25365 + Interview Questions in Mathematics

1.	Question 2(iii) Factorise the following expressions 7a2+14a
Answer» Question 2(iii) Factorise the following expressions $7 a^{2} + 14 a$

Discussion

2.	In the given figure, x∘ = ___
Answer» In the given figure, $x^{\circ}$ = ___

2.

In the given figure, x∘ = ___

Answer»

In the given figure, $x^{\circ}$ = ___

Discussion

3.	The area of a rhombus is equal to the area of a triangle. If base of A is 24 cm, its corresponding altitude is 16 cm and one of the diagonals of the rhombus is 19.2 cm. Find its other diagonal.
Answer» The area of a rhombus is equal to the area of a triangle. If base of A is 24 cm, its corresponding altitude is 16 cm and one of the diagonals of the rhombus is 19.2 cm. Find its other diagonal.

Discussion

4.	In the given fractions, which of the following have the same value of 12?
Answer» In the given fractions, which of the following have the same value of $\frac{1}{2}$ ?

Discussion

5.	Tanay deposits Rs 2000 per month in a recurring account for 5 years at the rate of 12 p.a. Find the amount Tanay will get after 5 years.
Answer» Tanay deposits Rs 2000 per month in a recurring account for 5 years at the rate of 12 p.a. Find the amount Tanay will get after 5 years.

Discussion

6.	The sum of two consecutive even numbers is 90. The linear equation representing this condition is
Answer» The sum of two consecutive even numbers is 90. The linear equation representing this condition is

Discussion

7.	5178×21011+833=?
Answer» $5 \frac{17}{8} \times 2 \frac{10}{11} + \frac{8}{33} = ?$

Discussion

8.	Question 28 Fill in the blanks to make each statement true: If 25x−2=5−35x, then x= .................
Answer» Question 28 Fill in the blanks to make each statement true: If $\frac{2}{5} x - 2 = 5 - \frac{3}{5} x,$ then x= .................

8.

Question 28 Fill in the blanks to make each statement true: If 25x−2=5−35x, then x= .................

Answer»

Question 28

Fill in the blanks to make each statement true:

If $\frac{2}{5} x - 2 = 5 - \frac{3}{5} x,$ then x= .................

Discussion

9.	Question 1 (i) What will be the unit digit of the squares of the following number: 81
Answer» Question 1 (i) What will be the unit digit of the squares of the following number: 81

9.

Question 1 (i) What will be the unit digit of the squares of the following number: 81

Answer»

Question 1 (i)
What will be the unit digit of the squares of the following number:

81

Discussion

10.	The difference between the compound interest and simple interest on a certain sum of money at 20/3% per annum for three years is ₹46. Find the sum.
Answer» The difference between the compound interest and simple interest on a certain sum of money at 20/3% per annum for three years is ₹46. Find the sum.

Discussion

11.	Find the square root of 5893.27 correct to 2 decimal places
Answer» Find the square root of 5893.27 correct to 2 decimal places

Discussion

12.	In the following figure, if PQR ≅ ABC, then
Answer» In the following figure, if PQR ≅ ABC, then

Discussion

13.	The quadrilateral that can be constructed with the minimum number of given measurements is
Answer» The quadrilateral that can be constructed with the minimum number of given measurements is

Discussion

14.	On simplification of m − (n − ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯n −m), we get,
Answer» On simplification of $m - (n - ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ n - m)$ , we get,

Discussion

15.	Factorise : 6a2−3a2b−bc2+2c2
Answer» Factorise : $6 a^{2} - 3 a^{2} b - b c^{2} + 2 c^{2}$

Discussion

16.	A pyramid is a solid figure,whose base is (a) only a triangle (b) only a square (c) only a rectangle (d) any polygon
Answer» A pyramid is a solid figure,whose base is (a) only a triangle (b) only a square (c) only a rectangle (d) any polygon

16.

A pyramid is a solid figure,whose base is (a) only a triangle (b) only a square (c) only a rectangle (d) any polygon

Answer»

A pyramid is a solid figure,whose base is

(a) only a triangle

(b) only a square

(c) only a rectangle

(d) any polygon

Discussion

17.	A man purchased two TV sets for 42500 . he sold one of them at loss of 10% and other at profit of 10% .find cost price if selling price of both is same.
Answer» A man purchased two TV sets for 42500 . he sold one of them at loss of 10% and other at profit of 10% .find cost price if selling price of both is same.

Discussion

18.	Two adjacent angles of a parallelogram are(5x+65)^0 and (85-2x)^0. Find the measure of each angle of a parallelogram
Answer» Two adjacent angles of a parallelogram are(5x+65)^0 and (85-2x)^0. Find the measure of each angle of a parallelogram

Discussion

19.	Factorise the given algebraic expression: xy−pq+qy−px
Answer» Factorise the given algebraic expression: $x y - p q + q y - p x$

Discussion

20.	Considering conventional coordinate system of axis, the position (3, 4) {(X, Y), an ordered pair to uniquely define position of any particle in a XY-2 dimensional plane} of any particle suggests that particle lies in
Answer» Considering conventional coordinate system of axis, the position (3, 4) {(X, Y), an ordered pair to uniquely define position of any particle in a XY-2 dimensional plane} of any particle suggests that particle lies in

Discussion

21.	Question 9 A company manufactures car batteries of a particular type. The lives (in years) of 40 such batteries were recorded as follows: 2.63.03.73.22.24.13.54.53.52.33.23.43.83.24.63.72.54.43.43.32.93.04.32.83.53.23.93.23.23.13.73.44.63.83.22.63.54.22.93.6 Construct a grouped frequency distribution table for this data, using class intervals of size 0.5 starting from the intervals 2−2.5.
Answer» Question 9 A company manufactures car batteries of a particular type. The lives (in years) of 40 such batteries were recorded as follows: $\begin{matrix} 2.6 & 3.0 & 3.7 & 3.2 & 2.2 & 4.1 & 3.5 & 4.5 3.5 & 2.3 & 3.2 & 3.4 & 3.8 & 3.2 & 4.6 & 3.7 2.5 & 4.4 & 3.4 & 3.3 & 2.9 & 3.0 & 4.3 & 2.8 3.5 & 3.2 & 3.9 & 3.2 & 3.2 & 3.1 & 3.7 & 3.4 4.6 & 3.8 & 3.2 & 2.6 & 3.5 & 4.2 & 2.9 & 3.6 \end{matrix}$ Construct a grouped frequency distribution table for this data, using class intervals of size 0.5 starting from the intervals 2−2.5.

Discussion

22.	What will be the coordinates of the centre of the square on coordinate axes if the vertices of the square are mirror images of each other in x and y axes?
Answer» What will be the coordinates of the centre of the square on coordinate axes if the vertices of the square are mirror images of each other in x and y axes?

Discussion

23.	If 21y5 is a multiple of 9, where y is a digit, what is the value of y? [4 marks]
Answer» If 21y5 is a multiple of 9, where y is a digit, what is the value of y? [4 marks]

Discussion

24.	Question 112 (ii) Use the following figure, showing the layout of a farmhouse. It costs Rs.91 per m2 to fertilise the vegetable garden. What is the total cost?
Answer» Question 112 (ii) Use the following figure, showing the layout of a farmhouse. It costs Rs.91 per $m^{2}$ to fertilise the vegetable garden. What is the total cost?

24.

Question 112 (ii) Use the following figure, showing the layout of a farmhouse. It costs Rs.91 per m2 to fertilise the vegetable garden. What is the total cost?

Answer»

Question 112 (ii)

Use the following figure, showing the layout of a farmhouse.

It costs Rs.91 per $m^{2}$ to fertilise the vegetable garden. What is the total cost?

Discussion

25.	Area of following figure is:
Answer» Area of following figure is:

25.

Area of following figure is:

Answer»

Area of following figure is:

Discussion

26.	Question 3 36 unit squares are joined to form a rectangle with the least perimeter. Perimeter of the rectangle is (a) 12 units (b) 26 units (c) 24 units (d) 36 units
Answer» Question 3 36 unit squares are joined to form a rectangle with the least perimeter. Perimeter of the rectangle is (a) 12 units (b) 26 units (c) 24 units (d) 36 units

Discussion

27.	Find the cube root of 294×252 by prime factorisation. [3 MARKS]
Answer» Find the cube root of $294 \times 252$ by prime factorisation. [3 MARKS]

Discussion

28.	An item marked at Rs. 840 is sold for Rs. 714. What is the discount and discount %?
Answer» An item marked at Rs. 840 is sold for Rs. 714. What is the discount and discount %?

Discussion

29.	If 24, x, 26 form a pythagorean triplet, then find x?
Answer» If 24, x, 26 form a pythagorean triplet, then find x?

Discussion

30.	Show that 137 + 713 + 371 is divisible by 111 without directly adding. [4 MARKS]
Answer» Show that 137 + 713 + 371 is divisible by 111 without directly adding. [4 MARKS]

Discussion

31.	What is the value of 50222×54?
Answer» What is the value of $\frac{50^{2}}{2^{2} \times 5^{4}}$ ?

Discussion

32.	Read the following information and answer the questions given below it: A+B means A is daughter of B; A X B means A is the son of B and A – B means A is the wife of B. Q80. If Z X T – S X U + P, what is U to Z. निम्नलिखित जानकारीयों को पढ़ें और नीचे दिए गए प्रश्नों के उत्तर दें: A + B का अर्थ है A, B की बेटी है; A × B का अर्थ A, B का पुत्र है और A – B का अर्थ है A, B की पत्नी है। Q80. यदि Z × T – S × U + P, U से Z क्या है?
Answer» Read the following information and answer the questions given below it: A+B means A is daughter of B; A X B means A is the son of B and A – B means A is the wife of B. Q80. If Z X T – S X U + P, what is U to Z. निम्नलिखित जानकारीयों को पढ़ें और नीचे दिए गए प्रश्नों के उत्तर दें: A + B का अर्थ है A, B की बेटी है; A × B का अर्थ A, B का पुत्र है और A – B का अर्थ है A, B की पत्नी है। Q80. यदि Z × T – S × U + P, U से Z क्या है?

32.

Read the following information and answer the questions given below it: A+B means A is daughter of B; A X B means A is the son of B and A – B means A is the wife of B. Q80. If Z X T – S X U + P, what is U to Z. निम्नलिखित जानकारीयों को पढ़ें और नीचे दिए गए प्रश्नों के उत्तर दें: A + B का अर्थ है A, B की बेटी है; A × B का अर्थ A, B का पुत्र है और A – B का अर्थ है A, B की पत्नी है। Q80. यदि Z × T – S × U + P, U से Z क्या है?

Answer»

Read the following information and answer the questions given below it:

A+B means A is daughter of B;

A X B means A is the son of B and

A – B means A is the wife of B.

Q80. If Z X T – S X U + P, what is U to Z.

निम्नलिखित जानकारीयों को पढ़ें और नीचे दिए गए प्रश्नों के उत्तर दें:

A + B का अर्थ है A, B की बेटी है;

A × B का अर्थ A, B का पुत्र है और

A – B का अर्थ है A, B की पत्नी है।

Q80. यदि Z × T – S × U + P, U से Z क्या है?

Discussion

33.	Question 1(vi) Find the cube root of each of the following numbers by prime factorization method: 13824
Answer» Question 1(vi) Find the cube root of each of the following numbers by prime factorization method: 13824

Discussion

34.	By selling a certain number of goods for Rs.5,500; a shopkeeper loses equal to one-tenth of their selling price. Find : (i) the loss incured (ii) the cost price of the goods (iii) the loss as percent.
Answer» By selling a certain number of goods for Rs.5,500; a shopkeeper loses equal to one-tenth of their selling price. Find : (i) the loss incured (ii) the cost price of the goods (iii) the loss as percent.

Discussion

35.	A can do a piece of work in 20 days and B in 15 days. They worked together on it for 6 days and then A left. How long will B take to finish the remaiing work?
Answer» A can do a piece of work in 20 days and B in 15 days. They worked together on it for 6 days and then A left. How long will B take to finish the remaiing work?

Discussion

36.	Find 'a' and 'b' 152+a2=b2
Answer» Find 'a' and 'b' $15^{2} + a^{2} = b^{2}$

36.

Find 'a' and 'b' 152+a2=b2

Answer»

Find 'a' and 'b'

$15^{2} + a^{2} = b^{2}$

Discussion

37.	What is the cube root of 36×48?
Answer» What is the cube root of $36 \times 48$ ?

Discussion

38.	10 men can reap a field in 20 days. 10 men reaped the field for 10 days and after 10 days 10 more men join them. When will the work be finished?
Answer» 10 men can reap a field in 20 days. 10 men reaped the field for 10 days and after 10 days 10 more men join them. When will the work be finished?

Discussion

39.	What is ratio?
Answer» What is ratio?

Discussion

40.	Find the number of cuboidal boxes measuring 2 cm by 3 cm by 10 cm which can be stored in a carton whose dimensions are 40 cm, 36 cm an 3 cm by 10 d 24 cm.
Answer» Find the number of cuboidal boxes measuring 2 cm by 3 cm by 10 cm which can be stored in a carton whose dimensions are 40 cm, 36 cm an 3 cm by 10 d 24 cm.

Discussion

41.	A rectangular field is 70 m long and 60 in broad. A well of dimensions 14m×8m×6m is dug outside the field and the earth dug-out from this well is spread evenly on the field. How much will the earth level rise?
Answer» A rectangular field is 70 m long and 60 in broad. A well of dimensions $14 m \times 8 m \times 6 m$ is dug outside the field and the earth dug-out from this well is spread evenly on the field. How much will the earth level rise?

Discussion

42.	Rohit bought 2 registers for Rs.156, find the cost of 7 such registers.
Answer» Rohit bought $2$ registers for Rs. $156$ , find the cost of $7$ such registers.

Discussion

43.	Question 92 (xiv) Factorise the following using the identity a2−b2=(a+b)(a−b). 4x29−9y216
Answer» Question 92 (xiv) Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$ $\frac{4 x^{2}}{9} - \frac{9 y^{2}}{16}$

43.

Question 92 (xiv) Factorise the following using the identity a2−b2=(a+b)(a−b). 4x29−9y216

Answer»

Question 92 (xiv)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$\frac{4 x^{2}}{9} - \frac{9 y^{2}}{16}$

Discussion

44.	Why we use 13 in method of cone.
Answer» Why we use $\frac{1}{3}$ in method of cone.

Discussion

45.	0.000367×104 in usual form is (a)3.67 (b)36.7 (c)0.367 (d)0.0367
Answer» $0.000367 \times 10^{4}$ in usual form is (a)3.67 (b)36.7 (c)0.367 (d)0.0367

45.

0.000367×104 in usual form is (a)3.67 (b)36.7 (c)0.367 (d)0.0367

Answer»

$0.000367 \times 10^{4}$ in usual form is

(a)3.67

(b)36.7

(c)0.367

(d)0.0367

Discussion

46.	The formula to find total surface area of a cuboid is__________.
Answer» The formula to find total surface area of a cuboid is__________.

Discussion

47.	A set of numbers denoted by letter Z which include both positive and negative numbers and do not have a fractional component is known as ___.
Answer» A set of numbers denoted by letter $Z$ which include both positive and negative numbers and do not have a fractional component is known as ___.

Discussion

48.	Factorised : x2+10x+20
Answer» Factorised : $x^{2} + 10 x + 20$

Discussion

49.	If identity 4 proofs that (a+b)(a+c)=(a*a)+[(b+c)a]+BC then what will be (a+b)(a-b) equal to ?
Answer» If identity 4 proofs that (a+b)(a+c)=(a*a)+[(b+c)a]+BC then what will be (a+b)(a-b) equal to ?

Discussion

50.	Maria borrowed Rs.12500 at 12% per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at 10% per annum compounded annually .Who pays more interest by how much ?
Answer» Maria borrowed $R s .12500$ at $12 %$ per annum for $3$ years at simple interest and Radha borrows the same amount for the same time period at $10 %$ per annum compounded annually .Who pays more interest by how much ?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Question 2(iii) Factorise the following expressions 7a2+14a

In the given figure, x∘ = ___

The area of a rhombus is equal to the area of a triangle. If base of A is 24 cm, its corresponding altitude is 16 cm and one of the diagonals of the rhombus is 19.2 cm. Find its other diagonal.

In the given fractions, which of the following have the same value of 12?

Tanay deposits Rs 2000 per month in a recurring account for 5 years at the rate of 12 p.a. Find the amount Tanay will get after 5 years.

The sum of two consecutive even numbers is 90. The linear equation representing this condition is

5178×21011+833=?

Question 28 Fill in the blanks to make each statement true: If 25x−2=5−35x, then x= .................

Question 1 (i) What will be the unit digit of the squares of the following number: 81

The difference between the compound interest and simple interest on a certain sum of money at 20/3% per annum for three years is ₹46. Find the sum.

Find the square root of 5893.27 correct to 2 decimal places

In the following figure, if PQR ≅ ABC, then

The quadrilateral that can be constructed with the minimum number of given measurements is

On simplification of m − (n − ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯n −m), we get,

Factorise : 6a2−3a2b−bc2+2c2

A pyramid is a solid figure,whose base is (a) only a triangle (b) only a square (c) only a rectangle (d) any polygon

A man purchased two TV sets for 42500 . he sold one of them at loss of 10% and other at profit of 10% .find cost price if selling price of both is same.

Two adjacent angles of a parallelogram are(5x+65)^0 and (85-2x)^0. Find the measure of each angle of a parallelogram

Factorise the given algebraic expression: xy−pq+qy−px

Considering conventional coordinate system of axis, the position (3, 4) {(X, Y), an ordered pair to uniquely define position of any particle in a XY-2 dimensional plane} of any particle suggests that particle lies in

What will be the coordinates of the centre of the square on coordinate axes if the vertices of the square are mirror images of each other in x and y axes?

If 21y5 is a multiple of 9, where y is a digit, what is the value of y? [4 marks]

Question 112 (ii) Use the following figure, showing the layout of a farmhouse. It costs Rs.91 per m2 to fertilise the vegetable garden. What is the total cost?

Area of following figure is:

Question 3 36 unit squares are joined to form a rectangle with the least perimeter. Perimeter of the rectangle is (a) 12 units (b) 26 units (c) 24 units (d) 36 units

Find the cube root of 294×252 by prime factorisation. [3 MARKS]

An item marked at Rs. 840 is sold for Rs. 714. What is the discount and discount %?

If 24, x, 26 form a pythagorean triplet, then find x?

Show that 137 + 713 + 371 is divisible by 111 without directly adding. [4 MARKS]

What is the value of 50222×54?

Question 1(vi) Find the cube root of each of the following numbers by prime factorization method: 13824

By selling a certain number of goods for Rs.5,500; a shopkeeper loses equal to one-tenth of their selling price. Find : (i) the loss incured (ii) the cost price of the goods (iii) the loss as percent.

A can do a piece of work in 20 days and B in 15 days. They worked together on it for 6 days and then A left. How long will B take to finish the remaiing work?

Find 'a' and 'b' 152+a2=b2

What is the cube root of 36×48?

10 men can reap a field in 20 days. 10 men reaped the field for 10 days and after 10 days 10 more men join them. When will the work be finished?

What is ratio?

Find the number of cuboidal boxes measuring 2 cm by 3 cm by 10 cm which can be stored in a carton whose dimensions are 40 cm, 36 cm an 3 cm by 10 d 24 cm.

A rectangular field is 70 m long and 60 in broad. A well of dimensions 14m×8m×6m is dug outside the field and the earth dug-out from this well is spread evenly on the field. How much will the earth level rise?

Rohit bought 2 registers for Rs.156, find the cost of 7 such registers.

Question 92 (xiv) Factorise the following using the identity a2−b2=(a+b)(a−b). 4x29−9y216

Why we use 13 in method of cone.

0.000367×104 in usual form is (a)3.67 (b)36.7 (c)0.367 (d)0.0367

The formula to find total surface area of a cuboid is__________.

A set of numbers denoted by letter Z which include both positive and negative numbers and do not have a fractional component is known as ___.

Factorised : x2+10x+20

If identity 4 proofs that (a+b)(a+c)=(a*a)+[(b+c)a]+BC then what will be (a+b)(a-b) equal to ? ​

Maria borrowed Rs.12500 at 12% per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at 10% per annum compounded annually .Who pays more interest by how much ?

If identity 4 proofs that (a+b)(a+c)=(a*a)+[(b+c)a]+BC then what will be (a+b)(a-b) equal to ?