25365 + Interview Questions in Mathematics

1.	A certain sum amounts to Rs. 5,292 in two years and Rs. 5,556.60 in three years, interest being compounded annually. Find: (i) the rate of interest (ii) the original sum.
Answer» A certain sum amounts to Rs. 5,292 in two years and Rs. 5,556.60 in three years, interest being compounded annually. Find: (i) the rate of interest (ii) the original sum.

1.

A certain sum amounts to Rs. 5,292 in two years and Rs. 5,556.60 in three years, interest being compounded annually. Find: (i) the rate of interest (ii) the original sum.

Answer»

A certain sum amounts to Rs. 5,292 in two years and Rs. 5,556.60 in three years, interest being compounded annually. Find:

(i) the rate of interest

(ii) the original sum.

Discussion

2.	State whether the statements are True or False. Question 28 The distance of any point from the X-axis is called the X-coordinates.
Answer» State whether the statements are True or False. Question 28 The distance of any point from the X-axis is called the X-coordinates.

Discussion

3.	Prove that line segment joining the mid-points of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of parallel sides.
Answer» Prove that line segment joining the mid-points of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of parallel sides.

Discussion

4.	Simplify: (0.5u3−u2)(0.5u3−u2)
Answer» Simplify: $(0.5 u^{3} - u^{2}) (0.5 u^{3} - u^{2})$

Discussion

5.	Conversion of rational number into p by q form
Answer» Conversion of rational number into p by q form

Discussion

6.	In the figure below, if DE = 2DC and the area of parallelogram ABCD = 20 square units, find the area of ΔDBC (in square units).
Answer» In the figure below, if DE = 2DC and the area of parallelogram ABCD = 20 square units, find the area of $Δ D B C$ (in square units).

6.

In the figure below, if DE = 2DC and the area of parallelogram ABCD = 20 square units, find the area of ΔDBC (in square units).

Answer»

In the figure below, if DE = 2DC and the area of parallelogram ABCD = 20 square units, find the area of $Δ D B C$ (in square units).

Discussion

7.	The diameter d of a circle is 14 units. Its circumference is unit2
Answer» The diameter $d$ of a circle is 14 units. Its circumference is $u n i t^{2}$

Discussion

8.	Question 64(c)The following table gives the growth chart of a child.Height (in cm)7590110120130Age (in years)246810Draw a line graph for the table and answer the question that follows.(c) Between which two consecutive periods did the child grow faster?
Answer» Question 64(c) The following table gives the growth chart of a child. $\begin{matrix} H e i g h t (i n c m) & 75 & 90 & 110 & 120 & 130 A g e (i n y e a r s) & 2 & 4 & 6 & 8 & 10 \end{matrix}$ Draw a line graph for the table and answer the question that follows. (c) Between which two consecutive periods did the child grow faster?

Discussion

9.	Which among the following is not an irrational number.
Answer» Which among the following is not an irrational number.

Discussion

10.	Question 2Construct the Quadrilateral TRUETR=3.5 cm, RU=3cm, UE=4cm, ∠R=75∘, ∠U=120∘
Answer» Question 2 Construct the Quadrilateral TRUE TR=3.5 cm, RU=3cm, UE=4cm, $∠ R = 75^{\circ}, ∠ U = 120^{\circ}$

Discussion

11.	Which of the following is a random experiment?1) Tossing a coin2) Throwing a die3) Drawing a card out from a deck of 52 cards
Answer» Which of the following is a random experiment? 1) Tossing a coin 2) Throwing a die 3) Drawing a card out from a deck of 52 cards

11.

Which of the following is a random experiment?1) Tossing a coin2) Throwing a die3) Drawing a card out from a deck of 52 cards

Answer»

Which of the following is a random experiment?

1) Tossing a coin

2) Throwing a die

3) Drawing a card out from a deck of 52 cards

Discussion

12.	The length, breadth and height of a cuboid are 2cm, 4cm and 3cm respectively. Then, its Lateral Surface Area is __________.
Answer» The length, breadth and height of a cuboid are 2cm, 4cm and 3cm respectively. Then, its Lateral Surface Area is __________.

Discussion

13.	38. Construct a triangle in which Bc is equal to 5 cm ,Angle B is equal to 60 degree ,ad is equal to 3.5 and AD is perpendicular to BC
Answer» 38. Construct a triangle in which Bc is equal to 5 cm ,Angle B is equal to 60 degree ,ad is equal to 3.5 and AD is perpendicular to BC

Discussion

14.	Divide and write the quotient and the remainder(8p3−4p2)÷2p2
Answer» Divide and write the quotient and the remainder $(8 p^{3} - 4 p^{2}) \div 2 p^{2}$

Discussion

15.	If ∠APB=60∘ and with B as the centre and any radius more than half of AB, another arc is drawn as shown. Taking A as the centre and the same radius as above, cut the previously drawn arc in Y and PY is drawn. What will be the value of ∠BPY?
Answer» If $∠ A P B = 60^{\circ}$ and with B as the centre and any radius more than half of AB, another arc is drawn as shown. Taking A as the centre and the same radius as above, cut the previously drawn arc in Y and PY is drawn. What will be the value of $∠ B P Y$ ?

15.

If ∠APB=60∘ and with B as the centre and any radius more than half of AB, another arc is drawn as shown. Taking A as the centre and the same radius as above, cut the previously drawn arc in Y and PY is drawn. What will be the value of ∠BPY?

Answer»

If $∠ A P B = 60^{\circ}$ and with B as the centre and any radius more than half of AB, another arc is drawn as shown. Taking A as the centre and the same radius as above, cut the previously drawn arc in Y and PY is drawn.

What will be the value of $∠ B P Y$ ?

Discussion

16.	The gravitational force between two bodies is
Answer» The gravitational force between two bodies is

Discussion

17.	Which of the following solids can be formed from the net in the given figure?
Answer» Which of the following solids can be formed from the net in the given figure?

Discussion

18.	Dinesh has a Recurring Deposit Account in a bank for 312 years at 912%p.a. If he gets Rs 78,638 at the time of maturity, find the monthly instalment. [4 MARKS]
Answer» Dinesh has a Recurring Deposit Account in a bank for $3 \frac{1}{2}$ years at $9 \frac{1}{2} % p . a .$ If he gets Rs 78,638 at the time of maturity, find the monthly instalment. [4 MARKS]

Discussion

19.	If x+1x = 3, then find the value of x6+1x6.
Answer» If $x + \frac{1}{x} = 3$ , then find the value of $x^{6} + \frac{1}{x^{6}}$ .

Discussion

20.	Difference of two numbers which are perfect cube is 189 . If the cube root of the smaller of the two numbers is 3, find the cube root of the larger number
Answer» Difference of two numbers which are perfect cube is 189 . If the cube root of the smaller of the two numbers is 3, find the cube root of the larger number

Discussion

21.	The ratio in which the line 5x+3y=-9 divides the segment joining the points (2,3) and (-3,4) isa) 4:3b)-4:3c)-14:5d)-14:3
Answer» The ratio in which the line 5x+3y=-9 divides the segment joining the points (2,3) and (-3,4) is a) 4:3 b)-4:3 c)-14:5 d)-14:3

Discussion

22.

Construct the less than type ogive curve for the following distribution table. Class intervals Frequency 0-5 4 5-10 2 10-15 2 15-20 3 20-25 5

Answer»

Construct the less than type ogive curve for the following distribution table.

Class intervals	Frequency
0-5	4
5-10	2
10-15	2
15-20	3
20-25	5

Discussion

23.	Question 106(ii)Simplify each of the following by using suitable property. Also, name the property[15×215]−[15×25]
Answer» Question 106(ii) Simplify each of the following by using suitable property. Also, name the property $[\frac{1}{5} \times \frac{2}{15}] - [\frac{1}{5} \times \frac{2}{5}]$

Discussion

24.	The SI unit of pressure is ___ .
Answer» The SI unit of pressure is ___ .

Discussion

25.	The common factor in the expression 18x2−36x4+72x6 would be
Answer» The common factor in the expression $18 x^{2} - 36 x^{4} + 72 x^{6}$ would be

Discussion

26.	A triangle has 2 sides 5 cm and 6 cm respectively. What value must the 3rd side be greater than in _________ cm? ___
Answer» A triangle has 2 sides 5 cm and 6 cm respectively. What value must the 3rd side be greater than in _________ cm? ___

Discussion

27.	Solve each of the following equations and also check your result in each case : 2x+53=3x−10
Answer» Solve each of the following equations and also check your result in each case : $\frac{2 x + 5}{3} = 3 x - 10$

27.

Solve each of the following equations and also check your result in each case : 2x+53=3x−10

Answer»

Solve each of the following equations and also check your result in each case :

$\frac{2 x + 5}{3} = 3 x - 10$

Discussion

28.	Each side of a triangle is multiplied by with the sum of the squares of the other two sides. The sum of all such possible results is 6 times the product of sides. The triangle must be _________.
Answer» Each side of a triangle is multiplied by with the sum of the squares of the other two sides. The sum of all such possible results is 6 times the product of sides. The triangle must be _________.

Discussion

29.	Factorize 3x2−27
Answer» Factorize $3 x^{2} - 27$

Discussion

30.	Question 114The number of red blood cells per cubic millimeter of blood is approximately 5.5 million. If the average body contains 5 L of blood what is the total number of red cells in the body? Write the standard form.(1L=1000000 mm3)
Answer» Question 114 The number of red blood cells per cubic millimeter of blood is approximately 5.5 million. If the average body contains 5 L of blood what is the total number of red cells in the body? Write the standard form. $(1 L = 1000000 m m^{3})$

30.

Question 114The number of red blood cells per cubic millimeter of blood is approximately 5.5 million. If the average body contains 5 L of blood what is the total number of red cells in the body? Write the standard form.(1L=1000000 mm3)

Answer»

Question 114

The number of red blood cells per cubic millimeter of blood is approximately 5.5 million. If the average body contains 5 L of blood what is the total number of red cells in the body? Write the standard form.

$(1 L = 1000000 m m^{3})$

Discussion

31.	What is the additive inverse of (-9)?
Answer» What is the additive inverse of (-9)?

Discussion

32.	Text the divisibility of each of the following numbers by 5:(i) 95(ii) 470(iii) 1056(iv) 2735(v) 55053(vi) 35790(vii) 98765(viii) 42658(ix) 77990
Answer» Text the divisibility of each of the following numbers by 5: (i) 95 (ii) 470 (iii) 1056 (iv) 2735 (v) 55053 (vi) 35790 (vii) 98765 (viii) 42658 (ix) 77990

Discussion

33.	Factorise 2x2+11x+15
Answer» Factorise $2 x^{2} + 11 x + 15$

Discussion

34.	If a=2,b=3,c=4, find the value of:(a) 3a−b+2c(b) a2−b2+c2(c) ab−3abc−2ac(d) a2b+bc−3c3−2abc
Answer» $If a = 2, b = 3, c = 4, find the value of:$ $(a) 3 a - b + 2 c$ $(b) a^{2} - b^{2} + c^{2}$ $(c) a b - 3 a b c - 2 a c$ $(d) a^{2} b + b c - 3 c^{3} - 2 a b c$

Discussion

35.	4. If P(n): 3
Answer» 4. If P(n): 3

Discussion

36.	Write down divisibility rule for 5.
Answer» Write down divisibility rule for 5.

Discussion

37.	Enter the value of 652.4225
Answer» Enter the value of 65². 4225

Discussion

38.	The marks scored by 40 candidates in an examination (out of 100) is given below:75, 65, 57, 50, 32, 54, 75, 67, 75, 88, 80, 42, 40, 41, 34, 78, 43, 61,42, 46, 68, 52, 43, 49, 59, 49, 67, 34, 33, 87, 97, 47, 46, 54, 48, 45,51, 47, 41, 43.Prepare a frequency distribution table with the class size 10. Take the class intervals as (30 - 39), (40 - 49), … and answer the following question:(a) Which class intervals have highest and lowest frequency?(b) Write the upper and lower limits of the class interval 30-39.(c) What is the range of he given distribution?
Answer» The marks scored by 40 candidates in an examination (out of 100) is given below: 75, 65, 57, 50, 32, 54, 75, 67, 75, 88, 80, 42, 40, 41, 34, 78, 43, 61, 42, 46, 68, 52, 43, 49, 59, 49, 67, 34, 33, 87, 97, 47, 46, 54, 48, 45, 51, 47, 41, 43. Prepare a frequency distribution table with the class size 10. Take the class intervals as (30 - 39), (40 - 49), … and answer the following question: (a) Which class intervals have highest and lowest frequency? (b) Write the upper and lower limits of the class interval 30-39. (c) What is the range of he given distribution?

38.

The marks scored by 40 candidates in an examination (out of 100) is given below:75, 65, 57, 50, 32, 54, 75, 67, 75, 88, 80, 42, 40, 41, 34, 78, 43, 61,42, 46, 68, 52, 43, 49, 59, 49, 67, 34, 33, 87, 97, 47, 46, 54, 48, 45,51, 47, 41, 43.Prepare a frequency distribution table with the class size 10. Take the class intervals as (30 - 39), (40 - 49), … and answer the following question:(a) Which class intervals have highest and lowest frequency?(b) Write the upper and lower limits of the class interval 30-39.(c) What is the range of he given distribution?

Answer»

The marks scored by 40 candidates in an examination (out of 100) is given below:

75, 65, 57, 50, 32, 54, 75, 67, 75, 88, 80, 42, 40, 41, 34, 78, 43, 61,

42, 46, 68, 52, 43, 49, 59, 49, 67, 34, 33, 87, 97, 47, 46, 54, 48, 45,

51, 47, 41, 43.

Prepare a frequency distribution table with the class size 10. Take the class intervals as (30 - 39), (40 - 49), … and answer the following question:

(a) Which class intervals have highest and lowest frequency?

(b) Write the upper and lower limits of the class interval 30-39.

(c) What is the range of he given distribution?

Discussion

39.	Question 1(i)Evaluate:3−2
Answer» Question 1(i) Evaluate: $3^{- 2}$

39.

Question 1(i)Evaluate:3−2

Answer»

Question 1(i)

Evaluate:

$3^{- 2}$

Discussion

40.	A jug has 4 quarts of water. 3 pints of water is additionally added to it. Find the total liquid in the jug in pints.
Answer» $A jug has 4 quarts of water.$ $3 pints of water is additionally added to it.$ $Find the total liquid in the jug in pints.$

Discussion

41.	The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3:2. The area of the triangle is sq cm.
Answer» The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3:2. The area of the triangle is sq cm.

Discussion

42.	If }n 'is a natural number, then }4^n-3^n ends with a digit }x . The number of possible values of }x
Answer» If }n 'is a natural number, then }4^n-3^n ends with a digit }x . The number of possible values of }x

Discussion

43.	Question 4(i)Find the multiplicative inverse of the following: -13
Answer» Question 4(i) Find the multiplicative inverse of the following: -13

Discussion

44.	Which of the following are polygons?
Answer» Which of the following are polygons?

Discussion

45.	Factorize and then divide 5x3+16x2+12x by (x+2). Find the value of 5x3+16x2+12x for x=3. [4 MARKS]
Answer» Factorize and then divide $5 x^{3} + 16 x^{2} + 12 x$ by $(x + 2)$ . Find the value of $5 x^{3} + 16 x^{2} + 12 x$ for $x = 3.$ [4 MARKS]

Discussion

46.	Which of the following will have 1 in its unit's place?
Answer» Which of the following will have 1 in its unit's place?

Discussion

47.	In the figure shown, dotted lines represent corresponding heights of the triangles to the bases they are kept on. Pick the correct option.
Answer» In the figure shown, dotted lines represent corresponding heights of the triangles to the bases they are kept on. Pick the correct option.

47.

In the figure shown, dotted lines represent corresponding heights of the triangles to the bases they are kept on. Pick the correct option.

Answer»

In the figure shown, dotted lines represent corresponding heights of the triangles to the bases they are kept on. Pick the correct option.

Discussion

48.	What quadrant is the point (1, 3) in?
Answer» What quadrant is the point (1, 3) in?

Discussion

49.	{ For all }a,b∈ R, the function }f(x)=3x^4-4x^3+6x^2}{+ax+b has
Answer» { For all }a,b∈ R, the function }f(x)=3x^4-4x^3+6x^2}{+ax+b has

Discussion

50.

There are 3 cab companies A, B and C. They provide cab service at different time slots. The time taken for the trip depends upon the driver skill. The bar graph shown below gives the details.Suppose you have to reach your class as early as possible before 10 am. Which of the cabs will you choose and which time slot?

Answer»

There are 3 cab companies A, B and C. They provide cab service at different time slots. The time taken for the trip depends upon the driver skill. The bar graph shown below gives the details.

Suppose you have to reach your class as early as possible before 10 am. Which of the cabs will you choose and which time slot?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

A certain sum amounts to Rs. 5,292 in two years and Rs. 5,556.60 in three years, interest being compounded annually. Find: (i) the rate of interest (ii) the original sum.

State whether the statements are True or False. Question 28 The distance of any point from the X-axis is called the X-coordinates.

Prove that line segment joining the mid-points of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of parallel sides.

Simplify: (0.5u3−u2)(0.5u3−u2)

Conversion of rational number into p by q form

In the figure below, if DE = 2DC and the area of parallelogram ABCD = 20 square units, find the area of ΔDBC (in square units).

The diameter d of a circle is 14 units. Its circumference is unit2

Question 64(c)The following table gives the growth chart of a child.Height (in cm)7590110120130Age (in years)246810Draw a line graph for the table and answer the question that follows.(c) Between which two consecutive periods did the child grow faster?

Which among the following is not an irrational number.

Question 2Construct the Quadrilateral TRUETR=3.5 cm, RU=3cm, UE=4cm, ∠R=75∘, ∠U=120∘

Which of the following is a random experiment?1) Tossing a coin2) Throwing a die3) Drawing a card out from a deck of 52 cards

The length, breadth and height of a cuboid are 2cm, 4cm and 3cm respectively. Then, its Lateral Surface Area is __________.

38. Construct a triangle in which Bc is equal to 5 cm ,Angle B is equal to 60 degree ,ad is equal to 3.5 and AD is perpendicular to BC

Divide and write the quotient and the remainder(8p3−4p2)÷2p2

If ∠APB=60∘ and with B as the centre and any radius more than half of AB, another arc is drawn as shown. Taking A as the centre and the same radius as above, cut the previously drawn arc in Y and PY is drawn. What will be the value of ∠BPY?

The gravitational force between two bodies is

Which of the following solids can be formed from the net in the given figure?

Dinesh has a Recurring Deposit Account in a bank for 312 years at 912%p.a. If he gets Rs 78,638 at the time of maturity, find the monthly instalment. [4 MARKS]

If x+1x = 3, then find the value of x6+1x6.

Difference of two numbers which are perfect cube is 189 . If the cube root of the smaller of the two numbers is 3, find the cube root of the larger number

The ratio in which the line 5x+3y=-9 divides the segment joining the points (2,3) and (-3,4) isa) 4:3b)-4:3c)-14:5d)-14:3

Construct the less than type ogive curve for the following distribution table. Class intervals Frequency 0-5 4 5-10 2 10-15 2 15-20 3 20-25 5

Question 106(ii)Simplify each of the following by using suitable property. Also, name the property[15×215]−[15×25]

The SI unit of pressure is ___ .

The common factor in the expression 18x2−36x4+72x6 would be

A triangle has 2 sides 5 cm and 6 cm respectively. What value must the 3rd side be greater than in _________ cm? ___

Solve each of the following equations and also check your result in each case : 2x+53=3x−10

Each side of a triangle is multiplied by with the sum of the squares of the other two sides. The sum of all such possible results is 6 times the product of sides. The triangle must be _________.

Factorize 3x2−27

Question 114The number of red blood cells per cubic millimeter of blood is approximately 5.5 million. If the average body contains 5 L of blood what is the total number of red cells in the body? Write the standard form.(1L=1000000 mm3)

What is the additive inverse of (-9)?

Text the divisibility of each of the following numbers by 5:(i) 95(ii) 470(iii) 1056(iv) 2735(v) 55053(vi) 35790(vii) 98765(viii) 42658(ix) 77990

Factorise 2x2+11x+15

If a=2,b=3,c=4, find the value of:(a) 3a−b+2c(b) a2−b2+c2(c) ab−3abc−2ac(d) a2b+bc−3c3−2abc

4. If P(n): 3

Write down divisibility rule for 5.

Enter the value of 652.4225

Question 1(i)Evaluate:3−2

A jug has 4 quarts of water. 3 pints of water is additionally added to it. Find the total liquid in the jug in pints.

The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3:2. The area of the triangle is sq cm.

If }n 'is a natural number, then }4^n-3^n ends with a digit }x . The number of possible values of }x

Question 4(i)Find the multiplicative inverse of the following: -13

Which of the following are polygons?

Factorize and then divide 5x3+16x2+12x by (x+2). Find the value of 5x3+16x2+12x for x=3. [4 MARKS]

Which of the following will have 1 in its unit's place?

In the figure shown, dotted lines represent corresponding heights of the triangles to the bases they are kept on. Pick the correct option.

What quadrant is the point (1, 3) in?

{ For all }a,b∈ R, the function }f(x)=3x^4-4x^3+6x^2}{+ax+b has

A triangle has 2 sides 5 cm and 6 cm respectively. What value must the 3rd side be greater than in _______ cm? _