25365 + Interview Questions in Mathematics

1.	If 4 dozen eggs cost ₹ 144, find the cost of 5 scores of eggs [1 score = 20]
Answer» If 4 dozen eggs cost ₹ 144, find the cost of 5 scores of eggs [1 score = 20]

Discussion

2.	If 3x+13x=3; find :(i)9x2+19x2(ii)27x3+127x3
Answer» If $3 x + \frac{1}{3 x} = 3; f i n d : (i) 9 x^{2} + \frac{1}{9 x^{2}} (i i) 27 x^{3} + \frac{1}{27 x^{3}}$

Discussion

3.	If 3(3x+5)+12=2(x+3),then find the value of x.
Answer» $If 3 (3 x + 5) + 12 = 2 (x + 3), then find the value of x .$

Discussion

4.	The graph below shows the usage of graph types in a school. Choose the correct options on basis of data given.
Answer» The graph below shows the usage of graph types in a school. Choose the correct options on basis of data given.

4.

The graph below shows the usage of graph types in a school. Choose the correct options on basis of data given.

Answer»

The graph below shows the usage of graph types in a school. Choose the correct options on basis of data given.

Discussion

5.	ronit is now 20 years old and isha is 4 years old. in how many years will ronit be twice as old as isha
Answer» ronit is now 20 years old and isha is 4 years old. in how many years will ronit be twice as old as isha

Discussion

6.	In the given figure, find the measure of ∠RQT if PQ=QR and ∠QPR=60∘.
Answer» In the given figure, find the measure of $∠ R Q T$ if $P Q = Q R$ and $∠ Q P R = 60^{\circ}$ .

Discussion

7.	Two adjacent sides ofa a parallelogram are 4 cm and 3 cm respectively. Find its perimeter.
Answer» Two adjacent sides ofa a parallelogram are 4 cm and 3 cm respectively. Find its perimeter.

Discussion

8.	The value of x(x+3)(x2+6) when x=2 is
Answer» The value of $x (x + 3) (x^{2} + 6)$ when $x = 2$ is

Discussion

9.	If the selling price of 10 pens is equal to cost price of 14 pens, find the gain percent.
Answer» If the selling price of $10$ pens is equal to cost price of $14$ pens, find the gain percent.

Discussion

10.	Which of the following will have 4 at the unit place?
Answer» Which of the following will have 4 at the unit place?

Discussion

11.	The denominator of a rational number is greater than its numerator by 6. If the Numerator is increased by 15 and the denominator is decreased by 1, the number Obtained is 2. Find the rational number.
Answer» The denominator of a rational number is greater than its numerator by 6. If the Numerator is increased by 15 and the denominator is decreased by 1, the number Obtained is 2. Find the rational number.

Discussion

12.	By using the formula, find the amount and compound interest on: At what rate per cent per annum will Rs 4000 amount to Rs 4410 in 2 years when compounded annually ?
Answer» By using the formula, find the amount and compound interest on: At what rate per cent per annum will Rs 4000 amount to Rs 4410 in 2 years when compounded annually ?

12.

By using the formula, find the amount and compound interest on: At what rate per cent per annum will Rs 4000 amount to Rs 4410 in 2 years when compounded annually ?

Answer»

By using the formula, find the amount and compound interest on:

At what rate per cent per annum will Rs 4000 amount to Rs 4410 in 2 years when compounded annually ?

Discussion

13.	A cuboidal block of solid iron has dimension 50 cm, 45 cm and 34 cm. How many cubiods of size 5 cm by 2 cm can be obtained from this block? Assume cutting causes no wasteage.
Answer» A cuboidal block of solid iron has dimension 50 cm, 45 cm and 34 cm. How many cubiods of size 5 cm by 2 cm can be obtained from this block? Assume cutting causes no wasteage.

Discussion

14.	A cylindrical vessel open at the top has diameter 20cm and height 14cm. Find the cost of the tin- plating it on the inside at the rate of 50 paise per hundred square centimetre.
Answer» A cylindrical vessel open at the top has diameter 20cm and height 14cm. Find the cost of the tin- plating it on the inside at the rate of 50 paise per hundred square centimetre.

Discussion

15.	A parallelogram and a rhombus are equal in area. The diagonals of the rhombus measure 120 m and 44 m. If one of the sides of the parallelogram measures 66 m, find its corresponding altitutde.
Answer» A parallelogram and a rhombus are equal in area. The diagonals of the rhombus measure 120 m and 44 m. If one of the sides of the parallelogram measures 66 m, find its corresponding altitutde.

Discussion

16.	A bat is bought for Rs. 120 and sold for Rs. 105. The loss per cent is (a) 15% (b) 1212% (c) 1623% (d) 1415%
Answer» A bat is bought for $R s . 120$ and sold for $R s . 105.$ The loss per cent is (a) $15 %$ (b) $12 \frac{1}{2} %$ (c) $16 \frac{2}{3} %$ (d) $14 \frac{1}{5} %$

16.

A bat is bought for Rs. 120 and sold for Rs. 105. The loss per cent is (a) 15% (b) 1212% (c) 1623% (d) 1415%

Answer»

A bat is bought for $R s . 120$ and sold for $R s . 105.$ The loss per cent is

(a) $15 %$

(b) $12 \frac{1}{2} %$

(c) $16 \frac{2}{3} %$

(d) $14 \frac{1}{5} %$

Discussion

17.	In a parallelogram ABCD, the diagonals bisect each other at O. If ∠ABC=30∘,∠BDC=10∘and∠CAB=70∘. Find: ∠DAB,∠ADC,∠BCD,∠AOD,∠DOC,∠BOC,∠AOB,∠ACD,∠CAB,∠ADB,∠ACB,∠DBC and ∠DBA.
Answer» In a parallelogram ABCD, the diagonals bisect each other at O. If $∠ A B C = 30^{\circ}, ∠ B D C = 10^{\circ} a n d ∠ C A B = 70^{\circ}$ . Find: $∠ D A B, ∠ A D C, ∠ B C D, ∠ A O D, ∠ D O C, ∠ B O C, ∠ A O B, ∠ A C D, ∠ C A B, ∠ A D B, ∠ A C B, ∠ D B C a n d ∠ D B A$ .

17.

In a parallelogram ABCD, the diagonals bisect each other at O. If ∠ABC=30∘,∠BDC=10∘and∠CAB=70∘. Find: ∠DAB,∠ADC,∠BCD,∠AOD,∠DOC,∠BOC,∠AOB,∠ACD,∠CAB,∠ADB,∠ACB,∠DBC and ∠DBA.

Answer»

In a parallelogram ABCD, the diagonals bisect each other at O. If $∠ A B C = 30^{\circ}, ∠ B D C = 10^{\circ} a n d ∠ C A B = 70^{\circ}$ .

Find: $∠ D A B, ∠ A D C, ∠ B C D, ∠ A O D, ∠ D O C, ∠ B O C, ∠ A O B, ∠ A C D, ∠ C A B, ∠ A D B, ∠ A C B, ∠ D B C a n d ∠ D B A$ .

Discussion

18.	Find the compound interest on ₹10,000 in 2 years at 4% per annum, the interest being compounded half-yearly.
Answer» Find the compound interest on ₹10,000 in 2 years at 4 $%$ per annum, the interest being compounded half-yearly.

Discussion

19.	The following figure is a rectanle in which x : y = 3 : 7; find the values of x and y.
Answer» $The following figure is a rectanle in which x : y = 3 : 7; find the values of x and y.$

19.

The following figure is a rectanle in which x : y = 3 : 7; find the values of x and y.

Answer»

$The following figure is a rectanle in which x : y = 3 : 7; find the values of x and y.$

Discussion

20.	A,B and C working together can plough a field in 4 4/5 days. A and C together it in 8 days. How long would B alone take to plough the field.
Answer» A,B and C working together can plough a field in 4 4/5 days. A and C together it in 8 days. How long would B alone take to plough the field.

Discussion

21.	Question 7 If a% is the discount percent on a marked price x, then discount is (a) xa×100 (b) ax×100 (c) x×a100 (d) 100x×a
Answer» Question 7 If a% is the discount percent on a marked price x, then discount is (a) $\frac{x}{a} \times 100$ (b) $\frac{a}{x} \times 100$ (c) $x \times \frac{a}{100}$ (d) $\frac{100}{x \times a}$

Discussion

22.	Question 8 ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD: A) Is a rectangle B) Is always a rhombus C) Is a parallelogram D) Need not be any of (a), (b) or (c)
Answer» Question 8 ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD: A) Is a rectangle B) Is always a rhombus C) Is a parallelogram D) Need not be any of (a), (b) or (c)

Discussion

23.	Simple definition of polynomial.
Answer» Simple definition of polynomial.

Discussion

24.	Find each of the following products: (2x2+3x−7)×(3x2−5x+4)
Answer» Find each of the following products: $(2 x^{2} + 3 x - 7) \times (3 x^{2} - 5 x + 4)$

24.

Find each of the following products: (2x2+3x−7)×(3x2−5x+4)

Answer»

Find each of the following products:

$(2 x^{2} + 3 x - 7) \times (3 x^{2} - 5 x + 4)$

Discussion

25.	Reflection of a point in x - axis will change its ___ coordinate.
Answer» Reflection of a point in x - axis will change its ___ coordinate.

Discussion

26.	Find the compound interest paid when a sum of Rs 10000 is invested for 2 years and 8 % per annum compounded annually
Answer» Find the compound interest paid when a sum of Rs 10000 is invested for 2 years and 8 % per annum compounded annually

Discussion

27.	To gain 25% after allowing a discount of 10%, the shopkeeper must mark the price of the article which costs him Rs. 360 as:
Answer» To gain $25 %$ after allowing a discount of $10 %$ , the shopkeeper must mark the price of the article which costs him Rs. 360 as:

Discussion

28.	What is a diagonal?
Answer» What is a diagonal?

Discussion

29.	Write a Pythagorean triplet whose one member is 6 ,14 ,16 and 18
Answer» Write a Pythagorean triplet whose one member is 6 ,14 ,16 and 18

Discussion

30.	A water vessel is one – fifth full. Tube X can fill a vessel in 5 minutes and tube Y can empty it in 3 minutes. If both the tubes are open, how long will it take to empty or fill the vessel completely?
Answer» A water vessel is one – fifth full. Tube X can fill a vessel in 5 minutes and tube Y can empty it in 3 minutes. If both the tubes are open, how long will it take to empty or fill the vessel completely?

Discussion

31.	Find the decimal form of √24.75
Answer» Find the decimal form of √24.75

Discussion

32.	Why circle is not considered a polygon if it can be formed by many tiny straight lines?
Answer» Why circle is not considered a polygon if it can be formed by many tiny straight lines?

Discussion

33.	There are some lotus in a pound. Group of birds were throught to rest there. Each birds were sit on each flowers. Then one bird hasn't lotus to sit.on another case, each pair of birds were sat on each flower. Then how many flowers were there and how many birds were there?
Answer» There are some lotus in a pound. Group of birds were throught to rest there. Each birds were sit on each flowers. Then one bird hasn't lotus to sit.on another case, each pair of birds were sat on each flower. Then how many flowers were there and how many birds were there?

Discussion

34.	In a dance class of 12 student, one of them who is 15 yr old leaves the class and a new student is admitted. This change increases the average age of the class by 3 months. Then, age of the new student is
Answer» In a dance class of 12 student, one of them who is 15 yr old leaves the class and a new student is admitted. This change increases the average age of the class by 3 months. Then, age of the new student is

Discussion

35.	Find the solution of the following system of linear equations from the given options.
Answer» Find the solution of the following system of linear equations from the given options.

35.

Find the solution of the following system of linear equations from the given options.

Answer»

Find the solution of the following system of linear equations from the given options.

Discussion

36.	Which of the following are the sides of right angled triangle?
Answer» Which of the following are the sides of right angled triangle?

Discussion

37.	Square rroo of the correct to decimal number 789 long division
Answer» Square rroo of the correct to decimal number 789 long division

Discussion

38.	Question 3 (i) Form the pair of linear equations for the following problems and find their solution by substitution method: (i) The difference between two numbers is 26 and one number is three times the other. Find them.
Answer» Question 3 (i) Form the pair of linear equations for the following problems and find their solution by substitution method: (i) The difference between two numbers is 26 and one number is three times the other. Find them.

Discussion

39.	Mr. Basu borrows Rs 1,00,000 from State Bank of India at 11% per annum compound interest. He repays Rs 41,000 at the end of first year and Rs 47,700 at the end of second year. Find the amount outstanding at the beginning of the third year.
Answer» Mr. Basu borrows Rs 1,00,000 from State Bank of India at 11% per annum compound interest. He repays Rs 41,000 at the end of first year and Rs 47,700 at the end of second year. Find the amount outstanding at the beginning of the third year.

Discussion

40.	A principal of ₹ 40,000 is compounded annually at the rate of 10% for 2 years. What is the compound interest and is it greater than the simple interest for the same rate and the same time?
Answer» A principal of ₹ 40,000 is compounded annually at the rate of 10% for 2 years. What is the compound interest and is it greater than the simple interest for the same rate and the same time?

Discussion

41.	Solve the following equations and verify your answer : Find a positive value of x for which the given equation is satisfied : (i) x2−95+x2=−59 (ii) y2+43y2+7=12
Answer» Solve the following equations and verify your answer : Find a positive value of x for which the given equation is satisfied : (i) $\frac{x^{2} - 9}{5 + x^{2}} = - \frac{5}{9}$ (ii) $\frac{y^{2} + 4}{3 y^{2} + 7} = \frac{1}{2}$

41.

Solve the following equations and verify your answer : Find a positive value of x for which the given equation is satisfied : (i) x2−95+x2=−59 (ii) y2+43y2+7=12

Answer»

Solve the following equations and verify your answer :

Find a positive value of x for which the given equation is satisfied :

(i) $\frac{x^{2} - 9}{5 + x^{2}} = - \frac{5}{9}$

(ii) $\frac{y^{2} + 4}{3 y^{2} + 7} = \frac{1}{2}$

Discussion

42.	Draw a pentagon and draw a hexagon. Draw all the diagonals for both these figures. Which figure has more diagonals?
Answer» Draw a pentagon and draw a hexagon. Draw all the diagonals for both these figures. Which figure has more diagonals?

Discussion

43.	The median of grouped data is of the form:
Answer» The median of grouped data is of the form:

Discussion

44.	In the given right-angled triangle, if AB = 3 cm, BC = 4 cm, then the value of AC (in cm) is ___
Answer» In the given right-angled triangle, if AB = 3 cm, BC = 4 cm, then the value of AC (in cm) is ___

44.

In the given right-angled triangle, if AB = 3 cm, BC = 4 cm, then the value of AC (in cm) is ___

Answer»

In the given right-angled triangle, if AB = 3 cm, BC = 4 cm, then the value of AC (in cm) is

___

Discussion

45.	A bag contains ₹600 in the form of ₹1, 50 paise and 25 paise coins in the ratio 3:4:12.Find the number of 25paise coins.
Answer» A bag contains ₹600 in the form of ₹1, 50 paise and 25 paise coins in the ratio 3:4:12.Find the number of 25paise coins.

Discussion

46.	What is the next number in the series 4743, 4137,3129,2319,?
Answer» What is the next number in the series 4743, 4137,3129,2319,?

Discussion

47.	In a much-simplified form, the given algebraic expression could be written as:(a2 + ab + b2)(a − b)
Answer» In a much-simplified form, the given algebraic expression could be written as: $(a^{2} + a b + b^{2}) (a - b)$

Discussion

48.	While constructing quadrilateral PQRS with 3 sides and 2 diagonals, which of the following geometric apparatus is not used?
Answer» While constructing quadrilateral PQRS with 3 sides and 2 diagonals, which of the following geometric apparatus is not used?

Discussion

49.	What is the sentence type? Geeta will not cheat during the exams, for she was taught well by her mentors.
Answer» What is the sentence type? Geeta will not cheat during the exams, for she was taught well by her mentors.

49.

What is the sentence type? Geeta will not cheat during the exams, for she was taught well by her mentors.

Answer»

What is the sentence type?

Geeta will not cheat during the exams, for she was taught well by her mentors.

Discussion

50.	A bathroom floor of area 120 cm2 has to be refurnished with tiles. The shape of the tile is a triangle having the base as 3 cm and height as 4 cm. How many tiles are needed to refurnish the entire bathroom floor?20
Answer» A bathroom floor of area $120 c m^{2}$ has to be refurnished with tiles. The shape of the tile is a triangle having the base as 3 cm and height as 4 cm. How many tiles are needed to refurnish the entire bathroom floor? 20

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If 4 dozen eggs cost ₹ 144, find the cost of 5 scores of eggs [1 score = 20]

If 3x+13x=3; find :(i)9x2+19x2(ii)27x3+127x3

If 3(3x+5)+12=2(x+3),then find the value of x.

The graph below shows the usage of graph types in a school. Choose the correct options on basis of data given.

ronit is now 20 years old and isha is 4 years old. in how many years will ronit be twice as old as isha

In the given figure, find the measure of ∠RQT if PQ=QR and ∠QPR=60∘.

Two adjacent sides ofa a parallelogram are 4 cm and 3 cm respectively. Find its perimeter.

The value of x(x+3)(x2+6) when x=2 is

If the selling price of 10 pens is equal to cost price of 14 pens, find the gain percent.

Which of the following will have 4 at the unit place?

The denominator of a rational number is greater than its numerator by 6. If the Numerator is increased by 15 and the denominator is decreased by 1, the number Obtained is 2. Find the rational number.

By using the formula, find the amount and compound interest on: At what rate per cent per annum will Rs 4000 amount to Rs 4410 in 2 years when compounded annually ?

A cuboidal block of solid iron has dimension 50 cm, 45 cm and 34 cm. How many cubiods of size 5 cm by 2 cm can be obtained from this block? Assume cutting causes no wasteage.

A cylindrical vessel open at the top has diameter 20cm and height 14cm. Find the cost of the tin- plating it on the inside at the rate of 50 paise per hundred square centimetre.

A parallelogram and a rhombus are equal in area. The diagonals of the rhombus measure 120 m and 44 m. If one of the sides of the parallelogram measures 66 m, find its corresponding altitutde.

A bat is bought for Rs. 120 and sold for Rs. 105. The loss per cent is (a) 15% (b) 1212% (c) 1623% (d) 1415%

In a parallelogram ABCD, the diagonals bisect each other at O. If ∠ABC=30∘,∠BDC=10∘and∠CAB=70∘. Find: ∠DAB,∠ADC,∠BCD,∠AOD,∠DOC,∠BOC,∠AOB,∠ACD,∠CAB,∠ADB,∠ACB,∠DBC and ∠DBA.

Find the compound interest on ₹10,000 in 2 years at 4% per annum, the interest being compounded half-yearly.

The following figure is a rectanle in which x : y = 3 : 7; find the values of x and y.

A,B and C working together can plough a field in 4 4/5 days. A and C together it in 8 days. How long would B alone take to plough the field.

Question 7 If a% is the discount percent on a marked price x, then discount is (a) xa×100 (b) ax×100 (c) x×a100 (d) 100x×a

Question 8 ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD: A) Is a rectangle B) Is always a rhombus C) Is a parallelogram ​​​​​​​D) ​​​​​​​Need not be any of (a), (b) or (c)

Simple definition of polynomial.

Find each of the following products: (2x2+3x−7)×(3x2−5x+4)

Reflection of a point in x - axis will change its ___ coordinate.

Find the compound interest paid when a sum of Rs 10000 is invested for 2 years and 8 % per annum compounded annually

To gain 25% after allowing a discount of 10%, the shopkeeper must mark the price of the article which costs him Rs. 360 as:

What is a diagonal?

Write a Pythagorean triplet whose one member is 6 ,14 ,16 and 18

A water vessel is one – fifth full. Tube X can fill a vessel in 5 minutes and tube Y can empty it in 3 minutes. If both the tubes are open, how long will it take to empty or fill the vessel completely?

Find the decimal form of √24.75

Why circle is not considered a polygon if it can be formed by many tiny straight lines?

There are some lotus in a pound. Group of birds were throught to rest there. Each birds were sit on each flowers. Then one bird hasn't lotus to sit.on another case, each pair of birds were sat on each flower. Then how many flowers were there and how many birds were there?

In a dance class of 12 student, one of them who is 15 yr old leaves the class and a new student is admitted. This change increases the average age of the class by 3 months. Then, age of the new student is

Find the solution of the following system of linear equations from the given options.

Which of the following are the sides of right angled triangle?

Square rroo of the correct to decimal number 789 long division

Question 3 (i) Form the pair of linear equations for the following problems and find their solution by substitution method: (i) The difference between two numbers is 26 and one number is three times the other. Find them.

Mr. Basu borrows Rs 1,00,000 from State Bank of India at 11% per annum compound interest. He repays Rs 41,000 at the end of first year and Rs 47,700 at the end of second year. Find the amount outstanding at the beginning of the third year.

A principal of ₹ 40,000 is compounded annually at the rate of 10% for 2 years. What is the compound interest and is it greater than the simple interest for the same rate and the same time?

Solve the following equations and verify your answer : Find a positive value of x for which the given equation is satisfied : (i) x2−95+x2=−59 (ii) y2+43y2+7=12

Draw a pentagon and draw a hexagon. Draw all the diagonals for both these figures. Which figure has more diagonals?

The median of grouped data is of the form:

In the given right-angled triangle, if AB = 3 cm, BC = 4 cm, then the value of AC (in cm) is ___

A bag contains ₹600 in the form of ₹1, 50 paise and 25 paise coins in the ratio 3:4:12.Find the number of 25paise coins.

What is the next number in the series 4743, 4137,3129,2319,?

In a much-simplified form, the given algebraic expression could be written as:(a2 + ab + b2)(a − b)

While constructing quadrilateral PQRS with 3 sides and 2 diagonals, which of the following geometric apparatus is not used?

What is the sentence type? Geeta will not cheat during the exams, for she was taught well by her mentors.

A bathroom floor of area 120 cm2 has to be refurnished with tiles. The shape of the tile is a triangle having the base as 3 cm and height as 4 cm. How many tiles are needed to refurnish the entire bathroom floor?20

Question 8 ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD: A) Is a rectangle B) Is always a rhombus C) Is a parallelogram D) Need not be any of (a), (b) or (c)