25365 + Interview Questions in Mathematics

1.	A stationer buys pens at 5 for Rs.28 and sells them at a profit of 25%. How much should a customer pay; if he buys (i) only one pen ? (ii) three pens ?
Answer» A stationer buys pens at 5 for Rs.28 and sells them at a profit of 25%. How much should a customer pay; if he buys (i) only one pen ? (ii) three pens ?

Discussion

2.	In the given figure, prove that: [2 MARKS] ΔABD≅ΔACD
Answer» In the given figure, prove that: [2 MARKS] $Δ A B D ≅ Δ A C D$

Discussion

3.	In Fig. ∠E >∠A and ∠C >∠D. Prove that AD >EC. [2 MARKS]
Answer» In Fig. $∠$ E $>$ $∠$ A and $∠$ C $>$ $∠$ D. Prove that AD $>$ EC. [2 MARKS]

3.

In Fig. ∠E >∠A and ∠C >∠D. Prove that AD >EC. [2 MARKS]

Answer»

In Fig. $∠$ E $>$ $∠$ A and $∠$ C $>$ $∠$ D. Prove that AD $>$ EC. [2 MARKS]

Discussion

4.	Question 12 (i) Find the values of the angles x, y and z in each of the following:
Answer» Question 12 (i) Find the values of the angles x, y and z in each of the following:

Discussion

5.	What is the sum of the cubes of the first 7 natural numbers?
Answer» What is the sum of the cubes of the first 7 natural numbers?

Discussion

6.	Which of these is an example of inverse proportion?
Answer» Which of these is an example of inverse proportion?

Discussion

7.	For which of the following cases, do the diagonals intersect each other at 90∘?
Answer» For which of the following cases, do the diagonals intersect each other at $90^{\circ}$ ?

Discussion

8.	Which of the following is a binomial?
Answer» Which of the following is a binomial?

Discussion

9.	Degree of the algebraic expression '2' is
Answer» Degree of the algebraic expression ' $2$ ' is

Discussion

10.	Which number must be subtracted from 1786 to make it a perfect square?
Answer» Which number must be subtracted from 1786 to make it a perfect square?

Discussion

11.	Find the square root of : (i) 64 (ii) 343 (iii) 729 (iv) 1728 (v) 9261 (vi) 4096 (vii) 8000 (viii) 3375
Answer» Find the square root of : (i) 64 (ii) 343 (iii) 729 (iv) 1728 (v) 9261 (vi) 4096 (vii) 8000 (viii) 3375

11.

Find the square root of : (i) 64 (ii) 343 (iii) 729 (iv) 1728 (v) 9261 (vi) 4096 (vii) 8000 (viii) 3375

Answer»

Find the square root of :

(i) 64 (ii) 343 (iii) 729

(iv) 1728 (v) 9261 (vi) 4096

(vii) 8000 (viii) 3375

Discussion

12.	Question 7 (i) In a squared sheet, draw two triangles of equal area such that: The triangles are congruent. What can you say about their perimeters?
Answer» Question 7 (i) In a squared sheet, draw two triangles of equal area such that: The triangles are congruent. What can you say about their perimeters?

Discussion

13.	If √0.04×0.4×a=0.4×0.04×√b, the value of ba is
Answer» If $\sqrt{0.04 \times 0.4 \times a} = 0.4 \times 0.04 \times \sqrt{b}$ , the value of $\frac{b}{a}$ is

Discussion

14.	Find the perimeter of a square of side 10m. Express your answer in cm. [1 MARK]
Answer» Find the perimeter of a square of side 10m. Express your answer in cm. [1 MARK]

Discussion

15.	Neha's toy car can travel 288 meters in a minute while Vendetta's toy car can travel 24.48 kilometres in an hour. The ratio of the speed of the cars belonging to Neha and Vendetta is: [4 MARKS]
Answer» Neha's toy car can travel 288 meters in a minute while Vendetta's toy car can travel 24.48 kilometres in an hour. The ratio of the speed of the cars belonging to Neha and Vendetta is: [4 MARKS]

Discussion

16.	In what ratio a grocer mix two varieties of tea worth Rs. 60 per kg and Rs. 65 per kg so that by selling mixture at Rs. 68.20 kg he may gain 10%?
Answer» In what ratio a grocer mix two varieties of tea worth Rs. 60 per kg and Rs. 65 per kg so that by selling mixture at Rs. 68.20 kg he may gain 10%?

Discussion

17.	An article marked at ₹5000 is sold for ₹4200. Find the discount and discount percentage.
Answer» An article marked at ₹5000 is sold for ₹4200. Find the discount and discount percentage.

Discussion

18.	Divide (−25x4y) by 5x2.
Answer» $Divide (- 25 x^{4} y) b y 5 x^{2} .$

Discussion

19.	A quadrilateral PQRS is to be constructed. Lenghts of PQ, QR, PS, and PR are known. Which additional measurement is required to construct PQRS uniquely?
Answer» A quadrilateral PQRS is to be constructed. Lenghts of PQ, QR, PS, and PR are known. Which additional measurement is required to construct PQRS uniquely?

Discussion

20.	Square prism is also known as ___ .
Answer» Square prism is also known as ___ .

Discussion

21.	The sum of adjacent angles of a parallelogram is a) 180∘ b) 120∘ c) 360∘ d) 90∘
Answer» The sum of adjacent angles of a parallelogram is a) $180^{\circ}$ b) $120^{\circ}$ c) $360^{\circ}$ d) $90^{\circ}$

Discussion

22.	One of the two digit of a two digit number is 3 times the other digit if you interchange the digit of these two digit number and and the resulting number to the original number you get 88 what is the original number
Answer» One of the two digit of a two digit number is 3 times the other digit if you interchange the digit of these two digit number and and the resulting number to the original number you get 88 what is the original number

Discussion

23.	Question 3(viii) Factorise the expressions 10ab+4a+5b+2
Answer» Question 3(viii) Factorise the expressions $10 a b + 4 a + 5 b + 2$

Discussion

24.	In the adjacent figure, the bisectors of ∠A and ∠B meet at a point P. If ∠C=1000 and ∠D=600, find the measure of ∠APB.
Answer» In the adjacent figure, the bisectors of $∠ A$ and $∠ B$ meet at a point P. If $∠ C = 100^{0}$ and $∠ D = 60^{0}$ , find the measure of $∠ A P B$ .

Discussion

25.	Construct a quadrilateral PQRS where PQ=3.5 cm, QR=6.5 cm, ∠P=∠R=105∘ and ∠S=75∘
Answer» Construct a quadrilateral PQRS where PQ=3.5 cm, QR=6.5 cm, $∠ P = ∠ R = 105^{\circ}$ and $∠ S = 75^{\circ}$

Discussion

26.	Divide 49x2yz2 by 7y2z3 .
Answer» Divide $49 x^{2} y z^{2}$ by $7 y^{2} z^{3}$ .

Discussion

27.	Factorise (a3−8b3).
Answer» Factorise $(a^{3} - 8 b^{3})$ .

Discussion

28.	Factorise a2+1a2+2−7a−7a
Answer» Factorise $a^{2} + \frac{1}{a^{2}} + 2 - 7 a - \frac{7}{a}$

Discussion

29.	A field in a shape of a quadrilateral ABCD in which side AB=18 m, side AD=24 m, side BC=40 m and side DC=50 m and ∠A=90∘. find the area of the field.
Answer» A field in a shape of a quadrilateral ABCD in which side $A B = 18 m$ , side $A D = 24 m$ , side $B C = 40 m$ and side $D C = 50 m$ and $∠ A = 90^{\circ}$ . find the area of the field.

Discussion

30.	Find the area of quadrilateral ABCD in sq.units. Given AE = 10 units, BD =20 units and CF = 8 units
Answer» Find the area of quadrilateral ABCD in sq.units. Given AE = 10 units, BD =20 units and CF = 8 units

30.

Find the area of quadrilateral ABCD in sq.units. Given AE = 10 units, BD =20 units and CF = 8 units

Answer»

Find the area of quadrilateral ABCD in sq.units. Given AE = 10 units, BD =20 units and CF = 8 units

Discussion

31.	Which of the two rational numbers is greater? −79,−35 [2 MARKS]
Answer» Which of the two rational numbers is greater? $\frac{- 7}{9}, \frac{- 3}{5}$ [2 MARKS]

Discussion

32.	A garrison of 900 men had provisions for 42 days. However, reinforcement of 500 men arrived. For how many days will the food last now?
Answer» A garrison of $900$ men had provisions for $42$ days. However, reinforcement of $500$ men arrived. For how many days will the food last now?

Discussion

33.	Out of the following algebraic expressions, identify the binomial.
Answer» Out of the following algebraic expressions, identify the binomial.

Discussion

34.	In the given figure, if ∠CAD=150∘ and ∠ABC=60∘, then reflex ∠ACB=___ .
Answer» In the given figure, if $∠ C A D = 150^{\circ}$ and $∠ A B C = 60^{\circ},$ then reflex $∠ A C B =$ ___ .

34.

In the given figure, if ∠CAD=150∘ and ∠ABC=60∘, then reflex ∠ACB=___ .

Answer»

In the given figure, if $∠ C A D = 150^{\circ}$ and $∠ A B C = 60^{\circ},$ then reflex $∠ A C B =$ ___ .

Discussion

35.	Please explain me the concept of congruent triangle & criterias on congruency.
Answer» Please explain me the concept of congruent triangle & criterias on congruency.

Discussion

36.	The present age of Vinay’s mother is three times the present age of Vinay. After 5 years, sum of their ages will be 70 years. Find their present ages.
Answer» The present age of Vinay’s mother is three times the present age of Vinay. After 5 years, sum of their ages will be 70 years. Find their present ages.

Discussion

37.	What is the sentence type? Live frugally on surprise!
Answer» What is the sentence type? Live frugally on surprise!

37.

What is the sentence type? Live frugally on surprise!

Answer»

What is the sentence type?

Live frugally on surprise!

Discussion

38.	The formula of which regular shapes can be calculated using the formula base*height
Answer» The formula of which regular shapes can be calculated using the formula base*height

Discussion

39.	Which of the following are obviously not perfect squares?
Answer» Which of the following are obviously not perfect squares?

Discussion

40.	The ratio of marks scored by Kamal in physics, chemistry and mathematics is 3 : 3 : 4. If the average of physics, chemistry and mathematics is 80. Find the marks scored by Kamal in each subject. [3 MARKS]
Answer» The ratio of marks scored by Kamal in physics, chemistry and mathematics is 3 : 3 : 4. If the average of physics, chemistry and mathematics is 80. Find the marks scored by Kamal in each subject. [3 MARKS]

Discussion

41.	One day the ratio of the Number of First Class and second class passengers who travelled were in the ratio of 1:30. The ratio of first and second class fares is 3:1. The total amount collected from the passengers that day was rupees 66000. Find the amount Collectorate from the first class passenger in rupees. please explain it in detail.
Answer» One day the ratio of the Number of First Class and second class passengers who travelled were in the ratio of 1:30. The ratio of first and second class fares is 3:1. The total amount collected from the passengers that day was rupees 66000. Find the amount Collectorate from the first class passenger in rupees. please explain it in detail.

Discussion

42.	Find the probability of girls playing softball in the total class. [2 MARKS]
Answer» Find the probability of girls playing softball in the total class. [2 MARKS]

42.

Find the probability of girls playing softball in the total class. [2 MARKS]

Answer»

Find the probability of girls playing softball in the total class. [2 MARKS]

Discussion

43.	Write the quotient and remainder when we divide. (x2+12x+35) by (x+7)
Answer» Write the quotient and remainder when we divide. $(x^{2} + 12 x + 35)$ by $(x + 7)$

43.

Write the quotient and remainder when we divide. (x2+12x+35) by (x+7)

Answer»

Write the quotient and remainder when we divide.

$(x^{2} + 12 x + 35)$ by $(x + 7)$

Discussion

44.	Dhoni won a game off the last ball by scoring 2 4 2 2 4 6 in the last over when 20 runs were required. If the scorecard for the last over was randomly rearranged, what is the probability that he finished the game with a six?
Answer» Dhoni won a game off the last ball by scoring 2 4 2 2 4 6 in the last over when 20 runs were required. If the scorecard for the last over was randomly rearranged, what is the probability that he finished the game with a six?

Discussion

45.	Question 74 In the following question, state whether the statement is True (T) or False (F): Factorised from of p2+30p+216 is (p + 18) (p - 12).
Answer» Question 74 In the following question, state whether the statement is True (T) or False (F): Factorised from of $p^{2} + 30 p + 216$ is (p + 18) (p - 12).

45.

Question 74 In the following question, state whether the statement is True (T) or False (F): Factorised from of p2+30p+216 is (p + 18) (p - 12).

Answer»

Question 74

In the following question, state whether the statement is True (T) or False (F):

Factorised from of $p^{2} + 30 p + 216$ is (p + 18) (p - 12).

Discussion

46.	Ramya wanted to arrange 90 Barfis (with 1×1 dimension) in the box. She has 5 boxes of dimension 10×9, 9×10, 5×18, 16×5 and 18×5. Among these boxes in which box she can not arrange all Barfi?
Answer» Ramya wanted to arrange 90 Barfis (with $1 \times 1$ dimension) in the box. She has 5 boxes of dimension $10 \times 9$ , $9 \times 10$ , $5 \times 18$ , $16 \times 5$ and $18 \times 5$ . Among these boxes in which box she can not arrange all Barfi?

Discussion

47.	Question 68 A contractor undertook a contract to complete a part of a stadium in 9 months with a team of 560 persons. Later on, it was required to complete the job in 5 months. How many extra persons should he employ to complete the work?
Answer» Question 68 A contractor undertook a contract to complete a part of a stadium in 9 months with a team of 560 persons. Later on, it was required to complete the job in 5 months. How many extra persons should he employ to complete the work?

47.

Question 68 A contractor undertook a contract to complete a part of a stadium in 9 months with a team of 560 persons. Later on, it was required to complete the job in 5 months. How many extra persons should he employ to complete the work?

Answer»

Question 68

A contractor undertook a contract to complete a part of a stadium in 9 months with a team of 560 persons. Later on, it was required to complete the job in 5 months. How many extra persons should he employ to complete the work?

Discussion

48.	Verify whether the given statement is true or false : (i) (59÷13)÷52=59÷(13÷52) (ii) {(−16)÷65}÷−910=(−16)÷{65÷−910} (iii) (−35÷−1235)÷114=−35÷(−1235÷114)
Answer» Verify whether the given statement is true or false : (i) $(\frac{5}{9} \div \frac{1}{3}) \div \frac{5}{2} = \frac{5}{9} \div (\frac{1}{3} \div \frac{5}{2})$ (ii) ${(- 16) \div \frac{6}{5}} \div \frac{- 9}{10} = (- 16) \div {\frac{6}{5} \div \frac{- 9}{10}}$ (iii) $(\frac{- 3}{5} \div \frac{- 12}{35}) \div \frac{1}{14} = \frac{- 3}{5} \div (\frac{- 12}{35} \div \frac{1}{14})$

48.

Verify whether the given statement is true or false : (i) (59÷13)÷52=59÷(13÷52) (ii) {(−16)÷65}÷−910=(−16)÷{65÷−910} (iii) (−35÷−1235)÷114=−35÷(−1235÷114)

Answer»

Verify whether the given statement is true or false :

(i) $(\frac{5}{9} \div \frac{1}{3}) \div \frac{5}{2} = \frac{5}{9} \div (\frac{1}{3} \div \frac{5}{2})$

(ii) ${(- 16) \div \frac{6}{5}} \div \frac{- 9}{10} = (- 16) \div {\frac{6}{5} \div \frac{- 9}{10}}$

(iii) $(\frac{- 3}{5} \div \frac{- 12}{35}) \div \frac{1}{14} = \frac{- 3}{5} \div (\frac{- 12}{35} \div \frac{1}{14})$

Discussion

49.	A point has ___ dimension(s).
Answer» A point has ___ dimension(s).

Discussion

50.	What is the amount of interest on Rs 20000 for one year?
Answer» What is the amount of interest on Rs 20000 for one year?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

A stationer buys pens at 5 for Rs.28 and sells them at a profit of 25%. How much should a customer pay; if he buys (i) only one pen ? (ii) three pens ?

In the given figure, prove that: [2 MARKS] ΔABD≅ΔACD

In Fig. ∠E &gt;∠A and ∠C &gt;∠D. Prove that AD &gt;EC. [2 MARKS]

Question 12 (i) Find the values of the angles x, y and z in each of the following:

What is the sum of the cubes of the first 7 natural numbers?

Which of these is an example of inverse proportion?

For which of the following cases, do the diagonals intersect each other at 90∘?

Which of the following is a binomial?

Degree of the algebraic expression '2' is

Which number must be subtracted from 1786 to make it a perfect square?

Find the square root of : (i) 64 (ii) 343 (iii) 729 (iv) 1728 (v) 9261 (vi) 4096 (vii) 8000 (viii) 3375

Question 7 (i) In a squared sheet, draw two triangles of equal area such that: The triangles are congruent. What can you say about their perimeters?

If √0.04×0.4×a=0.4×0.04×√b, the value of ba is

Find the perimeter of a square of side 10m. Express your answer in cm. [1 MARK]

Neha's toy car can travel 288 meters in a minute while Vendetta's toy car can travel 24.48 kilometres in an hour. The ratio of the speed of the cars belonging to Neha and Vendetta is: [4 MARKS]

In what ratio a grocer mix two varieties of tea worth Rs. 60 per kg and Rs. 65 per kg so that by selling mixture at Rs. 68.20 kg he may gain 10%?

An article marked at ₹5000 is sold for ₹4200. Find the discount and discount percentage.

Divide (−25x4y) by 5x2.

A quadrilateral PQRS is to be constructed. Lenghts of PQ, QR, PS, and PR are known. Which additional measurement is required to construct PQRS uniquely?

Square prism is also known as ___ .

The sum of adjacent angles of a parallelogram is a) 180∘ b) 120∘ c) 360∘ d) 90∘

One of the two digit of a two digit number is 3 times the other digit if you interchange the digit of these two digit number and and the resulting number to the original number you get 88 what is the original number

Question 3(viii) Factorise the expressions 10ab+4a+5b+2

In the adjacent figure, the bisectors of ∠A and ∠B meet at a point P. If ∠C=1000 and ∠D=600, find the measure of ∠APB.

Construct a quadrilateral PQRS where PQ=3.5 cm, QR=6.5 cm, ∠P=∠R=105∘ and ∠S=75∘

Divide 49x2yz2 by 7y2z3 .

Factorise (a3−8b3).

Factorise a2+1a2+2−7a−7a

A field in a shape of a quadrilateral ABCD in which side AB=18 m, side AD=24 m, side BC=40 m and side DC=50 m and ∠A=90∘. find the area of the field.

Find the area of quadrilateral ABCD in sq.units. Given AE = 10 units, BD =20 units and CF = 8 units

Which of the two rational numbers is greater? −79,−35 [2 MARKS]

A garrison of 900 men had provisions for 42 days. However, reinforcement of 500 men arrived. For how many days will the food last now?

Out of the following algebraic expressions, identify the binomial.

In the given figure, if ∠CAD=150∘ and ∠ABC=60∘, then reflex ∠ACB=___ .

Please explain me the concept of congruent triangle & criterias on congruency.

The present age of Vinay’s mother is three times the present age of Vinay. After 5 years, sum of their ages will be 70 years. Find their present ages.

What is the sentence type? Live frugally on surprise!

The formula of which regular shapes can be calculated using the formula base*height

Which of the following are obviously not perfect squares?

The ratio of marks scored by Kamal in physics, chemistry and mathematics is 3 : 3 : 4. If the average of physics, chemistry and mathematics is 80. Find the marks scored by Kamal in each subject. [3 MARKS]

Find the probability of girls playing softball in the total class. [2 MARKS]

Write the quotient and remainder when we divide. (x2+12x+35) by (x+7)

Dhoni won a game off the last ball by scoring 2 4 2 2 4 6 in the last over when 20 runs were required. If the scorecard for the last over was randomly rearranged, what is the probability that he finished the game with a six?

Question 74 In the following question, state whether the statement is True (T) or False (F): Factorised from of p2+30p+216 is (p + 18) (p - 12).

Ramya wanted to arrange 90 Barfis (with 1×1 dimension) in the box. She has 5 boxes of dimension 10×9, 9×10, 5×18, 16×5 and 18×5. Among these boxes in which box she can not arrange all Barfi?

Question 68 A contractor undertook a contract to complete a part of a stadium in 9 months with a team of 560 persons. Later on, it was required to complete the job in 5 months. How many extra persons should he employ to complete the work?

Verify whether the given statement is true or false : (i) (59÷13)÷52=59÷(13÷52) (ii) {(−16)÷65}÷−910=(−16)÷{65÷−910} (iii) (−35÷−1235)÷114=−35÷(−1235÷114)

A point has ___ dimension(s).

What is the amount of interest on Rs 20000 for one year?

In Fig. ∠E >∠A and ∠C >∠D. Prove that AD >EC. [2 MARKS]