19743 + Interview Questions in Mathematics

1.	If 12, 54, 42 and d are in direct proportion then d is _____________.
Answer» If 12, 54, 42 and d are in direct proportion then d is _____________.

Discussion

2.	What is the angle between the diagonals of a rhombus? [2 MARKS]
Answer» What is the angle between the diagonals of a rhombus? [2 MARKS]

Discussion

3.	Which rational number should be subtracted from−56to get49?
Answer» $Which rational number should be subtracted from \frac{- 5}{6} to get \frac{4}{9} ?$

Discussion

4.	32 ÷ (-8) = ?-4
Answer» 32 $\div$ (-8) = ? -4

Discussion

5.	The marks obtained by a student in a subject in three different tests were 20, 12, (-4). What is the total overall marks obtained by the student in that subject? [2 MARKS]
Answer» The marks obtained by a student in a subject in three different tests were 20, 12, (-4). What is the total overall marks obtained by the student in that subject? [2 MARKS]

Discussion

6.	In representation of 2 to the power of n, what is n called?
Answer» In representation of 2 to the power of n, what is n called?

Discussion

7.	Add (3+2y−5y2+6y3), (−8+3y+7y3) and (5−6y−8y3+y2).
Answer» Add $(3 + 2 y - 5 y^{2} + 6 y^{3}), (- 8 + 3 y + 7 y^{3})$ and $(5 - 6 y - 8 y^{3} + y^{2})$ .

Discussion

8.	The additive inverse of −21−4 is
Answer» The additive inverse of $\frac{- 21}{- 4}$ is

Discussion

9.	If we are at - 7 on the number line and move 9 units to the right, we would reach ___.
Answer» If we are at - 7 on the number line and move 9 units to the right, we would reach ___.

Discussion

10.	Question 1 (v) Express each number as the product of its prime factors: v) 7429
Answer» Question 1 (v) Express each number as the product of its prime factors: v) 7429

Discussion

11.	As shown in above figure AB and CD are two parallel lines and a line XY passes through them and intersects AB at P & CD at Q. If ∠DQX=x∘ then ∠APY= ___.
Answer» As shown in above figure AB and CD are two parallel lines and a line XY passes through them and intersects AB at P & CD at Q. If $∠ D Q X = x^{\circ}$ then $∠ A P Y =$ ___.

11.

As shown in above figure AB and CD are two parallel lines and a line XY passes through them and intersects AB at P & CD at Q. If ∠DQX=x∘ then ∠APY= ___.

Answer»

As shown in above figure AB and CD are two parallel lines and a line XY passes through them and intersects AB at P & CD at Q. If $∠ D Q X = x^{\circ}$ then $∠ A P Y =$ ___.

Discussion

12.	What is the reciprocal of fraction 818? [2 MARKS]
Answer» What is the reciprocal of fraction $\frac{8}{18}$ ? [2 MARKS]

Discussion

13.	Following are the marks scored by students in an English test worth 45 marks. 31, 26, 23, 26, 33, 34, 32, 33, 33, 37, 33, 54, 30, 45, 25 The mode of the data is _______ .
Answer» Following are the marks scored by students in an English test worth 45 marks. 31, 26, 23, 26, 33, 34, 32, 33, 33, 37, 33, 54, 30, 45, 25 The mode of the data is _______ .

13.

Following are the marks scored by students in an English test worth 45 marks. 31, 26, 23, 26, 33, 34, 32, 33, 33, 37, 33, 54, 30, 45, 25 The mode of the data is _______ .

Answer»

Following are the marks scored by students in an English test worth 45 marks.

31, 26, 23, 26, 33, 34, 32, 33, 33, 37, 33, 54, 30, 45, 25

The mode of the data is _______ .

Discussion

14.	Which of the following is/are equivalent rational numbers with respect to 32?
Answer» Which of the following is/are equivalent rational numbers with respect to $\frac{3}{2}$ ?

Discussion

15.	Question 94 (d) Taking x=−49,y=512 and z=718, find Find the rational number which when multiplied by y to get x.
Answer» Question 94 (d) Taking $x = \frac{- 4}{9}, y = \frac{5}{12}$ and $z = \frac{7}{18},$ find Find the rational number which when multiplied by y to get x.

15.

Question 94 (d) Taking x=−49,y=512 and z=718, find Find the rational number which when multiplied by y to get x.

Answer»

Question 94 (d)

Taking $x = \frac{- 4}{9}, y = \frac{5}{12}$ and $z = \frac{7}{18},$ find

Find the rational number which when multiplied by y to get x.

Discussion

16.	Question 4(vi) Give expression for the following cases. - p multiplied by 5.
Answer» Question 4(vi) Give expression for the following cases. - p multiplied by 5.

16.

Question 4(vi) Give expression for the following cases. - p multiplied by 5.

Answer»

Question 4(vi)

Give expression for the following cases.

- p multiplied by 5.

Discussion

17.	Express 181 in exponential form
Answer» Express $\frac{1}{81}$ in exponential form

Discussion

18.	The value of (729)13×(64)13 is
Answer» The value of $(729)^{\frac{1}{3}} \times (64)^{\frac{1}{3}}$ is

Discussion

19.	Jack, a genius mathematician, built a Time Machine. Unable to find anybody to test it on, he decided to test the time machine on himself. He entered the machine and set it to the future year 2355. Lights flashed, the super generator started and so did time travel, for the first time ever. When everything became normal again, he stepped out of the time machine and noticed the following things: I) There were so many trees, so many that you can’t spot the ground. II) There was 1 river. III) There were nearly 200-400 “Dodo” birds in that area. IV) There were 0 people to be seen anywhere. All these things that he observed (as a mathematician) are:
Answer» Jack, a genius mathematician, built a Time Machine. Unable to find anybody to test it on, he decided to test the time machine on himself. He entered the machine and set it to the future year 2355. Lights flashed, the super generator started and so did time travel, for the first time ever. When everything became normal again, he stepped out of the time machine and noticed the following things: I) There were so many trees, so many that you can’t spot the ground. II) There was 1 river. III) There were nearly 200-400 “Dodo” birds in that area. IV) There were 0 people to be seen anywhere. All these things that he observed (as a mathematician) are:

19.

Jack, a genius mathematician, built a Time Machine. Unable to find anybody to test it on, he decided to test the time machine on himself. He entered the machine and set it to the future year 2355. Lights flashed, the super generator started and so did time travel, for the first time ever. When everything became normal again, he stepped out of the time machine and noticed the following things: I) There were so many trees, so many that you can’t spot the ground. II) There was 1 river. III) There were nearly 200-400 “Dodo” birds in that area. IV) There were 0 people to be seen anywhere. All these things that he observed (as a mathematician) are:

Answer»

Jack, a genius mathematician, built a Time Machine. Unable to find anybody to test it on, he decided to test the time machine on himself. He entered the machine and set it to the future year 2355. Lights flashed, the super generator started and so did time travel, for the first time ever.

When everything became normal again, he stepped out of the time machine and noticed the following things:

I) There were so many trees, so many that you can’t spot the ground.

II) There was 1 river.

III) There were nearly 200-400 “Dodo” birds in that area.

IV) There were 0 people to be seen anywhere.

All these things that he observed (as a mathematician) are:

Discussion

20.	Question 112 Special balances can weigh something as 0.00000001 gram. Express this number in the standard form.
Answer» Question 112 Special balances can weigh something as 0.00000001 gram. Express this number in the standard form.

20.

Question 112 Special balances can weigh something as 0.00000001 gram. Express this number in the standard form.

Answer»

Question 112

Special balances can weigh something as 0.00000001 gram. Express this number in the standard form.

Discussion

21.	Match the following values of y when x = 2 and x = 3 respectively and the relation between x and y.
Answer» Match the following values of y when x = 2 and x = 3 respectively and the relation between x and y.

Discussion

22.	Question 53 (g) Write the following statement in the form of algebraic expressions and write whether is monomial, binomial or trinomial. Area of a triangle with base m and height n.
Answer» Question 53 (g) Write the following statement in the form of algebraic expressions and write whether is monomial, binomial or trinomial. Area of a triangle with base m and height n.

22.

Question 53 (g) Write the following statement in the form of algebraic expressions and write whether is monomial, binomial or trinomial. Area of a triangle with base m and height n.

Answer»

Question 53 (g)

Write the following statement in the form of algebraic expressions and write whether is monomial, binomial or trinomial.

Area of a triangle with base m and height n.

Discussion

23.	What are perimeters of a circle and a square of radius 'r' and side 'a' respectively?
Answer» What are perimeters of a circle and a square of radius 'r' and side 'a' respectively?

Discussion

24.	The result of subtraction 5.443 - 2.343 lies to the left of which of the following numbers on the number line?
Answer» The result of subtraction 5.443 - 2.343 lies to the left of which of the following numbers on the number line?

Discussion

25.	One of the complementary angle is 35∘, find the other angle.
Answer» One of the complementary angle is $35^{\circ}$ , find the other angle.

Discussion

26.	Convert the given decimal fractions to per cents. 2.1
Answer» Convert the given decimal fractions to per cents. $2.1$

Discussion

27.	Question 1 (c) Convert the given fractional numbers to per cents. c) 340
Answer» Question 1 (c) Convert the given fractional numbers to per cents. c) $\frac{3}{40}$

Discussion

28.	Question 1(f) Give first the step you will use to separate the variable and then solve the equation: Y - 4 = 4
Answer» Question 1(f) Give first the step you will use to separate the variable and then solve the equation: Y - 4 = 4

Discussion

29.	Mohan buy 120 coconuts at rupees 40.each and anoyher 150 coconuts at rupees 30 each. He sells the coconuts at rupees 31 each. Find his gain% or loss%
Answer» Mohan buy 120 coconuts at rupees 40.each and anoyher 150 coconuts at rupees 30 each. He sells the coconuts at rupees 31 each. Find his gain% or loss%

Discussion

30.	Nikhil's income is 20% less than that of Akhil. How much percent is Akhil income more than that of Nikhil's.
Answer» Nikhil's income is $20 %$ less than that of Akhil. How much percent is Akhil income more than that of Nikhil's.

Discussion

31.	The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
Answer» The cost price of $20$ articles is the same as the selling price of $x$ articles. If the profit is $25 %$ , then the value of $x$ is:

31.

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

Answer»

The cost price of $20$ articles is the same as the selling price of $x$ articles. If the profit is $25 %$ , then the value of $x$ is:

Discussion

32.	Factorise:16x2−16x+4
Answer» $F a c t o r i s e : 16 x^{2} - 16 x + 4$

Discussion

33.	Anubhav, a student of class VII, was asked to construct an Isosceles right triangle ABC with hypotenuse AC = 13 cm. Which of the following conclusions can help him to construct the triangle?
Answer» Anubhav, a student of class VII, was asked to construct an Isosceles right triangle ABC with hypotenuse AC = 13 cm. Which of the following conclusions can help him to construct the triangle?

Discussion

34.	Rasika has 12 balloons. She gave half of them to her friend Anisha and half from the remaining to Nidhi. How many ballons did she give away effectively?9
Answer» Rasika has 12 balloons. She gave half of them to her friend Anisha and half from the remaining to Nidhi. How many ballons did she give away effectively? 9

Discussion

35.	(-20)×(-7)×(3)
Answer» (-20)×(-7)×(3)

Discussion

36.	Evaluate the exponential expression x5 × x4, forx=2.
Answer» Evaluate the exponential expression $x^{5}$ × $x^{4}$ , for $x = 2$ .

Discussion

37.	There were 7 friends in a birthday party. If 3 friends ate 58 of the cake, 2 others ate 18 of the cake, then what fraction of the cake was left over for the remaining 2 friends?
Answer» There were 7 friends in a birthday party. If 3 friends ate $\frac{5}{8}$ of the cake, 2 others ate $\frac{1}{8}$ of the cake, then what fraction of the cake was left over for the remaining 2 friends?

37.

There were 7 friends in a birthday party. If 3 friends ate 58 of the cake, 2 others ate 18 of the cake, then what fraction of the cake was left over for the remaining 2 friends?

Answer»

There were 7 friends in a birthday party. If 3 friends ate $\frac{5}{8}$ of the cake, 2 others ate $\frac{1}{8}$ of the cake, then what fraction of the cake was left over for the remaining 2 friends?

Discussion

38.	6^12×35^28×15^16/14^12×21^11×5^28=?
Answer» 6^12×35^28×15^16/14^12×21^11×5^28=?

Discussion

39.	How to find the mode and median in case of. 2 4 2 4 5 6
Answer» How to find the mode and median in case of. 2 4 2 4 5 6

Discussion

40.	Question 62 The letters were written on paper slips of the word MEDIAN and put in a bag. If one slip is drawn randomly, what is the probability that it bears the letter D?
Answer» Question 62 The letters were written on paper slips of the word MEDIAN and put in a bag. If one slip is drawn randomly, what is the probability that it bears the letter D?

Discussion

41.	Solve : ( 5.4 + 7.8 × 4 - ( 6 ÷ 4) )
Answer» Solve : ( 5.4 + 7.8 $\times$ 4 - ( 6 $\div$ 4) )

Discussion

42.	Question 69(iii) Given below are heights of 15 boys of a class measured in centimetres: 128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154. Find the range of the given data.
Answer» Question 69(iii) Given below are heights of 15 boys of a class measured in centimetres: 128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154. Find the range of the given data.

Discussion

43.	Question 75(iv) Study the bar graph given below and answer the questions that follow: If 75 and above marks denote a distinction, then name the subjects in which the student got a distinction.
Answer» Question 75(iv) Study the bar graph given below and answer the questions that follow: If 75 and above marks denote a distinction, then name the subjects in which the student got a distinction.

Discussion

44.	A 1.5 m wide footpath runs all along the fence outside a park 40 m long and 30 m wide. What is the perimeter of the fence and what is the area of the footpath?
Answer» A $1.5 m$ wide footpath runs all along the fence outside a park $40 m$ long and $30 m$ wide. What is the perimeter of the fence and what is the area of the footpath?

Discussion

45.	How to find out percentage ?
Answer» How to find out percentage ?

Discussion

46.	If the sum of two numbers is 7x + 7 and one number is -5x + 2, what is the other number?
Answer» If the sum of two numbers is 7x + 7 and one number is -5x + 2, what is the other number?

Discussion

47.	Given the following rational numbers, choose the ones that lie between 1 and 3.
Answer» Given the following rational numbers, choose the ones that lie between 1 and 3.

Discussion

48.	If a set has 8 subsets, then it contains ___ elements.
Answer» If a set has 8 subsets, then it contains ___ elements.

Discussion

49.	343/512 (evaluate in exponential form)
Answer» 343/512 (evaluate in exponential form)

Discussion

50.	If →a×→b=→c, →b×→c=→a and a,b,c be the moduli of the vectors →a, →b, →c respectively, then
Answer» If $\to a \times \to b = \to c, \to b \times \to c = \to a$ and a,b,c be the moduli of the vectors $\to a, \to b, \to c$ respectively, then

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If 12, 54, 42 and d are in direct proportion then d is _____________.

What is the angle between the diagonals of a rhombus? [2 MARKS]

Which rational number should be subtracted from−56to get49?

32 ÷ (-8) = ?-4

The marks obtained by a student in a subject in three different tests were 20, 12, (-4). What is the total overall marks obtained by the student in that subject? [2 MARKS]

In representation of 2 to the power of n, what is n called?

Add (3+2y−5y2+6y3), (−8+3y+7y3) and (5−6y−8y3+y2).

The additive inverse of −21−4 is

If we are at - 7 on the number line and move 9 units to the right, we would reach ___.

Question 1 (v) Express each number as the product of its prime factors: v) 7429

As shown in above figure AB and CD are two parallel lines and a line XY passes through them and intersects AB at P &amp; CD at Q. If ∠DQX=x∘ then ∠APY= ___.

What is the reciprocal of fraction 818? [2 MARKS]

Following are the marks scored by students in an English test worth 45 marks. 31, 26, 23, 26, 33, 34, 32, 33, 33, 37, 33, 54, 30, 45, 25 The mode of the data is _______ .

Which of the following is/are equivalent rational numbers with respect to 32?

Question 94 (d) Taking x=−49,y=512 and z=718, find Find the rational number which when multiplied by y to get x.

Question 4(vi) Give expression for the following cases. - p multiplied by 5.

Express 181 in exponential form

The value of (729)13×(64)13 is

Question 112 Special balances can weigh something as 0.00000001 gram. Express this number in the standard form.

Match the following values of y when x = 2 and x = 3 respectively and the relation between x and y.

Question 53 (g) Write the following statement in the form of algebraic expressions and write whether is monomial, binomial or trinomial. Area of a triangle with base m and height n.

What are perimeters of a circle and a square of radius 'r' and side 'a' respectively?

The result of subtraction 5.443 - 2.343 lies to the left of which of the following numbers on the number line?

One of the complementary angle is 35∘, find the other angle.

Convert the given decimal fractions to per cents. 2.1

Question 1 (c) Convert the given fractional numbers to per cents. c) 340

Question 1(f) Give first the step you will use to separate the variable and then solve the equation: Y - 4 = 4

Mohan buy 120 coconuts at rupees 40.each and anoyher 150 coconuts at rupees 30 each. He sells the coconuts at rupees 31 each. Find his gain% or loss%

Nikhil's income is 20% less than that of Akhil. How much percent is Akhil income more than that of Nikhil's.

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

Factorise:16x2−16x+4

Anubhav, a student of class VII, was asked to construct an Isosceles right triangle ABC with hypotenuse AC = 13 cm. Which of the following conclusions can help him to construct the triangle?

Rasika has 12 balloons. She gave half of them to her friend Anisha and half from the remaining to Nidhi. How many ballons did she give away effectively?9

(-20)×(-7)×(3)

Evaluate the exponential expression x5 × x4, forx=2.

There were 7 friends in a birthday party. If 3 friends ate 58 of the cake, 2 others ate 18 of the cake, then what fraction of the cake was left over for the remaining 2 friends?

6^12×35^28×15^16/14^12×21^11×5^28=?

How to find the mode and median in case of. 2 4 2 4 5 6

Question 62 The letters were written on paper slips of the word MEDIAN and put in a bag. If one slip is drawn randomly, what is the probability that it bears the letter D?

Solve : ( 5.4 + 7.8 × 4 - ( 6 ÷ 4) )

Question 69(iii) Given below are heights of 15 boys of a class measured in centimetres: 128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154. Find the range of the given data.

Question 75(iv) Study the bar graph given below and answer the questions that follow: If 75 and above marks denote a distinction, then name the subjects in which the student got a distinction.

A 1.5 m wide footpath runs all along the fence outside a park 40 m long and 30 m wide. What is the perimeter of the fence and what is the area of the footpath?

How to find out percentage ?

If the sum of two numbers is 7x + 7 and one number is -5x + 2, what is the other number?

Given the following rational numbers, choose the ones that lie between 1 and 3.

If a set has 8 subsets, then it contains ___ elements.

343/512 (evaluate in exponential form)

If →a×→b=→c, →b×→c=→a and a,b,c be the moduli of the vectors →a, →b, →c respectively, then

As shown in above figure AB and CD are two parallel lines and a line XY passes through them and intersects AB at P & CD at Q. If ∠DQX=x∘ then ∠APY= ___.