25365 + Interview Questions in Mathematics

1.	A factor of a2−2ab+b2−c2 is ___________.
Answer» A factor of $a^{2} - 2 a b + b^{2} - c^{2}$ is ___________.

Discussion

2.	Diagonals do not bisect each other in
Answer» Diagonals do not bisect each other in

Discussion

3.	Area of a triangle with the same base and height as a parallelogram is ___ the area of the parallelogram.
Answer» Area of a triangle with the same base and height as a parallelogram is ___ the area of the parallelogram.

Discussion

4.	Mona's father is thrice as old as Mona. After 12 years he will be just twice his daughter. Their present ages are
Answer» Mona's father is thrice as old as Mona. After 12 years he will be just twice his daughter. Their present ages are

Discussion

5.	The length of the minute hand of a clock is 14 cm. Find the area in cm2 swept by the minute hand in 5 minutes.
Answer» The length of the minute hand of a clock is 14 cm. Find the area in ${c m}^{2}$ swept by the minute hand in 5 minutes.

Discussion

6.	Find the value of anglex in the following figure.
Answer» Find the value of $a n g l e$ x in the following figure.

Discussion

7.	The solution for the equations c1x+b1y+a1=0 and c2x+b2y+a2=0 is S1 : x=(b1a2–b2a1)(c1b2−c2b1) S2 : y=(a2c1–a1c2)(c2b1−c1b2)
Answer» The solution for the equations $c_{1} x + b_{1} y + a_{1} = 0$ and $c_{2} x + b_{2} y + a_{2} = 0$ is S1 : $x = \frac{(b_{1} a_{2} - b_{2} a_{1})}{(c_{1} b_{2} - c_{2} b_{1})}$ S2 : $y = \frac{(a_{2} c_{1} - a_{1} c_{2})}{(c_{2} b_{1} - c_{1} b_{2})}$

7.

The solution for the equations c1x+b1y+a1=0 and c2x+b2y+a2=0 is S1 : x=(b1a2–b2a1)(c1b2−c2b1) S2 : y=(a2c1–a1c2)(c2b1−c1b2)

Answer»

The solution for the equations $c_{1} x + b_{1} y + a_{1} = 0$ and $c_{2} x + b_{2} y + a_{2} = 0$ is

S1 : $x = \frac{(b_{1} a_{2} - b_{2} a_{1})}{(c_{1} b_{2} - c_{2} b_{1})}$

S2 : $y = \frac{(a_{2} c_{1} - a_{1} c_{2})}{(c_{2} b_{1} - c_{1} b_{2})}$

Discussion

8.	Mention the properties of a rhombus. [4 MARKS]
Answer» Mention the properties of a rhombus. [4 MARKS]

Discussion

9.	The area of the curve x2+y2=2ax is
Answer» The area of the curve $x^{2} + y^{2} = 2 a x$ is

Discussion

10.	Using a suitable identity, we can find out that (2y+5)(2y+5) is equal to
Answer» Using a suitable identity, we can find out that $(2 y + 5) (2 y + 5)$ is equal to

Discussion

11.	A line PQ is drawn and with P as centre, a circle is drawn with radius greater than half of PQ but less than PQ. Again with same radius and Q as centre, draw another circle. If the two circles meet at X and Y, then what can be said about the points X and Y?
Answer» A line PQ is drawn and with P as centre, a circle is drawn with radius greater than half of PQ but less than PQ. Again with same radius and Q as centre, draw another circle. If the two circles meet at X and Y, then what can be said about the points X and Y?

Discussion

12.	How to solve 5(b-2)+(b-3)=2(2b+1)-9 ?
Answer» How to solve 5(b-2)+(b-3)=2(2b+1)-9 ?

Discussion

13.	Find the total surface area of the cylinder whose radius is 7 m and the height of the cylinder is 15 cm.
Answer» Find the total surface area of the cylinder whose radius is $7 m$ and the height of the cylinder is $15 c m .$

Discussion

14.	Question 14 A jacket was sold for Rs 1120 after allowing a discount of 20%. The marked price of the jacket is (a) Rs 1440 (b) Rs 1400 (c) Rs 960 (d) Rs 866.66
Answer» Question 14 A jacket was sold for Rs 1120 after allowing a discount of 20%. The marked price of the jacket is (a) Rs 1440 (b) Rs 1400 (c) Rs 960 (d) Rs 866.66

14.

Question 14 A jacket was sold for Rs 1120 after allowing a discount of 20%. The marked price of the jacket is (a) Rs 1440 (b) Rs 1400 (c) Rs 960 (d) Rs 866.66

Answer»

Question 14

A jacket was sold for Rs 1120 after allowing a discount of 20%. The marked price of the jacket is
(a) Rs 1440
(b) Rs 1400
(c) Rs 960
(d) Rs 866.66

Discussion

15.	A steel box has dimensions of 3 m, 2 m and 0.5 m. It has to be gold plated through electrolysis. If each square metre of gold plating costs ₹ 100, then gold plating the outer surface of the box costs ______.
Answer» A steel box has dimensions of 3 m, 2 m and 0.5 m. It has to be gold plated through electrolysis. If each square metre of gold plating costs ₹ 100, then gold plating the outer surface of the box costs ______.

Discussion

16.	The difference of two numbers is 3 and the difference of their squares is 69. Find the numbers.
Answer» The difference of two numbers is 3 and the difference of their squares is 69. Find the numbers.

Discussion

17.	The representation of l1 parallel to l2 is
Answer» The representation of $l_{1} parallel to l_{2}$ is

Discussion

18.	A point P lies only on the X-axis. Which of the following represents the coordinates of point P?
Answer» A point P lies only on the X-axis. Which of the following represents the coordinates of point P?

Discussion

19.	Find area of the parallelogram of base 20 cm & altitude 5 cm.
Answer» Find area of the parallelogram of base 20 cm & altitude 5 cm.

19.

Find area of the parallelogram of base 20 cm & altitude 5 cm.

Answer»

Find area of the parallelogram of base 20 cm & altitude 5 cm.

Discussion

20.	A quadrilateral ABCD is given below. What all measurements will you require to draw the quadrilateral ABCD? The measurements are given in the following options. Choose the right options.
Answer» A quadrilateral ABCD is given below. What all measurements will you require to draw the quadrilateral ABCD? The measurements are given in the following options. Choose the right options.

20.

A quadrilateral ABCD is given below. What all measurements will you require to draw the quadrilateral ABCD? The measurements are given in the following options. Choose the right options.

Answer»

A quadrilateral ABCD is given below. What all measurements will you require to draw the quadrilateral ABCD? The measurements are given in the following options. Choose the right options.

Discussion

21.	Given that 312 is divisible by 26. It will also be divisible by ________.
Answer» Given that 312 is divisible by 26. It will also be divisible by ________.

Discussion

22.	What is the area of the rhombus ABCD below, if AC=12cm and BE= 16cm.
Answer» What is the area of the rhombus ABCD below, if AC=12cm and BE= 16cm.

22.

What is the area of the rhombus ABCD below, if AC=12cm and BE= 16cm.

Answer»

What is the area of the rhombus ABCD below, if AC=12cm and BE= 16cm.

Discussion

23.	There is a rhombus of side 6 cm and altitude 4 cm. If one of the diagonals is 8 cm long, find the length of the other diagonal
Answer» There is a rhombus of side 6 cm and altitude 4 cm. If one of the diagonals is 8 cm long, find the length of the other diagonal

Discussion

24.	The centroid of a triangle is located 12 units from one of the vertices of a triangle. Find the length of the median of the triangle drawn from that same vertex.18
Answer» The centroid of a triangle is located 12 units from one of the vertices of a triangle. Find the length of the median of the triangle drawn from that same vertex. 18

Discussion

25.	Let A=3y2+9x−3x2,B=6x2−2y2+3x,C=9x2−3xy−y2. Find A + B - C.
Answer» $Let A = 3 y^{2} + 9 x - 3 x^{2}, B = 6 x^{2} - 2 y^{2} + 3 x, C = 9 x^{2} - 3 x y - y^{2} . Find A + B - C.$

Discussion

26.	Question 113 (v) Study the layout given in the figure and answer the questions. If the floor area of each bedroom is 35 m2, then find x.
Answer» Question 113 (v) Study the layout given in the figure and answer the questions. If the floor area of each bedroom is $35 m^{2},$ then find x.

26.

Question 113 (v) Study the layout given in the figure and answer the questions. If the floor area of each bedroom is 35 m2, then find x.

Answer»

Question 113 (v)

Study the layout given in the figure and answer the questions.

If the floor area of each bedroom is $35 m^{2},$ then find x.

Discussion

27.	Every regular polygon has sides and angles of ___measure.
Answer» Every regular polygon has sides and angles of ___measure.

Discussion

28.	Divide i.)−40x4by 10x2y ii.) 16a2b2c2by 8ab [2 MARKS]
Answer» Divide $i .) - 40 x^{4}$ by $10 x^{2} y$ $i i .) 16 a^{2} b^{2} c^{2}$ by $8 a b$ [2 MARKS]

Discussion

29.	In a parallelogram ABCD, determine the sum of angles ∠B,∠C and ∠D if ∠A=60∘ [2 MARKS]
Answer» In a parallelogram ABCD, determine the sum of angles $∠ B, ∠ C$ and $∠ D$ if $∠ A = 60^{\circ}$ [2 MARKS]

Discussion

30.	ABCD is a rectangle such that CD = 30 cm BC = 40 cm F is a point on the interior of the rectangle and the perpendicular from F meets the side AB at its midpoint i.e., E. If EF = 32 cms. Find the area of the region AFBCD [4 MARKS]
Answer» ABCD is a rectangle such that CD = 30 cm BC = 40 cm F is a point on the interior of the rectangle and the perpendicular from F meets the side AB at its midpoint i.e., E. If EF = 32 cms. Find the area of the region AFBCD [4 MARKS]

Discussion

31.	Lengths of the diagonals of a rhombus are 10 units and (7x + 3) units. If its area is 120 cm2, find x.3
Answer» Lengths of the diagonals of a rhombus are 10 units and (7x + 3) units. If its area is $120 c m^{2}$ , find x. 3

Discussion

32.	Find the value of 3√1.331
Answer» Find the value of $\sqrt[3]{1.331}$

Discussion

33.	Simplify (25÷28)5 × 2−5.
Answer» Simplify ${(2^{5} \div 2^{8})}^{5}$ × $2^{- 5} .$

Discussion

34.	3a−[4a−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯3a−5b−3{2a−(3a−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯2a−3b)}] equals
Answer» $3 a - [4 a - ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 3 a - 5 b - 3$ { $2 a - (3 a - ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 2 a - 3 b)$ } $]$ equals

Discussion

35.	Three prizes are to be distributed in a quiz contest. The value of the second prize is five-sixth of the value of the first prize and the value of the third prize is four-fifth of the second prize. If the total value of the three prizes is ₹ 1500, then find the value of each prize (in order of 1st, 2nd and 3rd).
Answer» Three prizes are to be distributed in a quiz contest. The value of the second prize is five-sixth of the value of the first prize and the value of the third prize is four-fifth of the second prize. If the total value of the three prizes is ₹ 1500, then find the value of each prize (in order of 1st, 2nd and 3rd).

Discussion

36.	ABCD is a rhombus in which the altitude from D to side AB bisects AB. Find the angles of the rhombus. [4 MARKS]
Answer» ABCD is a rhombus in which the altitude from D to side AB bisects AB. Find the angles of the rhombus. [4 MARKS]

Discussion

37.	Factorize p8 - 256
Answer» Factorize p⁸ - 256

Discussion

38.	Solve for x by factorization methodx2−2bx−1=−b2
Answer» Solve for x by factorization method $x^{2} - 2 b x - 1 = - b^{2}$

Discussion

39.	Three identical square sheets of paper need to be cut into 4, 5, and 6 stripes of equal size respectively. Find the minimum length of the side of the original square sheet.
Answer» Three identical square sheets of paper need to be cut into 4, 5, and 6 stripes of equal size respectively. Find the minimum length of the side of the original square sheet.

39.

Three identical square sheets of paper need to be cut into 4, 5, and 6 stripes of equal size respectively. Find the minimum length of the side of the original square sheet.

Answer»

Three identical square sheets of paper need to be cut into 4, 5, and 6 stripes of equal size respectively. Find the minimum length of the side of the original square sheet.

Discussion

40.	Simplify (15)−3−(13)−4(14)−3.
Answer» Simplify $\frac{(\frac{1}{5})^{- 3} - (\frac{1}{3})^{- 4}}{(\frac{1}{4})^{- 3}} .$

Discussion

41.	A principal of Rs. 40,000 is compound annually at the rate of 10% for 2 years. What is the compound interest and is it greater than the simple interest for the same rate and the same time?
Answer» A principal of Rs. 40,000 is compound annually at the rate of 10% for 2 years. What is the compound interest and is it greater than the simple interest for the same rate and the same time?

Discussion

42.	A bar graph is used to show ____________.
Answer» A bar graph is used to show ____________.

Discussion

43.	Question 18 In the given question, fill in the blanks to make the statement true. 3134673 is divisible by 3 and ___ .
Answer» Question 18 In the given question, fill in the blanks to make the statement true. 3134673 is divisible by 3 and ___ .

Discussion

44.	Which of the following numbers will have 6 at their unit's place : (i) 262 (ii) 492 (iii) 342 (iv) 432 (v) 2442
Answer» Which of the following numbers will have 6 at their unit's place : (i) $26^{2}$ (ii) $49^{2}$ (iii) $34^{2}$ (iv) $43^{2}$ (v) $244^{2}$

44.

Which of the following numbers will have 6 at their unit's place : (i) 262 (ii) 492 (iii) 342 (iv) 432 (v) 2442

Answer»

Which of the following numbers will have 6 at their unit's place :

(i) $26^{2}$ (ii) $49^{2}$

(iii) $34^{2}$ (iv) $43^{2}$

(v) $244^{2}$

Discussion

45.	Draw a pie - diagram for the following data of expenditure pattern in a family. ItemsFoodClothingRentEducationUnforeseen eventsMedicineExpenditure (in percent)40%20%10%10%15%5%
Answer» Draw a pie - diagram for the following data of expenditure pattern in a family. $\begin{matrix} Items & Food & Clothing & Rent & Education & Unforeseen events & Medicine Expenditure (in percent) & 40 % & 20 % & 10 % & 10 % & 15 % & 5 % \end{matrix}$

Discussion

46.	A path 1.5 m wide is built along the border inside a square garden of side 10 m. Area of the path is ___ m2.
Answer» A path 1.5 m wide is built along the border inside a square garden of side 10 m. Area of the path is ___ $m^{2}$ .

Discussion

47.	Question 10 Both x and y are in direct proportion, then 1x and 1y are (a) In indirect proportion (b) In inverse proportion (c) Neither in direct in inverse proportion (d) Sometimes in direct and sometimes in inverse proportion
Answer» Question 10 Both x and y are in direct proportion, then $\frac{1}{x}$ and $\frac{1}{y}$ are (a) In indirect proportion (b) In inverse proportion (c) Neither in direct in inverse proportion (d) Sometimes in direct and sometimes in inverse proportion

47.

Question 10 Both x and y are in direct proportion, then 1x and 1y are (a) In indirect proportion (b) In inverse proportion (c) Neither in direct in inverse proportion (d) Sometimes in direct and sometimes in inverse proportion

Answer»

Question 10

Both x and y are in direct proportion, then $\frac{1}{x}$ and $\frac{1}{y}$ are
(a) In indirect proportion
(b) In inverse proportion
(c) Neither in direct in inverse proportion
(d) Sometimes in direct and sometimes in inverse proportion

Discussion

48.	Find the digit A B A×B 3 57A
Answer» Find the digit A $\begin{matrix} B A \times B 3 57 A \end{matrix}$

Discussion

49.	One of the two digits of a two digit number is three times the other digit . If you interchange the digits of this two-digit number and add the resulting number to the original number, you get 88. What is the original number?
Answer» One of the two digits of a two digit number is three times the other digit . If you interchange the digits of this two-digit number and add the resulting number to the original number, you get 88. What is the original number?

Discussion

50.	If A:B =2:3 & B:C=4:5, then C:A is equal to__________
Answer» If A:B =2:3 & B:C=4:5, then C:A is equal to__________

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

A factor of a2−2ab+b2−c2 is ___________.

Diagonals do not bisect each other in

Area of a triangle with the same base and height as a parallelogram is ___ the area of the parallelogram.

Mona's father is thrice as old as Mona. After 12 years he will be just twice his daughter. Their present ages are

The length of the minute hand of a clock is 14 cm. Find the area in cm2 swept by the minute hand in 5 minutes.

Find the value of anglex in the following figure.

The solution for the equations c1x+b1y+a1=0 and c2x+b2y+a2=0 is S1 : x=(b1a2–b2a1)(c1b2−c2b1) S2 : y=(a2c1–a1c2)(c2b1−c1b2)

Mention the properties of a rhombus. [4 MARKS]

The area of the curve x2+y2=2ax is

Using a suitable identity, we can find out that (2y+5)(2y+5) is equal to

A line PQ is drawn and with P as centre, a circle is drawn with radius greater than half of PQ but less than PQ. Again with same radius and Q as centre, draw another circle. If the two circles meet at X and Y, then what can be said about the points X and Y?

How to solve 5(b-2)+(b-3)=2(2b+1)-9 ?

Find the total surface area of the cylinder whose radius is 7 m and the height of the cylinder is 15 cm.

Question 14 A jacket was sold for Rs 1120 after allowing a discount of 20%. The marked price of the jacket is (a) Rs 1440 (b) Rs 1400 (c) Rs 960 (d) Rs 866.66

A steel box has dimensions of 3 m, 2 m and 0.5 m. It has to be gold plated through electrolysis. If each square metre of gold plating costs ₹ 100, then gold plating the outer surface of the box costs ______.

The difference of two numbers is 3 and the difference of their squares is 69. Find the numbers.

The representation of l1 parallel to l2 is

A point P lies only on the X-axis. Which of the following represents the coordinates of point P?

Find area of the parallelogram of base 20 cm &amp; altitude 5 cm.

A quadrilateral ABCD is given below. What all measurements will you require to draw the quadrilateral ABCD? The measurements are given in the following options. Choose the right options.

Given that 312 is divisible by 26. It will also be divisible by ________.

What is the area of the rhombus ABCD below, if AC=12cm and BE= 16cm.

There is a rhombus of side 6 cm and altitude 4 cm. If one of the diagonals is 8 cm long, find the length of the other diagonal

The centroid of a triangle is located 12 units from one of the vertices of a triangle. Find the length of the median of the triangle drawn from that same vertex.18

Let A=3y2+9x−3x2,B=6x2−2y2+3x,C=9x2−3xy−y2. Find A + B - C.

Question 113 (v) Study the layout given in the figure and answer the questions. If the floor area of each bedroom is 35 m2, then find x.

Every regular polygon has sides and angles of ___measure.

Divide i.)−40x4by 10x2y ii.) 16a2b2c2by 8ab [2 MARKS]

In a parallelogram ABCD, determine the sum of angles ∠B,∠C and ∠D if ∠A=60∘ [2 MARKS]

ABCD is a rectangle such that CD = 30 cm BC = 40 cm F is a point on the interior of the rectangle and the perpendicular from F meets the side AB at its midpoint i.e., E. If EF = 32 cms. Find the area of the region AFBCD [4 MARKS]

Lengths of the diagonals of a rhombus are 10 units and (7x + 3) units. If its area is 120 cm2, find x.3

Find the value of 3√1.331

Simplify (25÷28)5 × 2−5.

3a−[4a−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯3a−5b−3{2a−(3a−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯2a−3b)}] equals

ABCD is a rhombus in which the altitude from D to side AB bisects AB. Find the angles of the rhombus. [4 MARKS]

Factorize p8 - 256

Solve for x by factorization methodx2−2bx−1=−b2

Three identical square sheets of paper need to be cut into 4, 5, and 6 stripes of equal size respectively. Find the minimum length of the side of the original square sheet.

Simplify (15)−3−(13)−4(14)−3.

A principal of Rs. 40,000 is compound annually at the rate of 10% for 2 years. What is the compound interest and is it greater than the simple interest for the same rate and the same time?

A bar graph is used to show ____________.

Question 18 In the given question, fill in the blanks to make the statement true. 3134673 is divisible by 3 and ___ .

Which of the following numbers will have 6 at their unit's place : (i) 262 (ii) 492 (iii) 342 (iv) 432 (v) 2442

Draw a pie - diagram for the following data of expenditure pattern in a family. ItemsFoodClothingRentEducationUnforeseen eventsMedicineExpenditure (in percent)40%20%10%10%15%5%

A path 1.5 m wide is built along the border inside a square garden of side 10 m. Area of the path is ___ m2.

Question 10 Both x and y are in direct proportion, then 1x and 1y are (a) In indirect proportion (b) In inverse proportion (c) Neither in direct in inverse proportion (d) Sometimes in direct and sometimes in inverse proportion

Find the digit A B A×B 3 57A

One of the two digits of a two digit number is three times the other digit . If you interchange the digits of this two-digit number and add the resulting number to the original number, you get 88. What is the original number?

If A:B =2:3 & B:C=4:5, then C:A is equal to__________

Find area of the parallelogram of base 20 cm & altitude 5 cm.