24740 + Interview Questions in Mathematics

1.	A cat is at number 3. A rat is at number 10. Assuming both are standing on a number line, how far is the rat from the cat?
Answer» A cat is at number 3. A rat is at number 10. Assuming both are standing on a number line, how far is the rat from the cat?

Discussion

2.	The total surface area of a box which is in the form of a cuboid whose dimensions are l×b×h is _______.
Answer» The total surface area of a box which is in the form of a cuboid whose dimensions are $l \times b \times h$ is _______.

Discussion

3.	Find the mode
Answer» Find the mode

3.

Find the mode

Answer»

Find the mode

Discussion

4.	The figure shown below is a circle centered at O. AB and CD are ___ of the circle.
Answer» The figure shown below is a circle centered at O. AB and CD are ___ of the circle.

4.

The figure shown below is a circle centered at O. AB and CD are ___ of the circle.

Answer»

The figure shown below is a circle centered at O. AB and CD are ___ of the circle.

Discussion

5.	Question 75 State whether the statement is True or False. Difference of two negative integers cannot be a positive integer.
Answer» Question 75 State whether the statement is True or False. Difference of two negative integers cannot be a positive integer.

5.

Question 75 State whether the statement is True or False. Difference of two negative integers cannot be a positive integer.

Answer»

Question 75

State whether the statement is True or False.

Difference of two negative integers cannot be a positive integer.

Discussion

6.	Evaluate the exponential expression (−b)4×(−b)5, for b=4. [2 MARKS]
Answer» Evaluate the exponential expression $(- b)^{4} \times (- b)^{5}$ , for $b = 4$ . [2 MARKS]

Discussion

7.	Factorize: 125a3 – 27b3 – 225a2b + 135ab2.
Answer» Factorize: 125a³ – 27b³ – 225a²b + 135ab².

Discussion

8.	(a) A polygon has 2 lines of symmetry and order of rotational symmetry is 2. The adjacent sides of the polygon are not equal. The perimeter of the polygon is 24 m. Given one side length as 9 m, find the area of the polygon? (b) The order of the rotational symmetry of the given figure about its centre is: (c) The order of the rotational symmetry of the given figure about the point marked ‘x’ is: [4 MARKS]
Answer» (a) A polygon has 2 lines of symmetry and order of rotational symmetry is 2. The adjacent sides of the polygon are not equal. The perimeter of the polygon is 24 m. Given one side length as 9 m, find the area of the polygon? (b) The order of the rotational symmetry of the given figure about its centre is: (c) The order of the rotational symmetry of the given figure about the point marked ‘x’ is: [4 MARKS]

Discussion

9.	In the figure below, AB = 6 cm and AC = 8 cm. If D and E are the midpoints of AB and AC respectively, find the area of ΔADE (in cm2).
Answer» In the figure below, AB = 6 cm and AC = 8 cm. If D and E are the midpoints of AB and AC respectively, find the area of $Δ A D E (i n c m^{2})$ .

9.

In the figure below, AB = 6 cm and AC = 8 cm. If D and E are the midpoints of AB and AC respectively, find the area of ΔADE (in cm2).

Answer»

In the figure below, AB = 6 cm and AC = 8 cm. If D and E are the midpoints of AB and AC respectively, find the area of $Δ A D E (i n c m^{2})$ .

Discussion

10.	Line DE intersects PQ at O. If ∠POE=3Y,∠QOE=2X and X = 30∘, then (6Y - 3X)=
Answer» Line DE intersects PQ at O. If $∠ P O E = 3 Y, ∠ Q O E = 2 X$ and X = $30^{\circ}$ , then (6Y - 3X)=

Discussion

11.	Two edges of a rectangular sheet of paper having dimensions 14m × 7m are held together so that it forms a cylinder. Find the curved surface area(in sq. cm) of the cylinder.98
Answer» Two edges of a rectangular sheet of paper having dimensions 14m $\times$ 7m are held together so that it forms a cylinder. Find the curved surface area(in sq. cm) of the cylinder. 98

Discussion

12.	The midpoint of the pair of points −√2 and −√3 on the number line is
Answer» The midpoint of the pair of points $- \sqrt{2}$ and $- \sqrt{3}$ on the number line is

Discussion

13.	A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs. 27 for a book kept for seven days, while Susy paid Rs. 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day. [4 MARKS]
Answer» A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs. 27 for a book kept for seven days, while Susy paid Rs. 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day. [4 MARKS]

Discussion

14.	Rationalise the denominator in 2√3 .
Answer» Rationalise the denominator in $\frac{2}{\sqrt{3}}$ .

Discussion

15.	What is the average amount of money spent by Satish if he has spent ₹ 250, ₹ 350, ₹ 300 , ₹ 450 and ₹ 400 in 5 days?
Answer» What is the average amount of money spent by Satish if he has spent ₹ 250, ₹ 350, ₹ 300 , ₹ 450 and ₹ 400 in 5 days?

Discussion

16.	If P is the interoir point of parallelogram ABCD, prove that the sum of area of ΔPAB and ΔPDC is as equal to half of the area of parallelogram ABCD [2 MARKS]
Answer» If P is the interoir point of parallelogram ABCD, prove that the sum of area of ΔPAB and ΔPDC is as equal to half of the area of parallelogram ABCD [2 MARKS]

16.

If P is the interoir point of parallelogram ABCD, prove that the sum of area of ΔPAB and ΔPDC is as equal to half of the area of parallelogram ABCD [2 MARKS]

Answer»

If P is the interoir point of parallelogram ABCD, prove that the sum of area of ΔPAB and ΔPDC is as equal to half of the area of parallelogram ABCD [2 MARKS]

Discussion

17.	A bag contains sugar that weighs 679 kg and rice that weighs 756.Find the total weight of the bag ?
Answer» A bag contains sugar that weighs $6 \frac{7}{9}$ kg and rice that weighs $7 \frac{5}{6}$ .Find the total weight of the bag ?

Discussion

18.	___ cm is the height of a cylinder whose radius is 14 cm and the total surface area is 2640 sq.cm
Answer» ___ cm is the height of a cylinder whose radius is 14 cm and the total surface area is 2640 sq.cm

Discussion

19.	Which of the following instruments is unnecessary to draw a right triangle with all 3 sides given?
Answer» Which of the following instruments is unnecessary to draw a right triangle with all 3 sides given?

Discussion

20.	The dimensions of a room are 9m×8m×6.5m. It has one door of dimensions 2 m×1.5m and two windows each of dimensions 1.5m×1m. Find the cost of whitewashing the walls at Rs6.40 per m2.
Answer» The dimensions of a room are 9m $\times$ 8m $\times$ 6.5m. It has one door of dimensions 2 m $\times$ 1.5m and two windows each of dimensions 1.5m $\times$ 1m. Find the cost of whitewashing the walls at Rs6.40 per m $^{2}$ .

Discussion

21.	How to represent 4.5 on number line
Answer» How to represent 4.5 on number line

Discussion

22.	Find the percent increase in the area of a triangle if its each side is doubled
Answer» Find the percent increase in the area of a triangle if its each side is doubled

Discussion

23.	Two cube each of 10 cm edge are joined end to end. Find surface area of resulting cuboid
Answer» Two cube each of 10 cm edge are joined end to end. Find surface area of resulting cuboid

Discussion

24.	0.12333... can be expressed in rational form as
Answer» 0.12333... can be expressed in rational form as

Discussion

25.	Prove that sin4 θ−cos4 θ=1−2 cos2 θ [3 MARKS]
Answer» Prove that $s i n^{4} θ - c o s^{4} θ = 1 - 2 c o s^{2} θ$ [3 MARKS]

Discussion

26.	What is the probability of not picking a face card when you draw a card at random from a pack of 52 cards?
Answer» What is the probability of not picking a face card when you draw a card at random from a pack of 52 cards?

Discussion

27.	Quadratic equation is a polynomial of degree:
Answer» Quadratic equation is a polynomial of degree:

Discussion

28.	Question 48 Fill in the blanks to make the statement true. (−25)×(−2)=___ .
Answer» Question 48 Fill in the blanks to make the statement true. $(- 25) \times (- 2) =$ ___ .

28.

Question 48 Fill in the blanks to make the statement true. (−25)×(−2)=___ .

Answer»

Question 48

Fill in the blanks to make the statement true.

$(- 25) \times (- 2) =$ ___ .

Discussion

29.	Question 7 Cost of 4 dozens bananas is Rs 60. How many bananas can be purchased for Rs 12.50?
Answer» Question 7 Cost of 4 dozens bananas is Rs 60. How many bananas can be purchased for Rs 12.50?

29.

Question 7 Cost of 4 dozens bananas is Rs 60. How many bananas can be purchased for Rs 12.50?

Answer»

Question 7

Cost of 4 dozens bananas is Rs 60. How many bananas can be purchased for Rs 12.50?

Discussion

30.	Which of the following should be the THIRD sentence after rearrangement?
Answer» Which of the following should be the THIRD sentence after rearrangement?

Discussion

31.	The mean of 16 number is 8. If 2 is added to each number then what will be the new mean
Answer» The mean of 16 number is 8. If 2 is added to each number then what will be the new mean

Discussion

32.	If A - B = {1, 3, 7, 8}, B - A = {2, 4, 6} and A∩B={5}, then the elements of set A and B are ___ and ___ respectively.
Answer» If A - B = {1, 3, 7, 8}, B - A = {2, 4, 6} and $A \cap B = {5}$ , then the elements of set A and B are ___ and ___ respectively.

Discussion

33.	Question 24 (ii) A die is thrown twice. What is the probability that 5 will come up at least once?
Answer» Question 24 (ii) A die is thrown twice. What is the probability that 5 will come up at least once?

Discussion

34.	Question 13 (i) A dice is thrown once. Find the probability of getting a prime number.
Answer» Question 13 (i) A dice is thrown once. Find the probability of getting a prime number.

Discussion

35.	In △ABC, the ratio of altitudes BE and CF is equal to one. What can be said about the nature of △ABC?
Answer» In $△ A B C,$ the ratio of altitudes $B E$ and $C F$ is equal to one. What can be said about the nature of $△ A B C ?$

35.

In △ABC, the ratio of altitudes BE and CF is equal to one. What can be said about the nature of △ABC?

Answer»

In $△ A B C,$ the ratio of altitudes $B E$ and $C F$ is equal to one. What can be said about the nature of $△ A B C ?$

Discussion

36.	The sum of (n+1) terms of 11+11+2+11+2+3+.......... is
Answer» The sum of (n+1) terms of $\frac{1}{1} + \frac{1}{1 + 2} + \frac{1}{1 + 2 + 3} + . . . . . . . . . .$ is

Discussion

37.	Question 1 In ΔABC and ΔPQR, ∠A=∠Q and ∠B=∠R. which side of a ΔPQR should be equal to side AB of ΔABC, so that the two triangles are congruent? Give reason for your answer.
Answer» Question 1 In $Δ A B C$ and $Δ P Q R$ , $∠ A = ∠ Q$ and $∠ B = ∠ R$ . which side of a $Δ P Q R$ should be equal to side AB of $Δ A B C$ , so that the two triangles are congruent? Give reason for your answer.

Discussion

38.	Find the area of an equilateral triangle whose side is 4 cm.
Answer» Find the area of an equilateral triangle whose side is $4$ cm.

Discussion

39.	In the figure, lines l1 and l2 instersect at O, forming angles as shown in the figure. If x = 45, find the values of y,z and u.
Answer» In the figure, lines $l_{1}$ and $l_{2}$ instersect at O, forming angles as shown in the figure. If x = 45, find the values of y,z and u.

39.

In the figure, lines l1 and l2 instersect at O, forming angles as shown in the figure. If x = 45, find the values of y,z and u.

Answer»

In the figure, lines $l_{1}$ and $l_{2}$ instersect at O, forming angles as shown in the figure. If x = 45, find the values of y,z and u.

Discussion

40.	In the given figure, O is the centre of a circle in which chords AB and CD intersect at P such that PO bisects ∠BPD. Prove that AB = CD.
Answer» In the given figure, O is the centre of a circle in which chords AB and CD intersect at P such that PO bisects $∠$ BPD. Prove that AB = CD.

40.

In the given figure, O is the centre of a circle in which chords AB and CD intersect at P such that PO bisects ∠BPD. Prove that AB = CD.

Answer»

In the given figure, O is the centre of a circle in which chords AB and CD intersect at P such that PO bisects $∠$ BPD. Prove that AB = CD.

Discussion

41.	The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratio of the surface areas of the balloons in two cases is(a) 1:4 (b) 1:3 (c) 2:3 (d) 1:2
Answer» The radius of a hemispherical balloon increases from $6 c m$ to $12 c m$ as air is being pumped into it. The ratio of the surface areas of the balloons in two cases is (a) $1 : 4$ (b) $1 : 3$ (c) $2 : 3$ (d) $1 : 2$

Discussion

42.	When p(x)=x3−ax2+x is divided by (x+a), the remainder is (a) 0 (b) a (c) 2a (d) 3a
Answer» When $p (x) = x^{3} - a x^{2} + x$ is divided by (x+a), the remainder is (a) 0 (b) a (c) 2a (d) 3a

Discussion

43.	Find the area of a quadrilateral ABCD in which AB = 3cm, BC = 4cm, CD = 4cm, DA = 5cm and AC = 5cm
Answer» Find the area of a quadrilateral ABCD in which AB = 3cm, BC = 4cm, CD = 4cm, DA = 5cm and AC = 5cm

Discussion

44.	Draw an obtuse angle. Bisect it. Measure each of the angles so obtained.
Answer» Draw an obtuse angle. Bisect it. Measure each of the angles so obtained.

Discussion

45.	(305×308) = ? (a) 94940 (b) 93840 (c) 93940 (d) 94840
Answer» $(305 \times 308)$ = ? (a) 94940 (b) 93840 (c) 93940 (d) 94840

Discussion

46.	A cylinderical rod whose height is 8 times of its radius is melted and recast into spherical balls of same radius. The number of balls will be
Answer» A cylinderical rod whose height is 8 times of its radius is melted and recast into spherical balls of same radius. The number of balls will be

Discussion

47.	Which of the following is sufficient for two triangles denoted by Δ1 and Δ2 to be congruent ?
Answer» Which of the following is sufficient for two triangles denoted by $Δ 1$ and $Δ 2$ to be congruent ?

Discussion

48.	The red line indicates the girl's height distribution. The blue line indicates the boy's height distribution. i) Maximum no. of girls belong to which height group ? ii) The difference in the no. of boys to the no. of girls in all the classes is_______.
Answer» The red line indicates the girl's height distribution. The blue line indicates the boy's height distribution. i) Maximum no. of girls belong to which height group ? ii) The difference in the no. of boys to the no. of girls in all the classes is_______.

48.

The red line indicates the girl's height distribution. The blue line indicates the boy's height distribution. i) Maximum no. of girls belong to which height group ? ii) The difference in the no. of boys to the no. of girls in all the classes is_______.

Answer»

The red line indicates the girl's height distribution. The blue line indicates the boy's height distribution.

i) Maximum no. of girls belong to which height group ?

ii) The difference in the no. of boys to the no. of girls in all the classes is_______.

Discussion

49.	In the figure below, lines AB and CD intersect at O. If ∠AOC + ∠BOE = 70∘ and ∠BOD = 40∘, find (2∠BOE).
Answer» In the figure below, lines AB and CD intersect at O. If $∠$ AOC + $∠$ BOE = $70^{\circ}$ and $∠$ BOD = $40^{\circ}$ , find (2 $∠$ BOE).

49.

In the figure below, lines AB and CD intersect at O. If ∠AOC + ∠BOE = 70∘ and ∠BOD = 40∘, find (2∠BOE).

Answer»

In the figure below, lines AB and CD intersect at O. If $∠$ AOC + $∠$ BOE = $70^{\circ}$ and $∠$ BOD = $40^{\circ}$ , find (2 $∠$ BOE).

Discussion

50.	Mary bought a video game as birthday gift to Sam. Sam likes stamp collection and hence Mary wants to cover the video game gift box with square shaped stamps, each of side 2 cm . If the gift box has length, breadth and height as 8 cm, 6 cm and 2 cm respectively, then how many stamps she has to collect so as to cover the entire gift box? [3 MARKS]
Answer» Mary bought a video game as birthday gift to Sam. Sam likes stamp collection and hence Mary wants to cover the video game gift box with square shaped stamps, each of side 2 cm . If the gift box has length, breadth and height as 8 cm, 6 cm and 2 cm respectively, then how many stamps she has to collect so as to cover the entire gift box? [3 MARKS]

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

A cat is at number 3. A rat is at number 10. Assuming both are standing on a number line, how far is the rat from the cat?

The total surface area of a box which is in the form of a cuboid whose dimensions are l×b×h is _______.

Find the mode

The figure shown below is a circle centered at O. AB and CD are ___ of the circle.

Question 75 State whether the statement is True or False. Difference of two negative integers cannot be a positive integer.

Evaluate the exponential expression (−b)4×(−b)5, for b=4. [2 MARKS]

Factorize: 125a3 – 27b3 – 225a2b + 135ab2.

In the figure below, AB = 6 cm and AC = 8 cm. If D and E are the midpoints of AB and AC respectively, find the area of ΔADE (in cm2).

Line DE intersects PQ at O. If ∠POE=3Y,∠QOE=2X and X = 30∘, then (6Y - 3X)=

Two edges of a rectangular sheet of paper having dimensions 14m × 7m are held together so that it forms a cylinder. Find the curved surface area(in sq. cm) of the cylinder.98

The midpoint of the pair of points −√2 and −√3 on the number line is

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs. 27 for a book kept for seven days, while Susy paid Rs. 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day. [4 MARKS]

Rationalise the denominator in 2√3 .

What is the average amount of money spent by Satish if he has spent ₹ 250, ₹ 350, ₹ 300 , ₹ 450 and ₹ 400 in 5 days?

If P is the interoir point of parallelogram ABCD, prove that the sum of area of ΔPAB and ΔPDC is as equal to half of the area of parallelogram ABCD [2 MARKS]

A bag contains sugar that weighs 679 kg and rice that weighs 756.Find the total weight of the bag ?

___ cm is the height of a cylinder whose radius is 14 cm and the total surface area is 2640 sq.cm

Which of the following instruments is unnecessary to draw a right triangle with all 3 sides given?

The dimensions of a room are 9m×8m×6.5m. It has one door of dimensions 2 m×1.5m and two windows each of dimensions 1.5m×1m. Find the cost of whitewashing the walls at Rs6.40 per m2​.

How to represent 4.5 on number line

Find the percent increase in the area of a triangle if its each side is doubled

Two cube each of 10 cm edge are joined end to end. Find surface area of resulting cuboid

0.12333... can be expressed in rational form as

Prove that sin4 θ−cos4 θ=1−2 cos2 θ [3 MARKS]

What is the probability of not picking a face card when you draw a card at random from a pack of 52 cards?

Quadratic equation is a polynomial of degree:

Question 48 Fill in the blanks to make the statement true. (−25)×(−2)=___ .

Question 7 Cost of 4 dozens bananas is Rs 60. How many bananas can be purchased for Rs 12.50?

Which of the following should be the THIRD sentence after rearrangement?

The mean of 16 number is 8. If 2 is added to each number then what will be the new mean

If A - B = {1, 3, 7, 8}, B - A = {2, 4, 6} and A∩B={5}, then the elements of set A and B are ___ and ___ respectively.

Question 24 (ii) A die is thrown twice. What is the probability that 5 will come up at least once?

Question 13 (i) A dice is thrown once. Find the probability of getting a prime number.

In △ABC, the ratio of altitudes BE and CF is equal to one. What can be said about the nature of △ABC?

The sum of (n+1) terms of 11+11+2+11+2+3+.......... is

Question 1 In ΔABC and ΔPQR, ∠A=∠Q and ∠B=∠R. which side of a ΔPQR should be equal to side AB of ΔABC, so that the two triangles are congruent? Give reason for your answer.

Find the area of an equilateral triangle whose side is 4 cm.

In the figure, lines l1 and l2 instersect at O, forming angles as shown in the figure. If x = 45, find the values of y,z and u.

In the given figure, O is the centre of a circle in which chords AB and CD intersect at P such that PO bisects ∠BPD. Prove that AB = CD.

The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratio of the surface areas of the balloons in two cases is(a) 1:4 (b) 1:3 (c) 2:3 (d) 1:2

When p(x)=x3−ax2+x is divided by (x+a), the remainder is (a) 0 (b) a (c) 2a (d) 3a

Find the area of a quadrilateral ABCD in which AB = 3cm, BC = 4cm, CD = 4cm, DA = 5cm and AC = 5cm

Draw an obtuse angle. Bisect it. Measure each of the angles so obtained.

(305×308) = ? (a) 94940 (b) 93840 (c) 93940 (d) 94840

A cylinderical rod whose height is 8 times of its radius is melted and recast into spherical balls of same radius. The number of balls will be

Which of the following is sufficient for two triangles denoted by Δ1 and Δ2 to be congruent ?

The red line indicates the girl's height distribution. The blue line indicates the boy's height distribution. i) Maximum no. of girls belong to which height group ? ii) The difference in the no. of boys to the no. of girls in all the classes is_______.

In the figure below, lines AB and CD intersect at O. If ∠AOC + ∠BOE = 70∘ and ∠BOD = 40∘, find (2∠BOE).

The dimensions of a room are 9m×8m×6.5m. It has one door of dimensions 2 m×1.5m and two windows each of dimensions 1.5m×1m. Find the cost of whitewashing the walls at Rs6.40 per m2.

If A - B = {1, 3, 7, 8}, B - A = {2, 4, 6} and A∩B={5}, then the elements of set A and B are _ and _ respectively.