25365 + Interview Questions in Mathematics

1.	A number which can be represented in the form of pq, q≠0 where p and q are integers is called a ___ number.
Answer» A number which can be represented in the form of $\frac{p}{q}, q \neq 0$ where p and q are integers is called a ___ number.

Discussion

2.	The graph below shows average height of girls at different ages. What will be the age of the girl whose height is 65 inches?
Answer» The graph below shows average height of girls at different ages. What will be the age of the girl whose height is 65 inches?

2.

The graph below shows average height of girls at different ages. What will be the age of the girl whose height is 65 inches?

Answer»

The graph below shows average height of girls at different ages. What will be the age of the girl whose height is 65 inches?

Discussion

3.	The total number of terms in (x+2)132+(x−2)132 is
Answer» The total number of terms in $(x + 2)^{132} + (x - 2)^{132}$ is

Discussion

4.	Question 63(iv)The table given below shows the temperatures recorded on a day at different times.Observe the graph and answer the following questions.What is the change in temperature between 7 AM and 10 AM?
Answer» Question 63(iv) The table given below shows the temperatures recorded on a day at different times. Observe the graph and answer the following questions. What is the change in temperature between 7 AM and 10 AM?

Discussion

5.	The distribution below gives the weights of 30 students of a class. Find the median weight of the students. Weight (in kg)40−4545−5050−5555−6060−6565−7070−75Number of students 2386632
Answer» The distribution below gives the weights of 30 students of a class. Find the median weight of the students. $\begin{matrix} W e i g h t (i n k g) & 40 - 45 & 45 - 50 & 50 - 55 & 55 - 60 & 60 - 65 & 65 - 70 & 70 - 75 N u m b e r o f s t u d e n t s & 2 & 3 & 8 & 6 & 6 & 3 & 2 \end{matrix}$

Discussion

6.	What will be the quotient and remainder if (a4−a3+a2−a+1)÷(a3−2)?
Answer» What will be the quotient and remainder if $(a^{4} - a^{3} + a^{2} - a + 1) \div (a^{3} - 2)$ ?

Discussion

7.	Question 1(iv)State whether the number given below is a perfect cube or not:100
Answer» Question 1(iv) State whether the number given below is a perfect cube or not: 100

7.

Question 1(iv)State whether the number given below is a perfect cube or not:100

Answer»

Question 1(iv)

State whether the number given below is a perfect cube or not:

100

Discussion

8.	32. In the adjoining figure ABCD is a parallelogram in which E and are the midpoints of AB and CD respectively. If GH is a line segment that cuts AD, EF and BC at G,P Andy respectively , prove that GP = PH
Answer» 32. In the adjoining figure ABCD is a parallelogram in which E and are the midpoints of AB and CD respectively. If GH is a line segment that cuts AD, EF and BC at G,P Andy respectively , prove that GP = PH

Discussion

9.	Suppose p/q is a positive rational in its lowest form. Prove that is also in its lowest form.
Answer» Suppose p/q is a positive rational in its lowest form. Prove that is also in its lowest form.

Discussion

10.	The cost of one food packet is ₹ 45 with a fixed delivery charge of ₹10 . The total cost for y number of food packets is given by : a) 45 + 10y b) 45 + 10 + y c) 45y + 10 d) 45 - 10y
Answer» The cost of one food packet is ₹ 45 with a fixed delivery charge of ₹10 . The total cost for y number of food packets is given by : a) 45 + 10y b) 45 + 10 + y c) 45y + 10 d) 45 - 10y

10.

The cost of one food packet is ₹ 45 with a fixed delivery charge of ₹10 . The total cost for y number of food packets is given by : a) 45 + 10y b) 45 + 10 + y c) 45y + 10 d) 45 - 10y

Answer»

The cost of one food packet is ₹ 45 with a fixed delivery charge of ₹10 . The total cost for y number of food packets is given by :

a) 45 + 10y

b) 45 + 10 + y

c) 45y + 10

d) 45 - 10y

Discussion

11.	Question 5Explain why a rectangle is a convex quadrilateral.
Answer» Question 5 Explain why a rectangle is a convex quadrilateral.

Discussion

12.	What is the remainder when 1591 is divided by 1000?
Answer» What is the remainder when 1591 is divided by 1000?

Discussion

13.	Choose the correct statements from the following: Statement 1: All the parallelograms having the same base and lying between the same parallels have equal areas. Statement 2: All the parallelograms having the same base and lying between the same parallels have different perimeters. Statement 3: Of all the parallelograms having the same base and lying between same parallels, the rectangle will have the smallest perimeter. Statement 4: All the parallelograms having equal areas must have the same base but they may or may not lie between the same parallels.
Answer» Choose the correct statements from the following: Statement 1: All the parallelograms having the same base and lying between the same parallels have equal areas. Statement 2: All the parallelograms having the same base and lying between the same parallels have different perimeters. Statement 3: Of all the parallelograms having the same base and lying between same parallels, the rectangle will have the smallest perimeter. Statement 4: All the parallelograms having equal areas must have the same base but they may or may not lie between the same parallels.

13.

Choose the correct statements from the following: Statement 1: All the parallelograms having the same base and lying between the same parallels have equal areas. Statement 2: All the parallelograms having the same base and lying between the same parallels have different perimeters. Statement 3: Of all the parallelograms having the same base and lying between same parallels, the rectangle will have the smallest perimeter. Statement 4: All the parallelograms having equal areas must have the same base but they may or may not lie between the same parallels.

Answer»

Choose the correct statements from the following:

Statement 1: All the parallelograms having the same base and lying between the same parallels have equal areas.

Statement 2: All the parallelograms having the same base and lying between the same parallels have different perimeters.

Statement 3: Of all the parallelograms having the same base and lying between same parallels, the rectangle will have the smallest perimeter.

Statement 4: All the parallelograms having equal areas must have the same base but they may or may not lie between the same parallels.

Discussion

14.	What will be the number of digits in the cube of 5000?
Answer» What will be the number of digits in the cube of 5000?

Discussion

15.	Multiply the additive inverse of −192 with the reciprocal of 38.
Answer» Multiply the additive inverse of $\frac{- 19}{2}$ with the reciprocal of $38$ .

Discussion

16.	The original cost of furniture amounted to ₹ 4,000 and it is decided to write off 5% on the original cost as Depreciation at the end of each year. Show the Ledger Account as it will appear during the first four years. Show also how the same account will appear if it was decided to write off 5% p.a. on the diminishing balance of the asset each year.
Answer» The original cost of furniture amounted to ₹ 4,000 and it is decided to write off 5% on the original cost as Depreciation at the end of each year. Show the Ledger Account as it will appear during the first four years. Show also how the same account will appear if it was decided to write off 5% p.a. on the diminishing balance of the asset each year.

Discussion

17.	Find out if it is possible with each interior angle equal to 105°
Answer» Find out if it is possible with each interior angle equal to 105°

Discussion

18.	Nine times a two digit number is the same as twice the number obtained by interchanging the digit of the number. If one digit of the number exceeds the other number by 7 find number
Answer» Nine times a two digit number is the same as twice the number obtained by interchanging the digit of the number. If one digit of the number exceeds the other number by 7 find number

Discussion

19.	The value of x which satisfies the equation ax+b=0,a≠0 is known as ________. Fill in the blank with the correct option.
Answer» The value of x which satisfies the equation $a x + b = 0, a \neq 0$ is known as ________. Fill in the blank with the correct option.

Discussion

20.	Find the value of: 112
Answer» Find the value of: $11^{2}$

Discussion

21.	Pratik has a R.D. account and deposited Rs.800 per month. If the maturity value of this account was Rs. 33240 and the rate of interest was 10% per annum. Find the time (in years) for which the account was held.
Answer» Pratik has a R.D. account and deposited Rs.800 per month. If the maturity value of this account was Rs. 33240 and the rate of interest was 10% per annum. Find the time (in years) for which the account was held.

Discussion

22.	Question 1 (ii)What will be the unit digit of the squares of the following number:272
Answer» Question 1 (ii) What will be the unit digit of the squares of the following number: 272

22.

Question 1 (ii)What will be the unit digit of the squares of the following number:272

Answer»

Question 1 (ii)

What will be the unit digit of the squares of the following number:

272

Discussion

23.	Triangle ABC is reflected through the mirror XY as shown in the figure. Then which among the given options is congruent to triangle ABC?
Answer» Triangle ABC is reflected through the mirror XY as shown in the figure. Then which among the given options is congruent to triangle ABC?

23.

Triangle ABC is reflected through the mirror XY as shown in the figure. Then which among the given options is congruent to triangle ABC?

Answer»

Triangle ABC is reflected through the mirror XY as shown in the figure. Then which among the given options is congruent to triangle ABC?

Discussion

24.	A letter is chosen at random from the word 'ENTERTAINMENT. Find the probability that the chosen letter is a vowel.
Answer» A letter is chosen at random from the word 'ENTERTAINMENT. Find the probability that the chosen letter is a vowel.

Discussion

25.	The angles of a quadrilateral are 110∘, 72∘, 55∘ and x∘. Find the value of x.
Answer» The angles of a quadrilateral are $110^{\circ},$ $72^{\circ},$ $55^{\circ}$ and $x^{\circ}$ . Find the value of x.

Discussion

26.	Construct triangle ABC in which BC = 5 cm, AB − AC = 2.8 cm and ∠B = 40°.
Answer» Construct triangle ABC in which BC = 5 cm, AB − AC = 2.8 cm and ∠B = 40°.

Discussion

27.	In the given figure, ABCD is a quadrilateral and AO and DO are bisectors of ∠A and ∠D. The value of 'x ' is
Answer» In the given figure, ABCD is a quadrilateral and AO and DO are bisectors of $∠ A a n d ∠ D$ . The value of 'x ' is

Discussion

28.	Express 1√6 in decimal form up to one decimal place using approximation.
Answer» Express $\frac{1}{\sqrt{6}}$ in decimal form up to one decimal place using approximation.

Discussion

29.	Question 12 (iii)A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 (see figure) and these are equally likely outcomes. What is the probability that it will point at a number greater than 2?
Answer» Question 12 (iii) A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 (see figure) and these are equally likely outcomes. What is the probability that it will point at a number greater than 2?

Discussion

30.	Let A [1...n] be any array of n distinct numbers, If i < j and A [i] > A[j], then the pair (i,j) is called an inversion of A. What is the expected number of inversion in any permutation on n elements?
Answer» Let A [1...n] be any array of n distinct numbers, If i < j and A [i] > A[j], then the pair (i,j) is called an inversion of A. What is the expected number of inversion in any permutation on n elements?

Discussion

31.	Three numbers are in the ratio 1 : 2 : 3. The sum of their cubes is 98784. Find the numbers.
Answer» Three numbers are in the ratio 1 : 2 : 3. The sum of their cubes is 98784. Find the numbers.

Discussion

32.	(− 1) (− 1) (− 1) (− 1) (− 1) = ...............
Answer» (− 1) (− 1) (− 1) (− 1) (− 1) = ...............

Discussion

33.	Question 6What is the probability of choosing a vowel from the alphabets?(a) 2126(b) 526(c) 126(d) 326
Answer» Question 6 What is the probability of choosing a vowel from the alphabets? (a) $\frac{21}{26}$ (b) $\frac{5}{26}$ (c) $\frac{1}{26}$ (d) $\frac{3}{26}$

33.

Question 6What is the probability of choosing a vowel from the alphabets?(a) 2126(b) 526(c) 126(d) 326

Answer»

Question 6

What is the probability of choosing a vowel from the alphabets?

(a) $\frac{21}{26}$

(b) $\frac{5}{26}$

(c) $\frac{1}{26}$

(d) $\frac{3}{26}$

Discussion

34.	A, B, C and D were partners in a firm sharing profits and losses in the ratio of 3 : 2 : 2 : 1. On 1st April, 2018, D retired and the new profit sharing ratio decided was 3 : 1 : 1. On D's retirement the goodwill of the firm was valued at Rs 3,60,000. Pass the necessary Journal entry in the books of the firm at the time of D's retirement.
Answer» A, B, C and D were partners in a firm sharing profits and losses in the ratio of 3 : 2 : 2 : 1. On 1st April, 2018, D retired and the new profit sharing ratio decided was 3 : 1 : 1. On D's retirement the goodwill of the firm was valued at Rs 3,60,000. Pass the necessary Journal entry in the books of the firm at the time of D's retirement.

Discussion

35.	Suhas surveyed the opinions of 50 students from his class on the impact of social media in their lives, and represented the survey data in the form of a circle graph as shown below.The number of students in the class responded in a positive way is .
Answer» Suhas surveyed the opinions of $50$ students from his class on the impact of social media in their lives, and represented the survey data in the form of a circle graph as shown below. The number of students in the class responded in a positive way is .

Discussion

36.	Simplify:(ab+bc)2−2ab2c
Answer» Simplify: $(a b + b c)^{2} - 2 a b^{2} c$

Discussion

37.	Are monomials called polynomials
Answer» Are monomials called polynomials

Discussion

38.	Question 47The marked price of a table is Rs. 625 and its sale price is Rs. 500. What is the ratio of the sale price to the marked price?
Answer» Question 47 The marked price of a table is Rs. 625 and its sale price is Rs. 500. What is the ratio of the sale price to the marked price?

38.

Question 47The marked price of a table is Rs. 625 and its sale price is Rs. 500. What is the ratio of the sale price to the marked price?

Answer»

Question 47

The marked price of a table is Rs. 625 and its sale price is Rs. 500. What is the ratio of the sale price to the marked price?

Discussion

39.	In the figure below, ABCDEF is regular hexagon.Prove that ACE is an equilateral triangle.
Answer» In the figure below, ABCDEF is regular hexagon. Prove that ACE is an equilateral triangle.

39.

In the figure below, ABCDEF is regular hexagon.Prove that ACE is an equilateral triangle.

Answer»

In the figure below, ABCDEF is regular hexagon.

Prove that ACE is an equilateral triangle.

Discussion

40.	Let ABCD be a square and let AC = BD = 10 cm. Let AC and BD intersect in O. Find OC = OD.
Answer» Let ABCD be a square and let AC = BD = 10 cm. Let AC and BD intersect in O. Find OC = OD.

40.

Let ABCD be a square and let AC = BD = 10 cm. Let AC and BD intersect in O. Find OC = OD.

Answer»

Let ABCD be a square and let AC = BD = 10 cm. Let AC and BD intersect in O. Find OC = OD.

Discussion

41.	A three digit number is a perfect square and the sum of its digits are also a perfect square then how many possibilities are there
Answer» A three digit number is a perfect square and the sum of its digits are also a perfect square then how many possibilities are there

Discussion

42.	Subtract the product of (5a + 3) and (2a - 1) from 4a (a + 1).
Answer» Subtract the product of (5a + 3) and (2a - 1) from 4a (a + 1).

Discussion

43.	Rihanna walks diagonally across a square field of area 11025 m square .what is the distance she will cross?
Answer» Rihanna walks diagonally across a square field of area 11025 m square .what is the distance she will cross?

Discussion

44.	John sold an article to Peter at 20% profit and Peter sold it to Mohan at 5% loss. If Mohan paid Rs.912 for the article; find how much did John pay for it ?
Answer» John sold an article to Peter at 20% profit and Peter sold it to Mohan at 5% loss. If Mohan paid Rs.912 for the article; find how much did John pay for it ?

Discussion

45.	Rekha borrowed ₹40,000 for 3 years at 10% per annum compound interest. Calculate the interest paid by her for the second year.
Answer» Rekha borrowed ₹40,000 for 3 years at 10% per annum compound interest. Calculate the interest paid by her for the second year.

Discussion

46.	The common difference for the arithmetic progression3+2√2, 3+4√2, 3+6√2, 3+8√2 is
Answer» The common difference for the arithmetic progression $3 + 2 \sqrt{2}, 3 + 4 \sqrt{2}, 3 + 6 \sqrt{2}, 3 + 8 \sqrt{2}$ is

Discussion

47.	69 A quadratic polynomial maps from [-1, 2] onto [0, 4] and touches x-axis at x= 2, Find the polynomial.
Answer» 69 A quadratic polynomial maps from [-1, 2] onto [0, 4] and touches x-axis at x= 2, Find the polynomial.

Discussion

48.	Volume of cuboid = Surface Area of base ×___
Answer» Volume of cuboid = Surface Area of base $\times$ ___

Discussion

49.	State whether the statements are True or False. Question 34 The Y-coordinate of any point lying on the X-axis will be zero.
Answer» State whether the statements are True or False. Question 34 The Y-coordinate of any point lying on the X-axis will be zero.

Discussion

50.	If \|→a×→b\|=12,\|→a⋅→b\|=5 and \|→a\|=3, then the value of \|→b\| is
Answer» If $\| \to a \times \to b \| = 12, \| \to a \cdot \to b \| = 5$ and $\| \to a \| = 3,$ then the value of $\| \to b \|$ is

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

A number which can be represented in the form of pq, q≠0 where p and q are integers is called a ___ number.

The graph below shows average height of girls at different ages. What will be the age of the girl whose height is 65 inches?

The total number of terms in (x+2)132+(x−2)132 is

Question 63(iv)The table given below shows the temperatures recorded on a day at different times.Observe the graph and answer the following questions.What is the change in temperature between 7 AM and 10 AM?

The distribution below gives the weights of 30 students of a class. Find the median weight of the students. Weight (in kg)40−4545−5050−5555−6060−6565−7070−75Number of students 2386632

What will be the quotient and remainder if (a4−a3+a2−a+1)÷(a3−2)?

Question 1(iv)State whether the number given below is a perfect cube or not:100

32. In the adjoining figure ABCD is a parallelogram in which E and are the midpoints of AB and CD respectively. If GH is a line segment that cuts AD, EF and BC at G,P Andy respectively , prove that GP = PH

Suppose p/q is a positive rational in its lowest form. Prove that is also in its lowest form.

The cost of one food packet is ₹ 45 with a fixed delivery charge of ₹10 . The total cost for y number of food packets is given by : a) 45 + 10y b) 45 + 10 + y c) 45y + 10 d) 45 - 10y

Question 5Explain why a rectangle is a convex quadrilateral.

What is the remainder when 1591 is divided by 1000?

What will be the number of digits in the cube of 5000?

Multiply the additive inverse of −192 with the reciprocal of 38.

Find out if it is possible with each interior angle equal to 105°

Nine times a two digit number is the same as twice the number obtained by interchanging the digit of the number. If one digit of the number exceeds the other number by 7 find number

The value of x which satisfies the equation ax+b=0,a≠0 is known as ________. Fill in the blank with the correct option.

Find the value of: 112

Pratik has a R.D. account and deposited Rs.800 per month. If the maturity value of this account was Rs. 33240 and the rate of interest was 10% per annum. Find the time (in years) for which the account was held.

Question 1 (ii)What will be the unit digit of the squares of the following number:272

Triangle ABC is reflected through the mirror XY as shown in the figure. Then which among the given options is congruent to triangle ABC?

A letter is chosen at random from the word 'ENTERTAINMENT. Find the probability that the chosen letter is a vowel.

The angles of a quadrilateral are 110∘, 72∘, 55∘ and x∘. Find the value of x.

Construct triangle ABC in which BC = 5 cm, AB − AC = 2.8 cm and ∠B = 40°.

In the given figure, ABCD is a quadrilateral and AO and DO are bisectors of ∠A and ∠D. The value of 'x ' is

Express 1√6 in decimal form up to one decimal place using approximation.

Question 12 (iii)A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 (see figure) and these are equally likely outcomes. What is the probability that it will point at a number greater than 2?

Let A [1...n] be any array of n distinct numbers, If i &lt; j and A [i] &gt; A[j], then the pair (i,j) is called an inversion of A. What is the expected number of inversion in any permutation on n elements?

Three numbers are in the ratio 1 : 2 : 3. The sum of their cubes is 98784. Find the numbers.

(− 1) (− 1) (− 1) (− 1) (− 1) = ...............

Question 6What is the probability of choosing a vowel from the alphabets?(a) 2126(b) 526(c) 126(d) 326

Suhas surveyed the opinions of 50 students from his class on the impact of social media in their lives, and represented the survey data in the form of a circle graph as shown below.The number of students in the class responded in a positive way is .

Simplify:(ab+bc)2−2ab2c

Are monomials called polynomials

Question 47The marked price of a table is Rs. 625 and its sale price is Rs. 500. What is the ratio of the sale price to the marked price?

In the figure below, ABCDEF is regular hexagon.Prove that ACE is an equilateral triangle.

Let ABCD be a square and let AC = BD = 10 cm. Let AC and BD intersect in O. Find OC = OD.

A three digit number is a perfect square and the sum of its digits are also a perfect square then how many possibilities are there

Subtract the product of (5a + 3) and (2a - 1) from 4a (a + 1).

Rihanna walks diagonally across a square field of area 11025 m square .what is the distance she will cross?

John sold an article to Peter at 20% profit and Peter sold it to Mohan at 5% loss. If Mohan paid Rs.912 for the article; find how much did John pay for it ?

Rekha borrowed ₹40,000 for 3 years at 10% per annum compound interest. Calculate the interest paid by her for the second year.

The common difference for the arithmetic progression3+2√2, 3+4√2, 3+6√2, 3+8√2 is

69 A quadratic polynomial maps from [-1, 2] onto [0, 4] and touches x-axis at x= 2, Find the polynomial.

Volume of cuboid = Surface Area of base ×___

State whether the statements are True or False. Question 34 The Y-coordinate of any point lying on the X-axis will be zero.

If |→a×→b|=12,|→a⋅→b|=5 and |→a|=3, then the value of |→b| is

Let A [1...n] be any array of n distinct numbers, If i < j and A [i] > A[j], then the pair (i,j) is called an inversion of A. What is the expected number of inversion in any permutation on n elements?