24740 + Interview Questions in Mathematics Page 27 InterviewSolution

1301.	The angles of a triangle are in the ratio 2:2:4, Find the angles.
Answer» $The angles of a triangle are in the ratio 2:2:4, Find the angles.$

Discussion

1302.	Find the number of proper subsets of the setX={x2:x ϵ N,x2≤100}
Answer» Find the number of proper subsets of the set $X = {x^{2} : x ϵ N, x^{2} \leq 100}$

Discussion

1303.	X3+y3+z3-3xyz=1/2(x+y+z)[(x-y)2+(y-z)2+(z-x)2.prove
Answer» X3+y3+z3-3xyz=1/2(x+y+z)[(x-y)2+(y-z)2+(z-x)2.prove

Discussion

1304.	The number of lines passing through 2 collinear points is
Answer» The number of lines passing through 2 collinear points is

Discussion

1305.	The value of 8-4/3÷2-21/2 is(a) 12(b) 2(c) 14(d) 4
Answer» The value of ${\{8^{- 4 / 3} \div 2^{- 2}\}}^{1 / 2}$ is (a) $\frac{1}{2}$ (b) 2 (c) $\frac{1}{4}$ (d) 4

Discussion

1306.	Prove that -- cos20°cos40° cos60° cos80° =1
Answer» Prove that -- cos20°cos40° cos60° cos80° =1

Discussion

1307.	Write the following as intervals:(i) {x:x∈R,−4<x≤6}(ii) {x:x∈R,−12<x<−10}(iii) {x:x∈R,0≤x<7}(iv) {x:x∈R,3≤x≤4}
Answer» Write the following as intervals: $(i) {x : x \in R, - 4 < x \leq 6}$ $(i i) {x : x \in R, - 12 < x < - 10}$ $(i i i) {x : x \in R, 0 \leq x < 7}$ $(i v) {x : x \in R, 3 \leq x \leq 4}$

Discussion

1308.	A field in the form of parallelogram has sides 60m and 40m and one of its diagonals is 80m long. Find the area of parallelogram.
Answer» A field in the form of parallelogram has sides 60m and 40m and one of its diagonals is 80m long. Find the area of parallelogram.

Discussion

1309.	Use identities to evaluate 1992
Answer» Use identities to evaluate $199^{2}$

1309.

Use identities to evaluate 1992

Answer»

Use identities to evaluate $199^{2}$

Discussion

1310.	Given graph gives the solution of the linear equation
Answer» Given graph gives the solution of the linear equation

Discussion

1311.	x3 + 13x2 + 32x + 20
Answer» x³ + 13x² + 32x + 20

Discussion

1312.	Verify that x3+ y3+ z3- 3xyz = 12((x + y + z)[(x−y)2 + (y−z)2 + (z−x)2]
Answer» Verify that $x^{3}$ + $y^{3}$ + $z^{3}$ - 3xyz = $\frac{1}{2}$ ((x + y + z)[ ${(x - y)}^{2}$ + ${(y - z)}^{2}$ + ${(z - x)}^{2}$ ]

Discussion

1313.	Evaluate {√(5+2√6)} + {√(8-2√15)}
Answer» Evaluate {√(5+2√6)} + {√(8-2√15)}

Discussion

1314.	If 70% of the volume from a 10 cm cubical container is poured into a cuboidal vessel of length 20 cm, breadth 15 cm and height 10cm, what fraction of the cuboidal vessel is occupied ?
Answer» If 70% of the volume from a 10 cm cubical container is poured into a cuboidal vessel of length 20 cm, breadth 15 cm and height 10cm, what fraction of the cuboidal vessel is occupied ?

Discussion

1315.	Which one of the following schemes of ordering closed packed sheets of equal sized spheres does not generate closed packed lattice? 1. ABCABC 2. ABACABAC 3. ABBAABBA 4. ABCBCABCBC
Answer» Which one of the following schemes of ordering closed packed sheets of equal sized spheres does not generate closed packed lattice? 1. ABCABC 2. ABACABAC 3. ABBAABBA 4. ABCBCABCBC

Discussion

1316.	Question 1 (v)Does the following figure lie on the same base and between the same parallels? If yes, write the common base and two parallels.
Answer» Question 1 (v) Does the following figure lie on the same base and between the same parallels? If yes, write the common base and two parallels.

Discussion

1317.	A Samsung tablet is to be sent as a gift. The shopkeeper has to wrap the tablet which is in a box of dimensions 20 cm × 10 cm × 5 cm. How much paper would be required to wrap it? (Assuming the gift paper to have negligible thickness)
Answer» A Samsung tablet is to be sent as a gift. The shopkeeper has to wrap the tablet which is in a box of dimensions 20 cm $\times$ 10 cm $\times$ 5 cm. How much paper would be required to wrap it? (Assuming the gift paper to have negligible thickness)

Discussion

1318.	If x>0 and y
Answer» If x>0 and y<0 then the point x,-y lies on

Discussion

1319.	What is anthracene?
Answer» What is anthracene?

Discussion

1320.	Question 101 (iii) Here is keyboard of a harmonium. This pattern of keys is repeated on a larger keyboard. How many black keys would you expect to find on a keyboard with 14 such patterns?
Answer» Question 101 (iii) Here is keyboard of a harmonium. This pattern of keys is repeated on a larger keyboard. How many black keys would you expect to find on a keyboard with 14 such patterns?

1320.

Question 101 (iii) Here is keyboard of a harmonium. This pattern of keys is repeated on a larger keyboard. How many black keys would you expect to find on a keyboard with 14 such patterns?

Answer»

Question 101 (iii)

Here is keyboard of a harmonium.

This pattern of keys is repeated on a larger keyboard. How many black keys would you expect to find on a keyboard with 14 such patterns?

Discussion

1321.	It is possible for two chords to not be equal even if they are at a same distance from the centre when
Answer» It is possible for two chords to not be equal even if they are at a same distance from the centre when

Discussion

1322.	The square root of 64 divided by the cube root of 64 is
Answer» The square root of 64 divided by the cube root of 64 is

Discussion

1323.	Question 1 In quadrilateral ACBD, AC = AD and AB bisects∠ A (See the given figure). Show that ΔABC≅ΔABD. What can you say about BC and BD?
Answer» Question 1 In quadrilateral ACBD, AC = AD and AB bisects $∠$ A (See the given figure). Show that $Δ A B C ≅ Δ A B D .$ What can you say about BC and BD?

Discussion

1324.	A gulab jamun contains sugar syrup up to about 30% of its volume. Find approximately how much syrup would be found in 45 gulab jamuns, each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm.
Answer» A gulab jamun contains sugar syrup up to about 30% of its volume. Find approximately how much syrup would be found in 45 gulab jamuns, each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm.

Discussion

1325.	If we take the sum of an irrational number and a rational number, which of the following options hold true regarding the resulting sum?
Answer» If we take the sum of an irrational number and a rational number, which of the following options hold true regarding the resulting sum?

Discussion

1326.	A hotel chef mistakenly made the pizza in the shape of square of side 18 cm. The area of largest circular pizza that he can get from it is around?
Answer» A hotel chef mistakenly made the pizza in the shape of square of side 18 cm. The area of largest circular pizza that he can get from it is around?

Discussion

1327.	What is likely to happen if during constructing perpendicular to a given line segment AB, the first choice of arc radius is not taken more than half of AB?
Answer» What is likely to happen if during constructing perpendicular to a given line segment AB, the first choice of arc radius is not taken more than half of AB?

Discussion

1328.	Express the following linear equations in the form ax+by+c=0 and indicate the values of a, b and c in each case: (i) −2x+3y=12 (ii) x−y2−5=0 (iii) 2x+3y=9.35 (iv) 3x=−7y (v) 2x+3=0 (vi) y−5=0 (vii) 4=3x (viii) y=x2
Answer» Express the following linear equations in the form $a x + b y + c = 0$ and indicate the values of a, b and c in each case: (i) $- 2 x + 3 y = 12$ (ii) $x - \frac{y}{2} - 5 = 0$ (iii) $2 x + 3 y = 9.35$ (iv) $3 x = - 7 y$ (v) $2 x + 3 = 0$ (vi) $y - 5 = 0$ (vii) $4 = 3 x$ (viii) $y = \frac{x}{2}$

1328.

Express the following linear equations in the form ax+by+c=0 and indicate the values of a, b and c in each case: (i) −2x+3y=12 (ii) x−y2−5=0 (iii) 2x+3y=9.35 (iv) 3x=−7y (v) 2x+3=0 (vi) y−5=0 (vii) 4=3x (viii) y=x2

Answer»

Express the following linear equations in the form $a x + b y + c = 0$ and indicate the values of a, b and c in each case:

(i) $- 2 x + 3 y = 12$ (ii) $x - \frac{y}{2} - 5 = 0$ (iii) $2 x + 3 y = 9.35$

(iv) $3 x = - 7 y$ (v) $2 x + 3 = 0$ (vi) $y - 5 = 0$

(vii) $4 = 3 x$ (viii) $y = \frac{x}{2}$

Discussion

1329.	If the parabola represented by f(x) = ax2 + bx + c cuts x-axis at two distinct points, then the polynomial ax2 + bx + c has ________ real zeroes.
Answer» If the parabola represented by f(x) = ax² + bx + c cuts x-axis at two distinct points, then the polynomial ax² + bx + c has ________ real zeroes.

Discussion

1330.	Question 10The value of 2√3+√3 is A) 2√6B) 6C) 3√3D) 4√6
Answer» Question 10 The value of $2 \sqrt{3} + \sqrt{3}$ is A) $2 \sqrt{6}$ B) 6 C) $3 \sqrt{3}$ D) $4 \sqrt{6}$

Discussion

1331.	Evaluate (tan 45∘cosec 30∘)+(sec 60∘cot 45∘)−(5sin 90∘2cot 0∘)
Answer» Evaluate $(\frac{tan 45^{\circ}}{c o s e c 30^{\circ}}) + (\frac{sec 60^{\circ}}{cot 45^{\circ}}) - (\frac{5 sin 90^{\circ}}{2 cot 0^{\circ}})$

Discussion

1332.	Which of the following expressions is equivalent to the expression: (1.5x−4y)(1.5x+4y+3)−4.5x+12y
Answer» Which of the following expressions is equivalent to the expression: $(1.5 x - 4 y) (1.5 x + 4 y + 3) - 4.5 x + 12 y$

Discussion

1333.	Write the coefficient of x6 :X3+2x+1/5-7/2 x2-x6
Answer» Write the coefficient of x⁶ :X³+2x+1/5-7/2 x²-x⁶

1333.

Write the coefficient of x6 :X3+2x+1/5-7/2 x2-x6

Answer»

Write the coefficient of x⁶

:X³+2x+1/5-7/2 x²-x⁶

Discussion

1334.	Joe bought a rectangular-shaped farm. Length of his farm is 25 ft and breadth is 35 ft. Area of the farm is ft2
Answer» Joe bought a rectangular-shaped farm. Length of his farm is $2^{5} ft$ and breadth is $3^{5} ft$ . Area of the farm is ${ft}^{2}$

Discussion

1335.	A biased die is loaded such that the probability of a composite number is thrice that of the probability of a prime no, and also twice that of the number 1 showing up on the top of the die. find the probability that if the same die is rolled twice, then 1 will show up both the times.
Answer» A biased die is loaded such that the probability of a composite number is thrice that of the probability of a prime no, and also twice that of the number 1 showing up on the top of the die. find the probability that if the same die is rolled twice, then 1 will show up both the times.

Discussion

1336.	If one angle of parallelogram is 90∘,then all the other angles are equal to .
Answer» $If one angle of parallelogram is 90^{\circ}, then all the other angles are equal to$ .

Discussion

1337.	Rectify the following errors found in the books of Mr. Suhail by passing entries:(i) One item of purchase of ₹ 250 has been posted from the purchases book to the ledger as ₹ 350.(ii) Sales return of ₹ 2,000 from a party has not been posted to that account, through the party's account has been credited.(iii) A cheque of ₹ 600 issued to the suppliers account (shown under Sundry Creditors) toward his dues had been wrongly debited to the purchases account.(iv) Credit sale of ₹ 1,000 has been credited to the sales and also to the Sundry Debtor's Account.
Answer» Rectify the following errors found in the books of Mr. Suhail by passing entries: (i) One item of purchase of ₹ 250 has been posted from the purchases book to the ledger as ₹ 350. (ii) Sales return of ₹ 2,000 from a party has not been posted to that account, through the party's account has been credited. (iii) A cheque of ₹ 600 issued to the suppliers account (shown under Sundry Creditors) toward his dues had been wrongly debited to the purchases account. (iv) Credit sale of ₹ 1,000 has been credited to the sales and also to the Sundry Debtor's Account.

Discussion

1338.	Binomial coefficient of 7th term of the expansion (2x−3y)20 is/are
Answer» Binomial coefficient of $7^{t h}$ term of the expansion $(2 x - 3 y)^{20}$ is/are

Discussion

1339.	A triangle and a parallelogram have the same base and same area. If the sides of the triangle are 26 cm, 28 cm and 30 cm and the parallelogram stands on the base 28 cm, find the height of the parallelogram.
Answer» A triangle and a parallelogram have the same base and same area. If the sides of the triangle are 26 cm, 28 cm and 30 cm and the parallelogram stands on the base 28 cm, find the height of the parallelogram.

Discussion

1340.	One chord of a circle is known to be 10 cm. The radius of this circle must be(a) 5 cm(b) greater than 5 cm(c) greater than or equal to 5 cm(d) less than 5 cm
Answer» One chord of a circle is known to be 10 cm. The radius of this circle must be (a) 5 cm (b) greater than 5 cm (c) greater than or equal to 5 cm (d) less than 5 cm

Discussion

1341.	Find the acute angle ∠POQ in the below figure (in degrees). 60
Answer» Find the acute angle $∠ P O Q$ in the below figure (in degrees). 60

Discussion

1342.	Question 1Construct the square READ with RE = 5.1 cm.
Answer» Question 1 Construct the square READ with RE = 5.1 cm.

Discussion

1343.	A man walked diagonally across a square plot. Approximately, what was the percent saved by notwalking along the edges?
Answer» A man walked diagonally across a square plot. Approximately, what was the percent saved by not walking along the edges?

Discussion

1344.	A largest possible right-circular cylinder is cut from a wooden cube of edge 7 cm. The volume of the wood left over after cutting the cylinder is __________.
Answer» A largest possible right-circular cylinder is cut from a wooden cube of edge 7 cm. The volume of the wood left over after cutting the cylinder is __________.

Discussion

1345.	Let f(x) = sqrt(x ^ 2 + 2x + 1) - sqrt(x ^ 2 - 2x + 1) then value of f(- 5/4) + f(3/4) + f(7/4) is equal to
Answer» Let f(x) = sqrt(x ^ 2 + 2x + 1) - sqrt(x ^ 2 - 2x + 1) then value of f(- 5/4) + f(3/4) + f(7/4) is equal to

Discussion

1346.	Question 2 The diagonals of a parallelogram ABCD intersect at a point O. Through O, a line is drawn to intersect AD at P and BC at Q. Show that PQ divides the parallelogram into two parts of equal area.
Answer» Question 2 The diagonals of a parallelogram ABCD intersect at a point O. Through O, a line is drawn to intersect AD at P and BC at Q. Show that PQ divides the parallelogram into two parts of equal area.

Discussion

1347.	Why a non zero constant polynomial has no zero?
Answer» Why a non zero constant polynomial has no zero?

Discussion

1348.	Find the value of k, if (x−1) is a factor of p(x)=4x3+x2–3x+k.
Answer» Find the value of $k$ , if $(x - 1)$ is a factor of $p (x) = 4 x^{3} + x^{2} - 3 x + k$ .

Discussion

1349.	Question 38Fill in the blanks to make the statements true.If two ratios are equal, then they are in ___.
Answer» Question 38 Fill in the blanks to make the statements true. If two ratios are equal, then they are in ___.

1349.

Question 38Fill in the blanks to make the statements true.If two ratios are equal, then they are in ___.

Answer»

Question 38

Fill in the blanks to make the statements true.

If two ratios are equal, then they are in ___.

Discussion

1350.	Write the coordinates of a point that lies on the y axis on the positive side at 3.
Answer» Write the coordinates of a point that lies on the y axis on the positive side at 3.

Discussion

Explore topic-wise InterviewSolutions in .

The angles of a triangle are in the ratio 2:2:4, Find the angles.

Find the number of proper subsets of the setX={x2:x ϵ N,x2≤100}

X3+y3+z3-3xyz=1/2(x+y+z)[(x-y)2+(y-z)2+(z-x)2.prove

The number of lines passing through 2 collinear points is

The value of 8-4/3÷2-21/2 is(a) 12(b) 2(c) 14(d) 4

Prove that -- ​​​​cos20°cos40° cos60° cos80° =1

Write the following as intervals:(i) {x:x∈R,−4&lt;x≤6}(ii) {x:x∈R,−12&lt;x&lt;−10}(iii) {x:x∈R,0≤x&lt;7}(iv) {x:x∈R,3≤x≤4}

A field in the form of parallelogram has sides 60m and 40m and one of its diagonals is 80m long. Find the area of parallelogram.

Use identities to evaluate 1992

Given graph gives the solution of the linear equation

x3 + 13x2 + 32x + 20

Verify that x3+ y3+ z3- 3xyz = 12((x + y + z)[(x−y)2 + (y−z)2 + (z−x)2]

Evaluate {√(5+2√6)} + {√(8-2√15)}

If 70% of the volume from a 10 cm cubical container is poured into a cuboidal vessel of length 20 cm, breadth 15 cm and height 10cm, what fraction of the cuboidal vessel is occupied ?

Which one of the following schemes of ordering closed packed sheets of equal sized spheres does not generate closed packed lattice? 1. ABCABC 2. ABACABAC 3. ABBAABBA 4. ABCBCABCBC

Question 1 (v)Does the following figure lie on the same base and between the same parallels? If yes, write the common base and two parallels.

A Samsung tablet is to be sent as a gift. The shopkeeper has to wrap the tablet which is in a box of dimensions 20 cm × 10 cm × 5 cm. How much paper would be required to wrap it? (Assuming the gift paper to have negligible thickness)

If x>0 and y

What is anthracene?

Question 101 (iii) Here is keyboard of a harmonium. This pattern of keys is repeated on a larger keyboard. How many black keys would you expect to find on a keyboard with 14 such patterns?

It is possible for two chords to not be equal even if they are at a same distance from the centre when

The square root of 64 divided by the cube root of 64 is

Question 1 In quadrilateral ACBD, AC = AD and AB bisects∠ A (See the given figure). Show that ΔABC≅ΔABD. What can you say about BC and BD?

A gulab jamun contains sugar syrup up to about 30% of its volume. Find approximately how much syrup would be found in 45 gulab jamuns, each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm.

If we take the sum of an irrational number and a rational number, which of the following options hold true regarding the resulting sum?

A hotel chef mistakenly made the pizza in the shape of square of side 18 cm. The area of largest circular pizza that he can get from it is around?

What is likely to happen if during constructing perpendicular to a given line segment AB, the first choice of arc radius is not taken more than half of AB?

Express the following linear equations in the form ax+by+c=0 and indicate the values of a, b and c in each case: (i) −2x+3y=12 (ii) x−y2−5=0 (iii) 2x+3y=9.35 (iv) 3x=−7y (v) 2x+3=0 (vi) y−5=0 (vii) 4=3x (viii) y=x2

If the parabola represented by f(x) = ax2 + bx + c cuts x-axis at two distinct points, then the polynomial ax2 + bx + c has ________ real zeroes.

Question 10The value of 2√3+√3 is A) 2√6B) 6C) 3√3D) 4√6

Evaluate (tan 45∘cosec 30∘)+(sec 60∘cot 45∘)−(5sin 90∘2cot 0∘)

Which of the following expressions is equivalent to the expression: (1.5x−4y)(1.5x+4y+3)−4.5x+12y

Write the coefficient of x6 ​​​​​ :X3+2x+1/5-7/2 x2-x6

Joe bought a rectangular-shaped farm. Length of his farm is 25 ft and breadth is 35 ft. Area of the farm is ft2

A biased die is loaded such that the probability of a composite number is thrice that of the probability of a prime no, and also twice that of the number 1 showing up on the top of the die. find the probability that if the same die is rolled twice, then 1 will show up both the times.

If one angle of parallelogram is 90∘,then all the other angles are equal to .

Binomial coefficient of 7th term of the expansion (2x−3y)20 is/are

A triangle and a parallelogram have the same base and same area. If the sides of the triangle are 26 cm, 28 cm and 30 cm and the parallelogram stands on the base 28 cm, find the height of the parallelogram.

One chord of a circle is known to be 10 cm. The radius of this circle must be(a) 5 cm(b) greater than 5 cm(c) greater than or equal to 5 cm(d) less than 5 cm

Find the acute angle ∠POQ in the below figure (in degrees). 60

Question 1Construct the square READ with RE = 5.1 cm.

A man walked diagonally across a square plot. Approximately, what was the percent saved by notwalking along the edges?

A largest possible right-circular cylinder is cut from a wooden cube of edge 7 cm. The volume of the wood left over after cutting the cylinder is __________.

Let f(x) = sqrt(x ^ 2 + 2x + 1) - sqrt(x ^ 2 - 2x + 1) then value of f(- 5/4) + f(3/4) + f(7/4) is equal to

Question 2 The diagonals of a parallelogram ABCD intersect at a point O. Through O, a line is drawn to intersect AD at P and BC at Q. Show that PQ divides the parallelogram into two parts of equal area.

Why a non zero constant polynomial has no zero?

Find the value of k, if (x−1) is a factor of p(x)=4x3+x2–3x+k.

Question 38Fill in the blanks to make the statements true.If two ratios are equal, then they are in ___.

Write the coordinates of a point that lies on the y axis on the positive side at 3.

Prove that -- cos20°cos40° cos60° cos80° =1

Write the following as intervals:(i) {x:x∈R,−4<x≤6}(ii) {x:x∈R,−12<x<−10}(iii) {x:x∈R,0≤x<7}(iv) {x:x∈R,3≤x≤4}

Write the coefficient of x6 :X3+2x+1/5-7/2 x2-x6