25365 + Interview Questions in Mathematics

1.	Question 5(ii) Obtain the product of: 2,4y,8y2,16y3
Answer» Question 5(ii) Obtain the product of: $2, 4 y, 8 y^{2}, 16 y^{3}$

Discussion

2.	LCM of v2−v, (v−1)2, and v3−1
Answer» LCM of $v^{2} - v$ , $(v - 1)^{2}$ , and $v^{3} - 1$

Discussion

3.	What does translation do to an object?
Answer» What does translation do to an object?

Discussion

4.	Sir, How can I by heart the first twenty square number. Can I have any trick or tip to by heart
Answer» Sir, How can I by heart the first twenty square number. Can I have any trick or tip to by heart

4.

Sir, How can I by heart the first twenty square number. Can I have any trick or tip to by heart

Answer»

Sir,

How can I by heart the first twenty square number. Can I have any trick or tip to by heart

Discussion

5.	A line segment AB has two points lying inside it namely P and Q. Length of the Line is 18 cm. Distance of P from A is 6 cm and that of Q from A is 9 cm. Find the ratio PQ : PB.
Answer» A line segment AB has two points lying inside it namely P and Q. Length of the Line is 18 cm. Distance of P from A is 6 cm and that of Q from A is 9 cm. Find the ratio PQ : PB.

5.

A line segment AB has two points lying inside it namely P and Q. Length of the Line is 18 cm. Distance of P from A is 6 cm and that of Q from A is 9 cm. Find the ratio PQ : PB.

Answer»

A line segment AB has two points lying inside it namely P and Q.

Length of the Line is 18 cm. Distance of P from A is 6 cm and that of Q from A is 9 cm.

Find the ratio PQ : PB.

Discussion

6.	A number multiplied with itself three times gives 1331. The number is:
Answer» A number multiplied with itself three times gives 1331. The number is:

Discussion

7.	Find the area of a square whose side is 2 m
Answer» Find the area of a square whose side is 2 m

Discussion

8.	Factorise it :- 14(3y - 5z)3 + 7(3y - 5)2
Answer» Factorise it :- 14(3y - 5z)³+ 7(3y - 5)²

8.

Factorise it :- 14(3y - 5z)3 + 7(3y - 5)2

Answer»

Factorise it :-

14(3y - 5z)³+ 7(3y - 5)²

Discussion

9.	Can a quantity have dimensions but still has no units?
Answer» Can a quantity have dimensions but still has no units?

Discussion

10.	The type of graph which should be used to represent the given data is a ___. Weights(Kg)40−4545−5050−5555−6060−65No.of Person4121365.
Answer» The type of graph which should be used to represent the given data is a ___. $\begin{matrix} W e i g h t s (K g) & 40 - 45 & 45 - 50 & 50 - 55 & 55 - 60 & 60 - 65 N o . o f P e r s o n & 4 & 12 & 13 & 6 & 5 \end{matrix}$ .

10.

The type of graph which should be used to represent the given data is a ___. Weights(Kg)40−4545−5050−5555−6060−65No.of Person4121365.

Answer»

The type of graph which should be used to represent the given data is a ___.

$\begin{matrix} W e i g h t s (K g) & 40 - 45 & 45 - 50 & 50 - 55 & 55 - 60 & 60 - 65 N o . o f P e r s o n & 4 & 12 & 13 & 6 & 5 \end{matrix}$ .

Discussion

11.	Verify that -(-x) =x for x=11 upon 15
Answer» Verify that -(-x) =x for x=11 upon 15

Discussion

12.	The weekly wages (in Rs) of 30 workers in a factory are given:830, 835, 890, 810, 835, 836, 869, 845,898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878,840, 868, 890, 806, 840 Marks a frequency table with intervals as 800-810, 810-820 and so on, using tally marks Also, draw a histogram and answer the following questions: (i) Which group has the maximum number of workers? (ii) How many workers earn Rs 850 and more? (iii) How many workers earn less than Rs 850?
Answer» The weekly wages (in Rs) of 30 workers in a factory are given:830, 835, 890, 810, 835, 836, 869, 845,898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878,840, 868, 890, 806, 840 Marks a frequency table with intervals as 800-810, 810-820 and so on, using tally marks Also, draw a histogram and answer the following questions: (i) Which group has the maximum number of workers? (ii) How many workers earn Rs 850 and more? (iii) How many workers earn less than Rs 850?

12.

The weekly wages (in Rs) of 30 workers in a factory are given:830, 835, 890, 810, 835, 836, 869, 845,898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878,840, 868, 890, 806, 840 Marks a frequency table with intervals as 800-810, 810-820 and so on, using tally marks Also, draw a histogram and answer the following questions: (i) Which group has the maximum number of workers? (ii) How many workers earn Rs 850 and more? (iii) How many workers earn less than Rs 850?

Answer»

The weekly wages (in Rs) of 30 workers in a factory are given:830, 835, 890, 810, 835, 836, 869, 845,898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878,840, 868, 890, 806, 840 Marks a frequency table with intervals as 800-810, 810-820 and so on, using tally marks Also, draw a histogram and answer the following questions:

(i) Which group has the maximum number of workers?

(ii) How many workers earn Rs 850 and more?

(iii) How many workers earn less than Rs 850?

Discussion

13.	Take a two-digit number ab and reverse its digits. If the difference between ab and the new number is cd, then by which number is cd divisible?9
Answer» Take a two-digit number ab and reverse its digits. If the difference between ab and the new number is cd, then by which number is cd divisible? 9

Discussion

14.	Question 105 Solve the following question: What is the least number, that should be subtracted from 1385 to get a perfect square? Also, find the square root of the perfect square.
Answer» Question 105 Solve the following question: What is the least number, that should be subtracted from 1385 to get a perfect square? Also, find the square root of the perfect square.

14.

Question 105 Solve the following question: What is the least number, that should be subtracted from 1385 to get a perfect square? Also, find the square root of the perfect square.

Answer»

Question 105

Solve the following question:

What is the least number, that should be subtracted from 1385 to get a perfect square? Also, find the square root of the perfect square.

Discussion

15.	three consecutive integers add up to 51 what are these integer
Answer» three consecutive integers add up to 51 what are these integer

Discussion

16.	A sum of money is borrowed at C.I. payable annually. The interests for the second and third years are Rs 330 and Rs 363 respectively. Find the sum.
Answer» A sum of money is borrowed at C.I. payable annually. The interests for the second and third years are Rs 330 and Rs 363 respectively. Find the sum.

Discussion

17.	A certain sum of money amounts to Rs 5292 in 2 years and Rs 5556.60 in 3years, interest being compounded annually. Find the the sum.
Answer» A certain sum of money amounts to Rs 5292 in 2 years and Rs 5556.60 in 3years, interest being compounded annually. Find the the sum.

Discussion

18.	How can we factorise trinomials?
Answer» How can we factorise trinomials?

Discussion

19.	It takes one minute to fill 4/5 of a tank. How much time is needed to fill an empty tank?
Answer» It takes one minute to fill 4/5 of a tank. How much time is needed to fill an empty tank?

Discussion

20.	Using suitable identity solve (0.99)raised to the power 2.
Answer» Using suitable identity solve (0.99)raised to the power 2.

Discussion

21.	The difference between the compound interest in a year compounded half yearly and the simple interest in a year on a certain sum of money lent at 10% p.a. is Rs 15. Find the sum of money lent.
Answer» The difference between the compound interest in a year compounded half yearly and the simple interest in a year on a certain sum of money lent at 10% p.a. is Rs 15. Find the sum of money lent.

Discussion

22.	LSA of a cuboid having length l, breadth b and height h is equal to :
Answer» LSA of a cuboid having length l, breadth b and height h is equal to :

Discussion

23.	Factorise: 8(x-3y)(x-3y)+4(x-3y)
Answer» Factorise: 8(x-3y)(x-3y)+4(x-3y)

Discussion

24.	Multiplicative inverse of (-3/7)to the power of -5 a)(-3/7)to the power of 5 b)(3/5)to the power of -5 c)(5/3)to the power of 5 d)(3/7)to the power of -1
Answer» Multiplicative inverse of (-3/7)to the power of -5 a)(-3/7)to the power of 5 b)(3/5)to the power of -5 c)(5/3)to the power of 5 d)(3/7)to the power of -1

Discussion

25.	Rohan marked 7 points on a plane paper. Which of the following combinations result in a quadrilateral (all points need to be joined)?
Answer» Rohan marked 7 points on a plane paper. Which of the following combinations result in a quadrilateral (all points need to be joined)?

Discussion

26.	2^1990 / 1990
Answer» 2^1990 / 1990

Discussion

27.	What will Rs. 125000 amount to at the rate of 6% if interest is calculated after every 4 months for one year?
Answer» What will Rs. 125000 amount to at the rate of $6 %$ if interest is calculated after every 4 months for one year?

Discussion

28.	Question 10 (i) The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. (i) Find the population in 2001.
Answer» Question 10 (i) The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. (i) Find the population in 2001.

Discussion

29.	Factorize the following : 28a2+14a2b2−21a4
Answer» Factorize the following : $28 a^{2} + 14 a^{2} b^{2} - 21 a^{4}$

29.

Factorize the following : 28a2+14a2b2−21a4

Answer»

Factorize the following :

$28 a^{2} + 14 a^{2} b^{2} - 21 a^{4}$

Discussion

30.	Question 13 - (-x) is same as (a) -x (b) x (c) 1x (d) −1x
Answer» Question 13 - (-x) is same as (a) -x (b) x (c) $\frac{1}{x}$ (d) $\frac{- 1}{x}$

Discussion

31.	Question 3(ii) Find the value of: (2−1×4−1)÷2−2
Answer» Question 3(ii) Find the value of: $(2^{- 1} \times 4^{- 1}) \div 2^{- 2}$

31.

Question 3(ii) Find the value of: (2−1×4−1)÷2−2

Answer»

Question 3(ii)
Find the value of:

$(2^{- 1} \times 4^{- 1}) \div 2^{- 2}$

Discussion

32.	Plot the points (2,8), (7,8), (12,8).Join these points in pairs. Do they lie on a line? What do you observe ?
Answer» Plot the points (2,8), (7,8), (12,8).Join these points in pairs. Do they lie on a line? What do you observe ?

Discussion

33.	The number (ab + ba) is divisible by 11
Answer» The number (ab + ba) is divisible by 11

Discussion

34.	The difference between inside and outside surfaces of a cylindrical tube 14cm long is 88 sq. cm. If the volume of the tube is 176 cubic cm, Find the inner and outer radii of the tube.
Answer» The difference between inside and outside surfaces of a cylindrical tube 14cm long is 88 sq. cm. If the volume of the tube is 176 cubic cm, Find the inner and outer radii of the tube.

Discussion

35.	Verify division algorithm i.e., Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder : (i)14x2+13x−157x−4(ii)15z2−20z2+13z−123z−6(iii)6y5−28y3+3y2+30y−92y2−6(iv)34x−22x3−12x4−10x2−753x+7(v)15y4−16y3+9y2−103y+63y−2(vi)4y3+8y+8y2+72y2−y+1(vii)6y5+4y4+4y3+7y2+27y+62y3+1
Answer» Verify division algorithm i.e., Dividend = Divisor $\times$ Quotient + Remainder, in each of the following. Also, write the quotient and remainder : $\begin{matrix} (i) & 14 x^{2} + 13 x - 15 & 7 x - 4 (i i) & 15 z^{2} - 20 z^{2} + 13 z - 12 & 3 z - 6 (i i i) & 6 y^{5} - 28 y^{3} + 3 y^{2} + 30 y - 9 & 2 y^{2} - 6 (i v) & 34 x - 22 x^{3} - 12 x^{4} - 10 x^{2} - 75 & 3 x + 7 (v) & 15 y^{4} - 16 y^{3} + 9 y^{2} - \frac{10}{3} y + 6 & 3 y - 2 (v i) & 4 y^{3} + 8 y + 8 y^{2} + 7 & 2 y^{2} - y + 1 (v i i) & 6 y^{5} + 4 y^{4} + 4 y^{3} + 7 y^{2} + 27 y + 6 & 2 y^{3} + 1 \end{matrix}$

35.

Verify division algorithm i.e., Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder : (i)14x2+13x−157x−4(ii)15z2−20z2+13z−123z−6(iii)6y5−28y3+3y2+30y−92y2−6(iv)34x−22x3−12x4−10x2−753x+7(v)15y4−16y3+9y2−103y+63y−2(vi)4y3+8y+8y2+72y2−y+1(vii)6y5+4y4+4y3+7y2+27y+62y3+1

Answer»

Verify division algorithm i.e., Dividend = Divisor $\times$ Quotient + Remainder, in each of the following. Also, write the quotient and remainder :

$\begin{matrix} (i) & 14 x^{2} + 13 x - 15 & 7 x - 4 (i i) & 15 z^{2} - 20 z^{2} + 13 z - 12 & 3 z - 6 (i i i) & 6 y^{5} - 28 y^{3} + 3 y^{2} + 30 y - 9 & 2 y^{2} - 6 (i v) & 34 x - 22 x^{3} - 12 x^{4} - 10 x^{2} - 75 & 3 x + 7 (v) & 15 y^{4} - 16 y^{3} + 9 y^{2} - \frac{10}{3} y + 6 & 3 y - 2 (v i) & 4 y^{3} + 8 y + 8 y^{2} + 7 & 2 y^{2} - y + 1 (v i i) & 6 y^{5} + 4 y^{4} + 4 y^{3} + 7 y^{2} + 27 y + 6 & 2 y^{3} + 1 \end{matrix}$

Discussion

36.	Which of the following are the factors of a4−b4?
Answer» Which of the following are the factors of $a^{4} - b^{4}$ ?

Discussion

37.	The number of sides of a regular polygon whose each interior angle is 135∘
Answer» The number of sides of a regular polygon whose each interior angle is $135^{\circ}$

Discussion

38.	Factorise: abx2+a2x+b2x+ab
Answer» Factorise: $a b x^{2} + a^{2} x + b^{2} x + a b$

Discussion

39.	If Point A' (3, 6) is the image of Point A(1, 2) under a dilation with respect to the origin, what is the constant of dilation?
Answer» If Point A' (3, 6) is the image of Point A(1, 2) under a dilation with respect to the origin, what is the constant of dilation?

39.

If Point A' (3, 6) is the image of Point A(1, 2) under a dilation with respect to the origin, what is the constant of dilation?

Answer»

If Point A' (3, 6) is the image of Point A(1, 2) under a dilation with respect to the origin, what is the constant of dilation?

Discussion

40.	Factor out the greatest common factor from the following polynomial. 8x4−4x3+10x2
Answer» Factor out the greatest common factor from the following polynomial. $8 x^{4} - 4 x^{3} + 10 x^{2}$

40.

Factor out the greatest common factor from the following polynomial. 8x4−4x3+10x2

Answer»

Factor out the greatest common factor from the following polynomial.

$8 x^{4} - 4 x^{3} + 10 x^{2}$

Discussion

41.	The side of a cube measures 0.12cm. The volume of this cube will be equal to
Answer» The side of a cube measures 0.12cm. The volume of this cube will be equal to

Discussion

42.	Question 97(ii) The following pie chart depicts the expenditure of a state government under different heads : How many times is the amount of money spents on education compared to the amount spent on roads ?
Answer» Question 97(ii) The following pie chart depicts the expenditure of a state government under different heads : How many times is the amount of money spents on education compared to the amount spent on roads ?

42.

Question 97(ii) The following pie chart depicts the expenditure of a state government under different heads : How many times is the amount of money spents on education compared to the amount spent on roads ?

Answer»

Question 97(ii)

The following pie chart depicts the expenditure of a state government under different heads :

How many times is the amount of money spents on education compared to the amount spent on roads ?

Discussion

43.	Question 4(vii) Simplify : (m2−n2m)2+2m3n2
Answer» Question 4(vii) Simplify : $(m^{2} - n^{2} m)^{2} + 2 m^{3} n^{2}$

Discussion

44.	Kumar invests Rs.36,000 in buying Rs.100 shares at Rs.20 premium. The dividend is 15% per annum. Find
Answer» Kumar invests Rs.36,000 in buying Rs.100 shares at Rs.20 premium. The dividend is 15% per annum. Find

44.

Kumar invests Rs.36,000 in buying Rs.100 shares at Rs.20 premium. The dividend is 15% per annum. Find

Answer»

Kumar invests Rs.36,000 in buying Rs.100 shares at Rs.20 premium. The dividend is 15% per annum.

Find

Discussion

45.	51737×45152×1117+234=?
Answer» $5 \frac{17}{37} \times 4 \frac{51}{52} \times 11 \frac{1}{7} + 2 \frac{3}{4} = ?$

Discussion

46.	If a number has 2 or 8 in the unit’s place, then its square ends in ___ .
Answer» If a number has 2 or 8 in the unit’s place, then its square ends in ___ .

Discussion

47.	Question 108(iv) Verify the property x×y=y×x of rational numbers by using x=−38 and y=−49
Answer» Question 108(iv) Verify the property $x \times y = y \times x$ of rational numbers by using $x = \frac{- 3}{8}$ and $y = \frac{- 4}{9}$

Discussion

48.	Question 92 (i) Radius of a cylinder is r and the height is h. Find the change in the volume if the height is doubled.
Answer» Question 92 (i) Radius of a cylinder is r and the height is h. Find the change in the volume if the height is doubled.

48.

Question 92 (i) Radius of a cylinder is r and the height is h. Find the change in the volume if the height is doubled.

Answer»

Question 92 (i)

Radius of a cylinder is r and the height is h. Find the change in the volume if the height is doubled.

Discussion

49.	Question 4 The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. Find the area of the field.
Answer» Question 4 The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. Find the area of the field.

Discussion

50.	Q. Amal's income consists of his salary and tips. During a month his tips were 54th of his salary. What fraction of his income came from tips? Q. अमाल की आय में उसका वेतन और बख्शीस शामिल हैं। एक महीने के दौरान उसकी बख्शीस उसके वेतन की (5/4) थी। उसकी आय का कितना हिस्सा बख्शीस से आया?
Answer» Q. Amal's income consists of his salary and tips. During a month his tips were $\frac{5}{4}$ th of his salary. What fraction of his income came from tips? Q. अमाल की आय में उसका वेतन और बख्शीस शामिल हैं। एक महीने के दौरान उसकी बख्शीस उसके वेतन की (5/4) थी। उसकी आय का कितना हिस्सा बख्शीस से आया?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Question 5(ii) Obtain the product of: 2,4y,8y2,16y3

LCM of v2−v, (v−1)2, and v3−1

What does translation do to an object?

Sir, How can I by heart the first twenty square number. Can I have any trick or tip to by heart

A line segment AB has two points lying inside it namely P and Q. Length of the Line is 18 cm. Distance of P from A is 6 cm and that of Q from A is 9 cm. Find the ratio PQ : PB.

A number multiplied with itself three times gives 1331. The number is:

Find the area of a square whose side is 2 m

Factorise it :- 14(3y - 5z)3 + 7(3y - 5)2

Can a quantity have dimensions but still has no units?

The type of graph which should be used to represent the given data is a ___. Weights(Kg)40−4545−5050−5555−6060−65No.of Person4121365.

Verify that -(-x) =x for x=11 upon 15

Take a two-digit number ab and reverse its digits. If the difference between ab and the new number is cd, then by which number is cd divisible?9

Question 105 Solve the following question: What is the least number, that should be subtracted from 1385 to get a perfect square? Also, find the square root of the perfect square.

three consecutive integers add up to 51 what are these integer

A sum of money is borrowed at C.I. payable annually. The interests for the second and third years are Rs 330 and Rs 363 respectively. Find the sum.

A certain sum of money amounts to Rs 5292 in 2 years and Rs 5556.60 in 3years, interest being compounded annually. Find the the sum.

How can we factorise trinomials?

It takes one minute to fill 4/5 of a tank. How much time is needed to fill an empty tank?

Using suitable identity solve (0.99)raised to the power 2.

The difference between the compound interest in a year compounded half yearly and the simple interest in a year on a certain sum of money lent at 10% p.a. is Rs 15. Find the sum of money lent.

LSA of a cuboid having length l, breadth b and height h is equal to :

Factorise: 8(x-3y)(x-3y)+4(x-3y)

Multiplicative inverse of (-3/7)to the power of -5 a)(-3/7)to the power of 5 b)(3/5)to the power of -5 c)(5/3)to the power of 5 d)(3/7)to the power of -1

Rohan marked 7 points on a plane paper. Which of the following combinations result in a quadrilateral (all points need to be joined)?

2^1990 / 1990

What will Rs. 125000 amount to at the rate of 6% if interest is calculated after every 4 months for one year?

Question 10 (i) The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. (i) Find the population in 2001.

Factorize the following : 28a2+14a2b2−21a4

Question 13 - (-x) is same as (a) -x (b) x (c) 1x (d) −1x

Question 3(ii) Find the value of: (2−1×4−1)÷2−2

Plot the points (2,8), (7,8), (12,8).Join these points in pairs. Do they lie on a line? What do you observe ?

The number (ab + ba) is divisible by 11

The difference between inside and outside surfaces of a cylindrical tube 14cm long is 88 sq. cm. If the volume of the tube is 176 cubic cm, Find the inner and outer radii of the tube.

Which of the following are the factors of a4−b4?

The number of sides of a regular polygon whose each interior angle is 135∘

Factorise: abx2+a2x+b2x+ab

If Point A' (3, 6) is the image of Point A(1, 2) under a dilation with respect to the origin, what is the constant of dilation?

Factor out the greatest common factor from the following polynomial. 8x4−4x3+10x2

The side of a cube measures 0.12cm. The volume of this cube will be equal to

Question 97(ii) The following pie chart depicts the expenditure of a state government under different heads : How many times is the amount of money spents on education compared to the amount spent on roads ?

Question 4(vii) Simplify : (m2−n2m)2+2m3n2

Kumar invests Rs.36,000 in buying Rs.100 shares at Rs.20 premium. The dividend is 15% per annum. Find

51737×45152×1117+234=?

If a number has 2 or 8 in the unit’s place, then its square ends in ___ .

Question 108(iv) Verify the property x×y=y×x of rational numbers by using x=−38 and y=−49

Question 92 (i) Radius of a cylinder is r and the height is h. Find the change in the volume if the height is doubled.

Question 4 The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. Find the area of the field.