24740 + Interview Questions in Mathematics

1.	The ratio of chocolates to ice cream cones in a box is 2:5. If there are 10 chocolates in the box, find the number of ice cream cones in it.
Answer» The ratio of chocolates to ice cream cones in a box is 2:5. If there are 10 chocolates in the box, find the number of ice cream cones in it.

Discussion

2.	Mention the Euclid's postulates. [4 MARKS]
Answer» Mention the Euclid's postulates. [4 MARKS]

Discussion

3.	What is the circumference of a circle of radius 7 cm?
Answer» What is the circumference of a circle of radius 7 cm?

Discussion

4.	If x = 1, y = 2 is a solution of the equation 3x + 2y = k, the value of k is ___.
Answer» If x = 1, y = 2 is a solution of the equation 3x + 2y = k, the value of k is ___.

Discussion

5.	A cylindrical tank has a hole of 1 cm2 in its bottom. If the water is allowed to flow into the tank from a tube above it at the rate of 70 cm3/sec. then the maximum height up to which water can rise in the tank is
Answer» A cylindrical tank has a hole of 1 $c m^{2}$ in its bottom. If the water is allowed to flow into the tank from a tube above it at the rate of 70 $c m^{3}$ /sec. then the maximum height up to which water can rise in the tank is

Discussion

6.	If the median of the scores 1, 2, x, 4, 5 (where 1 < 2 < x < 4 < 5) is 3, then find the mean of the scores.
Answer» If the median of the scores 1, 2, x, 4, 5 (where 1 < 2 < x < 4 < 5) is 3, then find the mean of the scores.

Discussion

7.	A parallelogram ABCD whose angle A is 100∘ .Find angle B,C,D
Answer» A parallelogram ABCD whose angle A is $100^{\circ}$ .Find angle B,C,D

Discussion

8.	The table below shows the sale of shirts of various sizes in a week. Shirt size3839404142Number sold6073899023 The size which is demanded the most is ___.
Answer» The table below shows the sale of shirts of various sizes in a week. $\begin{matrix} S h i r t s i z e & 38 & 39 & 40 & 41 & 42 N u m b e r s o l d & 60 & 73 & 89 & 90 & 23 \end{matrix}$ The size which is demanded the most is ___.

8.

The table below shows the sale of shirts of various sizes in a week. Shirt size3839404142Number sold6073899023 The size which is demanded the most is ___.

Answer»

The table below shows the sale of shirts of various sizes in a week.

$\begin{matrix} S h i r t s i z e & 38 & 39 & 40 & 41 & 42 N u m b e r s o l d & 60 & 73 & 89 & 90 & 23 \end{matrix}$

The size which is demanded the most is ___.

Discussion

9.	Question 4 The ascending arrangement of 23,67,1321 is
Answer» Question 4 The ascending arrangement of $\frac{2}{3}, \frac{6}{7}, \frac{13}{21}$ is

9.

Question 4 The ascending arrangement of 23,67,1321 is

Answer»

Question 4

The ascending arrangement of $\frac{2}{3}, \frac{6}{7}, \frac{13}{21}$ is

Discussion

10.	Which of the following has a terminating decimal representation?
Answer» Which of the following has a terminating decimal representation?

Discussion

11.	Find the median of the data 46, 41, 77, 58, 35, 64, 87, 92, 33, 55, 90. In the above data, if 41 and 55 are replaced by 61 and 75 respectively, what will be the new median?
Answer» Find the median of the data 46, 41, 77, 58, 35, 64, 87, 92, 33, 55, 90. In the above data, if 41 and 55 are replaced by 61 and 75 respectively, what will be the new median?

Discussion

12.	In the given figure,ABCD is a trapezium in which AB\|\|DC such that AB=a cm and DC= b cm.If E and F are the midpoints of AD an BC respectively then ar(ABFE):ar(EFCD)=? (a) a:b (b) (a+3b):(3a+b) (c) (3a+b):(a+3b) (d) (2a+b):(3a+b)
Answer» In the given figure,ABCD is a trapezium in which AB\|\|DC such that AB=a cm and DC= b cm.If E and F are the midpoints of AD an BC respectively then ar(ABFE):ar(EFCD)=? (a) a:b (b) (a+3b):(3a+b) (c) (3a+b):(a+3b) (d) (2a+b):(3a+b)

12.

In the given figure,ABCD is a trapezium in which AB||DC such that AB=a cm and DC= b cm.If E and F are the midpoints of AD an BC respectively then ar(ABFE):ar(EFCD)=? (a) a:b (b) (a+3b):(3a+b) (c) (3a+b):(a+3b) (d) (2a+b):(3a+b)

Answer»

In the given figure,ABCD is a trapezium in which AB||DC such that AB=a cm and DC= b cm.If E and F are the midpoints of AD an BC respectively then ar(ABFE):ar(EFCD)=?

(a) a:b

(b) (a+3b):(3a+b)

(c) (3a+b):(a+3b)

(d) (2a+b):(3a+b)

Discussion

13.	Are the following statements true or false ? Give reasons for your answer. (i) Every whole number is a natural number. (ii) Every integer is a rational number. (iii) Every rational number is an integer. (iv) Every natural number is a whole number. (v) Every integer is a whole number. (vi) Every rational number is a whole number.
Answer» Are the following statements true or false ? Give reasons for your answer. (i) Every whole number is a natural number. (ii) Every integer is a rational number. (iii) Every rational number is an integer. (iv) Every natural number is a whole number. (v) Every integer is a whole number. (vi) Every rational number is a whole number.

13.

Are the following statements true or false ? Give reasons for your answer. (i) Every whole number is a natural number. (ii) Every integer is a rational number. (iii) Every rational number is an integer. (iv) Every natural number is a whole number. (v) Every integer is a whole number. (vi) Every rational number is a whole number.

Answer»

Are the following statements true or false ? Give reasons for your answer.

(i) Every whole number is a natural number.

(ii) Every integer is a rational number.

(iii) Every rational number is an integer.

(iv) Every natural number is a whole number.

(v) Every integer is a whole number.

(vi) Every rational number is a whole number.

Discussion

14.	A cone and a hemisphere have equal bases and equal volumes. Find the ratio in their heights.
Answer» A cone and a hemisphere have equal bases and equal volumes. Find the ratio in their heights.

Discussion

15.	The perimeter of a triangle is 300 m. If its sides are in the ratio 3 : 5 : 7. Find the area of the triangle.
Answer» The perimeter of a triangle is 300 m. If its sides are in the ratio 3 : 5 : 7. Find the area of the triangle.

Discussion

16.	Expand (i) (2a−5b−7c)2 (ii) (−3a+4b−5c)2 (iii) (12a−14b+2)2
Answer» Expand (i) $(2 a - 5 b - 7 c)^{2}$ (ii) $(- 3 a + 4 b - 5 c)^{2}$ (iii) $(\frac{1}{2} a - \frac{1}{4} b + 2)^{2}$

Discussion

17.	If 500 tosses of a coin resulted in 230 heads and 270 tails, what is the probability of getting (i)heads (ii)tails?
Answer» If 500 tosses of a coin resulted in 230 heads and 270 tails, what is the probability of getting (i)heads (ii)tails?

Discussion

18.	Write the reciprocal of 2+√3.
Answer» Write the reciprocal of $2 + \sqrt{3}$ .

Discussion

19.	Question 53 Fill in the blanks to make the statements true. In a quadrilateral HOPE, the pairs of opposite sides are ___.
Answer» Question 53 Fill in the blanks to make the statements true. In a quadrilateral HOPE, the pairs of opposite sides are ___.

Discussion

20.	If x+x-1 = 11, Then x2+x2 = ?
Answer» If x+x^-1 = 11, Then x²+x²= ?

Discussion

21.	If 2:3:4 and perimetre =14 ,construct a triangle
Answer» If 2:3:4 and perimetre =14 ,construct a triangle

Discussion

22.	A paper is in the form of a rectangle ABCD in which AB = 20 cm and BC = 14 cm. A semi-circular portion with BC as the diameter is cut off. Find the area of the remaining part.(Use π=227).
Answer» A paper is in the form of a rectangle ABCD in which AB = 20 cm and BC = 14 cm. A semi-circular portion with BC as the diameter is cut off. Find the area of the remaining part. $(U s e π = \frac{22}{7})$ .

Discussion

23.	Explain SAS theorem.
Answer» Explain SAS theorem.

Discussion

24.	If A = 2 + root3 , then find A - 1/A
Answer» If A = 2 + root3 , then find A - 1/A

Discussion

25.	Prove that (a2-b2)3 +(b2-c2)3 +(c2-a2)3 divided by (a-b)3 +(b-c)3+(c-a)3. equals to. (a+b)(b+c)(c+a)
Answer» Prove that (a²-b²)³+(b²-c²)³ +(c²-a²)³ divided by (a-b)³ +(b-c)³+(c-a)^3.equals to. (a+b)(b+c)(c+a)

25.

Prove that (a2-b2)3 +(b2-c2)3 +(c2-a2)3 divided by (a-b)3 +(b-c)3+(c-a)3. equals to. (a+b)(b+c)(c+a)

Answer»

Prove that

(a²-b²)³+(b²-c²)³ +(c²-a²)³ divided by

(a-b)³ +(b-c)³+(c-a)^3.equals to. (a+b)(b+c)(c+a)

Discussion

26.	Show that the tangents at the end points of a diameter of a circle are parallel.
Answer» Show that the tangents at the end points of a diameter of a circle are parallel.

26.

Show that the tangents at the end points of a diameter of a circle are parallel.

Answer»

Show that the tangents at the end points of a diameter of a circle are parallel.

Discussion

27.	A bus travels a distance of 500 km with 70 litres of petrol. The distance covered by the bus with 7 litres of petrol is ___.
Answer» A bus travels a distance of 500 km with 70 litres of petrol. The distance covered by the bus with 7 litres of petrol is ___.

Discussion

28.	After hearing the noise coming from your class, your teacher came into the class and found out what was going on. Then she posed another question, "Which of the following number gives more accurate value of π?”
Answer» After hearing the noise coming from your class, your teacher came into the class and found out what was going on. Then she posed another question, "Which of the following number gives more accurate value of $π$ ?”

Discussion

29.	Two complementary angles are such that twice the measure of the one is equal to the three times the measure of the other .the larger of the two measures
Answer» Two complementary angles are such that twice the measure of the one is equal to the three times the measure of the other .the larger of the two measures

Discussion

30.	Factorise 1-2a-2b-3(a+b)2
Answer» Factorise 1-2a-2b-3(a+b)²

Discussion

31.	What is the short definition of coordinate geometry????
Answer» What is the short definition of coordinate geometry????

Discussion

32.	Question 1 (iii) Does the following figure lie on the same base and between the same parallels? If yes,write the common base and two parallels.
Answer» Question 1 (iii) Does the following figure lie on the same base and between the same parallels? If yes,write the common base and two parallels.

Discussion

33.	The height of a right circular cylinder is 10.5 m. Three times the sum of the areas of its two circular faces is twice the area of the curved surface. Find the volume of the cylinder.
Answer» The height of a right circular cylinder is $10.5 m .$ Three times the sum of the areas of its two circular faces is twice the area of the curved surface. Find the volume of the cylinder.

Discussion

34.	The points A(-4,-1), B (-2,-4), C(4,0) and D(2,3) are the vertices of
Answer» The points A(-4,-1), B (-2,-4), C(4,0) and D(2,3) are the vertices of

Discussion

35.	The conjugate of 4 - 5√5 is _________________
Answer» The conjugate of 4 - 5 $\sqrt{5}$ is _________________

Discussion

36.	Is empty relation reflexive and symmetric always? Give reasons for your answer.
Answer» Is empty relation reflexive and symmetric always? Give reasons for your answer.

Discussion

37.	Match the following table:
Answer» Match the following table:

37.

Match the following table:

Answer»

Match the following table:

Discussion

38.	Which of the following is the correct expanded form of 0.0504?
Answer» Which of the following is the correct expanded form of 0.0504?

Discussion

39.	An equilateral triangle ABC is inscribed in a circle of radius 12 cm, which is centered at O, as shown below. Then the length of the side of this triangle is equal to
Answer» An equilateral triangle ABC is inscribed in a circle of radius 12 cm, which is centered at O, as shown below. Then the length of the side of this triangle is equal to

39.

An equilateral triangle ABC is inscribed in a circle of radius 12 cm, which is centered at O, as shown below. Then the length of the side of this triangle is equal to

Answer»

An equilateral triangle ABC is inscribed in a circle of radius 12 cm, which is centered at O, as shown below. Then the length of the side of this triangle is equal to

Discussion

40.	How many end points does a ray has?
Answer» How many end points does a ray has?

Discussion

41.	A runner completes one round of a circular track of diameter 400 m in 40 s. What will be the distance covered?
Answer» A runner completes one round of a circular track of diameter 400 m in 40 s. What will be the distance covered?

Discussion

42.	Find the median class for the below distribution. ClassCumulative frequency10−20320−301730−402440−503350−6051
Answer» Find the median class for the below distribution. $\begin{matrix} C l a s s & C u m u l a t i v e f r e q u e n c y 10 - 20 & 3 20 - 30 & 17 30 - 40 & 24 40 - 50 & 33 50 - 60 & 51 \end{matrix}$

Discussion

43.	If the radius of the base of a right circular cone is 3r and its height is equal to the radius of the base,then its volume is
Answer» If the radius of the base of a right circular cone is 3r and its height is equal to the radius of the base,then its volume is

Discussion

44.	Points (-4,0) and (7,0) lie
Answer» Points (-4,0) and (7,0) lie

Discussion

45.	If a + b = 7 and ab = 12, find the value of a2+b2.
Answer» If a + b = 7 and ab = 12, find the value of $a^{2} + b^{2} .$

Discussion

46.	Find the values of each of the following correct to three places of decimals, it being given that √2=1.4142, √3=1.732, √5=2.2360, √6=2.4492 and √10=3.162. (i) 3−√53+2√5 (ii) 1+√23−2√2
Answer» Find the values of each of the following correct to three places of decimals, it being given that $\sqrt{2} = 1.4142, \sqrt{3} = 1.732, \sqrt{5} = 2.2360, \sqrt{6} = 2.4492 a n d \sqrt{10} = 3.162$ . (i) $\frac{3 - \sqrt{5}}{3 + 2 \sqrt{5}}$ (ii) $\frac{1 + \sqrt{2}}{3 - 2 \sqrt{2}}$

46.

Find the values of each of the following correct to three places of decimals, it being given that √2=1.4142, √3=1.732, √5=2.2360, √6=2.4492 and √10=3.162. (i) 3−√53+2√5 (ii) 1+√23−2√2

Answer»

Find the values of each of the following correct to three places of decimals, it being given that $\sqrt{2} = 1.4142, \sqrt{3} = 1.732, \sqrt{5} = 2.2360, \sqrt{6} = 2.4492 a n d \sqrt{10} = 3.162$ .

(i) $\frac{3 - \sqrt{5}}{3 + 2 \sqrt{5}}$

(ii) $\frac{1 + \sqrt{2}}{3 - 2 \sqrt{2}}$

Discussion

47.	Find x, if: (i) log3x=0 (ii) logx2=−1 (iii) log9243=x (iv) log5(x−7)=1 (v) log432=x−7 (vi) log7(2x2−1)=2
Answer» Find x, if: (i) $l o g_{3} x = 0$ (ii) $l o g_{x} 2 = - 1$ (iii) $l o g_{9} 243 = x$ (iv) $l o g_{5} (x - 7) = 1$ (v) $l o g_{4} 32 = x - 7$ (vi) $l o g_{7} (2 x^{2} - 1) = 2$

47.

Find x, if: (i) log3x=0 (ii) logx2=−1 (iii) log9243=x (iv) log5(x−7)=1 (v) log432=x−7 (vi) log7(2x2−1)=2

Answer»

Find x, if:

(i) $l o g_{3} x = 0$

(ii) $l o g_{x} 2 = - 1$

(iii) $l o g_{9} 243 = x$

(iv) $l o g_{5} (x - 7) = 1$

(v) $l o g_{4} 32 = x - 7$

(vi) $l o g_{7} (2 x^{2} - 1) = 2$

Discussion

48.	Factorize 2x2−7x+5=0
Answer» Factorize $2 x^{2} - 7 x + 5 = 0$

Discussion

49.	A wall 15 m long, 30 cm wide and 4 m high is made of bricks, each measuring (22 cm×12.5 cm×7.5 cm).If112 of the total volume of the wall consists of mortar, how many bricks are there in the wall ?
Answer» $A wall 15 m long, 30 cm wide and 4 m high is made of bricks, each measuring (22 c m \times 12.5 c m \times 7.5 c m) . I f \frac{1}{12} of the total volume of the wall consists of mortar, how many bricks are there in the wall ?$

Discussion

50.	In a circle of radius 5 cm and centre O, AB and AC are two chords such that AB = AC = 6 cm. AO is the perpendicular bisector to BC. Find the length of the chord BC.
Answer» In a circle of radius 5 cm and centre O, AB and AC are two chords such that AB = AC = 6 cm. AO is the perpendicular bisector to BC. Find the length of the chord BC.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The ratio of chocolates to ice cream cones in a box is 2:5. If there are 10 chocolates in the box, find the number of ice cream cones in it.

Mention the Euclid's postulates. [4 MARKS]

What is the circumference of a circle of radius 7 cm?

If x = 1, y = 2 is a solution of the equation 3x + 2y = k, the value of k is ___.

A cylindrical tank has a hole of 1 cm2 in its bottom. If the water is allowed to flow into the tank from a tube above it at the rate of 70 cm3/sec. then the maximum height up to which water can rise in the tank is

If the median of the scores 1, 2, x, 4, 5 (where 1 &lt; 2 &lt; x &lt; 4 &lt; 5) is 3, then find the mean of the scores.

A parallelogram ABCD whose angle A is 100∘ .Find angle B,C,D

The table below shows the sale of shirts of various sizes in a week. Shirt size3839404142Number sold6073899023 The size which is demanded the most is ___.

Question 4 The ascending arrangement of 23,67,1321 is

Which of the following has a terminating decimal representation?

Find the median of the data 46, 41, 77, 58, 35, 64, 87, 92, 33, 55, 90. In the above data, if 41 and 55 are replaced by 61 and 75 respectively, what will be the new median?

In the given figure,ABCD is a trapezium in which AB||DC such that AB=a cm and DC= b cm.If E and F are the midpoints of AD an BC respectively then ar(ABFE):ar(EFCD)=? (a) a:b (b) (a+3b):(3a+b) (c) (3a+b):(a+3b) (d) (2a+b):(3a+b)

A cone and a hemisphere have equal bases and equal volumes. Find the ratio in their heights.

The perimeter of a triangle is 300 m. If its sides are in the ratio 3 : 5 : 7. Find the area of the triangle.

Expand (i) (2a−5b−7c)2 (ii) (−3a+4b−5c)2 (iii) (12a−14b+2)2

If 500 tosses of a coin resulted in 230 heads and 270 tails, what is the probability of getting (i)heads (ii)tails?

Write the reciprocal of 2+√3.

Question 53 Fill in the blanks to make the statements true. In a quadrilateral HOPE, the pairs of opposite sides are ___.

If x+x​​​​​​-1 = 11, Then x​​​​​​2+x​​​​​​2 = ?

If 2:3:4 and perimetre =14 ,construct a triangle

A paper is in the form of a rectangle ABCD in which AB = 20 cm and BC = 14 cm. A semi-circular portion with BC as the diameter is cut off. Find the area of the remaining part.(Use π=227).

Explain SAS theorem.

If A = 2 + root3 , then find A - 1/A

Prove that (a2​​​​​​-b2)3 +(b2​​​​​​-c2)3 +(c2​​​​​​-a2)3 divided by (a-b)3 +(b-c)3+(c-a)3. equals to. (a+b)(b+c)(c+a)

Show that the tangents at the end points of a diameter of a circle are parallel.

A bus travels a distance of 500 km with 70 litres of petrol. The distance covered by the bus with 7 litres of petrol is ___.

After hearing the noise coming from your class, your teacher came into the class and found out what was going on. Then she posed another question, "Which of the following number gives more accurate value of π?”

Two complementary angles are such that twice the measure of the one is equal to the three times the measure of the other .the larger of the two measures

Factorise 1-2a-2b-3(a+b)2

What is the short definition of coordinate geometry????

Question 1 (iii) Does the following figure lie on the same base and between the same parallels? If yes,write the common base and two parallels.

The height of a right circular cylinder is 10.5 m. Three times the sum of the areas of its two circular faces is twice the area of the curved surface. Find the volume of the cylinder.

The points A(-4,­-1), B (-2,-4), C(4,0) and D(2,3) are the vertices of

The conjugate of 4 - 5√5 is _________________

Is empty relation reflexive and symmetric always? Give reasons for your answer.

Match the following table:

Which of the following is the correct expanded form of 0.0504?

An equilateral triangle ABC is inscribed in a circle of radius 12 cm, which is centered at O, as shown below. Then the length of the side of this triangle is equal to

How many end points does a ray has?

A runner completes one round of a circular track of diameter 400 m in 40 s. What will be the distance covered?

Find the median class for the below distribution. ClassCumulative frequency10−20320−301730−402440−503350−6051

If the radius of the base of a right circular cone is 3r and its height is equal to the radius of the base,then its volume is

Points (-4,0) and (7,0) lie

If a + b = 7 and ab = 12, find the value of a2+b2.

Find the values of each of the following correct to three places of decimals, it being given that √2=1.4142, √3=1.732, √5=2.2360, √6=2.4492 and √10=3.162. (i) 3−√53+2√5 (ii) 1+√23−2√2

Find x, if: (i) log3x=0 (ii) logx2=−1 (iii) log9243=x (iv) log5(x−7)=1 (v) log432=x−7 (vi) log7(2x2−1)=2

Factorize 2x2−7x+5=0

A wall 15 m long, 30 cm wide and 4 m high is made of bricks, each measuring (22 cm×12.5 cm×7.5 cm).If112 of the total volume of the wall consists of mortar, how many bricks are there in the wall ?

In a circle of radius 5 cm and centre O, AB and AC are two chords such that AB = AC = 6 cm. AO is the perpendicular bisector to BC. Find the length of the chord BC.

If the median of the scores 1, 2, x, 4, 5 (where 1 < 2 < x < 4 < 5) is 3, then find the mean of the scores.

If x+x-1 = 11, Then x2+x2 = ?

Prove that (a2-b2)3 +(b2-c2)3 +(c2-a2)3 divided by (a-b)3 +(b-c)3+(c-a)3. equals to. (a+b)(b+c)(c+a)

The points A(-4,-1), B (-2,-4), C(4,0) and D(2,3) are the vertices of