25365 + Interview Questions in Mathematics

1.	A field in the form of a rhombus has each side of length 64 m and altitude 16 m.What is the side of a square field which has the same area as that of a rhombus ?
Answer» A field in the form of a rhombus has each side of length 64 m and altitude 16 m.What is the side of a square field which has the same area as that of a rhombus ?

Discussion

2.	Factorise: 3z2−10z+8
Answer» Factorise: $3 z^{2} - 10 z + 8$

2.

Factorise: 3z2−10z+8

Answer»

Factorise:

$3 z^{2} - 10 z + 8$

Discussion

3.	Let F1 be the set of all parallelograms, F2 the set of rectangles, F3 the set of rhombuses, F4 the set of squares and F5 the set of trapeziums in a plane, then F1 is equal to
Answer» Let $F_{1}$ be the set of all parallelograms, $F_{2}$ the set of rectangles, $F_{3}$ the set of rhombuses, $F_{4}$ the set of squares and $F_{5}$ the set of trapeziums in a plane, then $F_{1}$ is equal to

Discussion

4.	X=6√(91125216)2,thenX=
Answer» $X = \sqrt[6]{(\frac{91125}{216})^{2}}, t h e n X =$

Discussion

5.	A rectangular water tank is 90 cm wide and 40 cm deep. If it can contain 576 litres of water, what is its length?
Answer» A rectangular water tank is 90 cm wide and 40 cm deep. If it can contain 576 litres of water, what is its length?

Discussion

6.	(ax+by)2+(bx−ay)2 factorise it
Answer» $(a x + b y)^{2} + (b x - a y)^{2}$ factorise it

Discussion

7.	a man has 8 children to take them zoo. he takes three of them at a time to the zoo as often as he can without taking the same 3 children together more than once. how many times will he have to go to the zoo? how many times a particular child will go to the zoo
Answer» a man has 8 children to take them zoo. he takes three of them at a time to the zoo as often as he can without taking the same 3 children together more than once. how many times will he have to go to the zoo? how many times a particular child will go to the zoo

Discussion

8.	When a lateral cylinder is cut, we get a rectangle. Why is the formula for curved surface area of cylinder is not l*b ?
Answer» When a lateral cylinder is cut, we get a rectangle. Why is the formula for curved surface area of cylinder is not l*b ?

Discussion

9.	a=3+b , then a3 - b3-9ab is
Answer» a=3+b , then a³- b³-9ab is

Discussion

10.	How to do factorisation? Easy method to do factorisation? ,
Answer» How to do factorisation? Easy method to do factorisation? ,

10.

How to do factorisation? Easy method to do factorisation? ,

Answer»

How to do factorisation?

Easy method to do factorisation?

,

Discussion

11.	The distance between two stations is 340 km. Two trains start simultaneously from these stations on parallel tracks to cross each other. The speed of one of them is greater than the other by 5 km/hr. If the distance between the two trains after 2 hours of their start is 30 km, find the speed of each train.
Answer» The distance between two stations is $340 k m$ . Two trains start simultaneously from these stations on parallel tracks to cross each other. The speed of one of them is greater than the other by $5 k m / h r$ . If the distance between the two trains after $2$ hours of their start is $30 k m$ , find the speed of each train.

Discussion

12.	Question 4(ii) Shade 23 of the triangles in box
Answer» Question 4(ii) Shade $\frac{2}{3}$ of the triangles in box

Discussion

13.	Find the smallest natural number by which 1200 should be multiplied so that the square root of the product is a rational number
Answer» Find the smallest natural number by which 1200 should be multiplied so that the square root of the product is a rational number

Discussion

14.	Fabina borrows ₹12,500 at 12% per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at 10% per annum, compounded annually. Who pays more interest and by how much?
Answer» Fabina borrows ₹12,500 at 12% per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at 10% per annum, compounded annually. Who pays more interest and by how much?

Discussion

15.	The intercept on the line y = x by the circle x2+y2−2x=0 is AB. The equation of the circle on AB as a diameter is
Answer» The intercept on the line y = x by the circle $x^{2} + y^{2} - 2 x = 0$ is AB. The equation of the circle on AB as a diameter is

Discussion

16.	The lowest form of (a + b)ab − 2(a + b) if ab=1.
Answer» The lowest form of $\frac{(a + b)}{a b} - \frac{2}{(a + b)}$ if ab=1.

Discussion

17.	The area of an equilateral triangle is 49√3 cm2. Taking each angular point as centre, a circle is described with radius equal to half the length of the side of the triangle. Find the area of the triangle not included in the circle. [ 4 MARKS ]
Answer» The area of an equilateral triangle is $49 \sqrt{3} c m^{2}$ . Taking each angular point as centre, a circle is described with radius equal to half the length of the side of the triangle. Find the area of the triangle not included in the circle. [ 4 MARKS ]

Discussion

18.	Find square root for 41
Answer» Find square root for 41

Discussion

19.	Factorise: 4a2−(4b2+4bc+c2)
Answer» Factorise: $4 a^{2} - (4 b^{2} + 4 b c + c^{2})$

19.

Factorise: 4a2−(4b2+4bc+c2)

Answer»

Factorise:

$4 a^{2} - (4 b^{2} + 4 b c + c^{2})$

Discussion

20.	Middle term break
Answer» Middle term break

Discussion

21.	The difference between the compound interest and the simple interest accrued on an amount of Rs. 18,000 in 2 years was Rs.405. What was the rate of interest compounded annually?
Answer» The difference between the compound interest and the simple interest accrued on an amount of Rs. 18,000 in 2 years was Rs.405. What was the rate of interest compounded annually?

Discussion

22.	If a quadrilateral with 4 sides and a diagonal is given, which of the following conditions is used in the construction?
Answer» If a quadrilateral with 4 sides and a diagonal is given, which of the following conditions is used in the construction?

Discussion

23.	Mr. Britto deposits a certain sum of money each month in a Recurring Deposit Account of a bank. If the rate of interest is 8% per annum and Mr. Britto gets Rs 8088 from the bank after 3 years, find the value of his monthly instalment. [4 MARKS]
Answer» Mr. Britto deposits a certain sum of money each month in a Recurring Deposit Account of a bank. If the rate of interest is 8% per annum and Mr. Britto gets Rs 8088 from the bank after 3 years, find the value of his monthly instalment. [4 MARKS]

Discussion

24.	Multiplicative inverse of -3 upon 7 in bracket raise to -9
Answer» Multiplicative inverse of -3 upon 7 in bracket raise to -9

Discussion

25.	Sum of 3 consecutive multiples of 5 is 345. Find the ratio of the highest multiple and the lowest multiple.
Answer» Sum of 3 consecutive multiples of 5 is 345. Find the ratio of the highest multiple and the lowest multiple.

Discussion

26.	Question 100 Write two Pythagorean triplets, each having one of the numbers as 5.
Answer» Question 100 Write two Pythagorean triplets, each having one of the numbers as 5.

26.

Question 100 Write two Pythagorean triplets, each having one of the numbers as 5.

Answer»

Question 100

Write two Pythagorean triplets, each having one of the numbers as 5.

Discussion

27.	Question 3 The following observations have been arranged in a scending order. If the median of the data is 63, find the value of x. 29,32,48,50, x, x +2, 72, 78,84, 95
Answer» Question 3 The following observations have been arranged in a scending order. If the median of the data is 63, find the value of x. 29,32,48,50, x, x +2, 72, 78,84, 95

Discussion

28.	If in a parallelogram, the diagonals bisect each other at right angles, then the parallelogram is a ___.
Answer» If in a parallelogram, the diagonals bisect each other at right angles, then the parallelogram is a ___.

28.

If in a parallelogram, the diagonals bisect each other at right angles, then the parallelogram is a ___.

Answer»

If in a parallelogram, the diagonals bisect each other at right angles, then the parallelogram is a ___.

Discussion

29.	7×100 +1×10 +8= ?
Answer» $7 \times 100 + 1 \times 10 + 8 = ?$

Discussion

30.	Eight times the sum of the areas of two circular faces of a cylinder is equal to the four times the curved surface area of the cylinder. It is given that the diameter of the cylinder is 4n, where n is an integer and height of the cylinder is 8 cm. Find the value of n. ___
Answer» Eight times the sum of the areas of two circular faces of a cylinder is equal to the four times the curved surface area of the cylinder. It is given that the diameter of the cylinder is 4n, where n is an integer and height of the cylinder is 8 cm. Find the value of n. ___

Discussion

31.	Given circle has a circumference of 70 metres. Find its area. [2 MARKS]
Answer» Given circle has a circumference of 70 metres. Find its area. [2 MARKS]

Discussion

32.	If a+b=7 and ab=6 , find a2−b2
Answer» If $a + b = 7 a n d a b = 6$ , find $a^{2} - b^{2}$

Discussion

33.	A retailer buys an article from the wholesaler at ₹80 and the wholesaler charges a sales tax at the prescribed rate of 8% upon it. The retailer fixes the price at ₹100 and charges sales tax at the same rate from the customers. Find the total Sales tax paid in the process.
Answer» A retailer buys an article from the wholesaler at ₹80 and the wholesaler charges a sales tax at the prescribed rate of 8% upon it. The retailer fixes the price at ₹100 and charges sales tax at the same rate from the customers. Find the total Sales tax paid in the process.

Discussion

34.	The area λ enclosed by two concentric circles of radius 5 cm and 12 cm is ___ cm2
Answer» The area $λ$ enclosed by two concentric circles of radius 5 cm and 12 cm is ___ $c m^{2}$

Discussion

35.	The sides of a triangle are in the ratio 1:2:2 and its perimeter is 500 m. Then, area of the triangle is:
Answer» The sides of a triangle are in the ratio $1 : 2 : 2$ and its perimeter is $500 m$ . Then, area of the triangle is:

Discussion

36.	The following pie chart gives the marks obtained by a student in different subjects – English, Hindi, Mathematics, Science and Social Science in an examination. Assuming that the total marks obtained for the examination are 540. The marks scored in Social Science is more than ____.
Answer» The following pie chart gives the marks obtained by a student in different subjects – English, Hindi, Mathematics, Science and Social Science in an examination. Assuming that the total marks obtained for the examination are 540. The marks scored in Social Science is more than ____.

Discussion

37.	The median of following data is: 4, 5, 3, 3, 4, 3, 1
Answer» The median of following data is: 4, 5, 3, 3, 4, 3, 1

37.

The median of following data is: 4, 5, 3, 3, 4, 3, 1

Answer»

The median of following data is:

4, 5, 3, 3, 4, 3, 1

Discussion

38.	Number 2370 is not divisible by which of the following numbers?
Answer» Number 2370 is not divisible by which of the following numbers?

Discussion

39.	ABCD is a parallelogram in which ∠DCB and ∠ABC are in ratio 2:7. Find the sum of ∠ABD and ∠ADB.
Answer» ABCD is a parallelogram in which $∠ D C B$ and $∠ A B C$ are in ratio 2:7. Find the sum of $∠ A B D$ and $∠ A D B$ .

39.

ABCD is a parallelogram in which ∠DCB and ∠ABC are in ratio 2:7. Find the sum of ∠ABD and ∠ADB.

Answer»

ABCD is a parallelogram in which $∠ D C B$ and $∠ A B C$ are in ratio 2:7. Find the sum of $∠ A B D$ and $∠ A D B$ .

Discussion

40.	The value of x for which 64 = x3 is ______ .
Answer» The value of x for which 64 = x³ is ______ .

Discussion

41.	I bought a painting for ₹500 and paid ₹70 for transportation. Calculate the profit percentage if I sell the painting for ₹760.
Answer» I bought a painting for ₹500 and paid ₹70 for transportation. Calculate the profit percentage if I sell the painting for ₹760.

Discussion

42.	Question 89 How many cubic meters of Earth must be dug to construct a well 7 m deep and of diameter 2.8 m?
Answer» Question 89 How many cubic meters of Earth must be dug to construct a well 7 m deep and of diameter 2.8 m?

42.

Question 89 How many cubic meters of Earth must be dug to construct a well 7 m deep and of diameter 2.8 m?

Answer»

Question 89

How many cubic meters of Earth must be dug to construct a well 7 m deep and of diameter 2.8 m?

Discussion

43.	If m≠n and (m+n)−1 × (m−1 + n−1) = mxny, then x+y is equal to
Answer» If $m \neq n$ and $(m + n)^{- 1} \times (m^{- 1} + n^{- 1}) = m^{x} n^{y}$ , then $x + y$ is equal to

Discussion

44.	The area of rhombus one side of which measures 20 cm and one diagonal 24 cm is
Answer» The area of rhombus one side of which measures 20 cm and one diagonal 24 cm is

Discussion

45.	The C.P. of 16 articles is equal to the S.P. of 12 articles. Find the gain or loss percent on 1 article.
Answer» The C.P. of 16 articles is equal to the S.P. of 12 articles. Find the gain or loss percent on 1 article.

Discussion

46.	Fill in the Blanks Question 21 The Y-coordinate of the point (2,4) is ___.
Answer» Fill in the Blanks Question 21 The Y-coordinate of the point (2,4) is ___.

Discussion

47.	x2+18x+77 = .
Answer» $x^{2} + 18 x + 77$ = .

Discussion

48.	{(5z−2)2+40z}(5z+2)=
Answer» $\frac{{{(5 z - 2)}^{2} + 40 z}}{(5 z + 2)} =$

Discussion

49.	In a factory 70% of the workers like oranges and 64% likes apples. If each worker likes, at least one fruit, then what percentage of workers like both the fruit? ___
Answer» In a factory 70% of the workers like oranges and 64% likes apples. If each worker likes, at least one fruit, then what percentage of workers like both the fruit? ___

Discussion

50.	Factorise: x2+6x+9−x−3
Answer» $Factorise: x^{2} + 6 x + 9 - x - 3$

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

A field in the form of a rhombus has each side of length 64 m and altitude 16 m.What is the side of a square field which has the same area as that of a rhombus ?

Factorise: 3z2−10z+8

Let F1 be the set of all parallelograms, F2 the set of rectangles, F3 the set of rhombuses, F4 the set of squares and F5 the set of trapeziums in a plane, then F1 is equal to

X=6√(91125216)2,thenX=

A rectangular water tank is 90 cm wide and 40 cm deep. If it can contain 576 litres of water, what is its length?

(ax+by)2+(bx−ay)2 factorise it

a man has 8 children to take them zoo. he takes three of them at a time to the zoo as often as he can without taking the same 3 children together more than once. how many times will he have to go to the zoo? how many times a particular child will go to the zoo

When a lateral cylinder is cut, we get a rectangle. Why is the formula for curved surface area of cylinder is not l*b ?

a=3+b , then a​​​​​​3 - b​​​​​​3​​​​​-9ab is

How to do factorisation? Easy method to do factorisation? ,

Question 4(ii) Shade 23 of the triangles in box

Find the smallest natural number by which 1200 should be multiplied so that the square root of the product is a rational number

Fabina borrows ₹12,500 at 12% per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at 10% per annum, compounded annually. Who pays more interest and by how much?

The intercept on the line y = x by the circle x2+y2−2x=0 is AB. The equation of the circle on AB as a diameter is

The lowest form of (a + b)ab − 2(a + b) if ab=1.

The area of an equilateral triangle is 49√3 cm2. Taking each angular point as centre, a circle is described with radius equal to half the length of the side of the triangle. Find the area of the triangle not included in the circle. [ 4 MARKS ]

Find square root for 41

Factorise: 4a2−(4b2+4bc+c2)

Middle term break

The difference between the compound interest and the simple interest accrued on an amount of Rs. 18,000 in 2 years was Rs.405. What was the rate of interest compounded annually?

If a quadrilateral with 4 sides and a diagonal is given, which of the following conditions is used in the construction?

Mr. Britto deposits a certain sum of money each month in a Recurring Deposit Account of a bank. If the rate of interest is 8% per annum and Mr. Britto gets Rs 8088 from the bank after 3 years, find the value of his monthly instalment. [4 MARKS]

Multiplicative inverse of -3 upon 7 in bracket raise to -9

Sum of 3 consecutive multiples of 5 is 345. Find the ratio of the highest multiple and the lowest multiple.

Question 100 Write two Pythagorean triplets, each having one of the numbers as 5.

Question 3 The following observations have been arranged in a scending order. If the median of the data is 63, find the value of x. 29,32,48,50, x, x +2, 72, 78,84, 95

If in a parallelogram, the diagonals bisect each other at right angles, then the parallelogram is a ___.

7×100 +1×10 +8= ?

Eight times the sum of the areas of two circular faces of a cylinder is equal to the four times the curved surface area of the cylinder. It is given that the diameter of the cylinder is 4n, where n is an integer and height of the cylinder is 8 cm. Find the value of n. ___

Given circle has a circumference of 70 metres. Find its area. [2 MARKS]

If a+b=7 and ab=6 , find a2−b2

A retailer buys an article from the wholesaler at ₹80 and the wholesaler charges a sales tax at the prescribed rate of 8% upon it. The retailer fixes the price at ₹100 and charges sales tax at the same rate from the customers. Find the total Sales tax paid in the process.

The area λ enclosed by two concentric circles of radius 5 cm and 12 cm is ___ cm2

The sides of a triangle are in the ratio 1:2:2 and its perimeter is 500 m. Then, area of the triangle is:

The following pie chart gives the marks obtained by a student in different subjects – English, Hindi, Mathematics, Science and Social Science in an examination. Assuming that the total marks obtained for the examination are 540. The marks scored in Social Science is more than ____.

The median of following data is: 4, 5, 3, 3, 4, 3, 1

Number 2370 is not divisible by which of the following numbers?

ABCD is a parallelogram in which ∠DCB and ∠ABC are in ratio 2:7. Find the sum of ∠ABD and ∠ADB.

The value of x for which 64 = x3 is ______ .

I bought a painting for ₹500 and paid ₹70 for transportation. Calculate the profit percentage if I sell the painting for ₹760.

Question 89 How many cubic meters of Earth must be dug to construct a well 7 m deep and of diameter 2.8 m?

If m≠n and (m+n)−1 × (m−1 + n−1) = mxny, then x+y is equal to

The area of rhombus one side of which measures 20 cm and one diagonal 24 cm is

The C.P. of 16 articles is equal to the S.P. of 12 articles. Find the gain or loss percent on 1 article.

Fill in the Blanks Question 21 The Y-coordinate of the point (2,4) is ___.

x2+18x+77 = .

{(5z−2)2+40z}(5z+2)=

In a factory 70% of the workers like oranges and 64% likes apples. If each worker likes, at least one fruit, then what percentage of workers like both the fruit? ___

Factorise: x2+6x+9−x−3

a=3+b , then a3 - b3-9ab is