25365 + Interview Questions in Mathematics

1.	Which of the following is not an algebraic expression?
Answer» Which of the following is not an algebraic expression?

Discussion

2.	ntProve that the mapping f:N→N defined by f(x) = (x+1) when x is odd and (x-1) when x is even, is one-one and onto.n
Answer» ntProve that the mapping f:N→N defined by f(x) = (x+1) when x is odd and (x-1) when x is even, is one-one and onto.n

Discussion

3.	Arrange the followings in increasing order from bottom to top.
Answer» Arrange the followings in increasing order from bottom to top.

Discussion

4.	Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.
Answer» Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.

Discussion

5.	Question 2Find the area of the shaded region in Fig. 12.20, if radii of the two concentric circles with centre O are 7 cm and 14 cm respectively and ∠AOC=40∘.
Answer» Question 2 Find the area of the shaded region in Fig. 12.20, if radii of the two concentric circles with centre O are 7 cm and 14 cm respectively and $∠ A O C = 40^{\circ}$ .

Discussion

6.	abc is a three digit number. This three digit number is reversed and subtracted from the original number. The difference obtained is 396. Find (a-c).
Answer» abc is a three digit number. This three digit number is reversed and subtracted from the original number. The difference obtained is 396. Find (a-c).

Discussion

7.	Question 116(ii)Following is a pie chart showing the amount spent (in Rs thousands) by a company on various modes of advertising for a product. Now, answer the following questionsWhich type of media advertising is least amount of the total ?
Answer» Question 116(ii) Following is a pie chart showing the amount spent (in Rs thousands) by a company on various modes of advertising for a product. Now, answer the following questions Which type of media advertising is least amount of the total ?

7.

Question 116(ii)Following is a pie chart showing the amount spent (in Rs thousands) by a company on various modes of advertising for a product. Now, answer the following questionsWhich type of media advertising is least amount of the total ?

Answer»

Question 116(ii)

Following is a pie chart showing the amount spent (in Rs thousands) by a company on various modes of advertising for a product.

Now, answer the following questions

Which type of media advertising is least amount of the total ?

Discussion

8.	What is meant by adjacent sides.
Answer» What is meant by adjacent sides.

Discussion

9.	Carry out the multiplication of the expressions in the following pair:a+b, 7a2b2
Answer» Carry out the multiplication of the expressions in the following pair: $a + b, 7 a^{2} b^{2}$

Discussion

10.	Give reasons for the following:A rectangle can be thought of as a special parallelogram.
Answer» Give reasons for the following: A rectangle can be thought of as a special parallelogram.

10.

Give reasons for the following:A rectangle can be thought of as a special parallelogram.

Answer»

Give reasons for the following:

A rectangle can be thought of as a special parallelogram.

Discussion

11.	How to find a square root
Answer» How to find a square root

Discussion

12.	If 2352=2p×3q×7r then find the values of p,q and r.
Answer» If $2352 = 2^{p} \times 3^{q} \times 7^{r}$ then find the values of $p, q a n d r$ .

Discussion

13.	Question 37(iv)A child's game has 8 triangles of which 3 are blue and rest are red, and 10 squares of which 6 are blue and rest are red. One piece is lost at random. Find the probability that it is a triangle of red colour?
Answer» Question 37(iv) A child's game has 8 triangles of which 3 are blue and rest are red, and 10 squares of which 6 are blue and rest are red. One piece is lost at random. Find the probability that it is a triangle of red colour?

Discussion

14.	Question 53t−24−2t+33=23−t
Answer» Question 5 $\frac{3 t - 2}{4} - \frac{2 t + 3}{3} = \frac{2}{3} - t$

Discussion

15.	Question 12Ram put some buttons on the table. There were 4 blue, 7 red, 3 black and 6 white buttons in all. All of a sudden, a cat jumped on the table an knocked out one button on the floor. What is the probability that the button on the floor is blue?(a) 720(b) 35(c) 15(d) 14
Answer» Question 12 Ram put some buttons on the table. There were 4 blue, 7 red, 3 black and 6 white buttons in all. All of a sudden, a cat jumped on the table an knocked out one button on the floor. What is the probability that the button on the floor is blue? (a) $\frac{7}{20}$ (b) $\frac{3}{5}$ (c) $\frac{1}{5}$ (d) $\frac{1}{4}$

15.

Question 12Ram put some buttons on the table. There were 4 blue, 7 red, 3 black and 6 white buttons in all. All of a sudden, a cat jumped on the table an knocked out one button on the floor. What is the probability that the button on the floor is blue?(a) 720(b) 35(c) 15(d) 14

Answer»

Question 12

Ram put some buttons on the table. There were 4 blue, 7 red, 3 black and 6 white buttons in all. All of a sudden, a cat jumped on the table an knocked out one button on the floor. What is the probability that the button on the floor is blue?

(a) $\frac{7}{20}$

(b) $\frac{3}{5}$

(c) $\frac{1}{5}$

(d) $\frac{1}{4}$

Discussion

16.	Find perimeter of the square, if radius of the circle is 3 cm. cm
Answer» Find perimeter of the square, if radius of the circle is 3 cm. cm

Discussion

17.	Find the area in cm2 of the yellow region where the square has side measuring 14 cm.__
Answer» Find the area in $c m^{2}$ of the yellow region where the square has side measuring 14 cm. __

17.

Find the area in cm2 of the yellow region where the square has side measuring 14 cm.__

Answer»

Find the area in $c m^{2}$ of the yellow region where the square has side measuring 14 cm.

__

Discussion

18.	The probability of selecting a red ball is 14 and the probability of slecting a blue ball is 12. If the box has a minimum number of balls, find the probability of taking out a green ball.Note: The box contains at least 1 ball of each color.
Answer» The probability of selecting a red ball is $\frac{1}{4}$ and the probability of slecting a blue ball is $\frac{1}{2}$ . If the box has a minimum number of balls, find the probability of taking out a green ball. Note: The box contains at least 1 ball of each color.

Discussion

19.	The ages of Sonu and Monu are in the ratio 7 : 5. Ten years hence, the ratio of their ages will be 9 : 7. Find their present ages.
Answer» The ages of Sonu and Monu are in the ratio 7 : 5. Ten years hence, the ratio of their ages will be 9 : 7. Find their present ages.

Discussion

20.	In which of the following quadrilaterals, diagonals bisect each other?i) Parallelogramii) Rhombusiii) Rectangleiv) Squarev) Kite
Answer» In which of the following quadrilaterals, diagonals bisect each other? i) Parallelogram ii) Rhombus iii) Rectangle iv) Square v) Kite

20.

In which of the following quadrilaterals, diagonals bisect each other?i) Parallelogramii) Rhombusiii) Rectangleiv) Squarev) Kite

Answer»

In which of the following quadrilaterals, diagonals bisect each other?

i) Parallelogram

ii) Rhombus

iii) Rectangle

iv) Square

v) Kite

Discussion

21.	5. Use Euclid's division algorithm to find the HCF of 726 and 275and express it in the form 726m+275n
Answer» 5. Use Euclid's division algorithm to find the HCF of 726 and 275and express it in the form 726m+275n

Discussion

22.	A car took 2 hrs to cover a certain distance at 45 kmph. How many hours it will take to cover same distance at 90 kmph.
Answer» A car took 2 hrs to cover a certain distance at 45 kmph. How many hours it will take to cover same distance at 90 kmph.

Discussion

23.	In a game of football, if a player kicks the ball into opponent's goal post then he scores a goal. If he passes the ball to any of his team mates and that particular team mate scores a goal after that, the player is said to have assisted the goal. Here you have line graphs which give the goals and assists of two players in past 5 months. The player who played better in Month 5 is ________. (Assume the level of competition in the matches played by both the players was same)
Answer» In a game of football, if a player kicks the ball into opponent's goal post then he scores a goal. If he passes the ball to any of his team mates and that particular team mate scores a goal after that, the player is said to have assisted the goal. Here you have line graphs which give the goals and assists of two players in past 5 months. The player who played better in Month 5 is ________. (Assume the level of competition in the matches played by both the players was same)

23.

In a game of football, if a player kicks the ball into opponent's goal post then he scores a goal. If he passes the ball to any of his team mates and that particular team mate scores a goal after that, the player is said to have assisted the goal. Here you have line graphs which give the goals and assists of two players in past 5 months. The player who played better in Month 5 is ________. (Assume the level of competition in the matches played by both the players was same)

Answer»

In a game of football, if a player kicks the ball into opponent's goal post then he scores a goal. If he passes the ball to any of his team mates and that particular team mate scores a goal after that, the player is said to have assisted the goal. Here you have line graphs which give the goals and assists of two players in past 5 months. The player who played better in Month 5 is ________. (Assume the level of competition in the matches played by both the players was same)

Discussion

24.	Simplify (√18-√12)(√32-√12)
Answer» Simplify (√18-√12)(√32-√12)

Discussion

25.	square root of (7-30 rt of -2) is
Answer» square root of (7-30 rt of -2) is

Discussion

26.	Molly, Nafeeza and Omana started a tailoring shop. The money they invested for this is in the ratio 5 : 7 : 8. They divide the profit also in this ratio. One year, Omana got 1800 rupees more than Molly. How much did each get that year?
Answer» Molly, Nafeeza and Omana started a tailoring shop. The money they invested for this is in the ratio 5 : 7 : 8. They divide the profit also in this ratio. One year, Omana got 1800 rupees more than Molly. How much did each get that year?

Discussion

27.	Question 99(i) Find the value of x, so that (53)−2×(53)−14=(53)8x
Answer» Question 99(i) Find the value of x, so that ${(\frac{5}{3})}^{- 2} \times {(\frac{5}{3})}^{- 14} = {(\frac{5}{3})}^{8 x}$

27.

Question 99(i) Find the value of x, so that (53)−2×(53)−14=(53)8x

Answer»

Question 99(i)

Find the value of x, so that
${(\frac{5}{3})}^{- 2} \times {(\frac{5}{3})}^{- 14} = {(\frac{5}{3})}^{8 x}$

Discussion

28.	Choose the correct alternative answer for the following quesitons. (i) What is the form of co-ordinates of a point on the X-axis ?(A) ( b , b ) (B) ( o , b ) (C) ( a , o ) (D) ( a , a ) (ii) Any point on the line y = x is of the form .....(A) ( a , a ) (B) ( o , a ) (C) ( a , o ) (D) ( a , -a ) (iii) What is the equation of the X-axis ?(A) x = 0 (B) y = 0 (C) x + y = 0 (D) x = y (iv) In which quadrant does the point (-4, -3) lie ?(A) First (B) Second (C) Third (D) Fourth (v) What is the nature of the line which includes the points (-5,5), (6,5), (-3,5), (0,5) ?(A) Passes through the origin,,(B) Parallel to Y-axis. (C) Parallel to X-axis (D) None of these(vi) Which of the points P (-1,1), Q (3,-4), R(1,-1), S (-2,-3), T (-4,4) lie in the fourth quadrant ?(A) P and T (B) Q and R (C) only S (D) P and R
Answer» Choose the correct alternative answer for the following quesitons. (i) What is the form of co-ordinates of a point on the X-axis ? (A) ( b , b ) (B) ( o , b ) (C) ( a , o ) (D) ( a , a ) (ii) Any point on the line y = x is of the form ..... (A) ( a , a ) (B) ( o , a ) (C) ( a , o ) (D) ( a , $-$ a ) (iii) What is the equation of the X-axis ? (A) x = 0 (B) y = 0 (C) x + y = 0 (D) x = y (iv) In which quadrant does the point ( $-$ 4, $-$ 3) lie ? (A) First (B) Second (C) Third (D) Fourth (v) What is the nature of the line which includes the points ( $-$ 5,5), (6,5), ( $-$ 3,5), (0,5) ? (A) Passes through the origin,,(B) Parallel to Y-axis. (C) Parallel to X-axis (D) None of these (vi) Which of the points P ( $-$ 1,1), Q (3, $-$ 4), R(1, $-$ 1), S ( $-$ 2, $-$ 3), T ( $-$ 4,4) lie in the fourth quadrant ? (A) P and T (B) Q and R (C) only S (D) P and R

Discussion

29.	On selling a chair for Rs. 720, a man loses 25%. To gain 25% it must be sold for (a) Rs. 900 (b) Rs. 1200 (c) Rs. 1080 (d) Rs. 1440
Answer» On selling a chair for Rs. 720, a man loses 25%. To gain 25% it must be sold for (a) Rs. 900 (b) Rs. 1200 (c) Rs. 1080 (d) Rs. 1440

29.

On selling a chair for Rs. 720, a man loses 25%. To gain 25% it must be sold for (a) Rs. 900 (b) Rs. 1200 (c) Rs. 1080 (d) Rs. 1440

Answer»

On selling a chair for Rs. 720, a man loses 25%. To gain 25% it must be sold for

(a) Rs. 900

(b) Rs. 1200

(c) Rs. 1080

(d) Rs. 1440

Discussion

30.	Factorise : x3(2a−b)+x2(2a−b)
Answer» Factorise : $x^{3} (2 a - b) + x^{2} (2 a - b)$

Discussion

31.	\begin{vmatrix}b^2+c^2&a^2&a^2 b^2&c^2+a^2&b^2 c^2&c^2&a^2+b^2\end{vmatrix}
Answer» \begin{vmatrix}b^2+c^2&a^2&a^2 b^2&c^2+a^2&b^2 c^2&c^2&a^2+b^2\end{vmatrix}

Discussion

32.	If, x=(−45)30÷ (−45)28 and y=(−45)2×(−45)3, find the value of (x3÷y)2
Answer» If, $x = {(\frac{- 4}{5})}^{30} \div {(\frac{- 4}{5})}^{28}$ and $y = {(\frac{- 4}{5})}^{2} \times {(\frac{- 4}{5})}^{3}$ , find the value of $(x^{3} \div y)^{2}$

Discussion

33.	\xrightarrow[{x \sqrt2}]{lim} x^4 - 4 ÷ x^2 + 3\sqrt2x -8
Answer» \xrightarrow[{x \sqrt2}]{lim} x^4 - 4 ÷ x^2 + 3\sqrt2x -8

Discussion

34.	Find ten rational number between −311 and 811
Answer» Find ten rational number between $\frac{- 3}{11}$ and $\frac{8}{11}$

Discussion

35.	If the ratio of the polynomial ax cube+3bx square+3cx+d are in A.P.Prove that 2b cube -3abc + a square d=0
Answer» If the ratio of the polynomial ax cube+3bx square+3cx+d are in A.P.Prove that 2b cube -3abc + a square d=0

Discussion

36.	Question 8A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.
Answer» Question 8 A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.

Discussion

37.	Question 93 (v)The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle.x2+9x+20
Answer» Question 93 (v) The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle. $x^{2} + 9 x + 20$

37.

Question 93 (v)The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle.x2+9x+20

Answer»

Question 93 (v)

The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle.

$x^{2} + 9 x + 20$

Discussion

38.	Superman can fly at speeds almost equal to 2.6×107 m/s. A supersonic jet on the planet Krypton can fly at a maximum speed of 130000 m/s. Choose the correct option(s):
Answer» Superman can fly at speeds almost equal to $2.6 \times 10^{7}$ m/s. A supersonic jet on the planet Krypton can fly at a maximum speed of 130000 m/s. Choose the correct option(s):

Discussion

39.	Construct triangle ABC in which BC = 3.4 cm, AB − AC = 1.5 cm and ∠B = 45°.
Answer» Construct triangle ABC in which BC = 3.4 cm, AB − AC = 1.5 cm and ∠B = 45°.

Discussion

40.	Find fiverational numbers between(i) (ii) (iii)
Answer» Find five rational numbers between (i) (ii) (iii)

40.

Find fiverational numbers between(i) (ii) (iii)

Answer»

Find five
rational numbers between

(i)

(ii)

(iii)

Discussion

41.	There is a quadrilateral made by attaching 2 congruent triangles. Two of its sides are 3 and 4 units. What can be the measure of the 3rd side?
Answer» There is a quadrilateral made by attaching 2 congruent triangles. Two of its sides are 3 and 4 units. What can be the measure of the 3rd side?

Discussion

42.	The shopkeeper shows a bill of ₹ 551.50. He says there is a discount of 10%. What is the approximate amount that I should pay?
Answer» The shopkeeper shows a bill of ₹ 551.50. He says there is a discount of 10%. What is the approximate amount that I should pay?

Discussion

43.	Question 7(iv)Can there be a time-temperature graph as follows? Justify your answer.
Answer» Question 7(iv) Can there be a time-temperature graph as follows? Justify your answer.

Discussion

44.	What is the volume of a cylinder whose radius is 2 cm and height is 14 cm?
Answer» What is the volume of a cylinder whose radius is 2 cm and height is 14 cm?

Discussion

45.	After having bought a new car, Sudeshna decided to take a long drive to Mahabaleshwar, when she started her journey the meter reading on her car showed 25.22 km travelled. If she drove 165.34 km to reach Mahabaleshwar and drove 72.57 km more to visit a friend’s house, What should be the final meter reading on her car ?
Answer» After having bought a new car, Sudeshna decided to take a long drive to Mahabaleshwar, when she started her journey the meter reading on her car showed 25.22 km travelled. If she drove 165.34 km to reach Mahabaleshwar and drove 72.57 km more to visit a friend’s house, What should be the final meter reading on her car ?

Discussion

46.	ABCD is a parallelogram. DK is perpendicular to BA produced at K and DM is perpendicular to BC produced at M. Find the measure of ∠KDM.
Answer» ABCD is a parallelogram. DK is perpendicular to BA produced at K and DM is perpendicular to BC produced at M. Find the measure of $∠ K D M .$

Discussion

47.	Mean of 100 items is 49. It was discovered that three items which should have been 60, 70, 80 were wrongly read as 40, 20, 50 respectively. The correct mean is (A) 48 (B) 82 (C) 50 (D) 80
Answer» Mean of 100 items is 49. It was discovered that three items which should have been 60, 70, 80 were wrongly read as 40, 20, 50 respectively. The correct mean is (A) 48 (B) 82 (C) 50 (D) 80

Discussion

48.	27. Prove that (n!)! is divisible by (n!)^{(n-1)
Answer» 27. Prove that (n!)! is divisible by (n!)^{(n-1)

Discussion

49.	Solve: (35x5+14x3−28x2)÷−7x
Answer» Solve: $(35 x^{5} + 14 x^{3} - 28 x^{2}) \div - 7 x$

Discussion

50.	How many cookies, in total, did Sohan eat?
Answer» How many cookies, in total, did Sohan eat?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Which of the following is not an algebraic expression?

ntProve that the mapping f:N→N defined by f(x) = (x+1) when x is odd and (x-1) when x is even, is one-one and onto.n

Arrange the followings in increasing order from bottom to top.

Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.

Question 2Find the area of the shaded region in Fig. 12.20, if radii of the two concentric circles with centre O are 7 cm and 14 cm respectively and ∠AOC=40∘.

abc is a three digit number. This three digit number is reversed and subtracted from the original number. The difference obtained is 396. Find (a-c).

Question 116(ii)Following is a pie chart showing the amount spent (in Rs thousands) by a company on various modes of advertising for a product. Now, answer the following questionsWhich type of media advertising is least amount of the total ?

What is meant by adjacent sides.

Carry out the multiplication of the expressions in the following pair:a+b, 7a2b2

Give reasons for the following:A rectangle can be thought of as a special parallelogram.

How to find a square root

If 2352=2p×3q×7r then find the values of p,q and r.

Question 37(iv)A child's game has 8 triangles of which 3 are blue and rest are red, and 10 squares of which 6 are blue and rest are red. One piece is lost at random. Find the probability that it is a triangle of red colour?

Question 53t−24−2t+33=23−t

Question 12Ram put some buttons on the table. There were 4 blue, 7 red, 3 black and 6 white buttons in all. All of a sudden, a cat jumped on the table an knocked out one button on the floor. What is the probability that the button on the floor is blue?(a) 720(b) 35(c) 15(d) 14

Find perimeter of the square, if radius of the circle is 3 cm. cm

Find the area in cm2 of the yellow region where the square has side measuring 14 cm.__

The probability of selecting a red ball is 14 and the probability of slecting a blue ball is 12. If the box has a minimum number of balls, find the probability of taking out a green ball.Note: The box contains at least 1 ball of each color.

The ages of Sonu and Monu are in the ratio 7 : 5. Ten years hence, the ratio of their ages will be 9 : 7. Find their present ages.

In which of the following quadrilaterals, diagonals bisect each other?i) Parallelogramii) Rhombusiii) Rectangleiv) Squarev) Kite

5. Use Euclid's division algorithm to find the HCF of 726 and 275and express it in the form 726m+275n

A car took 2 hrs to cover a certain distance at 45 kmph. How many hours it will take to cover same distance at 90 kmph.

Simplify (√18-√12)(√32-√12)

square root of (7-30 rt of -2) is

Molly, Nafeeza and Omana started a tailoring shop. The money they invested for this is in the ratio 5 : 7 : 8. They divide the profit also in this ratio. One year, Omana got 1800 rupees more than Molly. How much did each get that year?

Question 99(i) Find the value of x, so that (53)−2×(53)−14=(53)8x

On selling a chair for Rs. 720, a man loses 25%. To gain 25% it must be sold for (a) Rs. 900 (b) Rs. 1200 (c) Rs. 1080 (d) Rs. 1440

Factorise : x3(2a−b)+x2(2a−b)

\begin{vmatrix}b^2+c^2&a^2&a^2 b^2&c^2+a^2&b^2 c^2&c^2&a^2+b^2\end{vmatrix}

If, x=(−45)30÷ (−45)28 and y=(−45)2×(−45)3, find the value of (x3÷y)2

\xrightarrow[{x \sqrt2}]{lim} x^4 - 4 ÷ x^2 + 3\sqrt2x -8

Find ten rational number between −311 and 811

If the ratio of the polynomial ax cube+3bx square+3cx+d are in A.P.Prove that 2b cube -3abc + a square d=0

Question 8A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.

Question 93 (v)The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle.x2+9x+20

Superman can fly at speeds almost equal to 2.6×107 m/s. A supersonic jet on the planet Krypton can fly at a maximum speed of 130000 m/s. Choose the correct option(s):

Construct triangle ABC in which BC = 3.4 cm, AB − AC = 1.5 cm and ∠B = 45°.

Find fiverational numbers between(i) (ii) (iii)

There is a quadrilateral made by attaching 2 congruent triangles. Two of its sides are 3 and 4 units. What can be the measure of the 3rd side?

The shopkeeper shows a bill of ₹ 551.50. He says there is a discount of 10%. What is the approximate amount that I should pay?

Question 7(iv)Can there be a time-temperature graph as follows? Justify your answer.

What is the volume of a cylinder whose radius is 2 cm and height is 14 cm?

ABCD is a parallelogram. DK is perpendicular to BA produced at K and DM is perpendicular to BC produced at M. Find the measure of ∠KDM.

Mean of 100 items is 49. It was discovered that three items which should have been 60, 70, 80 were wrongly read as 40, 20, 50 respectively. The correct mean is (A) 48 (B) 82 (C) 50 (D) 80

27. Prove that (n!)! is divisible by (n!)^{(n-1)

Solve: (35x5+14x3−28x2)÷−7x

How many cookies, in total, did Sohan eat?