25365 + Interview Questions in Mathematics

1.	Find the cube root of the result obtained when you subtract x3 from 4097x3.
Answer» Find the cube root of the result obtained when you subtract $x^{3}$ from $4097 x^{3}$ .

Discussion

2.	If we start at (0,0) on a rectangular coordinate system and move 6 left and 2 down, where are we?
Answer» If we start at (0,0) on a rectangular coordinate system and move 6 left and 2 down, where are we?

Discussion

3.	48 If the value of cfse for Ni is x then find the cfse value for Pd
Answer» 48 If the value of cfse for Ni is x then find the cfse value for Pd

Discussion

4.	A line crosses the x−axis at (7,0). What is its x−intercept?7
Answer» A line crosses the $x -$ axis at (7,0). What is its $x -$ intercept? 7

Discussion

5.	Construct a right angle triangle whose perpendicular sides are 12 cm and 5 cm, using a ruler and a set square. Write its steps of construction. Also measure the length of the third side.
Answer» Construct a right angle triangle whose perpendicular sides are 12 cm and 5 cm, using a ruler and a set square. Write its steps of construction. Also measure the length of the third side.

Discussion

6.	Check whether 273432 is divisible by ‘6’ or not?
Answer» Check whether 273432 is divisible by ‘6’ or not?

Discussion

7.	The standard notation of 1650000 is given by .
Answer» The standard notation of 1650000 is given by .

Discussion

8.	Find compound interest on ₹ 10,000 at 15% per annum for 2 years 4 months, compounded annually.
Answer» Find compound interest on ₹ 10,000 at 15 $%$ per annum for 2 years 4 months, compounded annually.

Discussion

9.	Prove that there exists infinitely many perfect square numbers starting with the digits"2018"?
Answer» Prove that there exists infinitely many perfect square numbers starting with the digits"2018"?

Discussion

10.	X+6365(+55)x-559=? (x=36)
Answer» X+6365(+55)x-559=? (x=36)

Discussion

11.	Two numbers are in the ratio 10:4 and when 3 is added to both the numbers ratio becomes 3:1. Find the numbers.
Answer» Two numbers are in the ratio 10:4 and when 3 is added to both the numbers ratio becomes 3:1. Find the numbers.

Discussion

12.	Question 39Fill in the blanks to make the statements true.In the figure given below, each square is of unit length. The ratio of the perimeter of the boundary of the shaded portion to the perimeter of the whole figure is ___.
Answer» Question 39 Fill in the blanks to make the statements true. In the figure given below, each square is of unit length. The ratio of the perimeter of the boundary of the shaded portion to the perimeter of the whole figure is ___.

12.

Question 39Fill in the blanks to make the statements true.In the figure given below, each square is of unit length. The ratio of the perimeter of the boundary of the shaded portion to the perimeter of the whole figure is ___.

Answer»

Question 39

Fill in the blanks to make the statements true.

In the figure given below, each square is of unit length.

The ratio of the perimeter of the boundary of the shaded portion to the perimeter of the whole figure is ___.

Discussion

13.	Question 2Construct the rhombus whose diagonals are 5.2 cm and 6.4 cm.
Answer» Question 2 Construct the rhombus whose diagonals are 5.2 cm and 6.4 cm.

Discussion

14.	Use a suitable identity to get each of the following products:(6x−7)(6x+7)
Answer» Use a suitable identity to get each of the following products: $(6 x - 7) (6 x + 7)$

Discussion

15.	Write ∑_{r=0^mn+r_{C_r in the simplified form.
Answer» Write ∑_{r=0^mn+r_{C_r in the simplified form.

Discussion

16.	The mean of prime numbers between 20 and 30 is:
Answer» The mean of prime numbers between 20 and 30 is:

Discussion

17.	If (1, 4) is the midpoint of the line joining the points A(-5, 2) and B, then find the coordinates of B.
Answer» If (1, 4) is the midpoint of the line joining the points A(-5, 2) and B, then find the coordinates of B.

Discussion

18.	33. Number of quadrilaterals that can be formed using the vertices of a polygon of 10 side if exactly one side the quadrilateral is common with the side of 10 side polygon is ??
Answer» 33. Number of quadrilaterals that can be formed using the vertices of a polygon of 10 side if exactly one side the quadrilateral is common with the side of 10 side polygon is ??

Discussion

19.	A shopkeeper sells an article for Rs.21,384 including 10% tax. However, the actual rate of Tax is 8%. Find the extra profit made by the dealer.
Answer» A shopkeeper sells an article for Rs.21,384 including 10% tax. However, the actual rate of Tax is 8%. Find the extra profit made by the dealer.

Discussion

20.	Construct a parallalogram one of whose side is 5cm and whose diagonal are 5.8 cm and 6.4 cm
Answer» Construct a parallalogram one of whose side is 5cm and whose diagonal are 5.8 cm and 6.4 cm

Discussion

21.	Question 51 A man purchased a bicycle for Rs 1040 and sold it for Rs 800. His loss per cent is 30%.
Answer» Question 51 A man purchased a bicycle for Rs 1040 and sold it for Rs 800. His loss per cent is 30%.

21.

Question 51 A man purchased a bicycle for Rs 1040 and sold it for Rs 800. His loss per cent is 30%.

Answer»

Question 51

A man purchased a bicycle for Rs 1040 and sold it for Rs 800. His loss per cent is 30%.

Discussion

22.	If the number 4 is added with 2 then, multiplied by 5, what is the resulting number?
Answer» If the number 4 is added with 2 then, multiplied by 5, what is the resulting number?

Discussion

23.	Expand (2a−7)(2a−7)
Answer» Expand $(2 a - 7) (2 a - 7)$

Discussion

24.	Which among the following is an irrational number?
Answer» Which among the following is an irrational number?

Discussion

25.	If a=2,b=3,c=4, find the value of:(a) 3a−b+2c (b) a2−b2+c2 (c) ab−3abc−2ac (d) a2b+bc−3c3−2abc
Answer» If $a = 2, b = 3, c = 4$ , find the value of: (a) $3 a - b + 2 c$ (b) $a^{2} - b^{2} + c^{2}$ (c) $a b - 3 a b c - 2 a c$ (d) $a^{2} b + b c - 3 c^{3} - 2 a b c$

Discussion

26.	What is the need of introducing axioms?
Answer» What is the need of introducing axioms?

Discussion

27.	Question 63Fill in the blanks to make the statements true.A quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure is ___.
Answer» Question 63 Fill in the blanks to make the statements true. A quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure is ___.

Discussion

28.	Find the possible pairs of the opposite angles for a inscribed quadrilateral.
Answer» Find the possible pairs of the opposite angles for a inscribed quadrilateral.

Discussion

29.	Find x if 27x =9/3x
Answer» Find x if 27^x=9/3^x

Discussion

30.	Question 73Solve the following:5x+12x=−13
Answer» Question 73 Solve the following: $\frac{5 x + 1}{2 x} = - \frac{1}{3}$

30.

Question 73Solve the following:5x+12x=−13

Answer»

Question 73

Solve the following:

$\frac{5 x + 1}{2 x} = - \frac{1}{3}$

Discussion

31.	Question 1(ii) State whether the number given below is a perfect cube or not: 128
Answer» Question 1(ii) State whether the number given below is a perfect cube or not: 128

Discussion

32.	Jack wanted to construct a quadrilateral TRUE with the following measurements. TR = 3.5 cm, RU = 3 cm, UE = 4 cm, ∠R=75° and ∠U=120°. Find which of the following is the correct one.
Answer» Jack wanted to construct a quadrilateral TRUE with the following measurements. TR = 3.5 cm, RU = 3 cm, UE = 4 cm, $∠ R = 75 °$ and $∠ U = 120 °$ . Find which of the following is the correct one.

Discussion

33.	A rectangular pool of 20 m wide and 60 m long is surrounded by a walkway of uniform width. If the total area of the walkway is 516 m2, how wide, in metres, is the walkway?
Answer» A rectangular pool of 20 m wide and 60 m long is surrounded by a walkway of uniform width. If the total area of the walkway is 516 $m^{2}$ , how wide, in metres, is the walkway?

Discussion

34.	Insert six rational numbers between 56 and 89.
Answer» Insert six rational numbers between $\frac{5}{6}$ and $\frac{8}{9}$ .

Discussion

35.	Find the distance between the points (−1,6) and (2,2).
Answer» Find the distance between the points $(- 1, 6)$ and $(2, 2) .$

Discussion

36.	Question 4(ii) Factorise p4−81
Answer» Question 4(ii) Factorise $p^{4} - 81$

Discussion

37.	Find x, if 25+x=35
Answer» Find $x$ , if $\frac{2}{5} + x = \frac{3}{5}$

Discussion

38.	How many rectangles does a 3×3 square has?
Answer» How many rectangles does a $3 \times 3$ square has?

Discussion

39.	The area of the hexagon, if AB = BC = CD = DE = EF = FA = 13cm and AO = PD = 5cm, is ___ cm2 Given: ∆AOB is right angled triangle at O and ∆CPD is right angled triangle at P.
Answer» The area of the hexagon, if AB = BC = CD = DE = EF = FA = 13cm and AO = PD = 5cm, is ___ $c m^{2}$ Given: ∆AOB is right angled triangle at O and ∆CPD is right angled triangle at P.

39.

The area of the hexagon, if AB = BC = CD = DE = EF = FA = 13cm and AO = PD = 5cm, is ___ cm2 Given: ∆AOB is right angled triangle at O and ∆CPD is right angled triangle at P.

Answer»

The area of the hexagon, if AB = BC = CD = DE = EF = FA = 13cm and AO = PD = 5cm, is ___ $c m^{2}$

Given: ∆AOB is right angled triangle at O and ∆CPD is right angled triangle at P.

Discussion

40.	If 5√3+√74√3−2√7=X+Y√21, then what is the value of 10X+10Y.
Answer» If $\frac{5 \sqrt{3} + \sqrt{7}}{4 \sqrt{3} - 2 \sqrt{7}} = X + Y \sqrt{21}$ , then what is the value of $10 X + 10 Y$ .

Discussion

41.	In a LPP, the objective function is always ______________.
Answer» In a LPP, the objective function is always ______________.

Discussion

42.	Question 149Here is a table which gives the information about the total rainfall for several months compared to the average monthly rains of a town. Write each decimal in the form of rational number pq.MonthsAbove/Below normal (in cm)May2.6924June0.6096July−6.9088August−8.636
Answer» Question 149 Here is a table which gives the information about the total rainfall for several months compared to the average monthly rains of a town. Write each decimal in the form of rational number $\frac{p}{q}$ . $\begin{matrix} Months & Above/Below normal (in cm) May & 2.6924 June & 0.6096 July & - 6.9088 August & - 8.636 \end{matrix}$

Discussion

43.	23. Choose the odd one, out of the following options.(1) ВСЕI(2) СEGK(3) EGKM(4) GKMQ
Answer» 23. Choose the odd one, out of the following options.(1) ВСЕI(2) СEGK(3) EGKM(4) GKMQ

Discussion

44.	m3−14m2+37m−26 by m2−12m+13
Answer» $m^{3} - 14 m^{2} + 37 m - 26 b y m^{2} - 12 m + 13$

Discussion

45.	The following line graph shows the population of wolves in a forest in Alaska from the year 2014 to 2018.Find the percentage increase in wolves population from 2014 to 2018.
Answer» The following line graph shows the population of wolves in a forest in Alaska from the year 2014 to 2018. Find the percentage increase in wolves population from 2014 to 2018.

Discussion

46.	25 as a percent is(a) 30%(b) 35%(c) 40%(d) 45%
Answer» $\frac{2}{5}$ as a percent is (a) 30% (b) 35% (c) 40% (d) 45%

Discussion

47.	((5z-2)2+40z)/(5z+2)
Answer» ((5z-2)²+40z)/(5z+2)

Discussion

48.	54. In what ratio does the point P(2,5) divide the join of A(8,2) and B(-6,9)?
Answer» 54. In what ratio does the point P(2,5) divide the join of A(8,2) and B(-6,9)?

Discussion

49.	Find zeros of p(x)=√3x² +10x+7√3
Answer» Find zeros of p(x)=√3x² +10x+7√3

Discussion

50.	Question 15A coin is tossed 200 times and head appeared 120 times. The probability of getting a head in this experiment is:(a) 25(b) 35(c) 15(d) 45
Answer» Question 15 A coin is tossed 200 times and head appeared 120 times. The probability of getting a head in this experiment is: (a) $\frac{2}{5}$ (b) $\frac{3}{5}$ (c) $\frac{1}{5}$ (d) $\frac{4}{5}$

50.

Question 15A coin is tossed 200 times and head appeared 120 times. The probability of getting a head in this experiment is:(a) 25(b) 35(c) 15(d) 45

Answer»

Question 15

A coin is tossed 200 times and head appeared 120 times. The probability of getting a head in this experiment is:

(a) $\frac{2}{5}$

(b) $\frac{3}{5}$

(c) $\frac{1}{5}$

(d) $\frac{4}{5}$

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Find the cube root of the result obtained when you subtract x3 from 4097x3.

If we start at (0,0) on a rectangular coordinate system and move 6 left and 2 down, where are we?

48 If the value of cfse for Ni is x then find the cfse value for Pd

A line crosses the x−axis at (7,0). What is its x−intercept?7

Construct a right angle triangle whose perpendicular sides are 12 cm and 5 cm, using a ruler and a set square. Write its steps of construction. Also measure the length of the third side.

Check whether 273432 is divisible by ‘6’ or not?

The standard notation of 1650000 is given by .

Find compound interest on ₹ 10,000 at 15% per annum for 2 years 4 months, compounded annually.

Prove that there exists infinitely many perfect square numbers starting with the digits"2018"?

X+6365(+55)x-559=? (x=36)

Two numbers are in the ratio 10:4 and when 3 is added to both the numbers ratio becomes 3:1. Find the numbers.

Question 39Fill in the blanks to make the statements true.In the figure given below, each square is of unit length. The ratio of the perimeter of the boundary of the shaded portion to the perimeter of the whole figure is ___.

Question 2Construct the rhombus whose diagonals are 5.2 cm and 6.4 cm.

Use a suitable identity to get each of the following products:(6x−7)(6x+7)

Write ∑_{r=0^mn+r_{C_r in the simplified form.

The mean of prime numbers between 20 and 30 is:

If (1, 4) is the midpoint of the line joining the points A(-5, 2) and B, then find the coordinates of B.

33. Number of quadrilaterals that can be formed using the vertices of a polygon of 10 side if exactly one side the quadrilateral is common with the side of 10 side polygon is ??

A shopkeeper sells an article for Rs.21,384 including 10% tax. However, the actual rate of Tax is 8%. Find the extra profit made by the dealer.

Construct a parallalogram one of whose side is 5cm and whose diagonal are 5.8 cm and 6.4 cm

Question 51 A man purchased a bicycle for Rs 1040 and sold it for Rs 800. His loss per cent is 30%.

If the number 4 is added with 2 then, multiplied by 5, what is the resulting number?

Expand (2a−7)(2a−7)

Which among the following is an irrational number?

If a=2,b=3,c=4, find the value of:(a) 3a−b+2c (b) a2−b2+c2 (c) ab−3abc−2ac (d) a2b+bc−3c3−2abc

What is the need of introducing axioms?

Question 63Fill in the blanks to make the statements true.A quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure is ___.

Find the possible pairs of the opposite angles for a inscribed quadrilateral.

Find x if 27x =9/3x

Question 73Solve the following:5x+12x=−13

Question 1(ii) State whether the number given below is a perfect cube or not: 128

Jack wanted to construct a quadrilateral TRUE with the following measurements. TR = 3.5 cm, RU = 3 cm, UE = 4 cm, ∠R=75° and ∠U=120°. Find which of the following is the correct one.

A rectangular pool of 20 m wide and 60 m long is surrounded by a walkway of uniform width. If the total area of the walkway is 516 m2, how wide, in metres, is the walkway?

Insert six rational numbers between 56 and 89.

Find the distance between the points (−1,6) and (2,2).

Question 4(ii) Factorise p4−81

Find x, if 25+x=35

How many rectangles does a 3×3 square has?

The area of the hexagon, if AB = BC = CD = DE = EF = FA = 13cm and AO = PD = 5cm, is ___ cm2 Given: ∆AOB is right angled triangle at O and ∆CPD is right angled triangle at P.

If 5√3+√74√3−2√7=X+Y√21, then what is the value of 10X+10Y.

In a LPP, the objective function is always ______________.

Question 149Here is a table which gives the information about the total rainfall for several months compared to the average monthly rains of a town. Write each decimal in the form of rational number pq.MonthsAbove/Below normal (in cm)May2.6924June0.6096July−6.9088August−8.636

23. Choose the odd one, out of the following options.(1) ВСЕI(2) СEGK(3) EGKM(4) GKMQ

m3−14m2+37m−26 by m2−12m+13

The following line graph shows the population of wolves in a forest in Alaska from the year 2014 to 2018.Find the percentage increase in wolves population from 2014 to 2018.

25 as a percent is(a) 30%(b) 35%(c) 40%(d) 45%

((5z-2)2+40z)/(5z+2)

54. In what ratio does the point P(2,5) divide the join of A(8,2) and B(-6,9)?

Find zeros of p(x)=√3x² +10x+7√3

Question 15A coin is tossed 200 times and head appeared 120 times. The probability of getting a head in this experiment is:(a) 25(b) 35(c) 15(d) 45