25365 + Interview Questions in Mathematics

1.	Find the perimeter of a square whose area is 1.69 m2.
Answer» Find the perimeter of a square whose area is 1.69 $m^{2}$ .

Discussion

2.	The price of petrol goes up by 10%. By how much per cent must a motorist reduce the consumption of petrol so that the expenditure on it remains unchanged ?
Answer» The price of petrol goes up by 10 $%$ . By how much per cent must a motorist reduce the consumption of petrol so that the expenditure on it remains unchanged ?

Discussion

3.	Find area of the triangle if the sides of the triangle are in the ratio 12:17:25 and the perimeter is 270 m.2250
Answer» Find area of the triangle if the sides of the triangle are in the ratio 12:17:25 and the perimeter is 270 m. 2250

Discussion

4.	Find the value of x, if line AB is perpendicular to a line having slope of −13.
Answer» Find the value of $x$ , if line AB is perpendicular to a line having slope of $- \frac{1}{3} .$

Discussion

5.	Draw a line segment PQ = 4.8 cm. Construct the perpendicular bisector of PQ.
Answer» Draw a line segment PQ = 4.8 cm. Construct the perpendicular bisector of PQ.

5.

Draw a line segment PQ = 4.8 cm. Construct the perpendicular bisector of PQ.

Answer»

Draw a line segment PQ = 4.8 cm.

Construct the perpendicular bisector of PQ.

Discussion

6.	(a+b)(a−b) = _________________ .
Answer» $(a + b) (a - b)$ = _________________ .

Discussion

7.	In an experiment,the readings for the time period of a simple pendulum are 2.63s,2.56s,2.42s,2.71s and 2.80s.Calculate the relative error and the percentage error?
Answer» In an experiment,the readings for the time period of a simple pendulum are 2.63s,2.56s,2.42s,2.71s and 2.80s.Calculate the relative error and the percentage error?

Discussion

8.	Simplify: (2x - 3)(5x + 2) + (3x - 7)(4x - 1)
Answer» Simplify: (2x - 3)(5x + 2) + (3x - 7)(4x - 1)

8.

Simplify: (2x - 3)(5x + 2) + (3x - 7)(4x - 1)

Answer»

Simplify:

(2x - 3)(5x + 2) + (3x - 7)(4x - 1)

Discussion

9.	Question 13Write the correct answer from the given four options.Which of the following numbers is a perfect cube?a) 243b) 216c) 392d) 8640
Answer» Question 13 Write the correct answer from the given four options. Which of the following numbers is a perfect cube? a) 243 b) 216 c) 392 d) 8640

9.

Question 13Write the correct answer from the given four options.Which of the following numbers is a perfect cube?a) 243b) 216c) 392d) 8640

Answer»

Question 13

Write the correct answer from the given four options.

Which of the following numbers is a perfect cube?

a) 243

b) 216

c) 392

d) 8640

Discussion

10.	If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours.
Answer» If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours.

Discussion

11.	Question 64The variable x varies directly as y and x = 80 when y is 160. What is y when x is 64?
Answer» Question 64 The variable x varies directly as y and x = 80 when y is 160. What is y when x is 64?

11.

Question 64The variable x varies directly as y and x = 80 when y is 160. What is y when x is 64?

Answer»

Question 64

The variable x varies directly as y and x = 80 when y is 160. What is y when x is 64?

Discussion

12.	What are the possible values digits A and B can take for ⎛⎜⎜⎝1A−BB⎞⎟⎟⎠ to hold true.
Answer» What are the possible values digits A and B can take for $⎛ ⎜⎜ ⎝ \begin{matrix} 1 A - B B \end{matrix} ⎞ ⎟⎟ ⎠$ to hold true.

Discussion

13.	Prove that for any positive integer is of form n, n^3 -n is divisible by 6.
Answer» Prove that for any positive integer is of form n, n^3 -n is divisible by 6.

Discussion

14.	The diagnals of a rhombus pass through the centre of a radius 8cm.The area of the rhombus is
Answer» The diagnals of a rhombus pass through the centre of a radius 8cm.The area of the rhombus is

Discussion

15.	The circumference of a circular table is 88 m. Find its area.
Answer» The circumference of a circular table is 88 m. Find its area.

Discussion

16.	If x & y are in Direct proportion then find proportionality constant at x = 4, y = 16
Answer» If x & y are in Direct proportion then find proportionality constant at x = 4, y = 16

Discussion

17.	The adjacent angles in a parallelogram are ______ .
Answer» The adjacent angles in a parallelogram are ______ .

Discussion

18.	If 1+i22-i=x+iy, find x + y.
Answer» If $\frac{{(1 + i)}^{2}}{2 - i} = x + i y$ , find x + y.

Discussion

19.	Find A in the addition, given that B is a natural number. A+A+AB A
Answer» Find A in the addition, given that B is a natural number. $\begin{matrix} A + A + A B A \end{matrix}$

Discussion

20.	An equation is a mathematical statement that shows that two ___ are equal.
Answer» An equation is a mathematical statement that shows that two ___ are equal.

Discussion

21.	Quesion 3(ii)For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph.How high was Plant B after (i) 2 weeks (ii) 3 weeks?
Answer» Quesion 3(ii) For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph. How high was Plant B after (i) 2 weeks (ii) 3 weeks?

Discussion

22.	Insert three rational numbers between (i) 3 and 4 (ii) 10 and 12
Answer» Insert three rational numbers between (i) 3 and 4 (ii) 10 and 12

22.

Insert three rational numbers between (i) 3 and 4 (ii) 10 and 12

Answer»

Insert three rational numbers between

(i) 3 and 4

(ii) 10 and 12

Discussion

23.	In the given figure, ABCDE is a pentagon with AC = 5 cm. A line through B, parallel to AC, meets DC produced at F. If the altitude of triangle ABC (perpendicular to AC) is 6 cm, find the area of triangle ACF.
Answer» In the given figure, ABCDE is a pentagon with AC = 5 cm. A line through B, parallel to AC, meets DC produced at F. If the altitude of triangle ABC (perpendicular to AC) is 6 cm, find the area of triangle ACF.

Discussion

24.	Find the amount to be paid at the end of 3 years of the sum of Rs 1,200 at the rate of 12% p.a. [4 MARKS]
Answer» Find the amount to be paid at the end of 3 years of the sum of Rs 1,200 at the rate of $12 %$ p.a. [4 MARKS]

Discussion

25.	Are natural numbers rational numbers
Answer» Are natural numbers rational numbers

Discussion

26.	Evaluate the following:(-67)^3+(35)^3+(32)^3
Answer» Evaluate the following: (-67)^3+(35)^3+(32)^3

Discussion

27.	In a triangle ABC, let D be the mid-point of BC. Prove that AB + AC > 2AD. (What property of quadrilateral is needed here?)
Answer» In a triangle ABC, let D be the mid-point of BC. Prove that AB + AC > 2AD. (What property of quadrilateral is needed here?)

27.

In a triangle ABC, let D be the mid-point of BC. Prove that AB + AC > 2AD. (What property of quadrilateral is needed here?)

Answer»

In a triangle ABC, let D be the mid-point of BC. Prove that AB + AC > 2AD. (What property of quadrilateral is needed here?)

Discussion

28.	Which of the given options can best replace the ‘?’ in the given figure?
Answer» Which of the given options can best replace the ‘?’ in the given figure?

Discussion

29.	Which of the following triangles is similar to the triangle shown below?
Answer» Which of the following triangles is similar to the triangle shown below?

Discussion

30.	Which of the following give -12 as the product?
Answer» Which of the following give -12 as the product?

Discussion

31.	Question 83 (vi) Multiply the following : abc, (bc + ca)
Answer» Question 83 (vi) Multiply the following : abc, (bc + ca)

31.

Question 83 (vi) Multiply the following : abc, (bc + ca)

Answer»

Question 83 (vi)

Multiply the following :

abc, (bc + ca)

Discussion

32.	3670000 in standard form is (a)367×104 (b)36.7×105 (c)3.67×106 (d)None of these
Answer» 3670000 in standard form is $(a) 367 \times 10^{4}$ $(b) 36.7 \times 10^{5}$ $(c) 3.67 \times 10^{6}$ (d)None of these

32.

3670000 in standard form is (a)367×104 (b)36.7×105 (c)3.67×106 (d)None of these

Answer»

3670000 in standard form is

$(a) 367 \times 10^{4}$

$(b) 36.7 \times 10^{5}$

$(c) 3.67 \times 10^{6}$

(d)None of these

Discussion

33.	Guess the 3rd term of an arithmetic sequence whose first term is 92. The difference between two consecutive terms is 8.
Answer» Guess the $3^{r d}$ term of an arithmetic sequence whose first term is $92.$ The difference between two consecutive terms is $8.$

Discussion

34.

Ina Television game show, the prize money of Rs 1,00,000 is to bedivided equally amongst the winners. Complete the following table andfind whether the prize money given to an individual winner isdirectly or inversely proportional to the number of winners? Number of winners 1 2 4 5 8 10 20 Prize for each winner (in Rs) 100000 50000 … … … … …

Answer»

In
a Television game show, the prize money of Rs 1,00,000 is to be
divided equally amongst the winners. Complete the following table and
find whether the prize money given to an individual winner is
directly or inversely proportional to the number of winners?

Number of winners	1	2	4	5	8	10	20
Prize for each winner (in Rs)	100000	50000	…	…	…	…	…

Discussion

35.	38. Let f(x) be cubic polynomial such that f(1)=1 f(2)=2 f(3)=3 and f(4)=16 Find the value of f(5)
Answer» 38. Let f(x) be cubic polynomial such that f(1)=1 f(2)=2 f(3)=3 and f(4)=16 Find the value of f(5)

Discussion

36.	1750 as a percentage is ____.
Answer» $\frac{17}{50}$ as a percentage is ____.

36.

1750 as a percentage is ____.

Answer»

$\frac{17}{50}$ as a percentage is ____.

Discussion

37.	25a2−4 can be factorized as:
Answer» $25 a^{2} - 4$ can be factorized as:

Discussion

38.	49 X=4-15 find value of x+1/x
Answer» 49 X=4-15 find value of x+1/x

Discussion

39.	The sides of the rectangle are in the ratio 2:1. The perimeter is 30 cm. calculate the measure of all the sides.
Answer» The sides of the rectangle are in the ratio 2:1. The perimeter is 30 cm. calculate the measure of all the sides.

Discussion

40.	For the given figure, find the angle ∠XWU.
Answer» For the given figure, find the angle $∠ X W U .$

Discussion

41.	Among the numbers 12,23,34 and 56, the greatest number is
Answer» Among the numbers $\frac{1}{2}$ , $\frac{2}{3}$ , $\frac{3}{4}$ and $\frac{5}{6}$ , the greatest number is

Discussion

42.	Find the cube root of the given number by prime factorization method:175616
Answer» Find the cube root of the given number by prime factorization method: 175616

Discussion

43.	The difference between simple interest and compound interest on a sum for 2 years at 8% per annum is Rs. 160. If the interests were compounded half yearly, the difference in interests in two years will be nearly
Answer» The difference between simple interest and compound interest on a sum for 2 years at $8 %$ per annum is Rs. 160. If the interests were compounded half yearly, the difference in interests in two years will be nearly

Discussion

44.	Factorize: −12pq2r+8pr2+28pq2r
Answer» Factorize: $- 12 p q^{2} r + 8 p r^{2} + 28 p q^{2} r$

Discussion

45.	Factorise : 15x+5
Answer» Factorise : $15 x + 5$

45.

Factorise : 15x+5

Answer»

Factorise :

$15 x + 5$

Discussion

46.	Question 1 List the outcomes you can see in these experiments. (a) Spinning a wheel (b) Tossing two coins together
Answer» Question 1 List the outcomes you can see in these experiments. (a) Spinning a wheel (b) Tossing two coins together

Discussion

47.	Bilal has decided to buy a car. He has to choose between a diesel car and a petrol car. The diesel car costs Dhs12000 more than the petrol car. However, it can travel 13 kilometres per litre, whereas the petrol car can only travel 10 kilometres per litre. Also, diesel costs Dhs41.60 per litre, and petrol costs Dhs52.00 per litre. If he buys a diesel car, how far must he drive before the savings in fuel covers the extra price of the diesel car?
Answer» Bilal has decided to buy a car. He has to choose between a diesel car and a petrol car. The diesel car costs Dhs12000 more than the petrol car. However, it can travel 13 kilometres per litre, whereas the petrol car can only travel 10 kilometres per litre. Also, diesel costs Dhs41.60 per litre, and petrol costs Dhs52.00 per litre. If he buys a diesel car, how far must he drive before the savings in fuel covers the extra price of the diesel car?

Discussion

48.	Question 1(v)Identify the terms, their coefficients for the following expressions: x2+y2−xy
Answer» Question 1(v) Identify the terms, their coefficients for the following expressions: $\frac{x}{2} + \frac{y}{2} - x y$

Discussion

49.	Domain of square root[(x-7)/(x+5)] is
Answer» Domain of square root[(x-7)/(x+5)] is

Discussion

50.	Find the largest number of Pythagorean triples whose smallest two numbers are 6 and 8.
Answer» Find the largest number of Pythagorean triples whose smallest two numbers are 6 and 8.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Find the perimeter of a square whose area is 1.69 m2.

The price of petrol goes up by 10%. By how much per cent must a motorist reduce the consumption of petrol so that the expenditure on it remains unchanged ?

Find area of the triangle if the sides of the triangle are in the ratio 12:17:25 and the perimeter is 270 m.2250

Find the value of x, if line AB is perpendicular to a line having slope of −13.

Draw a line segment PQ = 4.8 cm. Construct the perpendicular bisector of PQ.

(a+b)(a−b) = _________________ .

In an experiment,the readings for the time period of a simple pendulum are 2.63s,2.56s,2.42s,2.71s and 2.80s.Calculate the relative error and the percentage error?

Simplify: (2x - 3)(5x + 2) + (3x - 7)(4x - 1)

Question 13Write the correct answer from the given four options.Which of the following numbers is a perfect cube?a) 243b) 216c) 392d) 8640

If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours.

Question 64The variable x varies directly as y and x = 80 when y is 160. What is y when x is 64?

What are the possible values digits A and B can take for ⎛⎜⎜⎝1A−BB⎞⎟⎟⎠ to hold true.

Prove that for any positive integer is of form n, n^3 -n is divisible by 6.

The diagnals of a rhombus pass through the centre of a radius 8cm.The area of the rhombus is

The circumference of a circular table is 88 m. Find its area.

If x & y are in Direct proportion then find proportionality constant at x = 4, y = 16

The adjacent angles in a parallelogram are ______ .

If 1+i22-i=x+iy, find x + y.

Find A in the addition, given that B is a natural number. A+A+AB A

An equation is a mathematical statement that shows that two ___ are equal.

Quesion 3(ii)For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph.How high was Plant B after (i) 2 weeks (ii) 3 weeks?

Insert three rational numbers between (i) 3 and 4 (ii) 10 and 12

In the given figure, ABCDE is a pentagon with AC = 5 cm. A line through B, parallel to AC, meets DC produced at F. If the altitude of triangle ABC (perpendicular to AC) is 6 cm, find the area of triangle ACF.

Find the amount to be paid at the end of 3 years of the sum of Rs 1,200 at the rate of 12% p.a. [4 MARKS]

Are natural numbers rational numbers

Evaluate the following:(-67)^3+(35)^3+(32)^3

In a triangle ABC, let D be the mid-point of BC. Prove that AB + AC &gt; 2AD. (What property of quadrilateral is needed here?)

Which of the given options can best replace the ‘?’ in the given figure?

Which of the following triangles is similar to the triangle shown below?

Which of the following give -12 as the product?

Question 83 (vi) Multiply the following : abc, (bc + ca)

3670000 in standard form is (a)367×104 (b)36.7×105 (c)3.67×106 (d)None of these

Guess the 3rd term of an arithmetic sequence whose first term is 92. The difference between two consecutive terms is 8.

38. Let f(x) be cubic polynomial such that f(1)=1 f(2)=2 f(3)=3 and f(4)=16 Find the value of f(5)

1750 as a percentage is ____.

25a2−4 can be factorized as:

49 X=4-15 find value of x+1/x

The sides of the rectangle are in the ratio 2:1. The perimeter is 30 cm. calculate the measure of all the sides.

For the given figure, find the angle ∠XWU.

Among the numbers 12,23,34 and 56, the greatest number is

Find the cube root of the given number by prime factorization method:175616

The difference between simple interest and compound interest on a sum for 2 years at 8% per annum is Rs. 160. If the interests were compounded half yearly, the difference in interests in two years will be nearly

Factorize: −12pq2r+8pr2+28pq2r

Factorise : 15x+5

Question 1 List the outcomes you can see in these experiments. (a) Spinning a wheel (b) Tossing two coins together

Question 1(v)Identify the terms, their coefficients for the following expressions: x2+y2−xy

Domain of square root[(x-7)/(x+5)] is

Find the largest number of Pythagorean triples whose smallest two numbers are 6 and 8.

In a triangle ABC, let D be the mid-point of BC. Prove that AB + AC > 2AD. (What property of quadrilateral is needed here?)