25365 + Interview Questions in Mathematics

1.	How many numbers lie between squares of 25 and 26?
Answer» How many numbers lie between squares of 25 and 26?

Discussion

2.	The final price after applying a 10% discount on a product is x. Find the marked price of the product in terms of x.
Answer» The final price after applying a 10% discount on a product is $x$ . Find the marked price of the product in terms of $x$ .

Discussion

3.	Two opposite vertices of a square are (2,6) and (0,-2),then the coordinates of the vertices are
Answer» Two opposite vertices of a square are (2,6) and (0,-2),then the coordinates of the vertices are

Discussion

4.	Find the remainder when 30y4+11y3−42y2+3 is divided by 3y2+2y?
Answer» Find the remainder when $30 y^{4} + 11 y^{3} - 42 y^{2} + 3$ is divided by $3 y^{2} + 2 y$ ?

Discussion

5.	Find the solution for the following pair of equations2x+y=2x+2y=5
Answer» Find the solution for the following pair of equations $2 x + y = 2$ $x + 2 y = 5$

Discussion

6.	Question 116(ii) Following is a pie chart showing the amount spent (in Rs thousands) by a company on various modes of advertising for a product. Now, answer the following questions Which type of media advertising is least amount of the total ?
Answer» Question 116(ii) Following is a pie chart showing the amount spent (in Rs thousands) by a company on various modes of advertising for a product. Now, answer the following questions Which type of media advertising is least amount of the total ?

6.

Question 116(ii) Following is a pie chart showing the amount spent (in Rs thousands) by a company on various modes of advertising for a product. Now, answer the following questions Which type of media advertising is least amount of the total ?

Answer»

Question 116(ii)

Following is a pie chart showing the amount spent (in Rs thousands) by a company on various modes of advertising for a product.
Now, answer the following questions
Which type of media advertising is least amount of the total ?

Discussion

7.	14.5 centimetres, 18 centimetres
Answer» 14.5 centimetres, 18 centimetres

7.

14.5 centimetres, 18 centimetres

Answer»

14.5 centimetres, 18 centimetres

Discussion

8.	Choose the correct answer from the given alternative:In right angled triangle, ∠A is right angle and ∠B = 35°, then ∠C is ___________.A. 65°B. 55°C. 75°D. 45°
Answer» Choose the correct answer from the given alternative: In right angled triangle, ∠A is right angle and ∠B = 35°, then ∠C is ___________. A. 65° B. 55° C. 75° D. 45°

8.

Choose the correct answer from the given alternative:In right angled triangle, ∠A is right angle and ∠B = 35°, then ∠C is ___________.A. 65°B. 55°C. 75°D. 45°

Answer»

Choose the correct answer from the given alternative:

In right angled triangle, ∠A is right angle and ∠B = 35°, then ∠C is ___________.

A. 65°

B. 55°

C. 75°

D. 45°

Discussion

9.	Simplify: 3x2yz4 × 2xy3z2
Answer» Simplify: 3x²yz⁴ × 2xy³z²

9.

Simplify: 3x2yz4 × 2xy3z2

Answer»

Simplify:

3x²yz⁴ × 2xy³z²

Discussion

10.	If all three sides of a triangle are 4 cm long, it is a/an ________.
Answer» If all three sides of a triangle are 4 cm long, it is a/an ________.

Discussion

11.	The area of a rectangle is 102 sqcm. If its length is 17 cm, what is its perimeter ?
Answer» The area of a rectangle is 102 sqcm. If its length is 17 cm, what is its perimeter ?

Discussion

12.	Find the angle measure x in the following figure:
Answer» Find the angle measure x in the following figure:

Discussion

13.	In the above figure O is the center of the circle and ∠AOB = 80∘, then complete the matching. AngleValue1.ACBa.9002.ADBb. 4003.ABCc.8004.AOCd.1800
Answer» In the above figure O is the center of the circle and $∠$ AOB = $80^{\circ}$ , then complete the matching. $\begin{matrix} Angle & Value 1.ACB & a. 90^{0} 2.ADB & b. 40^{0} 3.ABC & c. 80^{0} 4.AOC & d. 180^{0} \end{matrix}$

13.

In the above figure O is the center of the circle and ∠AOB = 80∘, then complete the matching. AngleValue1.ACBa.9002.ADBb. 4003.ABCc.8004.AOCd.1800

Answer»

In the above figure O is the center of the circle and $∠$ AOB = $80^{\circ}$ , then complete the matching.

$\begin{matrix} Angle & Value 1.ACB & a. 90^{0} 2.ADB & b. 40^{0} 3.ABC & c. 80^{0} 4.AOC & d. 180^{0} \end{matrix}$

Discussion

14.	A man purchases two pens for Rs. 740. He sells one at 12% profit and the other at 8% loss. Then he neither gains nor loses. Find the cost price (in Rs.) of each pen.
Answer» A man purchases two pens for Rs. $740.$ He sells one at $12 %$ profit and the other at $8 %$ loss. Then he neither gains nor loses. Find the cost price (in Rs.) of each pen.

Discussion

15.	A factory requires 42 machines to produce a given number of articles in 63 days. How many machines would be required to produce the same number of articles in 54 days?
Answer» A factory requires 42 machines to produce a given number of articles in 63 days. How many machines would be required to produce the same number of articles in 54 days?

Discussion

16.	In ∆LMN, l(LM) = 6.2 cm, m∠LMN = 60°, l(MN) = 4 cm. Construct ∆LMN.
Answer» In ∆LMN, l(LM) = 6.2 cm, m $∠$ LMN = 60^°, l(MN) = 4 cm. Construct ∆LMN.

Discussion

17.	In a school, all students play either football or cricket or both. If 250 play football, 300 play cricket and 120 play both the games, then the total number of students in the school is ____.
Answer» In a school, all students play either football or cricket or both. If 250 play football, 300 play cricket and 120 play both the games, then the total number of students in the school is ____.

Discussion

18.	One litre of petrol costs ₹ 6334 . What is the cost of 34 litres of petrol?
Answer» One litre of petrol costs ₹ $63 \frac{3}{4}$ . What is the cost of 34 litres of petrol?

Discussion

19.	Factorise 4a2-8abc
Answer» Factorise 4a²-8abc

Discussion

20.	The following data shows monthly savings of 100 families . Calculate the mode of the given frequency distribution. Monthly savings(Rs) Number of families 1000−2000142000−3000153000−4000214000−5000275000−600025
Answer» The following data shows monthly savings of 100 families . Calculate the mode of the given frequency distribution. $\begin{matrix} M o n t h l y s a v i n g s (R s) & N u m b e r o f f a m i l i e s 1000 - 2000 & 14 2000 - 3000 & 15 3000 - 4000 & 21 4000 - 5000 & 27 5000 - 6000 & 25 \end{matrix}$

20.

The following data shows monthly savings of 100 families . Calculate the mode of the given frequency distribution. Monthly savings(Rs) Number of families 1000−2000142000−3000153000−4000214000−5000275000−600025

Answer»

The following data shows monthly savings of 100 families . Calculate the mode of the given frequency distribution.

$\begin{matrix} M o n t h l y s a v i n g s (R s) & N u m b e r o f f a m i l i e s 1000 - 2000 & 14 2000 - 3000 & 15 3000 - 4000 & 21 4000 - 5000 & 27 5000 - 6000 & 25 \end{matrix}$

Discussion

21.	Vani did a survey of the numbers of brothers and sisters for each of the children in her class with the following results:0, 1, 5, 3, 6, 4, 0, 0, 1, 2, 3, 1, 0, 1, 5, 4, 2, 1, 3, 3, 2, 1, 0, 1Make a frequency Distribution table and also tell the how many children have no brothers or sisters?
Answer» Vani did a survey of the numbers of brothers and sisters for each of the children in her class with the following results: 0, 1, 5, 3, 6, 4, 0, 0, 1, 2, 3, 1, 0, 1, 5, 4, 2, 1, 3, 3, 2, 1, 0, 1 Make a frequency Distribution table and also tell the how many children have no brothers or sisters?

Discussion

22.	Show the graph of y {-x} (where {} represents the fractional part function)
Answer» Show the graph of y {-x} (where {} represents the fractional part function)

Discussion

23.	What will be the unit digit of the cube of number 15625?
Answer» What will be the unit digit of the cube of number 15625?

Discussion

24.	Factorise the following, using the identity, a2+2ab+b2=(a+b)2: 9x2+2xy+y29
Answer» Factorise the following, using the identity, $a^{2} + 2 a b + b^{2} = (a + b)^{2}$ : $9 x^{2} + 2 x y + \frac{y^{2}}{9}$

Discussion

25.	Question 83There are countless rational numbers between 56 and 89.
Answer» Question 83 There are countless rational numbers between $\frac{5}{6}$ and $\frac{8}{9}$ .

Discussion

26.	Construct a triangle PQR in which PQ = 5.5 cm, PR = 6.2 cm and length of the perpendicular from P on QR is 4 cm.
Answer» Construct a triangle PQR in which PQ = 5.5 cm, PR = 6.2 cm and length of the perpendicular from P on QR is 4 cm.

Discussion

27.	Question 167Find three machines that can be replaced with hook-up of (× 5) , machines.
Answer» Question 167 Find three machines that can be replaced with hook-up of $(\times 5)$ , machines.

27.

Question 167Find three machines that can be replaced with hook-up of (× 5) , machines.

Answer»

Question 167

Find three machines that can be replaced with hook-up of $(\times 5)$ , machines.

Discussion

28.	Construct right angle triangle PQR in which ∠Q = 90°, QR = 4.5 cm and ∠R = 50°.
Answer» Construct right angle triangle PQR in which ∠Q = 90°, QR = 4.5 cm and ∠R = 50°.

Discussion

29.	What do we understand by the term 'Ratios'?
Answer» What do we understand by the term 'Ratios'?

Discussion

30.	The square of 52 is equal to
Answer» The square of 52 is equal to

Discussion

31.	A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is:
Answer» A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is:

Discussion

32.	Find the square roots of the following numbers by the Prime Factorisation Method.(i) 729 (ii) 400 (iii) 1764 (iv) 4096 (v) 7744 (vi) 9604 (vii) 5929 (viii) 9216 (ix) 529 (x) 8100
Answer» Find the square roots of the following numbers by the Prime Factorisation Method. (i) $729$ (ii) $400$ (iii) $1764$ (iv) $4096$ (v) $7744$ (vi) $9604$ (vii) $5929$ (viii) $9216$ (ix) $529$ (x) $8100$

32.

Find the square roots of the following numbers by the Prime Factorisation Method.(i) 729 (ii) 400 (iii) 1764 (iv) 4096 (v) 7744 (vi) 9604 (vii) 5929 (viii) 9216 (ix) 529 (x) 8100

Answer»

Find the square roots of the following numbers by the Prime Factorisation Method.

(i) $729$ (ii) $400$ (iii) $1764$ (iv) $4096$ (v) $7744$ (vi) $9604$ (vii) $5929$ (viii) $9216$ (ix) $529$ (x) $8100$

Discussion

33.	The number of sides of a regular polygon whose exterior and interior angles are in the ratio 1 : 5 is ___
Answer» The number of sides of a regular polygon whose exterior and interior angles are in the ratio 1 : 5 is ___

Discussion

34.	The number of students in a hostel, speaking different languages is given below. Display the data in a pie chart. [4 MARKS] LanguageNo. of StudentsHindi40English12Marathi9Tamil7Bengali4Total72
Answer» The number of students in a hostel, speaking different languages is given below. Display the data in a pie chart. [4 MARKS] $\begin{matrix} L a n g u a g e & N o . o f S t u d e n t s H i n d i & 40 E n g l i s h & 12 M a r a t h i & 9 T a m i l & 7 B e n g a l i & 4 T o t a l & 72 \end{matrix}$

Discussion

35.	108.The area of parallelogram formed by the lines 4y-3x-a=0,3y-4x+a=0,4y-3x-3a=0,3y-4x+2a=0 is ___?
Answer» 108.The area of parallelogram formed by the lines 4y-3x-a=0,3y-4x+a=0,4y-3x-3a=0,3y-4x+2a=0 is ___?

Discussion

36.	Point (0, –3) lies on the _________ direction of __________ axis.
Answer» Point (0, –3) lies on the _________ direction of __________ axis.

Discussion

37.	Construct an equilateral triangle of height 3.5 cm. (Optional)
Answer» Construct an equilateral triangle of height 3.5 cm. (Optional)

Discussion

38.	Group the following numbers which are divisible by 3, 4 and 5 296, 312, 145, 720, 48, 375, 600
Answer» Group the following numbers which are divisible by 3, 4 and 5 296, 312, 145, 720, 48, 375, 600

38.

Group the following numbers which are divisible by 3, 4 and 5 296, 312, 145, 720, 48, 375, 600

Answer»

Group the following numbers which are divisible by 3, 4 and 5

296, 312, 145, 720, 48, 375, 600

Discussion

39.	Question 42If AB + 7C = 102, Where B ≠ 0, C ≠ 0, then A + B + C = 14.
Answer» Question 42 If AB + 7C = 102, Where B $\neq$ 0, C $\neq$ 0, then A + B + C = 14.

39.

Question 42If AB + 7C = 102, Where B ≠ 0, C ≠ 0, then A + B + C = 14.

Answer»

Question 42

If AB + 7C = 102, Where B $\neq$ 0, C $\neq$ 0, then A + B + C = 14.

Discussion

40.	Choose the correct option: Give two points in a plane, the number of lines which can be drawn to pass through these two points is _________ A. zero B. exactly one C. at most one D. more than one
Answer» Choose the correct option: Give two points in a plane, the number of lines which can be drawn to pass through these two points is _________ A. zero B. exactly one C. at most one D. more than one

40.

Choose the correct option: Give two points in a plane, the number of lines which can be drawn to pass through these two points is _________ A. zero B. exactly one C. at most one D. more than one

Answer»

Choose the correct option:

Give two points in a plane, the number of lines which can be drawn to pass through these two points is _________

A. zero

B. exactly one

C. at most one

D. more than one

Discussion

41.	Select the expression that gives the same result as the following:8 × (2m) ÷ 2
Answer» Select the expression that gives the same result as the following: $8 \times (2 m) \div 2$

Discussion

42.	What is a histogram?
Answer» What is a histogram?

Discussion

43.	The following geometrical shapes are made up of paper. ___ requires least paper and ___ requires maximum paper.
Answer» The following geometrical shapes are made up of paper. ___ requires least paper and ___ requires maximum paper.

43.

The following geometrical shapes are made up of paper. _ requires least paper and _ requires maximum paper.

Answer»

The following geometrical shapes are made up of paper.
___ requires least paper and ___ requires maximum paper.

Discussion

44.	if the divisors of n=3^p.5^q.7^r are of the form 4k+1,k≥0. then (A) p+r is always even (B) p+q+r is always odd (C) q can be any integer (D) if p is odd then r is eve
Answer» if the divisors of n=3^p.5^q.7^r are of the form 4k+1,k≥0. then (A) p+r is always even (B) p+q+r is always odd (C) q can be any integer (D) if p is odd then r is eve

Discussion

45.	Find the area of a square having its side (3x + 2y) using the formula.
Answer» Find the area of a square having its side (3x + 2y) using the formula.

Discussion

46.	Find the value of ‘x’, when 3x=√39.
Answer» Find the value of ‘x’, when $3^{x} = \frac{\sqrt{3}}{9}$ .

Discussion

47.	Question 87The rational number −8−3 lies neither to the right nor to the left of zero on the number line.
Answer» Question 87 The rational number $\frac{- 8}{- 3}$ lies neither to the right nor to the left of zero on the number line.

Discussion

48.	Find the number of distinct real numbers which satisfy the equation {(x^2 +4x- 2)}^2= {(5x -1)}^2.
Answer» Find the number of distinct real numbers which satisfy the equation {(x^2 +4x- 2)}^2= {(5x -1)}^2.

Discussion

49.	1315 members of the total staff work part-time in Steve's food truck, out of which 715 of them are male. What is the fraction of female members?
Answer» $\frac{13}{15}$ members of the total staff work part-time in Steve's food truck, out of which $\frac{7}{15}$ of them are male. What is the fraction of female members?

Discussion

50.	65 What is tert butyle and How to identify tert butyle and what is the rule to draw tert butyle?
Answer» 65 What is tert butyle and How to identify tert butyle and what is the rule to draw tert butyle?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

How many numbers lie between squares of 25 and 26?

The final price after applying a 10% discount on a product is x. Find the marked price of the product in terms of x.

Two opposite vertices of a square are (2,6) and (0,-2),then the coordinates of the vertices are

Find the remainder when 30y4+11y3−42y2+3 is divided by 3y2+2y?

Find the solution for the following pair of equations2x+y=2x+2y=5

Question 116(ii) Following is a pie chart showing the amount spent (in Rs thousands) by a company on various modes of advertising for a product. Now, answer the following questions Which type of media advertising is least amount of the total ?

14.5 centimetres, 18 centimetres

Choose the correct answer from the given alternative:In right angled triangle, ∠A is right angle and ∠B = 35°, then ∠C is ___________.A. 65°B. 55°C. 75°D. 45°

Simplify: 3x2yz4 × 2xy3z2

If all three sides of a triangle are 4 cm long, it is a/an ________.

The area of a rectangle is 102 sqcm. If its length is 17 cm, what is its perimeter ?

Find the angle measure x in the following figure:

In the above figure O is the center of the circle and ∠AOB = 80∘, then complete the matching. AngleValue1.ACBa.9002.ADBb. 4003.ABCc.8004.AOCd.1800

A man purchases two pens for Rs. 740. He sells one at 12% profit and the other at 8% loss. Then he neither gains nor loses. Find the cost price (in Rs.) of each pen.

A factory requires 42 machines to produce a given number of articles in 63 days. How many machines would be required to produce the same number of articles in 54 days?

In ∆LMN, l(LM) = 6.2 cm, m∠LMN = 60°, l(MN) = 4 cm. Construct ∆LMN.

In a school, all students play either football or cricket or both. If 250 play football, 300 play cricket and 120 play both the games, then the total number of students in the school is ____.

One litre of petrol costs ₹ 6334 . What is the cost of 34 litres of petrol?

Factorise 4a2-8abc

The following data shows monthly savings of 100 families . Calculate the mode of the given frequency distribution. Monthly savings(Rs) Number of families 1000−2000142000−3000153000−4000214000−5000275000−600025

Vani did a survey of the numbers of brothers and sisters for each of the children in her class with the following results:0, 1, 5, 3, 6, 4, 0, 0, 1, 2, 3, 1, 0, 1, 5, 4, 2, 1, 3, 3, 2, 1, 0, 1Make a frequency Distribution table and also tell the how many children have no brothers or sisters?

Show the graph of y {-x} (where {} represents the fractional part function)

What will be the unit digit of the cube of number 15625?

Factorise the following, using the identity, a2+2ab+b2=(a+b)2: 9x2+2xy+y29

Question 83There are countless rational numbers between 56 and 89.

Construct a triangle PQR in which PQ = 5.5 cm, PR = 6.2 cm and length of the perpendicular from P on QR is 4 cm.

Question 167Find three machines that can be replaced with hook-up of (× 5) , machines.

Construct right angle triangle PQR in which ∠Q = 90°, QR = 4.5 cm and ∠R = 50°.

What do we understand by the term 'Ratios'?

The square of 52 is equal to

A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is:

Find the square roots of the following numbers by the Prime Factorisation Method.(i) 729 (ii) 400 (iii) 1764 (iv) 4096 (v) 7744 (vi) 9604 (vii) 5929 (viii) 9216 (ix) 529 (x) 8100

The number of sides of a regular polygon whose exterior and interior angles are in the ratio 1 : 5 is ___

The number of students in a hostel, speaking different languages is given below. Display the data in a pie chart. [4 MARKS] LanguageNo. of StudentsHindi40English12Marathi9Tamil7Bengali4Total72

108.The area of parallelogram formed by the lines 4y-3x-a=0,3y-4x+a=0,4y-3x-3a=0,3y-4x+2a=0 is ___?

Point (0, –3) lies on the _________ direction of __________ axis.

Construct an equilateral triangle of height 3.5 cm. (Optional)

Group the following numbers which are divisible by 3, 4 and 5 296, 312, 145, 720, 48, 375, 600

Question 42If AB + 7C = 102, Where B ≠ 0, C ≠ 0, then A + B + C = 14.

Choose the correct option: Give two points in a plane, the number of lines which can be drawn to pass through these two points is _________ A. zero B. exactly one C. at most one D. more than one

Select the expression that gives the same result as the following:8 × (2m) ÷ 2

What is a histogram?

The following geometrical shapes are made up of paper. ___ requires least paper and ___ requires maximum paper.

if the divisors of n=3^p.5^q.7^r are of the form 4k+1,k≥0. then (A) p+r is always even (B) p+q+r is always odd (C) q can be any integer (D) if p is odd then r is eve

Find the area of a square having its side (3x + 2y) using the formula.

Find the value of ‘x’, when 3x=√39.

Question 87The rational number −8−3 lies neither to the right nor to the left of zero on the number line.

Find the number of distinct real numbers which satisfy the equation {(x^2 +4x- 2)}^2= {(5x -1)}^2.

1315 members of the total staff work part-time in Steve's food truck, out of which 715 of them are male. What is the fraction of female members?

65 What is tert butyle and How to identify tert butyle and what is the rule to draw tert butyle?

Point (0, –3) lies on the _ direction of __ axis.

The following geometrical shapes are made up of paper. _ requires least paper and _ requires maximum paper.