24740 + Interview Questions in Mathematics Page 138 InterviewSolution

6851.	Multiply and reduce to lowest form and convert into a mixed fraction:11×47
Answer» Multiply and reduce to lowest form and convert into a mixed fraction: $11 \times \frac{4}{7}$

Discussion

6852.	The vector a→+b→ bisects the angle between the non-collinear vectors a→ and b→, if ___________.
Answer» The vector $\vec{a} + \vec{b}$ bisects the angle between the non-collinear vectors $\vec{a} and \vec{b}$ , if ___________.

Discussion

6853.	Simplify the following: √3×12×24×6
Answer» Simplify the following: $\sqrt{3 \times 12 \times 24 \times 6}$

Discussion

6854.	Question 1The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.
Answer» Question 1 The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.

Discussion

6855.	In the given figure, l \|\| m and a transversal t cuts them. If ∠1 = 120°, find the measure of each of the remaining marked angles.
Answer» In the given figure, l \|\| m and a transversal t cuts them. If ∠1 = 120°, find the measure of each of the remaining marked angles.

Discussion

6856.	Select the pair that has the same relationship as the original pair of words / numbers : Part : Whole : Arc : ______
Answer» Select the pair that has the same relationship as the original pair of words / numbers : Part : Whole : Arc : ______

6856.

Select the pair that has the same relationship as the original pair of words / numbers : Part : Whole : Arc : ______

Answer»

Select the pair that has the same relationship as the original pair of words / numbers :

Part : Whole : Arc : ______

Discussion

6857.	Question 9Two congruent circles intersect each other at points A and B. Through A any line segment PAQ is drawn so that P, Q lie on the two circles. Prove that BP = BQ.
Answer» Question 9 Two congruent circles intersect each other at points A and B. Through A any line segment PAQ is drawn so that P, Q lie on the two circles. Prove that BP = BQ.

Discussion

6858.	Prepare Bank Reconciliation Statement from the following:On 31st March, 2018, a merchant's Cash Book showed a credit bank balance of ₹ 10,500 but due to the following reasons the Pass Book showed a difference.(i) A cheque of ₹ 540 issued to Mohan has not been presented for payment.(ii) A post-dated cheque for ₹ 100 has been debited in the bank column of the Cash Book but under no circumstances was it possible to prove it.(iii) Four cheque for ₹ 1,200 sent to the bank have not been collected so far. A cheque of ₹ 400 deposited in the bank has been dishonoured.(iv) As per instructions, the bank paid ₹ 50 as Fire Insurance premium but the entry has not been made in the Cash Book.(v) There was a debit in the Pass Book of ₹ 15 in respect of bank charges and a credit of ₹ 25 for interest on Current Account but no record exists in the Cash Book.(vi) Cheque of ₹ 5,000 dated 15th April, 2018 issued to M & Co. was dishonoured being post dated. It was also not recorded in the books of account yet.
Answer» Prepare Bank Reconciliation Statement from the following: On 31st March, 2018, a merchant's Cash Book showed a credit bank balance of ₹ 10,500 but due to the following reasons the Pass Book showed a difference. (i) A cheque of ₹ 540 issued to Mohan has not been presented for payment. (ii) A post-dated cheque for ₹ 100 has been debited in the bank column of the Cash Book but under no circumstances was it possible to prove it. (iii) Four cheque for ₹ 1,200 sent to the bank have not been collected so far. A cheque of ₹ 400 deposited in the bank has been dishonoured. (iv) As per instructions, the bank paid ₹ 50 as Fire Insurance premium but the entry has not been made in the Cash Book. (v) There was a debit in the Pass Book of ₹ 15 in respect of bank charges and a credit of ₹ 25 for interest on Current Account but no record exists in the Cash Book. (vi) Cheque of ₹ 5,000 dated 15th April, 2018 issued to M & Co. was dishonoured being post dated. It was also not recorded in the books of account yet.

Discussion

6859.	Find the slope of a line which is parallel to the x-axis.
Answer» Find the slope of a line which is parallel to the x-axis.

Discussion

6860.	Construct a triangle of sides 4 cm, 5 cm and 6 cm and then a triangle similar to it whose sides are 23 of the corresponding sides of the first triangle.
Answer» Construct a triangle of sides 4 cm, 5 cm and 6 cm and then a triangle similar to it whose sides are $\frac{2}{3}$ of the corresponding sides of the first triangle.

Discussion

6861.	Which statement is true for the sentence? Her shrieks were louder than the combined sound of fifty foghorns.
Answer» Which statement is true for the sentence? Her shrieks were louder than the combined sound of fifty foghorns.

6861.

Which statement is true for the sentence? Her shrieks were louder than the combined sound of fifty foghorns.

Answer»

Which statement is true for the sentence?

Her shrieks were louder than the combined sound of fifty foghorns.

Discussion

6862.	If 14.287628762876........ can be represented in pq form, then 'p - q ' is ________.
Answer» If 14.287628762876........ can be represented in $\frac{p}{q}$ form, then 'p - q ' is ________.

Discussion

6863.	(A−B)∩(C−B)=
Answer» $(A - B) \cap (C - B) =$

Discussion

6864.	The base of a right triangle is 48 cm and its hypotenuse is 50 cm long.The area of the triangle is(a) 168 cm2 (b) 252 cm2 (c) 336 cm2 (d) 504 cm2
Answer» $The base of a right triangle is 48 cm and its hypotenuse is 50 cm long.The area of the triangle is (a) 168 c m^{2} (b) 252 c m^{2} (c) 336 c m^{2} (d) 504 c m^{2}$

Discussion

6865.	Consider a triangle with perimeter 2 units and sides a,b and c. Then the range of ab+bc+ca-abc is_________.
Answer» Consider a triangle with perimeter 2 units and sides a,b and c. Then the range of ab+bc+ca-abc is_________.

Discussion

6866.	Find the area of the triangle whose sides are 42 cm, 34 cm and 20 cm. Also, find the height corresponding to the longest side.
Answer» Find the area of the triangle whose sides are 42 cm, 34 cm and 20 cm. Also, find the height corresponding to the longest side.

Discussion

6867.	Question 8Water is flowing at the rate of 15 km/h through a pipe of diameter 14 cm into a cuboidal pond which is 50 m long and 44 m wide. In what time will the level of water in pond rise by 21 cm?
Answer» Question 8 Water is flowing at the rate of 15 km/h through a pipe of diameter 14 cm into a cuboidal pond which is 50 m long and 44 m wide. In what time will the level of water in pond rise by 21 cm?

Discussion

6868.	32a3 + 108b3
Answer» 32a³ + 108b³

Discussion

6869.	Integration of 5/√5x dx
Answer» Integration of 5/√5x dx

Discussion

6870.	ΔABC is an isosceles right triangle right-angled at A. If AB = 4 cm, then its area is _________.
Answer» ΔABC is an isosceles right triangle right-angled at A. If AB = 4 cm, then its area is _________.

Discussion

6871.	If one angle of a parallelogram is 24° less than twice the smallest angle, then the measure of the largest angle of the parallelogram is(a) 176°(b) 68°(c) 112°(d) 102°
Answer» If one angle of a parallelogram is 24° less than twice the smallest angle, then the measure of the largest angle of the parallelogram is (a) 176° (b) 68° (c) 112° (d) 102°

Discussion

6872.	a quadratic polynomial whose zeros are root2 and root6/2 are [where k is non zero constant]
Answer» a quadratic polynomial whose zeros are root2 and root6/2 are [where k is non zero constant]

Discussion

6873.	The perimeter of one face of a cube is 40 cm. The volume of the cube is _________.
Answer» The perimeter of one face of a cube is 40 cm. The volume of the cube is _________.

Discussion

6874.	Factorize:x(x-2)(x-4) + 4x -8
Answer» Factorize: $x (x - 2) (x - 4) + 4 x - 8$

Discussion

6875.	What is a non-zero polynomial with degree zero called?
Answer» What is a non-zero polynomial with degree zero called?

Discussion

6876.	In Fig. 65, if AB \|\| CE, then the values of x and y are(a) x = 26, y = 144(b) x = 36, y = 154(c) x = 154, y = 36(d) x = 144, y = 26
Answer» In Fig. 65, if AB \|\| CE, then the values of x and y are (a) x = 26, y = 144 (b) x = 36, y = 154 (c) x = 154, y = 36 (d) x = 144, y = 26

Discussion

6877.	A die was rolled 100 times and the number of times, 6 came up was noted. If the experimental probability calculated from this information is 25, then how many times 6 came up? Justify your answer.
Answer» A die was rolled $100$ times and the number of times, $6$ came up was noted. If the experimental probability calculated from this information is $\frac{2}{5}$ , then how many times $6$ came up? Justify your answer.

Discussion

6878.	Factorize: x2+2√3x−24
Answer» Factorize: $x^{2} + 2 \sqrt{3} x - 24$

6878.

Factorize: x2+2√3x−24

Answer»

Factorize:

$x^{2} + 2 \sqrt{3} x - 24$

Discussion

6879.	If x=√a sinα and y=√a cosα, find the value of y2+x2. __
Answer» If $x = \sqrt{a} s i n α$ and $y = \sqrt{a} c o s α$ , find the value of $y^{2} + x^{2}$ . __

Discussion

6880.	Line AB \|\| CD and transversal XY meets AB at M and CD at N. If ∠AMX=x and ∠CNX=2x−60, then x= .
Answer» Line AB \|\| CD and transversal XY meets AB at M and CD at N. If $∠ A M X = x and ∠ C N X = 2 x - 60$ , then $x =$ .

Discussion

6881.	Lines PQ and RS intersect at O, forming the angles as shown in the figure. If a = 35o, the values of b and d are
Answer» Lines PQ and RS intersect at O, forming the angles as shown in the figure. If a = 35^o, the values of b and d are

6881.

Lines PQ and RS intersect at O, forming the angles as shown in the figure. If a = 35o, the values of b and d are

Answer»

Lines PQ and RS intersect at O, forming the angles as shown in the figure. If a = 35^o, the values of b and d are

Discussion

6882.	If 630^°
Answer» If 630^°

Discussion

6883.	If a point A(0, 2) is equidistant from the points B(3, p) and C(p, 5), then find the value of p. [CBSE 2012, 2013]
Answer» If a point A(0, 2) is equidistant from the points B(3, p) and C(p, 5), then find the value of p. [CBSE 2012, 2013]

Discussion

6884.	Question 3If the point (3,4) lies on the graph of the equation 3y=ax+7, find the value of a.
Answer» Question 3 If the point $(3, 4)$ lies on the graph of the equation $3 y = a x + 7$ , find the value of a.

Discussion

6885.	The approximate value of (7.995)13 correct to four decimal places is
Answer» The approximate value of $(7.995)^{\frac{1}{3}}$ correct to four decimal places is

6885.

The approximate value of (7.995)13 correct to four decimal places is

Answer»

The approximate value of $(7.995)^{\frac{1}{3}}$ correct to four

decimal places is

Discussion

6886.	9. If A , B , C , D , E and F are five coplanar points then vector DA + DB + DC + AE + BE + CE in terms of vector DE is _______.
Answer» 9. If A , B , C , D , E and F are five coplanar points then vector DA + DB + DC + AE + BE + CE in terms of vector DE is _______.

Discussion

6887.	Find the zeroes of the quadratic polynomial f(x)= x^2/a + b/ac * -x/b -1/c
Answer» Find the zeroes of the quadratic polynomial f(x)= x^2/a + b/ac * -x/b -1/c

Discussion

6888.	if x>0 and x^2+1/9x^2 =25/36, find:x^3+1/27x^3.
Answer» if x>0 and x^2+1/9x^2 =25/36, find:x^3+1/27x^3.

Discussion

6889.	Question 3The diameter of a sphere is decreased by 25%. By what percent does its curved surface area decrease?
Answer» Question 3 The diameter of a sphere is decreased by $25 %$ . By what percent does its curved surface area decrease?

Discussion

6890.	if x=3+(5^2), find the value of x^4+12(x^3)+44(x^2)-48x+17
Answer» if x=3+(5^2), find the value of x^4+12(x^3)+44(x^2)-48x+17

Discussion

6891.	The bisectors of base angles of a triangle cannot enclose a right angle in any case.
Answer» The bisectors of base angles of a triangle cannot enclose a right angle in any case.

Discussion

6892.	Polynomials in Real LifePolynomials are everywhere. It is found in a roller coaster of an amusement park, the slope of a hill, the curve of a bridge or the continuity of a mountain range. They play a key role in the study of algebra, in analysis and on the whole many mathematical problems involving them.Based on the given information, answer the following question:If the roller coaster is represented by the following graph y=p(x) , then name the type of the polynomial it traces.
Answer» Polynomials in Real Life Polynomials are everywhere. It is found in a roller coaster of an amusement park, the slope of a hill, the curve of a bridge or the continuity of a mountain range. They play a key role in the study of algebra, in analysis and on the whole many mathematical problems involving them. Based on the given information, answer the following question: If the roller coaster is represented by the following graph $y = p (x)$ , then name the type of the polynomial it traces.

6892.

Polynomials in Real LifePolynomials are everywhere. It is found in a roller coaster of an amusement park, the slope of a hill, the curve of a bridge or the continuity of a mountain range. They play a key role in the study of algebra, in analysis and on the whole many mathematical problems involving them.Based on the given information, answer the following question:If the roller coaster is represented by the following graph y=p(x) , then name the type of the polynomial it traces.

Answer»

Polynomials in Real Life

Polynomials are everywhere. It is found in a roller coaster of an amusement park, the slope of a hill, the curve of a bridge or the continuity of a mountain range. They play a key role in the study of algebra, in analysis and on the whole many mathematical problems involving them.

Based on the given information, answer the following question:

If the roller coaster is represented by the following graph $y = p (x)$ , then name the type of the polynomial it traces.

Discussion

6893.	If (x+y)-1(x-1+y-1)= xp yq, then p+q is equal to
Answer» If (x+y)^-1(x^-1+y^-1)= x^p y^q, then p+q is equal to

Discussion

6894.	Susan drinks 45 L of milk in 1 day.In 4 days, she drinks of milk.
Answer» $Susan drinks \frac{4}{5} L of milk in 1 day.$ In 4 days, she drinks of milk.

Discussion

6895.	The time taken to travel 30km upstream and 44 km downstream is 14 hr. If the distance covered in upstream is doubled and distance covered in downstream is increased by 11km, then total time taken is 11hr more than earlier. Find the speed of the stream and speed of the boat.
Answer» The time taken to travel 30km upstream and 44 km downstream is 14 hr. If the distance covered in upstream is doubled and distance covered in downstream is increased by 11km, then total time taken is 11hr more than earlier. Find the speed of the stream and speed of the boat.

Discussion

6896.	ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD (See the given figure). Then,
Answer» ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD (See the given figure). Then,

Discussion

6897.	Question 2 (ii)Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial:x2+3x+1,3x4+5x3−7x2+2x+2
Answer» Question 2 (ii) Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: $x^{2} + 3 x + 1, 3 x^{4} + 5 x^{3} - 7 x^{2} + 2 x + 2$

6897.

Question 2 (ii)Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial:x2+3x+1,3x4+5x3−7x2+2x+2

Answer»

Question 2 (ii)

Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial:

$x^{2} + 3 x + 1, 3 x^{4} + 5 x^{3} - 7 x^{2} + 2 x + 2$

Discussion

6898.	The decimal expansion of pi is:
Answer» The decimal expansion of pi is:

Discussion

6899.	Question 50If x and y are in direct proportion, then (x-1) and (y-1) are also in direct proportion.
Answer» Question 50 If x and y are in direct proportion, then (x-1) and (y-1) are also in direct proportion.

6899.

Question 50If x and y are in direct proportion, then (x-1) and (y-1) are also in direct proportion.

Answer»

Question 50

If x and y are in direct proportion, then (x-1) and (y-1) are also in direct proportion.

Discussion

6900.	Find a quadratic polynomial whose zeroes exceed the zeroes of x^2+5x+6 by 2 .
Answer» Find a quadratic polynomial whose zeroes exceed the zeroes of x^2+5x+6 by 2 .

Discussion

Explore topic-wise InterviewSolutions in .

Multiply and reduce to lowest form and convert into a mixed fraction:11×47

The vector a→+b→ bisects the angle between the non-collinear vectors a→ and b→, if ___________.

Simplify the following: √3×12×24×6

Question 1The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.

In the given figure, l || m and a transversal t cuts them. If ∠1 = 120°, find the measure of each of the remaining marked angles.

Select the pair that has the same relationship as the original pair of words / numbers : Part : Whole : Arc : ______

Question 9Two congruent circles intersect each other at points A and B. Through A any line segment PAQ is drawn so that P, Q lie on the two circles. Prove that BP = BQ.

Find the slope of a line which is parallel to the x-axis.

Construct a triangle of sides 4 cm, 5 cm and 6 cm and then a triangle similar to it whose sides are 23 of the corresponding sides of the first triangle.

Which statement is true for the sentence? Her shrieks were louder than the combined sound of fifty foghorns.

If 14.287628762876........ can be represented in pq form, then 'p - q ' is ________.

(A−B)∩(C−B)=

The base of a right triangle is 48 cm and its hypotenuse is 50 cm long.The area of the triangle is(a) 168 cm2 (b) 252 cm2 (c) 336 cm2 (d) 504 cm2

Consider a triangle with perimeter 2 units and sides a,b and c. Then the range of ab+bc+ca-abc is_________.

Find the area of the triangle whose sides are 42 cm, 34 cm and 20 cm. Also, find the height corresponding to the longest side.

Question 8Water is flowing at the rate of 15 km/h through a pipe of diameter 14 cm into a cuboidal pond which is 50 m long and 44 m wide. In what time will the level of water in pond rise by 21 cm?

32a3 + 108b3

Integration of 5/√5x dx

ΔABC is an isosceles right triangle right-angled at A. If AB = 4 cm, then its area is _________.

If one angle of a parallelogram is 24° less than twice the smallest angle, then the measure of the largest angle of the parallelogram is(a) 176°(b) 68°(c) 112°(d) 102°

a quadratic polynomial whose zeros are root2 and root6/2 are [where k is non zero constant]

The perimeter of one face of a cube is 40 cm. The volume of the cube is _________.

Factorize:x(x-2)(x-4) + 4x -8

What is a non-zero polynomial with degree zero called?

In Fig. 65, if AB || CE, then the values of x and y are(a) x = 26, y = 144(b) x = 36, y = 154(c) x = 154, y = 36(d) x = 144, y = 26

A die was rolled 100 times and the number of times, 6 came up was noted. If the experimental probability calculated from this information is 25, then how many times 6 came up? Justify your answer.

Factorize: x2+2√3x−24

If x=√a sinα and y=√a cosα, find the value of y2+x2. __

Line AB || CD and transversal XY meets AB at M and CD at N. If ∠AMX=x and ∠CNX=2x−60, then x= .

Lines PQ and RS intersect at O, forming the angles as shown in the figure. If a = 35o, the values of b and d are

If 630^°

If a point A(0, 2) is equidistant from the points B(3, p) and C(p, 5), then find the value of p. [CBSE 2012, 2013]

Question 3If the point (3,4) lies on the graph of the equation 3y=ax+7, find the value of a.

The approximate value of (7.995)13 correct to four decimal places is

9. If A , B , C , D , E and F are five coplanar points then vector DA + DB + DC + AE + BE + CE in terms of vector DE is _______.

Find the zeroes of the quadratic polynomial f(x)= x^2/a + b/ac * -x/b -1/c

if x&gt;0 and x^2+1/9x^2 =25/36, find:x^3+1/27x^3.

Question 3The diameter of a sphere is decreased by 25%. By what percent does its curved surface area decrease?

if x=3+(5^2), find the value of x^4+12(x^3)+44(x^2)-48x+17

The bisectors of base angles of a triangle cannot enclose a right angle in any case.

If (x+y)-1(x-1+y-1)= xp yq, then p+q is equal to

Susan drinks 45 L of milk in 1 day.In 4 days, she drinks of milk.

The time taken to travel 30km upstream and 44 km downstream is 14 hr. If the distance covered in upstream is doubled and distance covered in downstream is increased by 11km, then total time taken is 11hr more than earlier. Find the speed of the stream and speed of the boat.

ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD (See the given figure). Then,

Question 2 (ii)Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial:x2+3x+1,3x4+5x3−7x2+2x+2

The decimal expansion of pi is:

Question 50If x and y are in direct proportion, then (x-1) and (y-1) are also in direct proportion.

Find a quadratic polynomial whose zeroes exceed the zeroes of x^2+5x+6 by 2 .

if x>0 and x^2+1/9x^2 =25/36, find:x^3+1/27x^3.