25365 + Interview Questions in Mathematics

1.	Two numbers are in a ratio 2 : 3. What must be added to each of them so that the ratio becomes 4 : 5?
Answer» Two numbers are in a ratio 2 : 3. What must be added to each of them so that the ratio becomes 4 : 5?

Discussion

2.	When a transversal cuts two lines such that pairs of alternate interior angles are ___, then the lines have to be parallel.
Answer» When a transversal cuts two lines such that pairs of alternate interior angles are ___, then the lines have to be parallel.

Discussion

3.	If a - b = 6 and ab = 16; find a2+b2
Answer» If a - b = 6 and ab = 16; find $a^{2} + b^{2}$

Discussion

4.	Which of the following instruments is not used in either method of Triangle Construction 1?
Answer» Which of the following instruments is not used in either method of Triangle Construction 1?

Discussion

5.	Write in generalised form: 85 [1 MARK]
Answer» Write in generalised form: 85 [1 MARK]

Discussion

6.	How many persons can be accommodated in a hall of length 16 m. breadth 12.5 m and height 4.5 m, assuming that 3.6 m3 of air is required for each person?
Answer» How many persons can be accommodated in a hall of length 16 m. breadth 12.5 m and height 4.5 m, assuming that 3.6 m3 of air is required for each person?

Discussion

7.	Enter the cube root of 29791, given that it is a perfect cube.31
Answer» Enter the cube root of 29791, given that it is a perfect cube. 31

Discussion

8.	The locus of the point of intersection of the tangents at the extremities of a chord of the circle x2+y2=a2 which touches the circles x2+y2−2ax=0 passes through the point___
Answer» The locus of the point of intersection of the tangents at the extremities of a chord of the circle $x^{2} + y^{2} = a^{2}$ which touches the circles $x^{2} + y^{2} - 2 a x = 0$ passes through the point___

Discussion

9.	The table below contains different sports and the number of people who play it. SportsNumber of EntriesFootball10Badminton11VolleyBall15Cricket25BasketBall20 The sport with the highest frequency is:
Answer» The table below contains different sports and the number of people who play it. $\begin{matrix} S p o r t s & N u m b e r o f E n t r i e s F o o t b a l l & 10 B a d m i n t o n & 11 V o l l e y B a l l & 15 C r i c k e t & 25 B a s k e t B a l l & 20 \end{matrix}$ The sport with the highest frequency is:

Discussion

10.	Question 6 Which of the following expressions show that rational numbers are associative under multiplication. (a) 23×(−67×35)=(23×−67)×35 (b) 23×(−67×35)=23×(35×−67) (c) 23×(−67×35)=(35×23)×−67 (d) (23×−67)×35=(−67×23)×35
Answer» Question 6 Which of the following expressions show that rational numbers are associative under multiplication. (a) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = (\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5}$ (b) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = \frac{2}{3} \times (\frac{3}{5} \times \frac{- 6}{7})$ (c) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = (\frac{3}{5} \times \frac{2}{3}) \times \frac{- 6}{7}$ (d) $(\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5} = (\frac{- 6}{7} \times \frac{2}{3}) \times \frac{3}{5}$

10.

Question 6 Which of the following expressions show that rational numbers are associative under multiplication. (a) 23×(−67×35)=(23×−67)×35 (b) 23×(−67×35)=23×(35×−67) (c) 23×(−67×35)=(35×23)×−67 (d) (23×−67)×35=(−67×23)×35

Answer»

Question 6

Which of the following expressions show that rational numbers are associative under multiplication.
(a) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = (\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5}$
(b) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = \frac{2}{3} \times (\frac{3}{5} \times \frac{- 6}{7})$
(c) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = (\frac{3}{5} \times \frac{2}{3}) \times \frac{- 6}{7}$
(d) $(\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5} = (\frac{- 6}{7} \times \frac{2}{3}) \times \frac{3}{5}$

Discussion

11.	Shane has to fill a water tank in 3 hours 40 minutes and he used 7 pipes for that. How many pipes should he use to fill the tank in 1 hour 21 minutes?
Answer» Shane has to fill a water tank in 3 hours 40 minutes and he used 7 pipes for that. How many pipes should he use to fill the tank in 1 hour 21 minutes?

Discussion

12.	Answer the question for the following pie chart. If 400 students took the test, how many students scored grade C?
Answer» Answer the question for the following pie chart. If 400 students took the test, how many students scored grade C?

12.

Answer the question for the following pie chart. If 400 students took the test, how many students scored grade C?

Answer»

Answer the question for the following pie chart.

If 400 students took the test, how many students scored grade C?

Discussion

13.	The cost of a refrigerator is ₹ 8000 with ₹ 1000 being spent on its transportation. Find its selling price if it is sold at a profit of 10%.9900
Answer» The cost of a refrigerator is ₹ 8000 with ₹ 1000 being spent on its transportation. Find its selling price if it is sold at a profit of 10%. 9900

Discussion

14.	Which of the following properties are used in the construction of a rectangle given the length of a diagonal and the angle between the diagonals?
Answer» Which of the following properties are used in the construction of a rectangle given the length of a diagonal and the angle between the diagonals?

14.

Which of the following properties are used in the construction of a rectangle given the length of a diagonal and the angle between the diagonals?

Answer»

Which of the following properties are used in the construction of a rectangle given the length of a diagonal and the angle between the diagonals?

Discussion

15.	0.0000000798 can be expressed in standard form as
Answer» 0.0000000798 can be expressed in standard form as

Discussion

16.	What all are preserved under rotation?
Answer» What all are preserved under rotation?

Discussion

17.	Find the product of : (-4x-5) & (-7x)
Answer» Find the product of : (-4x-5) & (-7x)

Discussion

18.	If a+b+c=0and a^2+b^2+c^2=16,find the value of ab+bc+ca
Answer» If a+b+c=0and a^2+b^2+c^2=16,find the value of ab+bc+ca

Discussion

19.	The simplified form of x2−9y2x3−27y3 is _______.
Answer» The simplified form of $\frac{x^{2} - 9 y^{2}}{x^{3} - 27 y^{3}}$ is _______.

Discussion

20.	Find the difference between compound interest and simple interest on an amount of ₹ 15,000 for 2 years at 8 % per annum.
Answer» Find the difference between compound interest and simple interest on an amount of ₹ 15,000 for 2 years at 8 % per annum.

Discussion

21.	28x4÷56x= ______
Answer» $28 x^{4} \div 56 x =$ ______

Discussion

22.	49(a-b)^2 -25(a+b)^2 factorize?
Answer» 49(a-b)^2 -25(a+b)^2 factorize?

Discussion

23.	The interior angles of a pentagon are in the ratio 4 : 5 : 6 : 7 : 5. Find each angle of the pentagon.
Answer» The interior angles of a pentagon are in the ratio 4 : 5 : 6 : 7 : 5. Find each angle of the pentagon.

Discussion

24.	Find the area of the shaded portion in each of the following diagrams :
Answer» Find the area of the shaded portion in each of the following diagrams :

24.

Find the area of the shaded portion in each of the following diagrams :

Answer»

Find the area of the shaded portion in each of the following diagrams :

Discussion

25.	Question 4(iii) Express each of the following as a product of prime factors only in exponential form: (iii) 729×64
Answer» Question 4(iii) Express each of the following as a product of prime factors only in exponential form: (iii) $729 \times 64$

Discussion

26.	Question 86 State whether the following statement is true or false: Square of a number is positive, so the cube of that number will also be positive.
Answer» Question 86 State whether the following statement is true or false: Square of a number is positive, so the cube of that number will also be positive.

26.

Question 86 State whether the following statement is true or false: Square of a number is positive, so the cube of that number will also be positive.

Answer»

Question 86

State whether the following statement is true or false:

Square of a number is positive, so the cube of that number will also be positive.

Discussion

27.	Question 84 (iv) Simplify (34x−43y)2+2xy
Answer» Question 84 (iv) Simplify ${(\frac{3}{4} x - \frac{4}{3} y)}^{2} + 2 x y$

27.

Question 84 (iv) Simplify (34x−43y)2+2xy

Answer»

Question 84 (iv)

Simplify

${(\frac{3}{4} x - \frac{4}{3} y)}^{2} + 2 x y$

Discussion

28.	Factorize each of the following expressions : 6xy + 6 - 9y - 4x
Answer» Factorize each of the following expressions : 6xy + 6 - 9y - 4x

28.

Factorize each of the following expressions : 6xy + 6 - 9y - 4x

Answer»

Factorize each of the following expressions :

6xy + 6 - 9y - 4x

Discussion

29.	Factorise: (2l+m)2−8lm
Answer» $Factorise: (2 l + m)^{2} - 8 l m$

Discussion

30.	If x and y vary inversely as each other and (i) x=3 when y = 8, find y when x=4 (ii) x=5 when y = 15, find x when y = 12 (iii) x=30, find y when constant of variation = 900 (iv) y = 35, find x when constant of variation = 7.
Answer» If x and y vary inversely as each other and (i) x=3 when y = 8, find y when x=4 (ii) x=5 when y = 15, find x when y = 12 (iii) x=30, find y when constant of variation = 900 (iv) y = 35, find x when constant of variation = 7.

Discussion

31.	By which least number 5324 be divided to get a perfect cube ?
Answer» By which least number 5324 be divided to get a perfect cube ?

Discussion

32.	A car takes 5 hours to reach a destination by travelling at the speed of 60 km/hr. How long will it take when the car travels at the speed of 75 km/hr ?
Answer» A car takes 5 hours to reach a destination by travelling at the speed of 60 km/hr. How long will it take when the car travels at the speed of 75 km/hr ?

Discussion

33.	Question 5 In the given question, out of four options, only one is correct. Write the correct answer. The sum of all the numbers formed by the digits x, y and z of the number xyz is divisible by (a) 11 (b) 33 (c) 37 (d) 74
Answer» Question 5 In the given question, out of four options, only one is correct. Write the correct answer. The sum of all the numbers formed by the digits x, y and z of the number xyz is divisible by (a) 11 (b) 33 (c) 37 (d) 74

Discussion

34.	Let RS be the diameter of the circle x2+y2=1, where S is the point (1, 0). Let P be a variable point (other than R and S) on the circle and tangents to the circle at S and P meet at the point Q. The normal to the circle at P intersects a line drawn through Q parallel to RS at point E. Then, the locus of E passes through the point(s)
Answer» Let RS be the diameter of the circle $x^{2} + y^{2} = 1$ , where S is the point (1, 0). Let P be a variable point (other than R and S) on the circle and tangents to the circle at S and P meet at the point Q. The normal to the circle at P intersects a line drawn through Q parallel to RS at point E. Then, the locus of E passes through the point(s)

Discussion

35.	Two parallelograms are on the same base and between the same parallels. The ratio of their areas is:
Answer» Two parallelograms are on the same base and between the same parallels. The ratio of their areas is:

Discussion

36.	(6p+9q) cube expand
Answer» (6p+9q) cube expand

Discussion

37.	Simplify: (l+2m+n)2+(l−2m+n)2
Answer» Simplify: $(l + 2 m + n)^{2} + (l - 2 m + n)^{2}$

Discussion

38.	Jitendra set up a factory by investing Rs. 2500000. During the first two successive years his profits were 5% and 10% respectively. If each year the profit was on previous year's capital, compute his total profit.
Answer» Jitendra set up a factory by investing Rs. 2500000. During the first two successive years his profits were $5 %$ and $10 %$ respectively. If each year the profit was on previous year's capital, compute his total profit.

Discussion

39.	The sides of ΔABC are 6 cm, 8 cm and 10 cm. Find the perimeter of the larger ΔXYZ (in cm) which is similar to ΔABC if the ratio of corresponding sides is 2 : 1.48
Answer» The sides of $Δ ABC$ are 6 cm, 8 cm and 10 cm. Find the perimeter of the larger $Δ XYZ$ (in cm) which is similar to $Δ ABC$ if the ratio of corresponding sides is 2 : 1. 48

Discussion

40.	Rukshar painted the outside of the cabinet of measure 1m×2m×1.5m. How much Surface area did she cover if she painted all except the bottom of the cabinet?
Answer» Rukshar painted the outside of the cabinet of measure $1 m \times 2 m \times 1.5 m .$ How much Surface area did she cover if she painted all except the bottom of the cabinet?

Discussion

41.	Factorise : x2+4x+3
Answer» Factorise : $x^{2} + 4 x + 3$

Discussion

42.	Which of the following are the factors of a2+b−ab−a ?
Answer» $Which of the following are the factors of a^{2} + b - a b - a ?$

Discussion

43.	If three numbers a, b, c form a Pythagorean triplet, then
Answer» If three numbers a, b, c form a Pythagorean triplet, then

Discussion

44.	CD is the median of ΔABC. If height corresponding to AC in ΔADC is half of height corresponding to BD in ΔBDC, then
Answer» CD is the median of $Δ$ ABC. If height corresponding to AC in $Δ$ ADC is half of height corresponding to BD in $Δ$ BDC, then

44.

CD is the median of ΔABC. If height corresponding to AC in ΔADC is half of height corresponding to BD in ΔBDC, then

Answer»

CD is the median of $Δ$ ABC. If height corresponding to AC in $Δ$ ADC is half of height corresponding to BD in $Δ$ BDC, then

Discussion

45.	Find the sum, invested at 10% compounded annually, on which the interest for the third year exceeds the interest of the first year by Rs. 252.
Answer» Find the sum, invested at 10% compounded annually, on which the interest for the third year exceeds the interest of the first year by Rs. 252.

Discussion

46.	The angle bisectors of a rectangle will form
Answer» The angle bisectors of a rectangle will form

Discussion

47.	An aeroplane flies 3000 500 km in the same time at rain cover 600 km is the speed of the aeroplane is 50 km per hour more than 5 times the speed of the train what are the speed of the train and aeroplane
Answer» An aeroplane flies 3000 500 km in the same time at rain cover 600 km is the speed of the aeroplane is 50 km per hour more than 5 times the speed of the train what are the speed of the train and aeroplane

Discussion

48.	If x,y ∈ C, and \|y\|= 1, then the value of \| x−y1−¯¯¯xy \| is __ .
Answer» If x,y ∈ C, and \|y\|= 1, then the value of \| $\frac{x - y}{1 - ¯ ¯ ¯ x y}$ \| is __ .

Discussion

49.	What is the rule to find the number of numbers between perfect squares? [2 MARKS]
Answer» What is the rule to find the number of numbers between perfect squares? [2 MARKS]

Discussion

50.	For a compound interested sum which of the following details are necessary?
Answer» For a compound interested sum which of the following details are necessary?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Two numbers are in a ratio 2 : 3. What must be added to each of them so that the ratio becomes 4 : 5?

When a transversal cuts two lines such that pairs of alternate interior angles are ___, then the lines have to be parallel.

If a - b = 6 and ab = 16; find a2+b2

Which of the following instruments is not used in either method of Triangle Construction 1?

Write in generalised form: 85 [1 MARK]

How many persons can be accommodated in a hall of length 16 m. breadth 12.5 m and height 4.5 m, assuming that 3.6 m3 of air is required for each person?

Enter the cube root of 29791, given that it is a perfect cube.31

The locus of the point of intersection of the tangents at the extremities of a chord of the circle x2+y2=a2 which touches the circles x2+y2−2ax=0 passes through the point___

The table below contains different sports and the number of people who play it. SportsNumber of EntriesFootball10Badminton11VolleyBall15Cricket25BasketBall20 The sport with the highest frequency is:

Question 6 Which of the following expressions show that rational numbers are associative under multiplication. (a) 23×(−67×35)=(23×−67)×35 (b) 23×(−67×35)=23×(35×−67) (c) 23×(−67×35)=(35×23)×−67 (d) (23×−67)×35=(−67×23)×35

Shane has to fill a water tank in 3 hours 40 minutes and he used 7 pipes for that. How many pipes should he use to fill the tank in 1 hour 21 minutes?

Answer the question for the following pie chart. If 400 students took the test, how many students scored grade C?

The cost of a refrigerator is ₹ 8000 with ₹ 1000 being spent on its transportation. Find its selling price if it is sold at a profit of 10%.9900

Which of the following properties are used in the construction of a rectangle given the length of a diagonal and the angle between the diagonals?

0.0000000798 can be expressed in standard form as

What all are preserved under rotation?

Find the product of : (-4x-5) & (-7x)

If a+b+c=0and a^2+b^2+c^2=16,find the value of ab+bc+ca

The simplified form of x2−9y2x3−27y3 is _______.

Find the difference between compound interest and simple interest on an amount of ₹ 15,000 for 2 years at 8 % per annum.

28x4÷56x= ______

49(a-b)^2 -25(a+b)^2 factorize?

The interior angles of a pentagon are in the ratio 4 : 5 : 6 : 7 : 5. Find each angle of the pentagon.

Find the area of the shaded portion in each of the following diagrams :

Question 4(iii) Express each of the following as a product of prime factors only in exponential form: (iii) 729×64

Question 86 State whether the following statement is true or false: Square of a number is positive, so the cube of that number will also be positive.

Question 84 (iv) Simplify (34x−43y)2+2xy

Factorize each of the following expressions : 6xy + 6 - 9y - 4x

Factorise: (2l+m)2−8lm

If x and y vary inversely as each other and (i) x=3 when y = 8, find y when x=4 (ii) x=5 when y = 15, find x when y = 12 (iii) x=30, find y when constant of variation = 900 (iv) y = 35, find x when constant of variation = 7.

By which least number 5324 be divided to get a perfect cube ?

A car takes 5 hours to reach a destination by travelling at the speed of 60 km/hr. How long will it take when the car travels at the speed of 75 km/hr ?

Question 5 In the given question, out of four options, only one is correct. Write the correct answer. The sum of all the numbers formed by the digits x, y and z of the number xyz is divisible by (a) 11 (b) 33 (c) 37 (d) 74

Two parallelograms are on the same base and between the same parallels. The ratio of their areas is:

(6p+9q) cube expand

Simplify: (l+2m+n)2+(l−2m+n)2

Jitendra set up a factory by investing Rs. 2500000. During the first two successive years his profits were 5% and 10% respectively. If each year the profit was on previous year's capital, compute his total profit.

The sides of ΔABC are 6 cm, 8 cm and 10 cm. Find the perimeter of the larger ΔXYZ (in cm) which is similar to ΔABC if the ratio of corresponding sides is 2 : 1.48

Rukshar painted the outside of the cabinet of measure 1m×2m×1.5m. How much Surface area did she cover if she painted all except the bottom of the cabinet?

Factorise : x2+4x+3

Which of the following are the factors of a2+b−ab−a ?

If three numbers a, b, c form a Pythagorean triplet, then

CD is the median of ΔABC. If height corresponding to AC in ΔADC is half of height corresponding to BD in ΔBDC, then

Find the sum, invested at 10% compounded annually, on which the interest for the third year exceeds the interest of the first year by Rs. 252.

The angle bisectors of a rectangle will form

An aeroplane flies 3000 500 km in the same time at rain cover 600 km is the speed of the aeroplane is 50 km per hour more than 5 times the speed of the train what are the speed of the train and aeroplane

If x,y ∈ C, and |y|= 1, then the value of | x−y1−¯¯¯xy | is __ .

What is the rule to find the number of numbers between perfect squares? [2 MARKS]

For a compound interested sum which of the following details are necessary?