25365 + Interview Questions in Mathematics

1.	The square of 3015 is
Answer» The square of $30 \frac{1}{5}$ is

Discussion

2.

Find the median for the following frequency distribution table: Class-intervals 0 - 5 5 -10 10 - 15 15 - 20 20 - 25 25 - 30 Frequency 5 3 9 10 8 5

Answer»

Find the median for the following frequency distribution table:

Class-intervals	0 - 5	5 -10	10 - 15	15 - 20	20 - 25	25 - 30
Frequency	5	3	9	10	8	5

Discussion

3.	If x100+2x99+k is divisible by (x+1), then the value of k is:
Answer» If $x^{100} + 2 x^{99} + k$ is divisible by $(x + 1)$ , then the value of $k$ is:

Discussion

4.	Substituting x=−3 in (x2)−5x gives ___
Answer» Substituting $x = - 3$ in $(x^{2}) - 5 x$ gives ___

Discussion

5.	Find the value of 7−3.
Answer» Find the value of $7^{- 3}$ .

Discussion

6.	Factorise :(x−2y)2−4x+8y
Answer» Factorise : $(x - 2 y)^{2} - 4 x + 8 y$

Discussion

7.	In the adjacent rectangle ABCD, ∠OCD = 30°. Calculate ∠BOC. What type of triangle is BOC?
Answer» In the adjacent rectangle ABCD, ∠OCD = 30°. Calculate ∠BOC. What type of triangle is BOC?

7.

In the adjacent rectangle ABCD, ∠OCD = 30°. Calculate ∠BOC. What type of triangle is BOC?

Answer»

In the adjacent rectangle ABCD, ∠OCD = 30°. Calculate ∠BOC. What type of triangle is BOC?

Discussion

8.	There is a thin metal plate of length and breadth 2M mm and 2K mm respectively. Its thickness is 1 mm. If ‘N′ number of plates are placed one on top of the other, what is the object formed and what is its volume in mm3?
Answer» There is a thin metal plate of length and breadth $2 M m m$ and $2 K m m$ respectively. Its thickness is $1 m m .$ If $‘ N^{'}$ number of plates are placed one on top of the other, what is the object formed and what is its volume in $m m^{3}$ ?

Discussion

9.	Question 1 - In the new budget, the price of petrol rose by 10%. By how much per cent must one reduce the consumption so that the expenditure does not increase?
Answer» Question 1 - In the new budget, the price of petrol rose by 10%. By how much per cent must one reduce the consumption so that the expenditure does not increase?

Discussion

10.	Value of n^0 where n not equal to zero is always ___.
Answer» Value of n^0where n not equal to zero is always ___.

Discussion

11.	कई बार एक शब्द सुनने या पढ़ने पर कोई और शब्द याद आ जाता है। आइए शब्दों की ऐसी कड़ी बनाएँ। नीचे शुरुआत की गई है। उसे आप आगे बढ़ाइए। कक्षा में मौखिक सामूहिक गतिविधि के रूप में भी इसे दिया जा सकता है- इडली-दक्षिण-केरल-ओणम्‌-त्योहार-छुट्ठी-आराम...
Answer» कई बार एक शब्द सुनने या पढ़ने पर कोई और शब्द याद आ जाता है। आइए शब्दों की ऐसी कड़ी बनाएँ। नीचे शुरुआत की गई है। उसे आप आगे बढ़ाइए। कक्षा में मौखिक सामूहिक गतिविधि के रूप में भी इसे दिया जा सकता है- इडली-दक्षिण-केरल-ओणम्‌-त्योहार-छुट्ठी-आराम...

11.

कई बार एक शब्द सुनने या पढ़ने पर कोई और शब्द याद आ जाता है। आइए शब्दों की ऐसी कड़ी बनाएँ। नीचे शुरुआत की गई है। उसे आप आगे बढ़ाइए। कक्षा में मौखिक सामूहिक गतिविधि के रूप में भी इसे दिया जा सकता है- इडली-दक्षिण-केरल-ओणम्‌-त्योहार-छुट्ठी-आराम...

Answer»

कई
बार
एक
शब्द
सुनने
या
पढ़ने
पर
कोई
और
शब्द
याद
आ
जाता
है।
आइए
शब्दों
की
ऐसी
कड़ी
बनाएँ।
नीचे
शुरुआत
की
गई
है।
उसे
आप
आगे
बढ़ाइए।

कक्षा
में
मौखिक
सामूहिक
गतिविधि
के
रूप
में
भी
इसे
दिया
जा
सकता
है-

इडली-दक्षिण-केरल-ओणम्‌-त्योहार-छुट्ठी-आराम...

Discussion

12.	Construct a parallelogram ABCD such that l(BC) = 7 cm, m∠ABC = 40°, l(AB) = 3 cm.
Answer» Construct a parallelogram ABCD such that l(BC) = 7 cm, m∠ABC = 40 $°$ , l(AB) = 3 cm.

Discussion

13.	(4+x^2-4x)+25 = (4+x^2+4x)+81 can you please explain in detail please and don't show in short please
Answer» (4+x^2-4x)+25 = (4+x^2+4x)+81 can you please explain in detail please and don't show in short please

Discussion

14.	Which of the following is/are the factor(s) of (x−2y)2−5(x−2y)+6
Answer» Which of the following is/are the factor(s) of $(x - 2 y)^{2} - 5 (x - 2 y) + 6$

14.

Which of the following is/are the factor(s) of (x−2y)2−5(x−2y)+6

Answer»

Which of the following is/are the factor(s) of

$(x - 2 y)^{2} - 5 (x - 2 y) + 6$

Discussion

15.	The number 123456 is not divisible by ____.
Answer» The number 123456 is not divisible by ____.

Discussion

16.

Which areprisms among the following? (i) (ii) (iii) (iv)

Answer»

Which are
prisms among the following?


(i)	(ii)

(iii)	(iv)

Discussion

17.	Question 3 (ii)Prove that 7√5 is irrational.
Answer» Question 3 (ii) Prove that $7 \sqrt{5}$ is irrational.

Discussion

18.	Find the value of (−1+i√3)6 __
Answer» Find the value of $(- 1 + i \sqrt{3})^{6}$ __

Discussion

19.	how x^3+6x^2+11x+6=(x+1)(x+2)(x+3)??
Answer» how x^3+6x^2+11x+6=(x+1)(x+2)(x+3)??

Discussion

20.	Given a parallelogram ABCD. Complete each statement along with the definition or property used.(i) AD = …………(ii)∠DCB=………(iii) OC = ………(iv)m∠DAB+m∠CDA=……..
Answer» Given a parallelogram ABCD. Complete each statement along with the definition or property used. (i) AD = ………… $(i i) ∠ D C B = \dots \dots \dots$ (iii) OC = ……… $(i v) m ∠ D A B + m ∠ C D A = \dots \dots . .$

Discussion

21.	Solvethe linear equation
Answer» Solve the linear equation

Discussion

22.	Two parallel sides of a trapezium are of lengths 57 cm and 39 cm. The distance between the parallel sides is 28 cm. Find the area of the trapezium.
Answer» Two parallel sides of a trapezium are of lengths 57 cm and 39 cm. The distance between the parallel sides is 28 cm. Find the area of the trapezium.

Discussion

23.	Question 18The coefficient of x in the expansion of (x+3)3 isA) 1B) 9C) 18D) 27
Answer» Question 18 The coefficient of x in the expansion of $(x + 3)^{3}$ is A) 1 B) 9 C) 18 D) 27

Discussion

24.	are like terms.
Answer» are like terms.

Discussion

25.	Arjun, Bineet and Karan start at the same time in the same direction to run around a circular stadium. Arjun completes a round in 252 seconds, Bineet in 308 seconds and Karan in 198 seconds, all starting at the same point. After what approximate time will they again at the starting point?
Answer» Arjun, Bineet and Karan start at the same time in the same direction to run around a circular stadium. Arjun completes a round in 252 seconds, Bineet in 308 seconds and Karan in 198 seconds, all starting at the same point. After what approximate time will they again at the starting point?

Discussion

26.	Construct a quadrilateral NEWS in which NE = 7 cm, EW = 6 cm, ∠N=60∘,∠E=110∘ and ∠S=85∘.
Answer» Construct a quadrilateral NEWS in which NE = 7 cm, EW = 6 cm, $∠ N = 60^{\circ}, ∠ E = 110^{\circ}$ and $∠ S = 85^{\circ}$ .

Discussion

27.	A, B, C, D are 4 non collinear points in a plane such that ∠ ACB=∠ ADB, then how many circle(s) can be drawn passing through all 4 points.
Answer» A, B, C, D are 4 non collinear points in a plane such that $∠$ ACB= $∠$ ADB, then how many circle(s) can be drawn passing through all 4 points.

Discussion

28.	If a and b be two sets such that n(A)=15,n(B)= 25, then no. Of possible values of n(AB) is ??
Answer» If a and b be two sets such that n(A)=15,n(B)= 25, then no. Of possible values of n(AB) is ??

Discussion

29.	A can do a piece of work in 14 days which B can do in 21 days. They begin together, but 3 days before the completion of the work, A leaves off. The total number of days to complete the work is
Answer» $A$ can do a piece of work in $14$ days which $B$ can do in $21$ days. They begin together, but $3$ days before the completion of the work, $A$ leaves off. The total number of days to complete the work is

Discussion

30.	48 The maximum number of real roots of the equation X to power 2n - 1 = 0 is . a. cannot exceed 2 b. 3 c. n d. 2
Answer» 48 The maximum number of real roots of the equation X to power 2n - 1 = 0 is . a. cannot exceed 2 b. 3 c. n d. 2

Discussion

31.	The top of a famous building is shown in the diagram. What polygon best represents its shape? [1 MARK]
Answer» The top of a famous building is shown in the diagram. What polygon best represents its shape? [1 MARK]

31.

The top of a famous building is shown in the diagram. What polygon best represents its shape? [1 MARK]

Answer»

The top of a famous building is shown in the diagram. What polygon best represents its shape? [1 MARK]

Discussion

32.	Find the smallest 6 digit which is a perfect number
Answer» Find the smallest 6 digit which is a perfect number

Discussion

33.	Rene ages is 6 years older than her younger sister. After 10 years the sum their ages will be 50 years. Find their present ages .
Answer» Rene ages is 6 years older than her younger sister. After 10 years the sum their ages will be 50 years. Find their present ages .

Discussion

34.	Which of the following pair of sets are not equal?
Answer» Which of the following pair of sets are not equal?

Discussion

35.	If x y = x + y - xy, then 13 7 = __
Answer» If x y = x + y - xy, then 13 7 = __

Discussion

36.	Bisectors of the angles B and C of an isosceles triangle with AB = AC intersect each other at O. BO is produced to a point M. Which of the following is correct?
Answer» Bisectors of the angles B and C of an isosceles triangle with AB = AC intersect each other at O. BO is produced to a point M. Which of the following is correct?

Discussion

37.	45. x³+12x/6x²+8=y³+27y/9y²+27 using components and dividendo find x:y
Answer» 45. x³+12x/6x²+8=y³+27y/9y²+27 using components and dividendo find x:y

Discussion

38.	A square is a parallelogram where diagonals bisect each other to form ___.
Answer» A square is a parallelogram where diagonals bisect each other to form ___.

Discussion

39.	(x2−b)(x−a)(a−x) =
Answer» $\frac{(x^{2} - b) (x - a)}{(a - x)}$ =

Discussion

40.	Question 64The negative of 0 does not exist
Answer» Question 64 The negative of 0 does not exist

Discussion

41.	The regular polygon whose exterior angle is 40∘ is a:
Answer» The regular polygon whose exterior angle is $40^{\circ}$ is a:

Discussion

42.	what is the value of det(adj(AB))
Answer» what is the value of det(adj(AB))

Discussion

43.	Represent the following rational numbers on the number line:
Answer» Represent the following rational numbers on the number line:

43.

Represent the following rational numbers on the number line:

Answer»

Represent the following rational numbers on the number line:

Discussion

44.	43. In triangle XYZ and triangle MNS, XY = XZ, angle Z = angle M and angle Y = angle N. triangle XYZ and triangle MNS are (1) Isosceles and congruent (2) Congruent but not isosceles (3) Isosceles but not congruent (4)neither isosceles nor congruent.
Answer» 43. In triangle XYZ and triangle MNS, XY = XZ, angle Z = angle M and angle Y = angle N. triangle XYZ and triangle MNS are (1) Isosceles and congruent (2) Congruent but not isosceles (3) Isosceles but not congruent (4)neither isosceles nor congruent.

Discussion

45.	Circumference of a circle is 4π then its diameter is.
Answer» Circumference of a circle is 4π then its diameter is.

Discussion

46.	Question 7Write True or False and justify your answer :ABCD is a cyclic quadrilateral such that ∠A = 90°, ∠B = 70°, ∠C = 95° and ∠D = 105°
Answer» Question 7 Write True or False and justify your answer : ABCD is a cyclic quadrilateral such that ∠A = 90°, ∠B = 70°, ∠C = 95° and ∠D = 105°

Discussion

47.	At a get together 22 people shake their hands with each other . How many handshakes took place in all?
Answer» At a get together 22 people shake their hands with each other . How many handshakes took place in all?

Discussion

48.	35 inches of a cardboard sheet is lost as scrap. What is the useful length in inches if the sheet is 6 meters long?
Answer» $35 inches of a cardboard sheet is lost$ $as scrap.$ $What is the useful length in inches if$ $the sheet is 6 meters long?$

Discussion

49.	What is the sum of all interior angles of the polygon having n number of sides.
Answer» What is the sum of all interior angles of the polygon having $n$ number of sides.

Discussion

50.	A quadrilateral has three acute angle,each measuring75degree. Find its fourth angle.
Answer» A quadrilateral has three acute angle,each measuring75degree. Find its fourth angle.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The square of 3015 is

Find the median for the following frequency distribution table: Class-intervals 0 - 5 5 -10 10 - 15 15 - 20 20 - 25 25 - 30 Frequency 5 3 9 10 8 5

If x100+2x99+k is divisible by (x+1), then the value of k is:

Substituting x=−3 in (x2)−5x gives ___

Find the value of 7−3.

Factorise :(x−2y)2−4x+8y

In the adjacent rectangle ABCD, ∠OCD = 30°. Calculate ∠BOC. What type of triangle is BOC?

There is a thin metal plate of length and breadth 2M mm and 2K mm respectively. Its thickness is 1 mm. If ‘N′ number of plates are placed one on top of the other, what is the object formed and what is its volume in mm3?

Question 1 - In the new budget, the price of petrol rose by 10%. By how much per cent must one reduce the consumption so that the expenditure does not increase?

Value of n^0 where n not equal to zero is always ___.

Construct a parallelogram ABCD such that l(BC) = 7 cm, m∠ABC = 40°, l(AB) = 3 cm.

(4+x^2-4x)+25 = (4+x^2+4x)+81 can you please explain in detail please and don't show in short please

Which of the following is/are the factor(s) of (x−2y)2−5(x−2y)+6

The number 123456 is not divisible by ____.

Which areprisms among the following? (i) (ii) (iii) (iv)

Question 3 (ii)Prove that 7√5 is irrational.

Find the value of (−1+i√3)6 __

how x^3+6x^2+11x+6=(x+1)(x+2)(x+3)??

Given a parallelogram ABCD. Complete each statement along with the definition or property used.(i) AD = …………(ii)∠DCB=………(iii) OC = ………(iv)m∠DAB+m∠CDA=……..

Solvethe linear equation

Two parallel sides of a trapezium are of lengths 57 cm and 39 cm. The distance between the parallel sides is 28 cm. Find the area of the trapezium.

Question 18The coefficient of x in the expansion of (x+3)3 isA) 1B) 9C) 18D) 27

are like terms.

Arjun, Bineet and Karan start at the same time in the same direction to run around a circular stadium. Arjun completes a round in 252 seconds, Bineet in 308 seconds and Karan in 198 seconds, all starting at the same point. After what approximate time will they again at the starting point?

Construct a quadrilateral NEWS in which NE = 7 cm, EW = 6 cm, ∠N=60∘,∠E=110∘ and ∠S=85∘.

A, B, C, D are 4 non collinear points in a plane such that ∠ ACB=∠ ADB, then how many circle(s) can be drawn passing through all 4 points.

If a and b be two sets such that n(A)=15,n(B)= 25, then no. Of possible values of n(AB) is ??

A can do a piece of work in 14 days which B can do in 21 days. They begin together, but 3 days before the completion of the work, A leaves off. The total number of days to complete the work is

48 The maximum number of real roots of the equation X to power 2n - 1 = 0 is . a. cannot exceed 2 b. 3 c. n d. 2

The top of a famous building is shown in the diagram. What polygon best represents its shape? [1 MARK]

Find the smallest 6 digit which is a perfect number

Rene ages is 6 years older than her younger sister. After 10 years the sum their ages will be 50 years. Find their present ages .

Which of the following pair of sets are not equal?

If x y = x + y - xy, then 13 7 = __

Bisectors of the angles B and C of an isosceles triangle with AB = AC intersect each other at O. BO is produced to a point M. Which of the following is correct?

45. x³+12x/6x²+8=y³+27y/9y²+27 using components and dividendo find x:y

A square is a parallelogram where diagonals bisect each other to form ___.

(x2−b)(x−a)(a−x) =

Question 64The negative of 0 does not exist

The regular polygon whose exterior angle is 40∘ is a:

what is the value of det(adj(AB))

Represent the following rational numbers on the number line:

43. In triangle XYZ and triangle MNS, XY = XZ, angle Z = angle M and angle Y = angle N. triangle XYZ and triangle MNS are (1) Isosceles and congruent (2) Congruent but not isosceles (3) Isosceles but not congruent (4)neither isosceles nor congruent.

Circumference of a circle is 4π then its diameter is.

Question 7Write True or False and justify your answer :ABCD is a cyclic quadrilateral such that ∠A = 90°, ∠B = 70°, ∠C = 95° and ∠D = 105°

At a get together 22 people shake their hands with each other . How many handshakes took place in all?

35 inches of a cardboard sheet is lost as scrap. What is the useful length in inches if the sheet is 6 meters long?

What is the sum of all interior angles of the polygon having n number of sides.

A quadrilateral has three acute angle,each measuring75degree. Find its fourth angle.