25365 + Interview Questions in Mathematics

1.	If U = {x:x=n2,n∈N,n≤5}, then the subset A = {even numbers} is
Answer» If U = ${x : x = n^{2}, n \in N, n \leq 5}$ , then the subset A = {even numbers} is

Discussion

2.	Given 3 flags of different colours, how many different signals can be generated, if a signal requires the use of 2 flags one below the other?
Answer» Given 3 flags of different colours, how many different signals can be generated, if a signal requires the use of 2 flags one below the other?

Discussion

3.	What is the surface area of a sphere with radius 'r' ?
Answer» What is the surface area of a sphere with radius 'r' ?

Discussion

4.	In Figure, ABC is a triangle in which ∠ABC<90∘ and AD⊥BC. Prove that AC2=AB2+BC2−2BC.DB.
Answer» In Figure, $A B C$ is a triangle in which $∠ A B C < 90^{\circ}$ and $A D ⊥ B C .$ Prove that $A C^{2} = A B^{2} + B C^{2} - 2 B C . D B .$

Discussion

5.	Pick the option that does not have a smooth surface.
Answer» Pick the option that does not have a smooth surface.

Discussion

6.	a3 - b3 is always divisible by:
Answer» $a^{3}$ - $b^{3}$ is always divisible by:

Discussion

7.	Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows: 1623512584810341228151176328596871412 Make a grouped frequency distribution table for this data, taking class width as 5 and one of the class intervals as 5- 10.
Answer» Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows: $\begin{matrix} 1 & 6 & 2 & 3 & 5 & 12 & 5 & 8 & 4 & 8 10 & 3 & 4 & 12 & 2 & 8 & 15 & 1 & 17 & 6 3 & 2 & 8 & 5 & 9 & 6 & 8 & 7 & 14 & 12 \end{matrix}$ Make a grouped frequency distribution table for this data, taking class width as 5 and one of the class intervals as 5- 10.

Discussion

8.	Give one example each of a binomial of degree 35, and of a monomial of degree 100.
Answer» Give one example each of a binomial of degree 35, and of a monomial of degree 100.

Discussion

9.	In the given figure, PQ is parallel to MN. If KPPM=413 and KN = 20.4 cm. Find KQ.
Answer» In the given figure, PQ is parallel to MN. If $\frac{K P}{P M} = \frac{4}{13}$ and KN = 20.4 cm. Find KQ.

9.

In the given figure, PQ is parallel to MN. If KPPM=413 and KN = 20.4 cm. Find KQ.

Answer»

In the given figure, PQ is parallel to MN. If $\frac{K P}{P M} = \frac{4}{13}$ and KN = 20.4 cm. Find KQ.

Discussion

10.	What is a3−b3 if a−b=3 and ab=28 ?
Answer» What is $a^{3} - b^{3}$ if $a - b = 3$ and $a b = 28$ ?

Discussion

11.	Solve the following:Find the least value that must be given to number a so that the number 91876a1 is divisible by 3.
Answer» Solve the following: Find the least value that must be given to number a so that the number 91876a1 is divisible by 3.

Discussion

12.	In a trapezium PQRS, PQ \|\| RS; and∠P = 70° and ∠Q = 80°. Calculate the measure of ∠S and ∠R.
Answer» In a trapezium PQRS, PQ \|\| RS; and∠P = 70° and ∠Q = 80°. Calculate the measure of ∠S and ∠R.

Discussion

13.	Question 1: Classify the following curve as (i) Open or (ii) Closed.
Answer» Question 1: Classify the following curve as (i) Open or (ii) Closed.

Discussion

14.	How much water will a tank hold if the interior diameter of the tank is 1.6 m and its depth is 0.7 m?
Answer» How much water will a tank hold if the interior diameter of the tank is 1.6 m and its depth is 0.7 m?

Discussion

15.	express i^{-39} in the form a+i
Answer» express i^{-39} in the form a+i

Discussion

16.	A number is said to be prime if it has exactly _____ factors.
Answer» A number is said to be prime if it has exactly _____ factors.

Discussion

17.	A 30 cm long green thread is used to measure the perimeter of the given figure as shown. What is the perimeter of the figure?
Answer» A 30 cm long green thread is used to measure the perimeter of the given figure as shown. What is the perimeter of the figure?

Discussion

18.	In the given figure, ABCD is a quadrilateral and ∠ADC=a∘,∠BCD=b∘. AO and BO are bisectors of ∠DAB and ∠ABC respectively meeting at O. Find ∠AOB in terms of a∘ and b∘.
Answer» In the given figure, ABCD is a quadrilateral and $∠ A D C = a^{\circ}, ∠ B C D = b^{\circ} .$ AO and BO are bisectors of $∠ D A B$ and $∠ A B C$ respectively meeting at O. Find $∠ A O B$ in terms of $a^{\circ}$ and $b^{\circ}$ .

Discussion

19.	Obtain the product of (i) xy, yz, zx (ii) a, − a2, a3 (iii) 2, 4y, 8y2, 16y3 (iv) a, 2b, 3c, 6abc (v) m, − mn, mnp
Answer» Obtain the product of (i) xy, yz, zx (ii) a, − a², a³ (iii) 2, 4y, 8y², 16y³ (iv) a, 2b, 3c, 6abc (v) m, − mn, mnp

19.

Obtain the product of (i) xy, yz, zx (ii) a, − a2, a3 (iii) 2, 4y, 8y2, 16y3 (iv) a, 2b, 3c, 6abc (v) m, − mn, mnp

Answer»

Obtain the product of

(i) xy, yz,
zx (ii) a, − a², a³ (iii) 2,
4y, 8y², 16y³

(iv) a, 2b,
3c, 6abc (v) m, − mn, mnp

Discussion

20.	x(x+1)(x+2)(x+3)x(x+1)= ______
Answer» $\frac{x (x + 1) (x + 2) (x + 3)}{x (x + 1)}$ = ______

20.

x(x+1)(x+2)(x+3)x(x+1)= ______

Answer»

$\frac{x (x + 1) (x + 2) (x + 3)}{x (x + 1)}$ = ______

Discussion

21.	The length, breadth and height of a cuboid are 10 cm, 12 cm and 15 cm. Find the lateral surface area of the cuboid.
Answer» The length, breadth and height of a cuboid are 10 cm, 12 cm and 15 cm. Find the lateral surface area of the cuboid.

Discussion

22.	{ 4. Find the number of real ordered pair(s) }(x,y) for which: }}16^{x^2+y}+16^{x+y^2}=1
Answer» { 4. Find the number of real ordered pair(s) }(x,y) for which: }}16^{x^2+y}+16^{x+y^2}=1

Discussion

23.	Find the least number which must be subtracted from 18265 to make it a perfect square. [4 MARKS]
Answer» Find the least number which must be subtracted from 18265 to make it a perfect square. [4 MARKS]

Discussion

24.	25^102-4^102 is divisible by a.21 b.25 c.29 d.30
Answer» 25^102-4^102 is divisible by a.21 b.25 c.29 d.30

Discussion

25.	Which of the following is not a three-dimensional shape?
Answer» Which of the following is not a three-dimensional shape?

Discussion

26.	A colour TV is available for Rs. 13,440 inclusive of VAT. If the original cost of TV is Rs. 12,000, find the rate of VAT.
Answer» A colour TV is available for Rs. 13,440 inclusive of VAT. If the original cost of TV is Rs. 12,000, find the rate of VAT.

Discussion

27.	m+n/m^2+mn+n^2=4/49 then find m+n
Answer» m+n/m^2+mn+n^2=4/49 then find m+n

Discussion

28.	Condition satisfied by the pair of equation 2x+3y=−5 and 4x+6y−10=0 is
Answer» Condition satisfied by the pair of equation $2 x + 3 y = - 5$ and $4 x + 6 y - 10 = 0$ is

Discussion

29.	How to find square root of 531.7636
Answer» How to find square root of 531.7636

Discussion

30.	Prove that n^2-n is divisible by 2,for any positive integer
Answer» Prove that n^2-n is divisible by 2,for any positive integer

Discussion

31.	Question 8The mean of the following frequency distribution is 50 but the frequencies f1 and f2 in classes 20-40 and 60-80, respectively are not known. Find these frequencies, if the sum of all the frequencies is 120.Class0−2020−4040−6060−8080−100Frequency17f132f219
Answer» Question 8 The mean of the following frequency distribution is 50 but the frequencies $f_{1}$ and $f_{2}$ in classes 20-40 and 60-80, respectively are not known. Find these frequencies, if the sum of all the frequencies is 120. $\begin{matrix} C l a s s & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 F r e q u e n c y & 17 & f_{1} & 32 & f_{2} & 19 \end{matrix}$

Discussion

32.	Find limit at x tends to -infinity (x^4+1)( sqrt (x^6+x^3+1))/(x^7+x^3+x^4+1)
Answer» Find limit at x tends to -infinity (x^4+1)( sqrt (x^6+x^3+1))/(x^7+x^3+x^4+1)

Discussion

33.	After 32 yrs ,Rahim will be 5 times as old as he was 8yrs ago. Find his present age
Answer» After 32 yrs ,Rahim will be 5 times as old as he was 8yrs ago. Find his present age

Discussion

34.	By using the formula, find the amount and compound interest on: Rs 31250 for 3 years at 8% per annum compounded annually.
Answer» By using the formula, find the amount and compound interest on: Rs 31250 for 3 years at $8 %$ per annum compounded annually.

34.

By using the formula, find the amount and compound interest on: Rs 31250 for 3 years at 8% per annum compounded annually.

Answer»

By using the formula, find the amount and compound interest on:

Rs 31250 for 3 years at $8 %$ per annum compounded annually.

Discussion

35.	If 152+a2=b2, then find a and b respectively.
Answer» If $15^{2} + a^{2} = b^{2},$ then find $a$ and $b$ respectively.

Discussion

36.	A number "p" exists such that it is the square of a number "q". If "p"> 400, "q" can be any number greater than
Answer» A number "p" exists such that it is the square of a number "q". If "p" $>$ 400, "q" can be any number greater than

Discussion

37.	If x+y=3 and xy=6, what is the value of the expression (x2+y2)2+4x2y2+4xy2+4x2y
Answer» If $x + y = 3$ and $x y = 6$ , what is the value of the expression $(x^{2} + y^{2})^{2} + 4 x^{2} y^{2} + 4 x y^{2} + 4 x^{2} y$

Discussion

38.	After allowing a discount of 8% on a toy, it is sold for Rs. 216.20. Find the marked price of the toy.
Answer» After allowing a discount of $8 %$ on a toy, it is sold for $R s . 216.20.$ Find the marked price of the toy.

Discussion

39.	Find the amount of money Shekhar will get at the end of 5 years if he invests ₹ 1000 in a bank with an interest rate of 20% compounded annually.
Answer» Find the amount of money Shekhar will get at the end of 5 years if he invests ₹ 1000 in a bank with an interest rate of 20% compounded annually.

Discussion

40.	In the given figure find out the opposite angles.
Answer» In the given figure find out the opposite angles.

40.

In the given figure find out the opposite angles.

Answer»

In the given figure find out the opposite angles.

Discussion

41.	All the elements given below are commonly used as:
Answer» All the elements given below are commonly used as:

Discussion

42.	Question 6Find and correct the errors in the statement: 3x+2x=5x2
Answer» Question 6 Find and correct the errors in the statement: $3 x + 2 x = 5 x^{2}$

Discussion

43.	If LCM of a4b3, a3b6 and a4b8 is axby, then the value of yx = ______.
Answer» If LCM of $a^{4} b^{3}$ , $a^{3} b^{6}$ and $a^{4} b^{8}$ is $a^{x} b^{y}$ , then the value of $\frac{y}{x}$ = ______.

Discussion

44.	How many minimum number of straight lines is needed to construct the below figure?
Answer» How many minimum number of straight lines is needed to construct the below figure?

Discussion

45.	Square root of 19 lies in between_________.
Answer» Square root of 19 lies in between_________.

Discussion

46.	Construct a triangle ABC with AB = 5.5 cm, AC = 6 cm and ∠BAC=105∘. Mark the point of intersection of the locus of points equidistant from BA and BC and the locus of points equidistant from B and C, as P. Then the length of PC is
Answer» Construct a triangle ABC with AB = 5.5 cm, AC = 6 cm and $∠ B A C = 105^{\circ}$ . Mark the point of intersection of the locus of points equidistant from BA and BC and the locus of points equidistant from B and C, as P. Then the length of PC is

Discussion

47.	△XYZ is drawn with the length of side XZ being 4.7 cm. If ∠X is 80∘ and ∠Z is 65∘, then, the measure of ∠Y and the length of side YZ respectively are
Answer» $△$ XYZ is drawn with the length of side XZ being 4.7 cm. If $∠$ X is 80 $^{\circ}$ and $∠$ Z is 65 $^{\circ}$ , then, the measure of $∠$ Y and the length of side YZ respectively are

Discussion

48.	Q. In triangle PQR, S and T are respectively the points on sides PQ and PR such that PS=4cm, QS=6cm and QR=15cm. If ST//QR, then find the length of ST.
Answer» Q. In triangle PQR, S and T are respectively the points on sides PQ and PR such that PS=4cm, QS=6cm and QR=15cm. If ST//QR, then find the length of ST.

Discussion

49.	The correct subtraction equation for this number line is.
Answer» The correct subtraction equation for this number line is.

Discussion

50.	If two angles and the included side of a triangle are equal to the corresponding two angles and the included side of another triangle, then the triangles are congruent by which condition?
Answer» If two angles and the included side of a triangle are equal to the corresponding two angles and the included side of another triangle, then the triangles are congruent by which condition?

50.

If two angles and the included side of a triangle are equal to the corresponding two angles and the included side of another triangle, then the triangles are congruent by which condition?

Answer»

If two angles and the included side of a triangle are equal to the corresponding two angles and the included side of another triangle, then the triangles are congruent by which condition?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If U = {x:x=n2,n∈N,n≤5}, then the subset A = {even numbers} is

Given 3 flags of different colours, how many different signals can be generated, if a signal requires the use of 2 flags one below the other?

What is the surface area of a sphere with radius 'r' ?

In Figure, ABC is a triangle in which ∠ABC&lt;90∘ and AD⊥BC. Prove that AC2=AB2+BC2−2BC.DB.

Pick the option that does not have a smooth surface.

a3 - b3 is always divisible by:

Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows: 1623512584810341228151176328596871412 Make a grouped frequency distribution table for this data, taking class width as 5 and one of the class intervals as 5- 10.

Give one example each of a binomial of degree 35, and of a monomial of degree 100.

In the given figure, PQ is parallel to MN. If KPPM=413 and KN = 20.4 cm. Find KQ.

What is a3−b3 if a−b=3 and ab=28 ?

Solve the following:Find the least value that must be given to number a so that the number 91876a1 is divisible by 3.

In a trapezium PQRS, PQ || RS; and∠P = 70° and ∠Q = 80°. Calculate the measure of ∠S and ∠R.

Question 1: Classify the following curve as (i) Open or (ii) Closed.

How much water will a tank hold if the interior diameter of the tank is 1.6 m and its depth is 0.7 m?

express i^{-39} in the form a+i

A number is said to be prime if it has exactly _____ factors.

A 30 cm long green thread is used to measure the perimeter of the given figure as shown. What is the perimeter of the figure?

In the given figure, ABCD is a quadrilateral and ∠ADC=a∘,∠BCD=b∘. AO and BO are bisectors of ∠DAB and ∠ABC respectively meeting at O. Find ∠AOB in terms of a∘ and b∘.

Obtain the product of (i) xy, yz, zx (ii) a, − a2, a3 (iii) 2, 4y, 8y2, 16y3 (iv) a, 2b, 3c, 6abc (v) m, − mn, mnp

x(x+1)(x+2)(x+3)x(x+1)= ______

The length, breadth and height of a cuboid are 10 cm, 12 cm and 15 cm. Find the lateral surface area of the cuboid.

{ 4. Find the number of real ordered pair(s) }(x,y) for which: }}16^{x^2+y}+16^{x+y^2}=1

Find the least number which must be subtracted from 18265 to make it a perfect square. [4 MARKS]

25^102-4^102 is divisible by a.21 b.25 c.29 d.30

Which of the following is not a three-dimensional shape?

A colour TV is available for Rs. 13,440 inclusive of VAT. If the original cost of TV is Rs. 12,000, find the rate of VAT.

m+n/m^2+mn+n^2=4/49 then find m+n

Condition satisfied by the pair of equation 2x+3y=−5 and 4x+6y−10=0 is

How to find square root of 531.7636

Prove that n^2-n is divisible by 2,for any positive integer

Question 8The mean of the following frequency distribution is 50 but the frequencies f1 and f2 in classes 20-40 and 60-80, respectively are not known. Find these frequencies, if the sum of all the frequencies is 120.Class0−2020−4040−6060−8080−100Frequency17f132f219

Find limit at x tends to -infinity (x^4+1)( sqrt (x^6+x^3+1))/(x^7+x^3+x^4+1)

After 32 yrs ,Rahim will be 5 times as old as he was 8yrs ago. Find his present age

By using the formula, find the amount and compound interest on: Rs 31250 for 3 years at 8% per annum compounded annually.

If 152+a2=b2, then find a and b respectively.

A number "p" exists such that it is the square of a number "q". If "p"&gt; 400, "q" can be any number greater than

If x+y=3 and xy=6, what is the value of the expression (x2+y2)2+4x2y2+4xy2+4x2y

After allowing a discount of 8% on a toy, it is sold for Rs. 216.20. Find the marked price of the toy.

Find the amount of money Shekhar will get at the end of 5 years if he invests ₹ 1000 in a bank with an interest rate of 20% compounded annually.

In the given figure find out the opposite angles.

All the elements given below are commonly used as:

Question 6Find and correct the errors in the statement: 3x+2x=5x2

If LCM of a4b3, a3b6 and a4b8 is axby, then the value of yx = ______.

How many minimum number of straight lines is needed to construct the below figure?

Square root of 19 lies in between_________.

Construct a triangle ABC with AB = 5.5 cm, AC = 6 cm and ∠BAC=105∘. Mark the point of intersection of the locus of points equidistant from BA and BC and the locus of points equidistant from B and C, as P. Then the length of PC is

△XYZ is drawn with the length of side XZ being 4.7 cm. If ∠X is 80∘ and ∠Z is 65∘, then, the measure of ∠Y and the length of side YZ respectively are

Q. In triangle PQR, S and T are respectively the points on sides PQ and PR such that PS=4cm, QS=6cm and QR=15cm. If ST//QR, then find the length of ST.

The correct subtraction equation for this number line is.

If two angles and the included side of a triangle are equal to the corresponding two angles and the included side of another triangle, then the triangles are congruent by which condition?

In Figure, ABC is a triangle in which ∠ABC<90∘ and AD⊥BC. Prove that AC2=AB2+BC2−2BC.DB.

A number "p" exists such that it is the square of a number "q". If "p"> 400, "q" can be any number greater than