25365 + Interview Questions in Mathematics

1.	If AB is divisible by 5 but not divisible by 2 and BA is divisible 3. Then which of the following is possible value of A and B?
Answer» If AB is divisible by 5 but not divisible by 2 and BA is divisible 3. Then which of the following is possible value of A and B?

Discussion

2.	In a sale, the price of an article is reduced by 30%. If the original price of the article is Rs. 1800. Find the reduced price of the article
Answer» In a sale, the price of an article is reduced by 30%. If the original price of the article is Rs. 1800. Find the reduced price of the article

Discussion

3.	Can you construct a unique triangle with any 3 possible measurements of angles?
Answer» Can you construct a unique triangle with any 3 possible measurements of angles?

Discussion

4.	Question 35 In the following question, fill in the blanks to make the statements true. a3×a−10 = ___
Answer» Question 35 In the following question, fill in the blanks to make the statements true. $a^{3} \times a^{- 10}$ = ___

4.

Question 35 In the following question, fill in the blanks to make the statements true. a3×a−10 = ___

Answer»

Question 35

In the following question, fill in the blanks to make the statements true.

$a^{3} \times a^{- 10}$ = ___

Discussion

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

Discussion

6.	Solve: 8y+4=3(y−1)+7
Answer» Solve: $8 y + 4 = 3 (y - 1) + 7$

Discussion

7.	Pooja has enough money to buy 36 oranges at their rate of rupees 4.50 per orange . How many oranges she can buy if the price of each orange is increased by 90 paise.
Answer» Pooja has enough money to buy 36 oranges at their rate of rupees 4.50 per orange . How many oranges she can buy if the price of each orange is increased by 90 paise.

Discussion

8.	Complete the following mathematical statement 5y + 2y + y - 7y = ___
Answer» Complete the following mathematical statement 5y + 2y + y - 7y = ___

Discussion

9.	The numbers ___ and ___ are their own reciprocals.
Answer» The numbers ___ and ___ are their own reciprocals.

Discussion

10.	3+√5/2√5+3=a+b√5
Answer» 3+√5/2√5+3=a+b√5

Discussion

11.	Sajjanrao takes a loan of ₹ 10,000 from a bank at the rate of 10 % per annum for a year. How much money including the interest will he have to pay after a year?11000
Answer» Sajjanrao takes a loan of ₹ 10,000 from a bank at the rate of 10 % per annum for a year. How much money including the interest will he have to pay after a year? 11000

Discussion

12.	Ram has ₹27 in the form of fifty paise and twenty five paise coins. He has twice as many twenty five paise coins as he has fifty paise coins. What is the total number of coins of each kinds?
Answer» Ram has ₹27 in the form of fifty paise and twenty five paise coins. He has twice as many twenty five paise coins as he has fifty paise coins. What is the total number of coins of each kinds?

Discussion

13.	Which among the following is not a factor of 4y(y+3)?
Answer» Which among the following is not a factor of $4 y (y + 3)$ ?

Discussion

14.	The ratio of angles A, B, C and D of the quadrilateral ABCD are 3:7:6:4 when it is taken in order. Find the shape of the quadrilateral.
Answer» The ratio of angles A, B, C and D of the quadrilateral ABCD are 3:7:6:4 when it is taken in order. Find the shape of the quadrilateral.

14.

The ratio of angles A, B, C and D of the quadrilateral ABCD are 3:7:6:4 when it is taken in order. Find the shape of the quadrilateral.

Answer»

The ratio of angles A, B, C and D of the quadrilateral ABCD are 3:7:6:4 when it is taken in order. Find the shape of the quadrilateral.

Discussion

15.	Question 1 (ii) Find the value of unknown x in the following diagrams.
Answer» Question 1 (ii) Find the value of unknown x in the following diagrams.

Discussion

16.	Factorise 9x^2y-24xy^2+16y^3
Answer» Factorise 9x^2y-24xy^2+16y^3

Discussion

17.	Question 2 (ii) Find the number of digits in the square root of each of the following numbers (without any calculation): 144
Answer» Question 2 (ii) Find the number of digits in the square root of each of the following numbers (without any calculation): 144

17.

Question 2 (ii) Find the number of digits in the square root of each of the following numbers (without any calculation): 144

Answer»

Question 2 (ii)
Find the number of digits in the square root of each of the following numbers (without any calculation):

144

Discussion

18.	x and y are inversely related. If x=5 and their constant of proportionality is 6, then find the value of y.
Answer» $x$ and $y$ are inversely related. If $x = 5$ and their constant of proportionality is 6, then find the value of $y$ .

Discussion

19.	A total of Rs.10000 is distributed among 120 persons as gift. A gift is either of Rs.50 or Rs.100. Find the number of gifts of each type. [4 MARKS]
Answer» A total of Rs.10000 is distributed among 120 persons as gift. A gift is either of Rs.50 or Rs.100. Find the number of gifts of each type. [4 MARKS]

Discussion

20.	A circle of radius 3 cm, with centre O is drawn circumscribing a ΔABC. What is the sum of OA + OB + OC ?
Answer» A circle of radius 3 cm, with centre O is drawn circumscribing a $Δ$ ABC. What is the sum of OA + OB + OC ?

Discussion

21.	The ratio obtained when the largest 4-digit perfect square number divided by the smallest 4-digit perfect square number will be
Answer» The ratio obtained when the largest 4-digit perfect square number divided by the smallest 4-digit perfect square number will be

Discussion

22.	Question 2(ii) Simplify and express each of the following in exponential form: [(52)3×54]÷57
Answer» Question 2(ii) Simplify and express each of the following in exponential form: $[(5^{2})^{3} \times 5^{4}] \div 5^{7}$

Discussion

23.	Out of the couples surveyed by ABC, in how many regions is the number of couples having at least one child lesser than the number of couples having at least one child in P?
Answer» Out of the couples surveyed by ABC, in how many regions is the number of couples having at least one child lesser than the number of couples having at least one child in P?

Discussion

24.	Question 14 (ii) In the adjoining figure, name the following pairs of angles: Adjacent complementary angles.
Answer» Question 14 (ii) In the adjoining figure, name the following pairs of angles: Adjacent complementary angles.

Discussion

25.	A class has 48 girls. If the girls make up 40% of the total strength, the number of boys must be ______
Answer» A class has 48 girls. If the girls make up 40% of the total strength, the number of boys must be ______

Discussion

26.	The sum of the digits of a two-digit number is 11. If we interchange the digits then the new number formed is 45 less than the original. The digit at the unit's place of the original number is _______ .
Answer» The sum of the digits of a two-digit number is 11. If we interchange the digits then the new number formed is 45 less than the original. The digit at the unit's place of the original number is _______ .

Discussion

27.	Question 2 Give any two real time examples for congruent shapes.
Answer» Question 2 Give any two real time examples for congruent shapes.

Discussion

28.	The compound interest on Rs. 2000 for 9 months at 8% per annum being given when the interest is reckoned quarterly is
Answer» The compound interest on Rs. 2000 for 9 months at 8% per annum being given when the interest is reckoned quarterly is

Discussion

29.	Factorise : (i) a2−(b−c)2(ii) 25(2x−y)2−16(x−2y)2(iii) 16(5x+4)2−9(3x−2)2(iv) 9x2−116(v) 25(x−2y)2−4
Answer» Factorise : $(i) a^{2} - (b - c)^{2} (i i) 25 (2 x - y)^{2} - 16 (x - 2 y)^{2} (i i i) 16 (5 x + 4)^{2} - 9 (3 x - 2)^{2} (i v) 9 x^{2} - \frac{1}{16} (v) 25 (x - 2 y)^{2} - 4$

29.

Factorise : (i) a2−(b−c)2(ii) 25(2x−y)2−16(x−2y)2(iii) 16(5x+4)2−9(3x−2)2(iv) 9x2−116(v) 25(x−2y)2−4

Answer»

Factorise :

$(i) a^{2} - (b - c)^{2} (i i) 25 (2 x - y)^{2} - 16 (x - 2 y)^{2} (i i i) 16 (5 x + 4)^{2} - 9 (3 x - 2)^{2} (i v) 9 x^{2} - \frac{1}{16} (v) 25 (x - 2 y)^{2} - 4$

Discussion

30.	Simplify: a−[a−¯¯¯¯¯¯¯¯¯¯¯¯b+a−{a−(a−¯¯¯¯¯¯¯¯¯¯¯¯b−a)}]
Answer» Simplify: $a - [a - ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ b + a - {a - (a - ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ b - a)}]$

30.

Simplify: a−[a−¯¯¯¯¯¯¯¯¯¯¯¯b+a−{a−(a−¯¯¯¯¯¯¯¯¯¯¯¯b−a)}]

Answer»

Simplify:

$a - [a - ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ b + a - {a - (a - ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ b - a)}]$

Discussion

31.	Simplify 36 - 2(20 + 12 ÷ 4 x 3 - 2 x 2) + 10
Answer» Simplify 36 - 2(20 + 12 $\div$ 4 x 3 - 2 x 2) + 10

31.

Simplify 36 - 2(20 + 12 ÷ 4 x 3 - 2 x 2) + 10

Answer»

Simplify

36 - 2(20 + 12 $\div$ 4 x 3 - 2 x 2) + 10

Discussion

32.	If 3√2744=2p+2, find the value of p?6
Answer» If $\sqrt[3]{2744} = 2 p + 2$ , find the value of p? 6

Discussion

33.	When do we say that an algebraic fraction is in its lowest form?
Answer» When do we say that an algebraic fraction is in its lowest form?

Discussion

34.	Question 2(viii) Factorise the following expressions −4a2+4ab−4ca
Answer» Question 2(viii) Factorise the following expressions $- 4 a^{2} + 4 a b - 4 c a$

Discussion

35.	To construct rhombus ABCD given CD =5 cm and diagonal BD =8.5 cm, which of the properties of rhombus do we use?
Answer» To construct rhombus ABCD given CD =5 cm and diagonal BD =8.5 cm, which of the properties of rhombus do we use?

Discussion

36.	One day while painting on a paper, Ria discovered that the paper by folding across a line overlapped exactly with the other part. This line could be termed as
Answer» One day while painting on a paper, Ria discovered that the paper by folding across a line overlapped exactly with the other part. This line could be termed as

Discussion

37.	Two numbers are in the ratio 8 : 3. If they differ by 15, find the two numbers. [2 MARKS]
Answer» Two numbers are in the ratio 8 : 3. If they differ by 15, find the two numbers. [2 MARKS]

Discussion

38.	Find the greatest number of 4-digits which is a perfect square.
Answer» Find the greatest number of 4-digits which is a perfect square.

Discussion

39.	Question 121 State whether the statements are True or False. Every rhombus is a trapezium.
Answer» Question 121 State whether the statements are True or False. Every rhombus is a trapezium.

Discussion

40.	(a) Draw the graph of the function A = x2 (b) From the graph, find the value of A, when (i) x = 2 (ii) x = 3 (iii) x = 4
Answer» (a) Draw the graph of the function A = $x^{2}$ (b) From the graph, find the value of A, when (i) x = 2 (ii) x = 3 (iii) x = 4

40.

(a) Draw the graph of the function A = x2 (b) From the graph, find the value of A, when (i) x = 2 (ii) x = 3 (iii) x = 4

Answer»

(a) Draw the graph of the function A = $x^{2}$

(b) From the graph, find the value of A, when

(i) x = 2

(ii) x = 3

(iii) x = 4

Discussion

41.	Find the volume of a cylinder, the diameter of whose base is 7cm and height being 60cm. Also, find the capacity of the cylinderin litres.
Answer» Find the volume of a cylinder, the diameter of whose base is 7cm and height being 60cm. Also, find the capacity of the cylinderin litres.

Discussion

42.	In the figure, find the measure of ∠MPN.
Answer» In the figure, find the measure of $∠ M P N$ .

42.

In the figure, find the measure of ∠MPN.

Answer»

In the figure, find the measure of $∠ M P N$ .

Discussion

43.	Simplify the following algebraic expression: (9pq+6r)2−108pqr
Answer» Simplify the following algebraic expression: $(9 p q + 6 r)^{2} - 108 p q r$

Discussion

44.	Question 26 Size of the class 150 - 175 is: (a) 150 (b) 175 (c) 25 (d) –25
Answer» Question 26 Size of the class 150 - 175 is: (a) 150 (b) 175 (c) 25 (d) –25

44.

Question 26 Size of the class 150 - 175 is: (a) 150 (b) 175 (c) 25 (d) –25

Answer»

Question 26

Size of the class 150 - 175 is:

(a) 150

(b) 175

(c) 25

(d) –25

Discussion

45.	Question 81 The following pictorial representation of data is a histogram.
Answer» Question 81 The following pictorial representation of data is a histogram.

45.

Question 81 The following pictorial representation of data is a histogram.

Answer»

Question 81

The following pictorial representation of data is a histogram.

Discussion

46.	After 20% of hike the cost of vase is Rs.2000 .What was the original price?
Answer» After $20 %$ of hike the cost of vase is Rs.2000 .What was the original price?

Discussion

47.	Which of the following angles is NOT equal to x (∠ABC)? [PR and QS are parallel lines AD and BC are parallel lines]
Answer» Which of the following angles is NOT equal to x $(∠ A B C)$ ? [PR and QS are parallel lines AD and BC are parallel lines]

47.

Which of the following angles is NOT equal to x (∠ABC)? [PR and QS are parallel lines AD and BC are parallel lines]

Answer»

Which of the following angles is NOT equal to x $(∠ A B C)$ ?
[PR and QS are parallel lines
AD and BC are parallel lines]

Discussion

48.	8(3x−2y)2−6x+4y−1
Answer» $8 (3 x - 2 y)^{2} - 6 x + 4 y - 1$

Discussion

49.	Find the cube root of −21971331 [3 MARKS]
Answer» Find the cube root of $\frac{- 2197}{1331}$ [3 MARKS]

Discussion

50.	The expression obtained by multiplying (7x−4x2+2x3−5) with (3x−2) is:
Answer» The expression obtained by multiplying $(7 x - 4 x^{2} + 2 x^{3} - 5)$ with $(3 x - 2)$ is:

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If AB is divisible by 5 but not divisible by 2 and BA is divisible 3. Then which of the following is possible value of A and B?

In a sale, the price of an article is reduced by 30%. If the original price of the article is Rs. 1800. Find the reduced price of the article

Can you construct a unique triangle with any 3 possible measurements of angles?

Question 35 In the following question, fill in the blanks to make the statements true. a3×a−10 = ___

Which of the following are definitely regular polygons?

Solve: 8y+4=3(y−1)+7

Pooja has enough money to buy 36 oranges at their rate of rupees 4.50 per orange . How many oranges she can buy if the price of each orange is increased by 90 paise.

Complete the following mathematical statement 5y + 2y + y - 7y = ___

The numbers ___ and ___ are their own reciprocals.

3+√5/2√5+3=a+b√5

Sajjanrao takes a loan of ₹ 10,000 from a bank at the rate of 10 % per annum for a year. How much money including the interest will he have to pay after a year?11000

Ram has ₹27 in the form of fifty paise and twenty five paise coins. He has twice as many twenty five paise coins as he has fifty paise coins. What is the total number of coins of each kinds?

Which among the following is not a factor of 4y(y+3)?

The ratio of angles A, B, C and D of the quadrilateral ABCD are 3:7:6:4 when it is taken in order. Find the shape of the quadrilateral.

Question 1 (ii) Find the value of unknown x in the following diagrams.

Factorise 9x^2y-24xy^2+16y^3

Question 2 (ii) Find the number of digits in the square root of each of the following numbers (without any calculation): 144

x and y are inversely related. If x=5 and their constant of proportionality is 6, then find the value of y.

A total of Rs.10000 is distributed among 120 persons as gift. A gift is either of Rs.50 or Rs.100. Find the number of gifts of each type. [4 MARKS]

A circle of radius 3 cm, with centre O is drawn circumscribing a ΔABC. What is the sum of OA + OB + OC ?

The ratio obtained when the largest 4-digit perfect square number divided by the smallest 4-digit perfect square number will be

Question 2(ii) Simplify and express each of the following in exponential form: [(52)3×54]÷57

Out of the couples surveyed by ABC, in how many regions is the number of couples having at least one child lesser than the number of couples having at least one child in P?

Question 14 (ii) In the adjoining figure, name the following pairs of angles: Adjacent complementary angles.

A class has 48 girls. If the girls make up 40% of the total strength, the number of boys must be ______

The sum of the digits of a two-digit number is 11. If we interchange the digits then the new number formed is 45 less than the original. The digit at the unit's place of the original number is _______ .

Question 2 Give any two real time examples for congruent shapes.

The compound interest on Rs. 2000 for 9 months at 8% per annum being given when the interest is reckoned quarterly is

Factorise : (i) a2−(b−c)2(ii) 25(2x−y)2−16(x−2y)2(iii) 16(5x+4)2−9(3x−2)2(iv) 9x2−116(v) 25(x−2y)2−4

Simplify: a−[a−¯¯¯¯¯¯¯¯¯¯¯¯b+a−{a−(a−¯¯¯¯¯¯¯¯¯¯¯¯b−a)}]

Simplify 36 - 2(20 + 12 ÷ 4 x 3 - 2 x 2) + 10

If 3√2744=2p+2, find the value of p?6

When do we say that an algebraic fraction is in its lowest form?

Question 2(viii) Factorise the following expressions −4a2+4ab−4ca

To construct rhombus ABCD given CD =5 cm and diagonal BD =8.5 cm, which of the properties of rhombus do we use?

One day while painting on a paper, Ria discovered that the paper by folding across a line overlapped exactly with the other part. This line could be termed as

Two numbers are in the ratio 8 : 3. If they differ by 15, find the two numbers. [2 MARKS]

Find the greatest number of 4-digits which is a perfect square.

Question 121 State whether the statements are True or False. Every rhombus is a trapezium.

(a) Draw the graph of the function A = x2 (b) From the graph, find the value of A, when (i) x = 2 (ii) x = 3 (iii) x = 4

Find the volume of a cylinder, the diameter of whose base is 7cm and height being 60cm. Also, find the capacity of the cylinderin litres.

In the figure, find the measure of ∠MPN.

Simplify the following algebraic expression: (9pq+6r)2−108pqr

Question 26 Size of the class 150 - 175 is: (a) 150 (b) 175 (c) 25 (d) –25

Question 81 The following pictorial representation of data is a histogram.

After 20% of hike the cost of vase is Rs.2000 .What was the original price?

Which of the following angles is NOT equal to x (∠ABC)? [PR and QS are parallel lines AD and BC are parallel lines]

8(3x−2y)2−6x+4y−1

Find the cube root of −21971331 [3 MARKS]

The expression obtained by multiplying (7x−4x2+2x3−5) with (3x−2) is:

The numbers _ and _ are their own reciprocals.