+y)(a+b)+(x−y)(a+b)
Answer» Factorise : $(x + y) (a + b) + (x - y) (a + b)$

391.

Factorise : (x+y)(a+b)+(x−y)(a+b)

Answer»

Factorise :

$(x + y) (a + b) + (x - y) (a + b)$

Discussion

392.	25.Find (125)
Answer» 25.Find (125)

Discussion

393.	Find the value of 2x×(−15yz)×3xz.
Answer» Find the value of $2 x \times (- 15 y z) \times 3 x z$ .

Discussion

394.	The part of the number line between the points denoted by the numbers 13 and 12 is divided into four equal parts as shown below. The numbers denoted by A,B and C are _______.
Answer» The part of the number line between the points denoted by the numbers $\frac{1}{3}$ and $\frac{1}{2}$ is divided into four equal parts as shown below. The numbers denoted by A,B and C are _______.

394.

The part of the number line between the points denoted by the numbers 13 and 12 is divided into four equal parts as shown below. The numbers denoted by A,B and C are _______.

Answer»

The part of the number line between the points denoted by the numbers $\frac{1}{3}$ and $\frac{1}{2}$ is divided into four equal parts as shown below. The numbers denoted by A,B and C are _______.

Discussion

395.	The square of a number is 64. What is its cube root?
Answer» The square of a number is 64. What is its cube root?

Discussion

396.	Question 86 (iv) Using suitable identities, evaluate the following: (98)2
Answer» Question 86 (iv) Using suitable identities, evaluate the following: $(98)^{2}$

396.

Question 86 (iv) Using suitable identities, evaluate the following: (98)2

Answer»

Question 86 (iv)

Using suitable identities, evaluate the following:

$(98)^{2}$

Discussion

397.	How we can say that a wire is 1D as it is like a cylinder ?
Answer» How we can say that a wire is 1D as it is like a cylinder ?

Discussion

398.	A family went to a restaurant for dinner. The bill amounting ₹ 3000 was handed which was not inclusive of the 4% value added tax (VAT). The new bill would be:
Answer» A family went to a restaurant for dinner. The bill amounting ₹ 3000 was handed which was not inclusive of the 4% value added tax (VAT). The new bill would be:

Discussion

399.	A,B and C together can do a piece of work in 15 days, B alone can do it in 30 days and C alone can do it in 40 days. In how many days will A alone do the work
Answer» A,B and C together can do a piece of work in 15 days, B alone can do it in 30 days and C alone can do it in 40 days. In how many days will A alone do the work

Discussion

400.	If a^2+b^2=1, then (1+b+ia)/(1+b-ai) is equal to, where a,b belongs to R
Answer» If a^2+b^2=1, then (1+b+ia)/(1+b-ai) is equal to, where a,b belongs to R

Discussion

Explore topic-wise InterviewSolutions in .

what are the roots of \sqrt{-4

Renu wants to buy a washing machine whose printed price is ₹10000. 18% GST is charged on this price. What amount should Renu pay to buy the washing machine?

Which of the following are definitely regular polygons?

Find the compound interest earned on ₹ 20,000 for 3 years at 10% per annum compounded annually.

Why is P(SiH3)3 pyramidal in geometry?

Mass of A is 9.97×1024kg and mass of B is 6.35×1022kg. What is the total mass of A + B ?

What is 203 - 193?

4x^2-4a^2x+(a^4-b^4)=0

Question 1Given a cylindrical tank, in which situation will you find the surface area and in which situation volume.(a) To find how much it can hold(b) Number of cement bags required to plaster it(c) To find the number of smaller tanks that can be filled with water from it.

Which of the following is a solid?

Find the expression that gives the area of the given rectangle.

Maria invested Rs 8,000 in a business. She would be paid interest at 5% per annum compounded annually. Find the interest for the third year.

26. 4 men can do as much work in 7 days as 6 women do in the same time. Find the number of days required to finish the work by 8 men and 9 women working together?

Question 71 The class size of the class interval 60 - 68 is 8.

Find the smallest number by which 235445 must be divided so that it becomes a perfect square also find the square root of the perfect square so obtained

In the given figure, AB divides ∠DAC in the ratio 1 : 3 and AB = DB. Determine the value of x.

If triangle ABC, PQ is a line intersecting AB at P and AC at Q such that PQ is parallel to BC and PQ divides triangle ABC in two parts of equal area then BP/AB is

The sum of the digits of a two digit number is 15.if the number formed by reversing the digit less then the original number by 27,then find the original number.

If y=xsinn^2x, find dy/dx

There is a solid cylinder of base radius 5 cm and height 10 cm. From one of the flat ends of the solid cylinder a hemispherical depression having same radius as cylinder is hollowed out. What is the total surface area (in sq.cm) of this new solid?

Factorise:(1) y3 − 27(2) x3 − 64y3 (3) 27m3 − 216n3 (4) 125y3 − 1(5) 8p3 − 27p3(6) 343a3 − 512b3 (7) 64x3 − 729y3 (8) 16a3 − 128b3

Evaluate the following expression: [(-72) ÷ 9] ÷ 4

Out of 120 people in a room,3/5 are women.If 2/3 of the people are married,then what is maximum number of women in the room who could be unmarried? (A)40 (B)20 (C)30 (D)60

Find the value of (103)2 using algebraic identities.

Question 41 Fill in the blanks to make the statements true. √1.96= ___

Six men can do a certain piece of work in (5𝑥 + 6) days and 11 men can do the same work in 3𝑥 days. Find the value of 𝑥.

If 2(2a+1)×3(3b+2)62=2x×3yChose the correct option:

Suppose ABCD is rectangle. Using RHS theorem, prove that triangles ABC and ADC are congruent.

Find out the appropriate word which fits the 7th blank.

Mark the correct alternative in the following question:The sum of the coefficients in the monomials 3a2b and -2ab2 is(a) 5 (b) -1 (c) 1 (d) 6

For what value of 'x' is 78−(−114)+x=3724?

Four alternative options are given for each of the following statements. Select the correct option.A Radio marked Rs 1000 is given away for Rs 850. The discount is:A. Rs 50B. Rs 100C. Rs 150D. Rs 200

In the figure, AB is a straight line. Find x.

The value of x for the equation 3(x + 3) = 5(x - 5) also satisfies the equation ______.

Using the identity, simplify the following:(i) (a + 6)2, (ii) (3x + 2y)2; (iii) (2p + 3q)2; (iv) (x2 + 5)2.

Simplify, giving answers with positive index:(i) 2b6.b3.5b4(ii) x2.y3.6x5y.9x3y4

Prove that (Using Venn Diagram) :(i) A is subset of B => A intersection B = A

Factorise : (x+y)(a+b)+(x−y)(a+b)

25.Find (125)

Find the value of 2x×(−15yz)×3xz.

The part of the number line between the points denoted by the numbers 13 and 12 is divided into four equal parts as shown below. The numbers denoted by A,B and C are _______.

The square of a number is 64. What is its cube root?

Question 86 (iv) Using suitable identities, evaluate the following: (98)2

How we can say that a wire is 1D as it is like a cylinder ?

A family went to a restaurant for dinner. The bill amounting ₹ 3000 was handed which was not inclusive of the 4% value added tax (VAT). The new bill would be:

A,B and C together can do a piece of work in 15 days, B alone can do it in 30 days and C alone can do it in 40 days. In how many days will A alone do the work

If a^2+b^2=1, then (1+b+ia)/(1+b-ai) is equal to, where a,b belongs to R