25365 + Interview Questions in Mathematics

1.	Using a2-b2=(a+b)(a-b) find: i. 512 - 492 ii. (1.02)2 - (0.98)2
Answer» Using a²-b²=(a+b)(a-b) find: i. 51² - 49² ii. (1.02)² - (0.98)²

1.

Using a2-b2=(a+b)(a-b) find: i. 512 - 492 ii. (1.02)2 - (0.98)2

Answer»

Using a²-b²=(a+b)(a-b) find:

i. 51² - 49²

ii. (1.02)² - (0.98)²

2.	A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edges of the two smaller cubes are 6 cm and 8 cm, find the edge of the third smaller cube.
Answer» A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edges of the two smaller cubes are 6 cm and 8 cm, find the edge of the third smaller cube.

Discussion

3.	How many non square numbers lie between the following pairs of the numbers. 1. 1002 and 1012
Answer» How many non square numbers lie between the following pairs of the numbers. 1. 100²and 101²

3.

How many non square numbers lie between the following pairs of the numbers. 1. 1002 and 1012

Answer»

How many non square numbers lie between the following pairs of the numbers.

1. 100²and 101²

Discussion

4.	A shopkeeper offers 2.5% discount on cash purchases. What amount would Rohan pay for a cycle, which is marked price at Rs. 650?
Answer» A shopkeeper offers 2.5% discount on cash purchases. What amount would Rohan pay for a cycle, which is marked price at Rs. 650?

Discussion

5.	The value of x(x+1)(x+2)(x+3)x(x+1) is __________.
Answer» The value of $\frac{x (x + 1) (x + 2) (x + 3)}{x (x + 1)}$ is __________.

Discussion

6.	A regular polygon of three sides is a /an _______ triangle.
Answer» A regular polygon of three sides is a /an _______ triangle.

Discussion

7.	Jigyasa deposits a certain sum of money every month in a cumulative deposit account for 2 years. The amount payable to her on maturity at 6% per annum is Rs 22950. Calculate how much she deposited every month.
Answer» Jigyasa deposits a certain sum of money every month in a cumulative deposit account for 2 years. The amount payable to her on maturity at 6% per annum is Rs 22950. Calculate how much she deposited every month.

Discussion

8.	Rahul got 65% of marks in his Math exam. If the maximum marks for the exam is 80, then find the marks obtained by Rahul in Math.
Answer» Rahul got 65% of marks in his Math exam. If the maximum marks for the exam is 80, then find the marks obtained by Rahul in Math.

Discussion

9.	To construct a quadrilateral, given the measures of three of its sides, we also need to know the measure of
Answer» To construct a quadrilateral, given the measures of three of its sides, we also need to know the measure of

Discussion

10.	48 people want to go on a road trip. There are 4 - seater cars and 9 - seater cars available for hire. If the group decides to travel without leaving empty seats, how many 4 - seater cars and how many 9 - seater cars must be hired ?
Answer» 48 people want to go on a road trip. There are 4 - seater cars and 9 - seater cars available for hire. If the group decides to travel without leaving empty seats, how many 4 - seater cars and how many 9 - seater cars must be hired ?

Discussion

11.	What is the name of the closed figure, which can be formed with the least number of vertices? __
Answer» What is the name of the closed figure, which can be formed with the least number of vertices? __

Discussion

12.	Why we study polynomials?
Answer» Why we study polynomials?

Discussion

13.	In the figure, sides QP and RQ of ΔPQR are produced to points S and T respectively. If ∠SPR = 135∘ and ∠PQT = 110∘ find 2∠PRQ.
Answer» In the figure, sides QP and RQ of $Δ$ PQR are produced to points S and T respectively. If $∠$ SPR = $135^{\circ}$ and $∠$ PQT = $110^{\circ}$ find 2 $∠$ PRQ.

13.

In the figure, sides QP and RQ of ΔPQR are produced to points S and T respectively. If ∠SPR = 135∘ and ∠PQT = 110∘ find 2∠PRQ.

Answer»

In the figure, sides QP and RQ of $Δ$ PQR are produced to points S and T respectively. If $∠$ SPR = $135^{\circ}$ and $∠$ PQT = $110^{\circ}$ find 2 $∠$ PRQ.

Discussion

14.	Sneha bought a air cooler for Rs 3300 including tax of 10% . What is the price of air cooler before VAT was added ?
Answer» Sneha bought a air cooler for Rs 3300 including tax of 10% . What is the price of air cooler before VAT was added ?

Discussion

15.	Factorise m2+7m−60−16n2
Answer» Factorise $m^{2} + 7 m - 60 - 16 n^{2}$

Discussion

16.	Question 35 The area of a square is 100 cm2. The circumference (in cm) of the largest circle cut of it is (a) 5π (b) 10π (c) 15π (d) 20π
Answer» Question 35 The area of a square is $100 c m^{2}$ . The circumference (in cm) of the largest circle cut of it is (a) $5 π$ (b) $10 π$ (c) $15 π$ (d) $20 π$

Discussion

17.	In a right angled triangle, the ratio of the shorter sides is 2: 3. Find the ratio of the hypotenuse of the triangle to its perimeter. (Assume √13 = 3.5)
Answer» In a right angled triangle, the ratio of the shorter sides is 2: 3. Find the ratio of the hypotenuse of the triangle to its perimeter. (Assume $\sqrt{13}$ = 3.5)

Discussion

18.	Two adjacent side of a rectangle are 5x2−3y2 and x2−2xy. Find its perimeter. [3 MARKS]
Answer» Two adjacent side of a rectangle are $5 x^{2} - 3 y^{2}$ and $x^{2} - 2 x y$ . Find its perimeter. [3 MARKS]

Discussion

19.	Select the linear equations from the following equations.
Answer» Select the linear equations from the following equations.

Discussion

20.	The hypotenuse of a right angled triangle is 5cm and the other two sides differ by 1cm . Find the lengths of the sides of the triangle
Answer» The hypotenuse of a right angled triangle is 5cm and the other two sides differ by 1cm . Find the lengths of the sides of the triangle

Discussion

21.	The value of (30 + 4−1) × 22 is ___
Answer» The value of ( $3^{0}$ + $4^{- 1}$ ) × $2^{2}$ is ___

Discussion

22.	If(a+b) :(b+c) :(c+a) =6:7:8 And(a+b+c)=14 then what is the value of c. .
Answer» If(a+b) :(b+c) :(c+a) =6:7:8 And(a+b+c)=14 then what is the value of c. .

Discussion

23.	Sharon makes money by commission rates. She gets 17% of everything she sells. If Sharon sold ₹37000 worth of items this month, what is her salary for the month ?
Answer» Sharon makes money by commission rates. She gets $17 %$ of everything she sells. If Sharon sold $₹ 37000$ worth of items this month, what is her salary for the month ?

Discussion

24.	Question 30 Fill in the blanks to make the statements true. The square root of 24025 will have ___ digits.
Answer» Question 30 Fill in the blanks to make the statements true. The square root of 24025 will have ___ digits.

24.

Question 30 Fill in the blanks to make the statements true. The square root of 24025 will have ___ digits.

Answer»

Question 30

Fill in the blanks to make the statements true.

The square root of 24025 will have ___ digits.

Discussion

25.	Write the correct answer from the given four options. A number ending in 9 will have the unit's place of its square as a) 3 b) 9 c) 1 d) 6
Answer» Write the correct answer from the given four options. A number ending in $9$ will have the unit's place of its square as a) $3$ b) $9$ c) $1$ d) $6$

25.

Write the correct answer from the given four options. A number ending in 9 will have the unit's place of its square as a) 3 b) 9 c) 1 d) 6

Answer»

Write the correct answer from the given four options.

A number ending in $9$ will have the unit's place of its square as

a) $3$
b) $9$
c) $1$
d) $6$

Discussion

26.	The square of which of the following numbers would be an odd number ? (i) 731 (ii) 3456 (iii) 5559 (iv) 42008
Answer» The square of which of the following numbers would be an odd number ? (i) 731 (ii) 3456 (iii) 5559 (iv) 42008

Discussion

27.	Question 75 In the following question, state whether the given statements are true (T) or false (F). (−2)0=2
Answer» Question 75 In the following question, state whether the given statements are true (T) or false (F). $(- 2)^{0} = 2$

27.

Question 75 In the following question, state whether the given statements are true (T) or false (F). (−2)0=2

Answer»

Question 75

In the following question, state whether the given statements are true (T) or false (F).

$(- 2)^{0} = 2$

Discussion

28.	Factorise: 4n2−8n+3
Answer» Factorise: $4 n^{2} - 8 n + 3$

28.

Factorise: 4n2−8n+3

Answer»

Factorise:

$4 n^{2} - 8 n + 3$

Discussion

29.	1200 men can finish a stock of food in 35 days. How many more men should join them so that the same stock may last for 25 days ?
Answer» 1200 men can finish a stock of food in 35 days. How many more men should join them so that the same stock may last for 25 days ?

Discussion

30.	Question 9 Which of the following vary inversely with each other? (a) Speed and distance covered (b) Distance covered and taxi fare (c) Distance travelled and time taken (d) Speed and time taken
Answer» Question 9 Which of the following vary inversely with each other? (a) Speed and distance covered (b) Distance covered and taxi fare (c) Distance travelled and time taken (d) Speed and time taken

30.

Question 9 Which of the following vary inversely with each other? (a) Speed and distance covered (b) Distance covered and taxi fare (c) Distance travelled and time taken (d) Speed and time taken

Answer»

Question 9

Which of the following vary inversely with each other?
(a) Speed and distance covered
(b) Distance covered and taxi fare
(c) Distance travelled and time taken
(d) Speed and time taken

Discussion

31.	Water in a cuboidal tank of dimensions 3 m×2 m×1 m is transferred to a cubical tank of side 2 m. Find the amount of water spilt out of the cubical tank.
Answer» Water in a cuboidal tank of dimensions $3 m \times 2 m \times 1 m$ is transferred to a cubical tank of side $2 m .$ Find the amount of water spilt out of the cubical tank.

Discussion

32.	Question 179(i) Express each of the following in exponential form. −129614641
Answer» Question 179(i) Express each of the following in exponential form. $\frac{- 1296}{14641}$

32.

Question 179(i) Express each of the following in exponential form. −129614641

Answer»

Question 179(i)

Express each of the following in exponential form.
$\frac{- 1296}{14641}$

Discussion

33.	The following histogram shows the frequency distribution of teaching experiences of 30 teachers in various schools : The number of teachers with 5 to 10 years experience is
Answer» The following histogram shows the frequency distribution of teaching experiences of 30 teachers in various schools : The number of teachers with 5 to 10 years experience is

33.

The following histogram shows the frequency distribution of teaching experiences of 30 teachers in various schools : The number of teachers with 5 to 10 years experience is

Answer»

The following histogram shows the frequency distribution of teaching experiences of 30 teachers in various schools :

The number of teachers with 5 to 10 years experience is

Discussion

34.	Which one is the correct net of the given 3D figure?
Answer» Which one is the correct net of the given 3D figure?

Discussion

35.	Question (viii) Find the cube root of each of the following numbers by prime factorization method: 46656
Answer» Question (viii) Find the cube root of each of the following numbers by prime factorization method: 46656

Discussion

36.	Question 3(iv) Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube: 192
Answer» Question 3(iv) Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube: 192

Discussion

37.	Question 11 Can all the angles of a quadrilateral be acute angles. ? Give reasons for your answer.
Answer» Question 11 Can all the angles of a quadrilateral be acute angles. ? Give reasons for your answer.

Discussion

38.	Subtract 74 from 127.
Answer» Subtract $\frac{7}{4}$ from $\frac{12}{7}$ .

Discussion

39.	Question 179(iv) Express each of the following in exponential form. −62510000
Answer» Question 179(iv) Express each of the following in exponential form. $\frac{- 625}{10000}$

39.

Question 179(iv) Express each of the following in exponential form. −62510000

Answer»

Question 179(iv)

Express each of the following in exponential form.
$\frac{- 625}{10000}$

Discussion

40.	Question 74 Solve the following: 3t−23+2t+32=t+76
Answer» Question 74 Solve the following: $\frac{3 t - 2}{3} + \frac{2 t + 3}{2} = t + \frac{7}{6}$

40.

Question 74 Solve the following: 3t−23+2t+32=t+76

Answer»

Question 74

Solve the following:

$\frac{3 t - 2}{3} + \frac{2 t + 3}{2} = t + \frac{7}{6}$

Discussion

41.	2 tangents PT1 and PT2 are drawn as shown in the figure and PQ passes through the centre O of the circle. Which segment(s) is/are the chord of contact of P.
Answer» 2 tangents $P T_{1}$ and $P T_{2}$ are drawn as shown in the figure and PQ passes through the centre O of the circle. Which segment(s) is/are the chord of contact of P.

41.

2 tangents PT1 and PT2 are drawn as shown in the figure and PQ passes through the centre O of the circle. Which segment(s) is/are the chord of contact of P.

Answer»

2 tangents $P T_{1}$ and $P T_{2}$ are drawn as shown in the figure and PQ passes through the centre O of the circle. Which segment(s) is/are the chord of contact of P.

Discussion

42.	I have a total of rupees 300 in coins of denomination. Rupee 1, rupee 2 and rupee 5. the number of rupee 2coins is three times the number of Rupee 5 coins. The total number of coin is 160. How many coins of each denomination are with me.
Answer» I have a total of rupees 300 in coins of denomination. Rupee 1, rupee 2 and rupee 5. the number of rupee 2coins is three times the number of Rupee 5 coins. The total number of coin is 160. How many coins of each denomination are with me.

Discussion

43.	1200 soldiers had enough food for 28 days. After 4 days, some soldiers were transferred to another fort. As a result, the food now lasted for 32 more days. How many soldiers were transferred to another fort?
Answer» 1200 soldiers had enough food for 28 days. After 4 days, some soldiers were transferred to another fort. As a result, the food now lasted for 32 more days. How many soldiers were transferred to another fort?

Discussion

44.	If 3√412125=x, then the value x is:
Answer» If $\sqrt[3]{4 \frac{12}{125}} = x$ , then the value x is:

Discussion

45.	Question 1(vi) Factorise the following expressions 121b2−88bc+16c2
Answer» Question 1(vi) Factorise the following expressions $121 b^{2} - 88 b c + 16 c^{2}$

Discussion

46.	In the given figure , ABCD is a parallelogram. DL is perpendicular to AB and AB =AD =13 cm. If the area of parallelogram is 156 cm2 then find the length of AL. [2 MARKS]
Answer» In the given figure , ABCD is a parallelogram. DL is perpendicular to AB and AB =AD =13 cm. If the area of parallelogram is $156 c m^{2}$ then find the length of AL. [2 MARKS]

46.

In the given figure , ABCD is a parallelogram. DL is perpendicular to AB and AB =AD =13 cm. If the area of parallelogram is 156 cm2 then find the length of AL. [2 MARKS]

Answer»

In the given figure , ABCD is a parallelogram. DL is perpendicular to AB and AB =AD =13 cm. If the area of parallelogram is $156 c m^{2}$ then find the length of AL. [2 MARKS]

Discussion

47.	What we need for fixing the point on the graph paper ?
Answer» What we need for fixing the point on the graph paper ?

Discussion

48.	For what value of x will △ABC≅△XYZ? 10
Answer» For what value of $x$ will $△ A B C ≅ △ X Y Z$ ? 10

48.

For what value of x will △ABC≅△XYZ? 10

Answer»

For what value of $x$ will $△ A B C ≅ △ X Y Z$ ?

10

Discussion

49.	Question 4(v) Find the multiplicative inverse of the following: −1×−25
Answer» Question 4(v) Find the multiplicative inverse of the following: $- 1 \times \frac{- 2}{5}$

Discussion

50.	Question 1(ii) Using appropriate properties find: 25×(−37)−16×32+114×25
Answer» Question 1(ii) Using appropriate properties find: $\frac{2}{5} \times (\frac{- 3}{7}) - \frac{1}{6} \times \frac{3}{2} + \frac{1}{14} \times \frac{2}{5}$

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Using a2-b2=(a+b)(a-b) find: i. 512 - 492 ii. (1.02)2 - (0.98)2

A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edges of the two smaller cubes are 6 cm and 8 cm, find the edge of the third smaller cube.

How many non square numbers lie between the following pairs of the numbers. 1. 1002 and 1012

A shopkeeper offers 2.5% discount on cash purchases. What amount would Rohan pay for a cycle, which is marked price at Rs. 650?

The value of x(x+1)(x+2)(x+3)x(x+1) is __________.

A regular polygon of three sides is a /an _______ triangle.

Jigyasa deposits a certain sum of money every month in a cumulative deposit account for 2 years. The amount payable to her on maturity at 6% per annum is Rs 22950. Calculate how much she deposited every month.

Rahul got 65% of marks in his Math exam. If the maximum marks for the exam is 80, then find the marks obtained by Rahul in Math.

To construct a quadrilateral, given the measures of three of its sides, we also need to know the measure of

48 people want to go on a road trip. There are 4 - seater cars and 9 - seater cars available for hire. If the group decides to travel without leaving empty seats, how many 4 - seater cars and how many 9 - seater cars must be hired ?

What is the name of the closed figure, which can be formed with the least number of vertices? __

Why we study polynomials?

In the figure, sides QP and RQ of ΔPQR are produced to points S and T respectively. If ∠SPR = 135∘ and ∠PQT = 110∘ find 2∠PRQ.

Sneha bought a air cooler for Rs 3300 including tax of 10% . What is the price of air cooler before VAT was added ?

Factorise m2+7m−60−16n2

Question 35 The area of a square is 100 cm2. The circumference (in cm) of the largest circle cut of it is (a) 5π (b) 10π (c) 15π (d) 20π

In a right angled triangle, the ratio of the shorter sides is 2: 3. Find the ratio of the hypotenuse of the triangle to its perimeter. (Assume √13 = 3.5)

Two adjacent side of a rectangle are 5x2−3y2 and x2−2xy. Find its perimeter. [3 MARKS]

Select the linear equations from the following equations.

The hypotenuse of a right angled triangle is 5cm and the other two sides differ by 1cm . Find the lengths of the sides of the triangle

The value of (30 + 4−1) × 22 is ___

If(a+b) :(b+c) :(c+a) =6:7:8 And(a+b+c)=14 then what is the value of c. ​​​.

Sharon makes money by commission rates. She gets 17% of everything she sells. If Sharon sold ₹37000 worth of items this month, what is her salary for the month ?

Question 30 Fill in the blanks to make the statements true. The square root of 24025 will have ___ digits.

Write the correct answer from the given four options. A number ending in 9 will have the unit's place of its square as a) 3 b) 9 c) 1 d) 6

The square of which of the following numbers would be an odd number ? (i) 731 (ii) 3456 (iii) 5559 (iv) 42008

Question 75 In the following question, state whether the given statements are true (T) or false (F). (−2)0=2

Factorise: 4n2−8n+3

1200 men can finish a stock of food in 35 days. How many more men should join them so that the same stock may last for 25 days ?

Question 9 Which of the following vary inversely with each other? (a) Speed and distance covered (b) Distance covered and taxi fare (c) Distance travelled and time taken (d) Speed and time taken

Water in a cuboidal tank of dimensions 3 m×2 m×1 m is transferred to a cubical tank of side 2 m. Find the amount of water spilt out of the cubical tank.

Question 179(i) Express each of the following in exponential form. −129614641

The following histogram shows the frequency distribution of teaching experiences of 30 teachers in various schools : The number of teachers with 5 to 10 years experience is

Which one is the correct net of the given 3D figure?

Question (viii) Find the cube root of each of the following numbers by prime factorization method: 46656

Question 3(iv) Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube: 192

Question 11 Can all the angles of a quadrilateral be acute angles. ? Give reasons for your answer.

Subtract 74 from 127.

Question 179(iv) Express each of the following in exponential form. −62510000

Question 74 Solve the following: 3t−23+2t+32=t+76

2 tangents PT1 and PT2 are drawn as shown in the figure and PQ passes through the centre O of the circle. Which segment(s) is/are the chord of contact of P.

I have a total of rupees 300 in coins of denomination. Rupee 1, rupee 2 and rupee 5. the number of rupee 2coins is three times the number of Rupee 5 coins. The total number of coin is 160. How many coins of each denomination are with me.

1200 soldiers had enough food for 28 days. After 4 days, some soldiers were transferred to another fort. As a result, the food now lasted for 32 more days. How many soldiers were transferred to another fort?

If 3√412125=x, then the value x is:

Question 1(vi) Factorise the following expressions 121b2−88bc+16c2

In the given figure , ABCD is a parallelogram. DL is perpendicular to AB and AB =AD =13 cm. If the area of parallelogram is 156 cm2 then find the length of AL. [2 MARKS]

What we need for fixing the point on the graph paper ?

For what value of x will △ABC≅△XYZ? 10

Question 4(v) Find the multiplicative inverse of the following: −1×−25

Question 1(ii) Using appropriate properties find: 25×(−37)−16×32+114×25

If(a+b) :(b+c) :(c+a) =6:7:8 And(a+b+c)=14 then what is the value of c. .