25365 + Interview Questions in Mathematics Page 245 InterviewSolution

12201.	If (a−b)=6 and a2+b2=30, then the value of ab is equal to ____.
Answer» If $(a - b) = 6$ and $a^{2} + b^{2} = 30$ , then the value of ab is equal to ____.

Discussion

12202.	Question 1 (iv)Express 5005 as the product of its prime factors.
Answer» Question 1 (iv) Express 5005 as the product of its prime factors.

Discussion

12203.	Solve andcheck result:
Answer» Solve and check result:

Discussion

12204.	A carpenter was hired to build 192 window frames. The first day he made five frames and each day, these after he made two more frames than he made the day before. How many days did it take him to finish the job? What value is indicated by the carpenter by making two more frame than he made the day before?
Answer» A carpenter was hired to build 192 window frames. The first day he made five frames and each day, these after he made two more frames than he made the day before. How many days did it take him to finish the job? What value is indicated by the carpenter by making two more frame than he made the day before?

12204.

A carpenter was hired to build 192 window frames. The first day he made five frames and each day, these after he made two more frames than he made the day before. How many days did it take him to finish the job? What value is indicated by the carpenter by making two more frame than he made the day before?

Answer»

A carpenter was hired to build 192 window frames. The first day he made five frames and each day, these after he made two more frames than he made the day before. How many days did it take him to finish the job?

What value is indicated by the carpenter by making two more frame than he made the day before?

Discussion

12205.	Question 108Store A and store B both charge Rs. 750 for a video game. This week the video game is on sale Rs. 600 at store B and for 25 % off at store A. At which store is the game less expensive ?
Answer» Question 108 Store A and store B both charge Rs. 750 for a video game. This week the video game is on sale Rs. 600 at store B and for 25 % off at store A. At which store is the game less expensive ?

12205.

Question 108Store A and store B both charge Rs. 750 for a video game. This week the video game is on sale Rs. 600 at store B and for 25 % off at store A. At which store is the game less expensive ?

Answer»

Question 108

Store A and store B both charge Rs. 750 for a video game. This week the video game is on sale Rs. 600 at store B and for 25 % off at store A. At which store is the game less expensive ?

Discussion

12206.	Profit share distribution is given as:Keeping the family's profit unchanged and after giving everyone an equal share of the profit, find what fraction of the total profit can be reinvested.
Answer» Profit share distribution is given as: Keeping the family's profit unchanged and after giving everyone an equal share of the profit, find what fraction of the total profit can be reinvested.

Discussion

12207.	Question 40A pie chart is used to compare ___ to a whole.
Answer» Question 40 A pie chart is used to compare ___ to a whole.

12207.

Question 40A pie chart is used to compare ___ to a whole.

Answer»

Question 40

A pie chart is used to compare ___ to a whole.

Discussion

12208.	14. Find the square root of 3.1428
Answer» 14. Find the square root of 3.1428

Discussion

12209.	(3x−2)(2x−3)+(5x−3)(x+1)
Answer» $(3 x - 2) (2 x - 3) + (5 x - 3) (x + 1)$

Discussion

12210.	Factorise: 3x7y−81x4y4
Answer» Factorise: $3 x^{7} y - 81 x^{4} y^{4}$

12210.

Factorise: 3x7y−81x4y4

Answer»

Factorise:

$3 x^{7} y - 81 x^{4} y^{4}$

Discussion

12211.	Aminathinks of a number and subtracts fromit. She multiplies the result by 8. The result now obtained is 3times the same number she thought of. What is the number?
Answer» Amina thinks of a number and subtracts from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?

Discussion

12212.	Which of these shapes has been made using a tangram?
Answer» Which of these shapes has been made using a tangram?

Discussion

12213.	Find the sum of 10 terms of the sequence 1,3,5,7,…
Answer» Find the sum of 10 terms of the sequence 1,3,5,7,…

Discussion

12214.	In the given figure, POQ is a line, then the value of x is
Answer» In the given figure, $P O Q$ is a line, then the value of $x$ is

Discussion

12215.	Question 36The negative of 1 is ___
Answer» Question 36 The negative of 1 is ___

Discussion

12216.	Prove that for any positive integer n, n^3-n is always divisible by 6
Answer» Prove that for any positive integer n, n^3-n is always divisible by 6

Discussion

12217.	The shortest form of (a3 + b3)(a2−ab+b2) is ___.
Answer» The shortest form of $\frac{(a^{3} + b^{3})}{(a^{2} - a b + b^{2})}$ is ___.

Discussion

12218.	Half of the students in a class are practising dance and three-fourths of the remaining are playing cricket. If the remaining 9 students are studying in the library, find the total number of students in the class.
Answer» Half of the students in a class are practising dance and three-fourths of the remaining are playing cricket. If the remaining 9 students are studying in the library, find the total number of students in the class.

Discussion

12219.	iñtegration of }3dt where x2 is 2 and x1 is 0
Answer» iñtegration of }3dt where x2 is 2 and x1 is 0

Discussion

12220.	Mark the correct alternative in the following question:Which of the following pairs is/are like terms?(1) x (2) x2 (3) 3x3 (4) 4x3(a) 1, 2 (b) 2, 3 (c) 3, 4 (d) None of these
Answer» Mark the correct alternative in the following question: Which of the following pairs is/are like terms? (1) x (2) x² (3) 3x³ (4) 4x³ (a) 1, 2 (b) 2, 3 (c) 3, 4 (d) None of these

Discussion

12221.	Question 1 (d)Look at the given map of a cityAnswer the following.(d) Which is the further east, the city park or the market?
Answer» Question 1 (d) Look at the given map of a city Answer the following. (d) Which is the further east, the city park or the market?

Discussion

12222.	If a^2+b^2-1=0 and ab-b-a=2,then the value of the expression 1-a-b can be
Answer» If a^2+b^2-1=0 and ab-b-a=2,then the value of the expression 1-a-b can be

Discussion

12223.	If the radius of a candle is r, then the ratio of its volume to curved surface area is:
Answer» If the radius of a candle is $r,$ then the ratio of its volume to curved surface area is:

Discussion

12224.	4.The maximum value of y=Asinx+ Bcosx is [where A and B are positive constant (A>B)]
Answer» 4.The maximum value of y=Asinx+ Bcosx is [where A and B are positive constant (A>B)]

Discussion

12225.	In the adjacent sum, A, B, C are consecutive dig-its. In the third row, A, B, C appear in some order.Find A, B, C.
Answer» In the adjacent sum, A, B, C are consecutive dig-its. In the third row, A, B, C appear in some order. Find A, B, C.

12225.

In the adjacent sum, A, B, C are consecutive dig-its. In the third row, A, B, C appear in some order.Find A, B, C.

Answer»

In the adjacent sum, A, B, C are consecutive dig-its. In the third row, A, B, C appear in some order.

Find A, B, C.

Discussion

12226.	It would take ___ steps to arrive at 0 from 256 to find its square root by repeated subtraction of odd numbers.
Answer» It would take ___ steps to arrive at 0 from 256 to find its square root by repeated subtraction of odd numbers.

Discussion

12227.	Savitri has a sum of ₹x. She spent ₹1,000 on grocery, ₹500 on clothes and ₹400 on education and received ₹200 as a gift. How much money (in ₹) is left with her?
Answer» Savitri has a sum of ₹ $x$ . She spent ₹1,000 on grocery, ₹500 on clothes and ₹400 on education and received ₹200 as a gift. How much money (in ₹) is left with her?

Discussion

12228.	Question 16The factorization of 4x2+8x+3 isA) (x+1)(x+3)B) (2x+1)(2x+3)C) (2x+2)(2x+5)D) (2x−1)(2x−3)
Answer» Question 16 The factorization of $4 x^{2} + 8 x + 3$ is A) $(x + 1) (x + 3)$ B) $(2 x + 1) (2 x + 3)$ C) $(2 x + 2) (2 x + 5)$ D) $(2 x - 1) (2 x - 3)$

Discussion

12229.	Drawappropriate Venn diagram for each of the following:(i) (ii) (iii) (iv)
Answer» Draw appropriate Venn diagram for each of the following: (i) (ii) (iii) (iv)

12229.

Drawappropriate Venn diagram for each of the following:(i) (ii) (iii) (iv)

Answer»

Draw
appropriate Venn diagram for each of the following:

(i)

(ii)

(iii)

(iv)

Discussion

12230.	Use the distributive property and calculate :1137(511+23)
Answer» Use the distributive property and calculate : $\frac{11}{37} (\frac{5}{11} + \frac{2}{3})$

Discussion

12231.	The area of the circle is 154 cm2. If the radius of the sphere is same as the radius of the circle, then what will be the volume of the sphere?NOTE: Take the value of π=227
Answer» The area of the circle is $154 {cm}^{2}$ . If the radius of the sphere is same as the radius of the circle, then what will be the volume of the sphere? NOTE: Take the value of $π = \frac{22}{7}$

Discussion

12232.	Question 15Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given:Area:25a2−35a+12(i) Area:35y2+13y−12(ii)
Answer» Question 15 Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given: $\begin{matrix} \begin{matrix} A r e a : 25 a^{2} - 35 a + 12 \end{matrix} (i) \end{matrix} \begin{matrix} \begin{matrix} A r e a : 35 y^{2} + 13 y - 12 \end{matrix} (i i) \end{matrix}$

Discussion

12233.	Find the missing term, if the table given below shows a proportional relationship between x and y.28
Answer» Find the missing term, if the table given below shows a proportional relationship between x and y. 28

Discussion

12234.	Calculate the angle the plumb line makes with the true vertical at lambda.
Answer» Calculate the angle the plumb line makes with the true vertical at lambda.

Discussion

12235.	15 / root 10 + root 20 + root 40 - root 5 -root 80=?
Answer» 15 / root 10 + root 20 + root 40 - root 5 -root 80=?

Discussion

12236.	Question 78(ii)Observe the toothpick pattern given below Make a graph by taking the pattern numbers on the horizontal axis and the number of toothpicks on the vertical axis.Make the horizontal axis from 0 to 10 and the vertical axis from 0 to 30.
Answer» Question 78(ii) Observe the toothpick pattern given below Make a graph by taking the pattern numbers on the horizontal axis and the number of toothpicks on the vertical axis.Make the horizontal axis from 0 to 10 and the vertical axis from 0 to 30.

Discussion

12237.	Simplify: (0.8m + 1.1n) (0.8m - 1.1n)
Answer» Simplify: (0.8m + 1.1n) (0.8m - 1.1n)

Discussion

12238.	Tap on the subtraction statement which gives 25 as the answer.
Answer» Tap on the subtraction statement which gives 25 as the answer.

Discussion

12239.	22. Construct a right triangle ABC right angled at B in which BC=4cm and AC+AB=8cm
Answer» 22. Construct a right triangle ABC right angled at B in which BC=4cm and AC+AB=8cm

Discussion

12240.	The sides of a parallelogram are 4 and 5 units. Its perimeter is ___ units.
Answer» The sides of a parallelogram are 4 and 5 units. Its perimeter is ___ units.

Discussion

12241.	There are 3 points which are collinear and a separate 4th point. Which figures can be formed by using atleast 2 points?
Answer» There are 3 points which are collinear and a separate 4th point. Which figures can be formed by using atleast 2 points?

Discussion

12242.	A square has an angle of rotation of ______.
Answer» A square has an angle of rotation of ______.

Discussion

12243.	Arrange in ascending order: -1, -11 , 111 , -111 , 11 , 0 , 1
Answer» Arrange in ascending order: -1, -11 , 111 , -111 , 11 , 0 , 1

12243.

Arrange in ascending order: -1, -11 , 111 , -111 , 11 , 0 , 1

Answer»

Arrange in ascending order:

-1, -11 , 111 , -111 , 11 , 0 , 1

Discussion

12244.	What term should be added to (a^2 - 2ab) to make it a perfect square?
Answer» What term should be added to (a^2 - 2ab) to make it a perfect square?

Discussion

12245.	If a + b + c = 9 and ab +bc + ca = 26, find the value of a3 + b3+ c3 − 3abc
Answer» If a + b + c = 9 and ab +bc + ca = 26, find the value of a³ + b³+ c³ − 3abc

Discussion

12246.	Multiply (3x3)×(6x2y)×(2x2yz3).
Answer» Multiply $(3 x^{3}) \times (6 x^{2} y) \times (2 x^{2} y z^{3})$ .

Discussion

12247.	Alexander was solving maths without any calculator. He needs to find the decimal value of √10 up to two decimal places. Help Alexander by finding the approximate value of √10 upto two decimal place.
Answer» Alexander was solving maths without any calculator. He needs to find the decimal value of $\sqrt{10}$ up to two decimal places. Help Alexander by finding the approximate value of $\sqrt{10}$ upto two decimal place.

Discussion

12248.	Prove that the product of three consecutive numbers when the first number is even is divisible by 6.
Answer» Prove that the product of three consecutive numbers when the first number is even is divisible by 6.

Discussion

12249.	In a ∆ABC, if ∠A < ∠B < 45°, then ∆ABC is a/an ________ triangle.
Answer» In a ∆ABC, if ∠A < ∠B < 45°, then ∆ABC is a/an ________ triangle.

Discussion

12250.	Question 176 ABCD is a parallelogram. The bisector of angle A intersects CD at X and bisector of angle C intersects AB at Y. Is AXCY a parallelogram? Give reason.
Answer» Question 176 ABCD is a parallelogram. The bisector of angle A intersects CD at X and bisector of angle C intersects AB at Y. Is AXCY a parallelogram? Give reason.

Discussion

Explore topic-wise InterviewSolutions in .

If (a−b)=6 and a2+b2=30, then the value of ab is equal to ____.

Question 1 (iv)Express 5005 as the product of its prime factors.

Solve andcheck result:

Question 108Store A and store B both charge Rs. 750 for a video game. This week the video game is on sale Rs. 600 at store B and for 25 % off at store A. At which store is the game less expensive ?

Profit share distribution is given as:Keeping the family's profit unchanged and after giving everyone an equal share of the profit, find what fraction of the total profit can be reinvested.

Question 40A pie chart is used to compare ___ to a whole.

14. Find the square root of 3.1428

(3x−2)(2x−3)+(5x−3)(x+1)

Factorise: 3x7y−81x4y4

Aminathinks of a number and subtracts fromit. She multiplies the result by 8. The result now obtained is 3times the same number she thought of. What is the number?

Which of these shapes has been made using a tangram?

Find the sum of 10 terms of the sequence 1,3,5,7,…

In the given figure, POQ is a line, then the value of x is

Question 36The negative of 1 is ___

Prove that for any positive integer n, n^3-n is always divisible by 6

The shortest form of (a3 + b3)(a2−ab+b2) is ___.

Half of the students in a class are practising dance and three-fourths of the remaining are playing cricket. If the remaining 9 students are studying in the library, find the total number of students in the class.

iñtegration of }3dt where x2 is 2 and x1 is 0

Mark the correct alternative in the following question:Which of the following pairs is/are like terms?(1) x (2) x2 (3) 3x3 (4) 4x3(a) 1, 2 (b) 2, 3 (c) 3, 4 (d) None of these

Question 1 (d)Look at the given map of a cityAnswer the following.(d) Which is the further east, the city park or the market?

If a^2+b^2-1=0 and ab-b-a=2,then the value of the expression 1-a-b can be

If the radius of a candle is r, then the ratio of its volume to curved surface area is:

4.The maximum value of y=Asinx+ Bcosx is [where A and B are positive constant (A>B)]

In the adjacent sum, A, B, C are consecutive dig-its. In the third row, A, B, C appear in some order.Find A, B, C.

It would take ___ steps to arrive at 0 from 256 to find its square root by repeated subtraction of odd numbers.

Savitri has a sum of ₹x. She spent ₹1,000 on grocery, ₹500 on clothes and ₹400 on education and received ₹200 as a gift. How much money (in ₹) is left with her?

Question 16The factorization of 4x2+8x+3 isA) (x+1)(x+3)B) (2x+1)(2x+3)C) (2x+2)(2x+5)​​​​​​​D) (2x−1)(2x−3)

Drawappropriate Venn diagram for each of the following:(i) (ii) (iii) (iv)

Use the distributive property and calculate :1137(511+23)

The area of the circle is 154 cm2. If the radius of the sphere is same as the radius of the circle, then what will be the volume of the sphere?NOTE: Take the value of π=227

Question 15Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given:Area:25a2−35a+12(i) Area:35y2+13y−12(ii)

Find the missing term, if the table given below shows a proportional relationship between x and y.28

Calculate the angle the plumb line makes with the true vertical at lambda.

15 / root 10 + root 20 + root 40 - root 5 -root 80=?

Question 78(ii)Observe the toothpick pattern given below Make a graph by taking the pattern numbers on the horizontal axis and the number of toothpicks on the vertical axis.Make the horizontal axis from 0 to 10 and the vertical axis from 0 to 30.

Simplify: (0.8m + 1.1n) (0.8m - 1.1n)

Tap on the subtraction statement which gives 25 as the answer.

22. Construct a right triangle ABC right angled at B in which BC=4cm and AC+AB=8cm

The sides of a parallelogram are 4 and 5 units. Its perimeter is ___ units.

There are 3 points which are collinear and a separate 4th point. Which figures can be formed by using atleast 2 points?

A square has an angle of rotation of ______.

Arrange in ascending order: -1, -11 , 111 , -111 , 11 , 0 , 1

What term should be added to (a^2 - 2ab) to make it a perfect square?

If a + b + c = 9 and ab +bc + ca = 26, find the value of a3 + b3+ c3 − 3abc

Multiply (3x3)×(6x2y)×(2x2yz3).

Alexander was solving maths without any calculator. He needs to find the decimal value of √10 up to two decimal places. Help Alexander by finding the approximate value of √10 upto two decimal place.

Prove that the product of three consecutive numbers when the first number is even is divisible by 6.

In a ∆ABC, if ∠A < ∠B < 45°, then ∆ABC is a/an ________ triangle.

Question 176 ABCD is a parallelogram. The bisector of angle A intersects CD at X and bisector of angle C intersects AB at Y. Is AXCY a parallelogram? Give reason.

Question 16The factorization of 4x2+8x+3 isA) (x+1)(x+3)B) (2x+1)(2x+3)C) (2x+2)(2x+5)D) (2x−1)(2x−3)