25365 + Interview Questions in Mathematics

1.	If the height of a cylinder is halved and its diameter is doubled then, its volume is
Answer» If the height of a cylinder is halved and its diameter is doubled then, its volume is

Discussion

2.	X Ltd issued 5,000 15% debentures of Rs 100 each on January 01, 2004 at a discount of 10% redeemable at a premium of 10% in equal annual drawings in 4 years out of capital. Give journal entries both at the time of issue and redemption of debentures. (Ignore the treatment of loss on issue of debentures and interest.)
Answer» X Ltd issued 5,000 $15 %$ debentures of Rs 100 each on January 01, 2004 at a discount of $10 %$ redeemable at a premium of $10 %$ in equal annual drawings in 4 years out of capital. Give journal entries both at the time of issue and redemption of debentures. (Ignore the treatment of loss on issue of debentures and interest.)

Discussion

3.	Discuss how you would use the lottery method to select 3 students out of 10 in your class?
Answer» Discuss how you would use the lottery method to select 3 students out of 10 in your class?

Discussion

4.	Write the following sets in roster set-builder (Rule Method) form: (i) B1={6,9,12,15,.........} (ii) B2={11,13,17,19.........} (iii) B3={13,35,57,79,911.........} (iv)B4={8,27,64,125,216.........} (v) B5={−5,−4,−3,−2,−1.........} (vi)B6={...........−6,−3,0,3,6.........}
Answer» Write the following sets in roster set-builder (Rule Method) form: (i) $B_{1} = {6, 9, 12, 15, . . . . . . . . .}$ (ii) $B_{2} = {11, 13, 17, 19.........}$ (iii) $B_{3} = {\frac{1}{3}, \frac{3}{5}, \frac{5}{7}, \frac{7}{9}, \frac{9}{11} . . . . . . . . .}$ (iv) $B_{4} = {8, 27, 64, 125, 216.........}$ (v) $B_{5} = {- 5, - 4, - 3, - 2, - 1.........}$ (vi) $B_{6} = {. . . . . . . . . . . - 6, - 3, 0, 3, 6.........}$

4.

Write the following sets in roster set-builder (Rule Method) form: (i) B1={6,9,12,15,.........} (ii) B2={11,13,17,19.........} (iii) B3={13,35,57,79,911.........} (iv)B4={8,27,64,125,216.........} (v) B5={−5,−4,−3,−2,−1.........} (vi)B6={...........−6,−3,0,3,6.........}

Answer»

Write the following sets in roster set-builder (Rule Method) form:

(i) $B_{1} = {6, 9, 12, 15, . . . . . . . . .}$

(ii) $B_{2} = {11, 13, 17, 19.........}$

(iii) $B_{3} = {\frac{1}{3}, \frac{3}{5}, \frac{5}{7}, \frac{7}{9}, \frac{9}{11} . . . . . . . . .}$

(iv) $B_{4} = {8, 27, 64, 125, 216.........}$

(v) $B_{5} = {- 5, - 4, - 3, - 2, - 1.........}$

(vi) $B_{6} = {. . . . . . . . . . . - 6, - 3, 0, 3, 6.........}$

Discussion

5.	Question 10 As the number of tosses of a coin increases, the ratio of the number of heads to the total number of tosses will be 12. is it correct? If not, write the correct one.
Answer» Question 10 As the number of tosses of a coin increases, the ratio of the number of heads to the total number of tosses will be $\frac{1}{2}$ . is it correct? If not, write the correct one.

Discussion

6.	How to make 256 a perfect cube?
Answer» How to make 256 a perfect cube?

Discussion

7.	A student is asked to collect the information about the number of electricity units consumed by a householder in a locality during the last 24 hours, the data thus collected is known as
Answer» A student is asked to collect the information about the number of electricity units consumed by a householder in a locality during the last 24 hours, the data thus collected is known as

Discussion

8.	A wire when bent in the form of a square encloses an area of 484m2. The area enclosed by the same wire when bent to form a rectangle of breadth 16m is = _____ m2.
Answer» A wire when bent in the form of a square encloses an area of $484 m^{2}$ . The area enclosed by the same wire when bent to form a rectangle of breadth $16 m$ is = _____ $m^{2}$ .

Discussion

9.	Solve for x in 3x + 2 = 8
Answer» Solve for x in 3x + 2 = 8

9.

Solve for x in 3x + 2 = 8

Answer»

Solve for x in 3x + 2 = 8

Discussion

10.	If each interior angle of a regular polygon is 150∘, how many sides does this polygon have? [3 MARKS]
Answer» If each interior angle of a regular polygon is $150^{\circ}$ , how many sides does this polygon have? [3 MARKS]

Discussion

11.	Express in usual form: 5.06 × 10−2 __
Answer» Express in usual form: 5.06 $\times$ $10^{- 2}$ __

11.

Express in usual form: 5.06 × 10−2 __

Answer»

Express in usual form: 5.06 $\times$ $10^{- 2}$

__

Discussion

12.	Which one of the following options is the same as [5−1+10−1+2−2]−1?
Answer» Which one of the following options is the same as $[5^{- 1} + 10^{- 1} + 2^{- 2}]^{- 1}$ ?

Discussion

13.	Which among the following is/are true?
Answer» Which among the following is/are true?

Discussion

14.	Two numbers are respectively 20 percent and 50 percent more than a third number. What percent is the second of the first ?
Answer» Two numbers are respectively 20 percent and 50 percent more than a third number. What percent is the second of the first ?

Discussion

15.	The price of a sweater was slashed from Rs. 960 to Rs.816 by a shopkeeper in the winter season. Find the rate of discount given by him.
Answer» $The price of a sweater was slashed from Rs. 960 to Rs.816 by a shopkeeper in the winter season. Find the rate of discount given by him.$

Discussion

16.	How many soap cakes can be placed in a box of size 56 cm ×0.4 m×0.25 m, if the size of a soap cake is 7 cm×5 cm×2.5 cm?
Answer» How many soap cakes can be placed in a box of size $56 c m \times 0.4 m \times 0.25 m$ , if the size of a soap cake is $7 c m \times 5 c m \times 2.5 c m$ ?

Discussion

17.	Solve the following equations and verify your answer : 1−9y19−3y=58
Answer» Solve the following equations and verify your answer : $\frac{1 - 9 y}{19 - 3 y} = \frac{5}{8}$

17.

Solve the following equations and verify your answer : 1−9y19−3y=58

Answer»

Solve the following equations and verify your answer :

$\frac{1 - 9 y}{19 - 3 y} = \frac{5}{8}$

Discussion

18.	I want to show the distribution of population in India according to states on a pie chart. How many sectors do I divide the chart into? __
Answer» I want to show the distribution of population in India according to states on a pie chart. How many sectors do I divide the chart into? __

Discussion

19.	Write the quotient and remainder when we divide. (5x3−12x2+12x+13) by (x2−3x+4)
Answer» Write the quotient and remainder when we divide. $(5 x^{3} - 12 x^{2} + 12 x + 13)$ by $(x^{2} - 3 x + 4)$

19.

Write the quotient and remainder when we divide. (5x3−12x2+12x+13) by (x2−3x+4)

Answer»

Write the quotient and remainder when we divide.

$(5 x^{3} - 12 x^{2} + 12 x + 13)$ by $(x^{2} - 3 x + 4)$

Discussion

20.	What is SAS congruency ?
Answer» What is SAS congruency ?

Discussion

21.	A rectangle whose length and breadth is 18m and 8m respectively has to be converted to a square with the same area. What will be the side of the square?
Answer» A rectangle whose length and breadth is 18m and 8m respectively has to be converted to a square with the same area. What will be the side of the square?

Discussion

22.	a2+bc+ab+ac=?(a) (a+b)(a+c)(b) (a+b)(b+c)(c) (b+c)(c+a)(d) a(a+b+c)
Answer» $a^{2} + b c + a b + a c = ? (a) (a + b) (a + c) (b) (a + b) (b + c) (c) (b + c) (c + a) (d) a (a + b + c)$

Discussion

23.	If area of a square plate is 100 m2, then what is the side length of the square plate and its perimeter respectively?
Answer» If area of a square plate is 100 m², then what is the side length of the square plate and its perimeter respectively?

Discussion

24.	Question 4(ii) Evaluate: (5−1×2−1)×6−1
Answer» Question 4(ii) Evaluate: $(5^{- 1} \times 2^{- 1}) \times 6^{- 1}$

Discussion

25.	The length, breadth and height of a cuboid are in the ratio 7:6:5. If the surface area of the cuboid is 1926 sq. cm. find the surface area of the cuboid.
Answer» The length, breadth and height of a cuboid are in the ratio 7:6:5. If the surface area of the cuboid is 1926 sq. cm. find the surface area of the cuboid.

Discussion

26.	Find the product:- ( y+7y ) ( 3+x)
Answer» Find the product:- ( y+7y ) ( 3+x)

Discussion

27.	Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet of the poles is 12 m, then find the distance between their tops.
Answer» Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet of the poles is 12 m, then find the distance between their tops.

Discussion

28.	Flowers have symmetry. In the same way there are so many things,where you can observe concept of mathematics.Write the application of mathematics in nature .
Answer» Flowers have symmetry. In the same way there are so many things,where you can observe concept of mathematics.Write the application of mathematics in nature .

Discussion

29.	A shopkeeper offers his customers 15% discount and still makes a profit of 30%. What is the actual cost of an article marked Rs. 300?
Answer» A shopkeeper offers his customers 15% discount and still makes a profit of 30%. What is the actual cost of an article marked Rs. 300?

Discussion

30.	Prove that (x+1)(x+1-i)(x-1+i)(x-1-i)=x4+4
Answer» Prove that (x+1)(x+1-i)(x-1+i)(x-1-i)=x⁴+4

Discussion

31.	You have a budget of 66amonthtospendonyogaclasses.Youryogastudiocharges22 per month membership fee, plus $5 per class attended. Find the possible number of classes you can attend each month.
Answer» You have a budget of $66 a m o n t h t o s p e n d o n y o g a c l a s s e s . Y o u r y o g a s t u d i o c h a r g e s$ 22 per month membership fee, plus $5 per class attended. Find the possible number of classes you can attend each month.

Discussion

32.	If x=1-√2, then find the value of (x-1/x)³
Answer» If x=1-√2, then find the value of (x-1/x)³

Discussion

33.	State true or false There is a rational number for every dot of number line.
Answer» State true or false There is a rational number for every dot of number line.

33.

State true or false There is a rational number for every dot of number line.

Answer»

State true or false

There is a rational number for every dot of number line.

Discussion

34.	Factories 15pq+15+9q+25p
Answer» Factories 15pq+15+9q+25p

Discussion

35.	What is the sentence type? Georgina was a statuesque beauty who would impress anyone she met.
Answer» What is the sentence type? Georgina was a statuesque beauty who would impress anyone she met.

35.

What is the sentence type? Georgina was a statuesque beauty who would impress anyone she met.

Answer»

What is the sentence type?

Georgina was a statuesque beauty who would impress anyone she met.

Discussion

36.	If the mean of the following distribution is 6, find the value of 'p'.
Answer» If the mean of the following distribution is 6, find the value of 'p'.

36.

If the mean of the following distribution is 6, find the value of 'p'.

Answer»

If the mean of the following distribution is 6, find the value of 'p'.

Discussion

37.	A quadrilateral has ______ diagonals.
Answer» A quadrilateral has ______ diagonals.

Discussion

38.	x2 + y2 - 2xy
Answer» x² + y² - 2xy

Discussion

39.	8 men can do a piece of work in 9 days. In how many days will 6 men do it?
Answer» 8 men can do a piece of work in 9 days. In how many days will 6 men do it?

Discussion

40.	acx2+(bc+ad)x+bd by (ax+b)
Answer» $a c x^{2} + (b c + a d) x + b d b y (a x + b)$

Discussion

41.	Ashish started the business with an initial investment of Rs. 500000. In the first year, he incurred a loss of 4%. However, during the second year he earned a profit of 5% which in third year, rose to 10%. Calculate the net profit for the entire period of 3 years.
Answer» Ashish started the business with an initial investment of Rs. 500000. In the first year, he incurred a loss of $4 %$ . However, during the second year he earned a profit of $5 %$ which in third year, rose to $10 %$ . Calculate the net profit for the entire period of 3 years.

Discussion

42.	In a library 136 copies of a certain book require a shelf-length of 3.4 metre. How many copies of the same book would occupy a shelf-length of 5.1 metres ?
Answer» In a library 136 copies of a certain book require a shelf-length of 3.4 metre. How many copies of the same book would occupy a shelf-length of 5.1 metres ?

Discussion

43.	There is a pentagon shaped park as shown in the figure. For finding its area Jyoti and Kavita divided it in two different ways, Find the area of the above figure using either Jyothi's diagram or kavitha's diagram.
Answer» There is a pentagon shaped park as shown in the figure. For finding its area Jyoti and Kavita divided it in two different ways, Find the area of the above figure using either Jyothi's diagram or kavitha's diagram.

Discussion

44.	The above figure represents which method for finding square of a number?
Answer» The above figure represents which method for finding square of a number?

44.

The above figure represents which method for finding square of a number?

Answer»

The above figure represents which method for finding square of a number?

Discussion

45.	A cupboard has 8 cubical compartments. Edges of each compartment is 50 cm. Find their interior area and cost of painting the interior at the rate of 20 rupees per metre2 ?
Answer» A cupboard has 8 cubical compartments. Edges of each compartment is 50 cm. Find their interior area and cost of painting the interior at the rate of 20 rupees per $m e t r e^{2}$ ?

Discussion

46.	The population of a city increases by 30% every year. If the present population is 338000, then what was the population of the city 2 years ago?
Answer» The population of a city increases by 30% every year. If the present population is 338000, then what was the population of the city 2 years ago?

Discussion

47.	In the given figure, AC = AD = CD = BD. Then the measure of angle ABC is
Answer» In the given figure, AC = AD = CD = BD. Then the measure of angle ABC is

47.

In the given figure, AC = AD = CD = BD. Then the measure of angle ABC is

Answer»

In the given figure, AC = AD = CD = BD. Then the measure of angle ABC is

Discussion

48.	Find the sum which amounts to Rs 9261 at 10% compound interest for 1 ½ years calculated half yearly.
Answer» Find the sum which amounts to Rs 9261 at 10% compound interest for 1 ½ years calculated half yearly.

Discussion

49.	The sum of three consecutive numbers is 36. The smallest number among the three is
Answer» The sum of three consecutive numbers is $36$ . The smallest number among the three is

Discussion

50.	Question 82 (iii) Subtract 2ab2c2+4a2b2c−5a2bc2 from−10a2b2c+4ab2c2+2a2bc2
Answer» Question 82 (iii) Subtract $2 a b^{2} c^{2} + 4 a^{2} b^{2} c - 5 a^{2} b c^{2} f r o m - 10 a^{2} b^{2} c + 4 a b^{2} c^{2} + 2 a^{2} b c^{2}$

50.

Question 82 (iii) Subtract 2ab2c2+4a2b2c−5a2bc2 from−10a2b2c+4ab2c2+2a2bc2

Answer»

Question 82 (iii)

Subtract

$2 a b^{2} c^{2} + 4 a^{2} b^{2} c - 5 a^{2} b c^{2} f r o m - 10 a^{2} b^{2} c + 4 a b^{2} c^{2} + 2 a^{2} b c^{2}$

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If the height of a cylinder is halved and its diameter is doubled then, its volume is

Discuss how you would use the lottery method to select 3 students out of 10 in your class?

Write the following sets in roster set-builder (Rule Method) form: (i) B1={6,9,12,15,.........} (ii) B2={11,13,17,19.........} (iii) B3={13,35,57,79,911.........} (iv)B4={8,27,64,125,216.........} (v) B5={−5,−4,−3,−2,−1.........} (vi)B6={...........−6,−3,0,3,6.........}

Question 10 As the number of tosses of a coin increases, the ratio of the number of heads to the total number of tosses will be 12. is it correct? If not, write the correct one.

How to make 256 a perfect cube?

A student is asked to collect the information about the number of electricity units consumed by a householder in a locality during the last 24 hours, the data thus collected is known as

A wire when bent in the form of a square encloses an area of 484m2. The area enclosed by the same wire when bent to form a rectangle of breadth 16m is = _____ m2.

Solve for x in 3x + 2 = 8

If each interior angle of a regular polygon is 150∘, how many sides does this polygon have? [3 MARKS]

Express in usual form: 5.06 × 10−2 __

Which one of the following options is the same as [5−1+10−1+2−2]−1?

Which among the following is/are true?

Two numbers are respectively 20 percent and 50 percent more than a third number. What percent is the second of the first ?

The price of a sweater was slashed from Rs. 960 to Rs.816 by a shopkeeper in the winter season. Find the rate of discount given by him.

How many soap cakes can be placed in a box of size 56 cm ×0.4 m×0.25 m, if the size of a soap cake is 7 cm×5 cm×2.5 cm?

Solve the following equations and verify your answer : 1−9y19−3y=58

I want to show the distribution of population in India according to states on a pie chart. How many sectors do I divide the chart into? __

Write the quotient and remainder when we divide. (5x3−12x2+12x+13) by (x2−3x+4)

What is SAS congruency ?

A rectangle whose length and breadth is 18m and 8m respectively has to be converted to a square with the same area. What will be the side of the square?

a2+bc+ab+ac=?(a) (a+b)(a+c)(b) (a+b)(b+c)(c) (b+c)(c+a)(d) a(a+b+c)

If area of a square plate is 100 m2, then what is the side length of the square plate and its perimeter respectively?

Question 4(ii) Evaluate: (5−1×2−1)×6−1

The length, breadth and height of a cuboid are in the ratio 7:6:5. If the surface area of the cuboid is 1926 sq. cm. find the surface area of the cuboid.

Find the product:- ( y+7y ) ( 3+x)

Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet of the poles is 12 m, then find the distance between their tops.

Flowers have symmetry. In the same way there are so many things,where you can observe concept of mathematics.Write the application of mathematics in nature .

A shopkeeper offers his customers 15% discount and still makes a profit of 30%. What is the actual cost of an article marked Rs. 300?

Prove that (x+1)(x+1-i)(x-1+i)(x-1-i)=x​​​​​​4+4

You have a budget of 66amonthtospendonyogaclasses.Youryogastudiocharges22 per month membership fee, plus $5 per class attended. Find the possible number of classes you can attend each month.

If x=1-√2, then find the value of (x-1/x)³

State true or false There is a rational number for every dot of number line.

Factories 15pq+15+9q+25p

What is the sentence type? Georgina was a statuesque beauty who would impress anyone she met.

If the mean of the following distribution is 6, find the value of 'p'.

A quadrilateral has ______ diagonals.

x2 + y2 - 2xy

8 men can do a piece of work in 9 days. In how many days will 6 men do it?

acx2+(bc+ad)x+bd by (ax+b)

Ashish started the business with an initial investment of Rs. 500000. In the first year, he incurred a loss of 4%. However, during the second year he earned a profit of 5% which in third year, rose to 10%. Calculate the net profit for the entire period of 3 years.

In a library 136 copies of a certain book require a shelf-length of 3.4 metre. How many copies of the same book would occupy a shelf-length of 5.1 metres ?

There is a pentagon shaped park as shown in the figure. For finding its area Jyoti and Kavita divided it in two different ways, Find the area of the above figure using either Jyothi's diagram or kavitha's diagram.

The above figure represents which method for finding square of a number?

A cupboard has 8 cubical compartments. Edges of each compartment is 50 cm. Find their interior area and cost of painting the interior at the rate of 20 rupees per metre2 ?

The population of a city increases by 30% every year. If the present population is 338000, then what was the population of the city 2 years ago?

In the given figure, AC = AD = CD = BD. Then the measure of angle ABC is

Find the sum which amounts to Rs 9261 at 10% compound interest for 1 ½ years calculated half yearly.

The sum of three consecutive numbers is 36. The smallest number among the three is

Question 82 (iii) Subtract 2ab2c2+4a2b2c−5a2bc2 from−10a2b2c+4ab2c2+2a2bc2

Prove that (x+1)(x+1-i)(x-1+i)(x-1-i)=x4+4