25365 + Interview Questions in Mathematics

1.	Find the number of prime factors of 5005.
Answer» Find the number of prime factors of 5005.

Discussion

2.	If Alex drives at 52 miles per hour for 8 hours, how far does he travel?
Answer» If Alex drives at 52 miles per hour for 8 hours, how far does he travel?

Discussion

3.	Which of the following graph represents the x-intercept and y-intercept correctly?
Answer» Which of the following graph represents the $x$ -intercept and $y$ -intercept correctly?

Discussion

4.	In a parallelogram, the ___ bisect each other.
Answer» In a parallelogram, the ___ bisect each other.

Discussion

5.	Which of these is not a perfect cube?
Answer» Which of these is not a perfect cube?

Discussion

6.	56c−10c2 is subtracted from the sum of 10c2 and (−96c2−23c). Find the desired result.
Answer» $56 c - 10 c^{2}$ is subtracted from the sum of $10 c^{2}$ and $(- 96 c^{2} - 23 c)$ . Find the desired result.

Discussion

7.	Construct an equilateral triangle of height 4.5 cm. Measure approximate length of the its side.
Answer» Construct an equilateral triangle of height 4.5 cm. Measure approximate length of the its side.

Discussion

8.	Sumit gets 5% as his share of the profit earned by a company in which he is a share holder. What is the total profit of the company if his share comes to ₹5000?
Answer» Sumit gets 5% as his share of the profit earned by a company in which he is a share holder. What is the total profit of the company if his share comes to ₹5000?

Discussion

9.	Question 124(ii)Name the property used in each of the following:−23×[34+−12]=[−23×34]+[−23×−12]
Answer» Question 124(ii) Name the property used in each of the following: $\frac{- 2}{3} \times [\frac{3}{4} + \frac{- 1}{2}] = [\frac{- 2}{3} \times \frac{3}{4}] + [\frac{- 2}{3} \times \frac{- 1}{2}]$

Discussion

10.	Question 75(i)The table shows the data collected for Dhruv's walking on a road.Time(in minutes)0510152025Distance(in km)00.511.251.51.75Plot a line graph for the given data using a suitable scale.
Answer» Question 75(i) The table shows the data collected for Dhruv's walking on a road. $\begin{matrix} T i m e (i n m i n u t e s) & 0 & 5 & 10 & 15 & 20 & 25 D i s t a n c e (i n k m) & 0 & 0.5 & 1 & 1.25 & 1.5 & 1.75 \end{matrix}$ Plot a line graph for the given data using a suitable scale.

Discussion

11.	Find the top view of the figure below.
Answer» Find the top view of the figure below.

Discussion

12.	If 2x + 3y = 8 and xy = 2, find the value of 4x2 + 9y2
Answer» If 2x + 3y = 8 and xy = 2, find the value of 4x² + 9y²

Discussion

13.	Question 4 (vi) Find the square roots of the following numbers by the Prime Factorizationmethod: 9604
Answer» Question 4 (vi) Find the square roots of the following numbers by the Prime Factorizationmethod: 9604

13.

Question 4 (vi) Find the square roots of the following numbers by the Prime Factorizationmethod: 9604

Answer»

Question 4 (vi)
Find the square roots of the following numbers by the Prime Factorizationmethod:

9604

Discussion

14.	Question 39 Fill in the blank to make the statement true 340900000=3.409×__
Answer» Question 39 Fill in the blank to make the statement true $340900000 = 3.409 \times__$

14.

Question 39 Fill in the blank to make the statement true 340900000=3.409×__

Answer»

Question 39

Fill in the blank to make the statement true
$340900000 = 3.409 \times__$

Discussion

15.	Question 92 (x)Factorise the following using the identity a2−b2=(a+b)(a−b).49x2−36y2
Answer» Question 92 (x) Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$ $49 x^{2} - 36 y^{2}$

15.

Question 92 (x)Factorise the following using the identity a2−b2=(a+b)(a−b).49x2−36y2

Answer»

Question 92 (x)

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

$49 x^{2} - 36 y^{2}$

Discussion

16.	Evaluate : (2x−3)2
Answer» Evaluate : $(2 x - 3)^{2}$

Discussion

17.	The reciprocal of -10 is
Answer» The reciprocal of -10 is

Discussion

18.	Which of the following figures lie on the same parallels?
Answer» Which of the following figures lie on the same parallels?

Discussion

19.	Andy spent Rs. 450 in fencing the parallelogram shaped land (leaving 1 m for the gate) that he had before. If Andy would start from a point 5 m away from A (on side AB) and take the shortest possible path to the opposite side, he would reach exactly at D. As you know Land Grabbers restructured Andy’s land to be a rectangle having the same base and same width. Find the cost of fencing the new land in the same way at Rs. 6 /m.
Answer» Andy spent Rs. 450 in fencing the parallelogram shaped land (leaving 1 m for the gate) that he had before. If Andy would start from a point 5 m away from A (on side AB) and take the shortest possible path to the opposite side, he would reach exactly at D. As you know Land Grabbers restructured Andy’s land to be a rectangle having the same base and same width. Find the cost of fencing the new land in the same way at Rs. 6 /m.

19.

Andy spent Rs. 450 in fencing the parallelogram shaped land (leaving 1 m for the gate) that he had before. If Andy would start from a point 5 m away from A (on side AB) and take the shortest possible path to the opposite side, he would reach exactly at D. As you know Land Grabbers restructured Andy’s land to be a rectangle having the same base and same width. Find the cost of fencing the new land in the same way at Rs. 6 /m.

Answer»

Andy spent Rs. 450 in fencing the parallelogram shaped land (leaving 1 m for the gate) that he had before. If Andy would start from a point 5 m away from A (on side AB) and take the shortest possible path to the opposite side, he would reach exactly at D. As you know Land Grabbers restructured Andy’s land to be a rectangle having the same base and same width. Find the cost of fencing the new land in the same way at Rs. 6 /m.

Discussion

20.	If a + b = 10 and ab = 21, find the value of a3 + b3
Answer» If a + b = 10 and ab = 21, find the value of a³ + b³

Discussion

21.	Fill in the BlanksQuestion 24In the coordinates of a point, the second number denotes the ___.
Answer» Fill in the Blanks Question 24 In the coordinates of a point, the second number denotes the ___.

Discussion

22.	A rectangle has length which is 5 cm less than twice its breadth. If the length is decreased by 5 cm and breadth is increased by 2 cm, the perimeter of the resulting rectangle will be 74 cm. Find the length and breadth of the original rectangle.
Answer» A rectangle has length which is 5 cm less than twice its breadth. If the length is decreased by 5 cm and breadth is increased by 2 cm, the perimeter of the resulting rectangle will be 74 cm. Find the length and breadth of the original rectangle.

Discussion

23.	Median is a line joining the ________ to the midpoint of the opposite side.
Answer» Median is a line joining the ________ to the midpoint of the opposite side.

Discussion

24.	In the given figure ar(△ BUG) is equal to ar(△ CUP),then prove that BU = CU and BC isparallel to PG.
Answer» $In the given figure ar (△ B U G) is equal to ar (△ C U P), then prove that BU = CU and BC is parallel to PG.$

Discussion

25.	Divide (6ab−b2+12ac−2bc) by (6a−b).
Answer» Divide $(6 a b - b^{2} + 12 a c - 2 b c) b y (6 a - b)$ .

Discussion

26.	The minimum positive value of ( x ^2+ 2 X + 4 / X + 2)
Answer» The minimum positive value of ( x ^2+ 2 X + 4 / X + 2)

Discussion

27.	Question 14213 and 31 is a strange pair of numbers, such that their squares 169 and 961 are also a mirror image of each other. Can you find two other such pairs?
Answer» Question 142 13 and 31 is a strange pair of numbers, such that their squares 169 and 961 are also a mirror image of each other. Can you find two other such pairs?

27.

Question 14213 and 31 is a strange pair of numbers, such that their squares 169 and 961 are also a mirror image of each other. Can you find two other such pairs?

Answer»

Question 142

13 and 31 is a strange pair of numbers, such that their squares 169 and 961 are also a mirror image of each other. Can you find two other such pairs?

Discussion

28.	Let be two rays and let be a ray between and such that ∠AOX > ∠XOB.Let be the bisector of ∠AOB. Prove that ∠AOX − ∠XOB = 2∠COX.
Answer» Let be two rays and let be a ray between and such that ∠AOX > ∠XOB. Let be the bisector of ∠AOB. Prove that ∠AOX − ∠XOB = 2∠COX.

28.

Let be two rays and let be a ray between and such that ∠AOX > ∠XOB.Let be the bisector of ∠AOB. Prove that ∠AOX − ∠XOB = 2∠COX.

Answer»

Let be two rays and let be a ray between and such that ∠AOX > ∠XOB.

Let be the bisector of ∠AOB. Prove that ∠AOX − ∠XOB = 2∠COX.

Discussion

29.	Question 49Answer True/False.a=3 is a solution of the equation 2a−1=5.
Answer» Question 49 Answer True/False. $a = 3$ is a solution of the equation $2 a - 1 = 5$ .

29.

Question 49Answer True/False.a=3 is a solution of the equation 2a−1=5.

Answer»

Question 49

Answer True/False.

$a = 3$ is a solution of the equation $2 a - 1 = 5$ .

Discussion

30.	The decimal expansion of rational number pq is terminating if q is in the form 2n×5m. My question is, if q is only in the form 2nor5m then will it be a terminating rational number?
Answer» The decimal expansion of rational number $\frac{p}{q}$ is terminating if q is in the form $2^{n} \times 5^{m}$ . My question is, if q is only in the form $2^{n} o r 5^{m}$ then will it be a terminating rational number?

Discussion

31.	Solve using properties 1/7×2/9-3/14×1/9+2/9×1/14 .
Answer» Solve using properties 1/7×2/9-3/14×1/9+2/9×1/14 .

Discussion

32.	39 men can build a bridge in 12 days, working 5 hours a day. In how many days will 30 men, working 6 hours a day, complete the work?
Answer» 39 men can build a bridge in 12 days, working 5 hours a day. In how many days will 30 men, working 6 hours a day, complete the work?

Discussion

33.	Find the principal of the interest compounded annually at the rate of 10% for two years is Rs. 210.
Answer» Find the principal of the interest compounded annually at the rate of $10 %$ for two years is Rs. 210.

Discussion

34.	Rhombus PQRS is inscribed in rec†an gle ABCD so thatthe P,Q,R,S are interior points on sides AB,BC,CD,DA respectively .It is given that PB=15cm,BQ=20cm ,PA=30cm,and QS=40cm .what is the perimeter of ABCD
Answer» Rhombus PQRS is inscribed in rec†an gle ABCD so thatthe P,Q,R,S are interior points on sides AB,BC,CD,DA respectively .It is given that PB=15cm,BQ=20cm ,PA=30cm,and QS=40cm .what is the perimeter of ABCD

Discussion

35.	The bar graph shows the favourite colours of 20 students in a class. How many more favoured orange than green?
Answer» The bar graph shows the favourite colours of 20 students in a class. How many more favoured orange than green?

35.

The bar graph shows the favourite colours of 20 students in a class. How many more favoured orange than green?

Answer»

The bar graph shows the favourite colours of 20 students in a class. How many more favoured orange than green?

Discussion

36.	Question 9Find the values of the letters in the following and give reasons for the steps involved. 2 A B + A B 1––––––––––––– B 1 8–––––––––
Answer» Question 9 Find the values of the letters in the following and give reasons for the steps involved. $2 A B$ $+ A B 1 - ----------- -$ $B 18 - ------- -$

Discussion

37.	one boy can deliver newspapers on his route in 1 1/4 hours. Another boy who takes his place one day takes 15 mins loger to deliver these papers how long would it take to deliver the papers if the two boys worked together
Answer» one boy can deliver newspapers on his route in 1 1/4 hours. Another boy who takes his place one day takes 15 mins loger to deliver these papers how long would it take to deliver the papers if the two boys worked together

Discussion

38.	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. Then which of the following options 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. Then which of the following options is correct?

Discussion

39.	Outcome123456Frequency222018161412 What is the probability of occurrence of 1 or 2 or 3 or 4 or 5 or 6?
Answer» $\begin{matrix} O u t c o m e & 1 & 2 & 3 & 4 & 5 & 6 F r e q u e n c y & 22 & 20 & 18 & 16 & 14 & 12 \end{matrix}$ What is the probability of occurrence of 1 or 2 or 3 or 4 or 5 or 6?

39.

Outcome123456Frequency222018161412 What is the probability of occurrence of 1 or 2 or 3 or 4 or 5 or 6?

Answer»

$\begin{matrix} O u t c o m e & 1 & 2 & 3 & 4 & 5 & 6 F r e q u e n c y & 22 & 20 & 18 & 16 & 14 & 12 \end{matrix}$

What is the probability of occurrence of 1 or 2 or 3 or 4 or 5 or 6?

Discussion

40.	If A(1,2), B(-3,2) and C(3,-2) be the vertices of a triangle ABC, show that tan A=2
Answer» If A(1,2), B(-3,2) and C(3,-2) be the vertices of a triangle ABC, show that tan A=2

Discussion

41.	What fraction of the wall is coloured yellow?
Answer» What fraction of the wall is coloured yellow?

Discussion

42.	A grocer bought sugar worth Rs.4500 . He sold one-third of it at again of 10% . At what gain per cent must the remaining sugar be sold to have a gain of 12% on the whole?
Answer» A grocer bought sugar worth $R s . 4500$ . He sold one-third of it at again of $10 %$ . At what gain per cent must the remaining sugar be sold to have a gain of $12 %$ on the whole?

Discussion

43.	Dileep and Manoj deposited the same amount under different schemes giving 10% interest. Dileep gets only simple interest, while Manoj gets interest compounded annually. After 2 years, Manoj had 50 rupees more than Dileep. How much money did each deposit?
Answer» Dileep and Manoj deposited the same amount under different schemes giving 10% interest. Dileep gets only simple interest, while Manoj gets interest compounded annually. After 2 years, Manoj had 50 rupees more than Dileep. How much money did each deposit?

Discussion

44.	72 as a product of its prime factors can be represented as ______ .
Answer» 72 as a product of its prime factors can be represented as ______ .

Discussion

45.	Question 89 (ii)Factorise the following, using the identity, a2+2ab+b2=(a+b)2x2+12x+36
Answer» Question 89 (ii) Factorise the following, using the identity, $a^{2} + 2 a b + b^{2} = (a + b)^{2}$ $x^{2} + 12 x + 36$

Discussion

46.	Sum of the digits of a two digit number is 5 and difference of the digits is 1. Also, the tens place is greater than the unit place digit. The number is .
Answer» Sum of the digits of a two digit number is 5 and difference of the digits is 1. Also, the tens place is greater than the unit place digit. The number is .

Discussion

47.	Write down formula for Compound Interest ?
Answer» Write down formula for Compound Interest ?

Discussion

48.	Question 86 (xiii) Using suitable identities, evaluate the following: (9.9)2
Answer» Question 86 (xiii) Using suitable identities, evaluate the following: $(9.9)^{2}$

48.

Question 86 (xiii) Using suitable identities, evaluate the following: (9.9)2

Answer»

Question 86 (xiii)

Using suitable identities, evaluate the following:

$(9.9)^{2}$

Discussion

49.	Question 79 Find the area of the shaded portion in the following figure.
Answer» Question 79 Find the area of the shaded portion in the following figure.

49.

Question 79 Find the area of the shaded portion in the following figure.

Answer»

Question 79

Find the area of the shaded portion in the following figure.

Discussion

50.	What is the amount obtained by depositing 12,500 at 8% simple interest per annum for 5 years?17500
Answer» What is the amount obtained by depositing 12,500 at 8% simple interest per annum for 5 years? 17500

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Find the number of prime factors of 5005.

If Alex drives at 52 miles per hour for 8 hours, how far does he travel?

Which of the following graph represents the x-intercept and y-intercept correctly?

In a parallelogram, the ___ bisect each other.

Which of these is not a perfect cube?

56c−10c2 is subtracted from the sum of 10c2 and (−96c2−23c). Find the desired result.

Construct an equilateral triangle of height 4.5 cm. Measure approximate length of the its side.

Sumit gets 5% as his share of the profit earned by a company in which he is a share holder. What is the total profit of the company if his share comes to ₹5000?

Question 124(ii)Name the property used in each of the following:−23×[34+−12]=[−23×34]+[−23×−12]

Question 75(i)The table shows the data collected for Dhruv's walking on a road.Time(in minutes)0510152025Distance(in km)00.511.251.51.75Plot a line graph for the given data using a suitable scale.

Find the top view of the figure below.

If 2x + 3y = 8 and xy = 2, find the value of 4x2 + 9y2

Question 4 (vi) Find the square roots of the following numbers by the Prime Factorizationmethod: 9604

Question 39 Fill in the blank to make the statement true 340900000=3.409×__

Question 92 (x)Factorise the following using the identity a2−b2=(a+b)(a−b).49x2−36y2

Evaluate : (2x−3)2

The reciprocal of -10 is

Which of the following figures lie on the same parallels?

If a + b = 10 and ab = 21, find the value of a3 + b3

Fill in the BlanksQuestion 24In the coordinates of a point, the second number denotes the ___.

A rectangle has length which is 5 cm less than twice its breadth. If the length is decreased by 5 cm and breadth is increased by 2 cm, the perimeter of the resulting rectangle will be 74 cm. Find the length and breadth of the original rectangle.

Median is a line joining the ________ to the midpoint of the opposite side.

In the given figure ar(△ BUG) is equal to ar(△ CUP),then prove that BU = CU and BC isparallel to PG.

Divide (6ab−b2+12ac−2bc) by (6a−b).

The minimum positive value of ( x ^2+ 2 X + 4 / X + 2)

Question 14213 and 31 is a strange pair of numbers, such that their squares 169 and 961 are also a mirror image of each other. Can you find two other such pairs?

Let be two rays and let be a ray between and such that ∠AOX &gt; ∠XOB.Let be the bisector of ∠AOB. Prove that ∠AOX − ∠XOB = 2∠COX.

Question 49Answer True/False.a=3 is a solution of the equation 2a−1=5.

The decimal expansion of rational number pq is terminating if q is in the form 2n×5m. My question is, if q is only in the form 2nor5m then will it be a terminating rational number?

Solve using properties 1/7×2/9-3/14×1/9+2/9×1/14 .

39 men can build a bridge in 12 days, working 5 hours a day. In how many days will 30 men, working 6 hours a day, complete the work?

Find the principal of the interest compounded annually at the rate of 10% for two years is Rs. 210.

Rhombus PQRS is inscribed in rec†an gle ABCD so thatthe P,Q,R,S are interior points on sides AB,BC,CD,DA respectively .It is given that PB=15cm,BQ=20cm ,PA=30cm,and QS=40cm .what is the perimeter of ABCD

The bar graph shows the favourite colours of 20 students in a class. How many more favoured orange than green?

Question 9Find the values of the letters in the following and give reasons for the steps involved. 2 A B + A B 1––––––––––––– B 1 8–––––––––

one boy can deliver newspapers on his route in 1 1/4 hours. Another boy who takes his place one day takes 15 mins loger to deliver these papers how long would it take to deliver the papers if the two boys worked together

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. Then which of the following options is correct?

Outcome123456Frequency222018161412 What is the probability of occurrence of 1 or 2 or 3 or 4 or 5 or 6?

If A(1,2), B(-3,2) and C(3,-2) be the vertices of a triangle ABC, show that tan A=2

What fraction of the wall is coloured yellow?

A grocer bought sugar worth Rs.4500 . He sold one-third of it at again of 10% . At what gain per cent must the remaining sugar be sold to have a gain of 12% on the whole?

Dileep and Manoj deposited the same amount under different schemes giving 10% interest. Dileep gets only simple interest, while Manoj gets interest compounded annually. After 2 years, Manoj had 50 rupees more than Dileep. How much money did each deposit?

72 as a product of its prime factors can be represented as ______ .

Question 89 (ii)Factorise the following, using the identity, a2+2ab+b2=(a+b)2x2+12x+36

Sum of the digits of a two digit number is 5 and difference of the digits is 1. Also, the tens place is greater than the unit place digit. The number is .

Write down formula for Compound Interest ?

Question 86 (xiii) Using suitable identities, evaluate the following: (9.9)2

Question 79 Find the area of the shaded portion in the following figure.

What is the amount obtained by depositing 12,500 at 8% simple interest per annum for 5 years?17500

Let be two rays and let be a ray between and such that ∠AOX > ∠XOB.Let be the bisector of ∠AOB. Prove that ∠AOX − ∠XOB = 2∠COX.