25365 + Interview Questions in Mathematics Page 157 InterviewSolution

7801.	Question 44 The multiplicative inverse of 43 is ___
Answer» Question 44 The multiplicative inverse of $\frac{4}{3}$ is ___

Discussion

7802.	Factorise (a+b)3+(a-b)3+6a(a2-b2)
Answer» Factorise (a+b)³+(a-b)3+6a(a²-b²⁾

7802.

Factorise (a+b)3+(a-b)3+6a(a2-b2)

Answer»

Factorise

(a+b)³+(a-b)3+6a(a²-b²⁾

Discussion

7803.	The diagonal of a quadrilateral shaped field is 24m and the perpendiculars dropped on it from the remaining opposite vertices are 8m and 12m. Find the area of the field in m2.
Answer» The diagonal of a quadrilateral shaped field is 24m and the perpendiculars dropped on it from the remaining opposite vertices are 8m and 12m. Find the area of the field in $m^{2}$ .

Discussion

7804.	On increasing the salary of a man by 25%, it becomes ₹20,000. What was his original salary?(a) ₹15000(b) ₹16000(c) ₹18000(d) ₹25000
Answer» On increasing the salary of a man by 25%, it becomes ₹20,000. What was his original salary? (a) ₹15000 (b) ₹16000 (c) ₹18000 (d) ₹25000

Discussion

7805.	Factorise : 6xy(a2+b2)+8yz(a2+b2)−10xz(a2+b2)
Answer» Factorise : $6 x y (a^{2} + b^{2}) + 8 y z (a^{2} + b^{2}) - 10 x z (a^{2} + b^{2})$

7805.

Factorise : 6xy(a2+b2)+8yz(a2+b2)−10xz(a2+b2)

Answer»

Factorise :

$6 x y (a^{2} + b^{2}) + 8 y z (a^{2} + b^{2}) - 10 x z (a^{2} + b^{2})$

Discussion

7806.	Question 73A bicycle wheel makes 500 revolutions in moving 1 km. Find the diameter of the wheel.
Answer» Question 73 A bicycle wheel makes 500 revolutions in moving 1 km. Find the diameter of the wheel.

7806.

Question 73A bicycle wheel makes 500 revolutions in moving 1 km. Find the diameter of the wheel.

Answer»

Question 73

A bicycle wheel makes 500 revolutions in moving 1 km. Find the diameter of the wheel.

Discussion

7807.

Suresh, Kanpur commenced business on 1st January, 2019 introducing capital in cash ₹ 1,00,000. His other transactions during the month were as follows: 2019 ₹ Jan 1 Started business with cash 1,00,000 Jan 2 Bought goods for cash 20,000 Jan 3 Sold goods for cash 7,000 Jan 15 Sold goods to Shravan, Delhi 6,000 Jan 18 Bought goods on credit from Anurag, Kanpur 50,000 Jan 19 Goods returned to Anurag 5,000 Jan 20 Sold goods for cash 30,000 Jan 22 Paid electricity bill 1,000 Jan 28 Paid for telephone bill 500 Jan 29 Paid rent 800 Jan 31 Paid wages 3000 Enter the above transactions in his books of account.

Answer» Suresh, Kanpur commenced business on 1st January, 2019 introducing capital in cash ₹ 1,00,000. His other transactions during the month were as follows:


2019		₹
Jan 1	Started business with cash	1,00,000
Jan 2	Bought goods for cash	20,000
Jan 3	Sold goods for cash	7,000
Jan 15	Sold goods to Shravan, Delhi	6,000
Jan 18	Bought goods on credit from Anurag, Kanpur	50,000
Jan 19	Goods returned to Anurag	5,000
Jan 20	Sold goods for cash	30,000
Jan 22	Paid electricity bill	1,000
Jan 28	Paid for telephone bill	500
Jan 29	Paid rent	800
Jan 31	Paid wages	3000

Enter the above transactions in his books of account.

Discussion

7808.	In the given polyhedron find how many faces meets at point A and point B. [2 MARKS]
Answer» In the given polyhedron find how many faces meets at point A and point B. [2 MARKS]

7808.

In the given polyhedron find how many faces meets at point A and point B. [2 MARKS]

Answer»

In the given polyhedron find how many faces meets at point A and point B. [2 MARKS]

Discussion

7809.	Let x be a natural number . When 5 divide by x,leaves remainder 3.what can be one's digit!
Answer» Let x be a natural number . When 5 divide by x,leaves remainder 3.what can be one's digit!

Discussion

7810.	Question 84 (ii)Simplify(3x+2y)2−(3x−2y)2
Answer» Question 84 (ii) Simplify $(3 x + 2 y)^{2} - (3 x - 2 y)^{2}$

7810.

Question 84 (ii)Simplify(3x+2y)2−(3x−2y)2

Answer»

Question 84 (ii)

Simplify

$(3 x + 2 y)^{2} - (3 x - 2 y)^{2}$

Discussion

7811.	If x and y are rational numbers then,show that x2-y2 are also rational numbers
Answer» If x and y are rational numbers then,show that x2-y2 are also rational numbers

Discussion

7812.	Can you imitate the case of the identity (x + a) (x + b) = x2 + (a + b) x + ab, and get a similar expression for the product (x + a) (x + b) (x + c)?
Answer» Can you imitate the case of the identity (x + a) (x + b) = x² + (a + b) x + ab, and get a similar expression for the product (x + a) (x + b) (x + c)?

Discussion

7813.	Standing at 5 cm apart from a vertical pole of height 3 cm, Sudha observed a building at the back of the piller that tip of the pillar is in line with the top of the building. If the distance between pillar and building is 10 cm, estimate the height of the building. [Here height of Sudha is neglected]
Answer» Standing at 5 cm apart from a vertical pole of height 3 cm, Sudha observed a building at the back of the piller that tip of the pillar is in line with the top of the building. If the distance between pillar and building is 10 cm, estimate the height of the building. [Here height of Sudha is neglected]

Discussion

7814.	The price of food items increased by 20% due to inflation. If the original price of food items were ₹350, then the increased price of the food items is ₹______.420
Answer» The price of food items increased by 20% due to inflation. If the original price of food items were ₹350, then the increased price of the food items is ₹______. 420

Discussion

7815.	6x^2-x-2=
Answer» 6x^2-x-2=

Discussion

7816.	Find the missing number?
Answer» Find the missing number?

7816.

Find the missing number?

Answer»

Find the missing number?

Discussion

7817.	find the number of factors of polynomial f(x)=x^9-x
Answer» find the number of factors of polynomial f(x)=x^9-x

Discussion

7818.	A sum of $12500 is invested at 6% pa compounded annually for 2 and a half year find the amount at the end of 2 and a half year.
Answer» A sum of $12500 is invested at 6% pa compounded annually for 2 and a half year find the amount at the end of 2 and a half year.

Discussion

7819.	Is rectangle a square explain
Answer» Is rectangle a square explain

Discussion

7820.	The sum of the digits of a two digit number is 15. If the number formed by reversing the digits is less than the original number by 27, then find the original number.
Answer» The sum of the digits of a two digit number is 15. If the number formed by reversing the digits is less than the original number by 27, then find the original number.

Discussion

7821.	Two triangles have equal area of 24cm2 and stand on the same base of 6 cm, if the distance PQ (on base) between their altitudes is equal to the length of one of the altitude. Then the area of quadrilateral formed by the altitudes and the base PQ is equal to:
Answer» Two triangles have equal area of $24 c m^{2}$ and stand on the same base of 6 cm, if the distance PQ (on base) between their altitudes is equal to the length of one of the altitude. Then the area of quadrilateral formed by the altitudes and the base PQ is equal to:

Discussion

7822.	9. Prove that any positive integer in the form 4q or 4q+2 is a positive even integer
Answer» 9. Prove that any positive integer in the form 4q or 4q+2 is a positive even integer

Discussion

7823.	The cost of 12 quintals of soyabean is 36,000 rupees. How much will 8 quintals cost?
Answer» The cost of 12 quintals of soyabean is 36,000 rupees. How much will 8 quintals cost?

Discussion

7824.	Sara draws a square of side length 2 inch and she rescaled it by a scale factor such that side length of new square becomes 3 inch.What is the scale factor?
Answer» Sara draws a square of side length $2$ inch and she rescaled it by a scale factor such that side length of new square becomes $3$ inch. What is the scale factor?

Discussion

7825.	Question 1 (i)Fill in the blanks using the correct word in the given bracket.(i) All circles are___. (congruent, similar)
Answer» Question 1 (i) Fill in the blanks using the correct word in the given bracket. (i) All circles are___. (congruent, similar)

Discussion

7826.	Area of a rectangle is 40 cm2. If its breadth is 10 cm then its length will be:
Answer» Area of a rectangle is 40 cm². If its breadth is 10 cm then its length will be:

Discussion

7827.	What is the value of y in the following figure?
Answer» What is the value of y in the following figure?

Discussion

7828.	Which of the following methods are correct to find area of the hexagon?
Answer» Which of the following methods are correct to find area of the hexagon?

7828.

Which of the following methods are correct to find area of the hexagon?

Answer»

Which of the following methods are correct to find area of the hexagon?

Discussion

7829.	Find these products on your own: (i) (x + 3y) (2a − b) (ii) (3x + 5y) (3m − 2n) (iii) (2r − 3s) (t − u) (iv) (a − b) (4x − 3y) (v) (3a − 5b) (2c − d) (vi) (2p + 5q) (3r − 4s)
Answer» Find these products on your own: (i) (x + 3y) (2a − b) (ii) (3x + 5y) (3m − 2n) (iii) (2r − 3s) (t − u) (iv) (a − b) (4x − 3y) (v) (3a − 5b) (2c − d) (vi) (2p + 5q) (3r − 4s)

7829.

Find these products on your own: (i) (x + 3y) (2a − b) (ii) (3x + 5y) (3m − 2n) (iii) (2r − 3s) (t − u) (iv) (a − b) (4x − 3y) (v) (3a − 5b) (2c − d) (vi) (2p + 5q) (3r − 4s)

Answer»

Find these products on your own:

(i) (x + 3y) (2a − b)

(ii) (3x + 5y) (3m − 2n)

(iii) (2r − 3s) (t − u)

(iv) (a − b) (4x − 3y)

(v) (3a − 5b) (2c − d)

(vi) (2p + 5q) (3r − 4s)

Discussion

7830.	Divide 15y4+16y3+103y−9y2−6 by 3y - 2. Write down the co-efficients of the terms in the quotient.
Answer» Divide $15 y^{4} + 16 y^{3} + \frac{10}{3} y - 9 y^{2} - 6$ by 3y - 2. Write down the co-efficients of the terms in the quotient.

Discussion

7831.	In the given figure, ∠AOC and ∠BOC form a linear pair. Determine the value of x.
Answer» In the given figure, $∠ A O C a n d ∠ B O C$ form a linear pair. Determine the value of x.

Discussion

7832.	2x-1/3+1=3x-4/4
Answer» 2x-1/3+1=3x-4/4

Discussion

7833.	Simplify: (i) √59.29−√5.29√59.29+√5.29 (ii) √0.2304+√0.1764√0.2304−√0.1764
Answer» Simplify: (i) $\frac{\sqrt{59.29} - \sqrt{5.29}}{\sqrt{59.29} + \sqrt{5.29}}$ (ii) $\frac{\sqrt{0.2304} + \sqrt{0.1764}}{\sqrt{0.2304} - \sqrt{0.1764}}$

7833.

Simplify: (i) √59.29−√5.29√59.29+√5.29 (ii) √0.2304+√0.1764√0.2304−√0.1764

Answer»

Simplify:

(i) $\frac{\sqrt{59.29} - \sqrt{5.29}}{\sqrt{59.29} + \sqrt{5.29}}$
(ii) $\frac{\sqrt{0.2304} + \sqrt{0.1764}}{\sqrt{0.2304} - \sqrt{0.1764}}$

Discussion

7834.	Question 1(i)Find the common factors of the given terms.12x,36
Answer» Question 1(i) Find the common factors of the given terms. $12 x, 36$

Discussion

7835.	Kink is only made in histogram only not in other type of graph ?
Answer» Kink is only made in histogram only not in other type of graph ?

Discussion

7836.	If x = 30% of 30, then x2+4x+7= _____.
Answer» If x = 30% of 30, then $x^{2} + 4 x + 7 =$ _____.

Discussion

7837.	Lengths of the diagonals of a rhombus are 10 units and (7x + 3) units. If its area is 120 cm2, find x.3
Answer» Lengths of the diagonals of a rhombus are 10 units and (7x + 3) units. If its area is $120 c m^{2}$ , find x. 3

Discussion

7838.	61. Represent 1/4 in the number line
Answer» 61. Represent 1/4 in the number line

Discussion

7839.	simplify: 2 root over 3-root over 5 divided by 2 root over 2+3 root over 3
Answer» simplify: 2 root over 3-root over 5 divided by 2 root over 2+3 root over 3

Discussion

7840.	The value of 3√−84 is _____.
Answer» The value of $\frac{\sqrt[3]{- 8}}{4}$ is _____.

Discussion

7841.	In the multiplication table A8 × 3B = 2730, A and B represent distinct digits different from 0. Find A + B.
Answer» In the multiplication table A8 × 3B = 2730, A and B represent distinct digits different from 0. Find A + B.

Discussion

7842.	Question 4 Construct the Rhombus BEST where BE = 4.5 cm, ET = 6 cm
Answer» Question 4 Construct the Rhombus BEST where BE = 4.5 cm, ET = 6 cm

Discussion

7843.	Examine the validity of the statements.(a) All triangular numbers are odd numbers.(b) All odd numbers are triangular numbers.(c) All square numbers are even.
Answer» Examine the validity of the statements. (a) All triangular numbers are odd numbers. (b) All odd numbers are triangular numbers. (c) All square numbers are even.

Discussion

7844.	The number of perfect squares from 1 to 500 is: A. 1 B. 16 C. 22 D. 25
Answer» The number of perfect squares from 1 to 500 is: A. 1 B. 16 C. 22 D. 25

7844.

The number of perfect squares from 1 to 500 is: A. 1 B. 16 C. 22 D. 25

Answer»

The number of perfect squares from 1 to 500 is:

A. 1

B. 16

C. 22

D. 25

Discussion

7845.	Find the area of the circle, length of whose circumference is equal to the sum of the lengths of the circumferences with radii 15 cm and 13 cm.
Answer» Find the area of the circle, length of whose circumference is equal to the sum of the lengths of the circumferences with radii 15 cm and 13 cm.

Discussion

7846.	How many selections of 3 letters can be made out of letters of word EMCOT?
Answer» How many selections of $3$ letters can be made out of letters of word $EMCOT$ ?

Discussion

7847.	Integrate {x+1/ (x^2+1)(x-2) } dXIntegrate {x^3+1/(x+2)(x^2+1)} dxIntegrate {x^2+2/(x+1)(x+3)} dx
Answer» Integrate {x+1/ (x^2+1)(x-2) } dX Integrate {x^3+1/(x+2)(x^2+1)} dx Integrate {x^2+2/(x+1)(x+3)} dx

Discussion

7848.	Question 14The multiplicative inverse of −117 is(a) 87(b) −87(c) 78(d) −78
Answer» Question 14 The multiplicative inverse of $- 1 \frac{1}{7}$ is (a) $\frac{8}{7}$ (b) $\frac{- 8}{7}$ (c) $\frac{7}{8}$ (d) $\frac{- 7}{8}$

Discussion

7849.	Thedenominator of a rational number is greater than its numerator by 8.If the numerator is increased by 17 and the denominator is decreasedby 1, the number obtained is.Find the rational number.
Answer» The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is. Find the rational number.

Discussion

7850.	What is drawn in the first step in constructing a quadrilateral for which 2 sides and 3 angles are known?
Answer» What is drawn in the first step in constructing a quadrilateral for which 2 sides and 3 angles are known?

Discussion

Explore topic-wise InterviewSolutions in .

Question 44 The multiplicative inverse of 43 is ___

Factorise (a+b)3+(a-b)3+6a(a2-b2)

The diagonal of a quadrilateral shaped field is 24m and the perpendiculars dropped on it from the remaining opposite vertices are 8m and 12m. Find the area of the field in m2.

On increasing the salary of a man by 25%, it becomes ₹20,000. What was his original salary?(a) ₹15000(b) ₹16000(c) ₹18000(d) ₹25000

Factorise : 6xy(a2+b2)+8yz(a2+b2)−10xz(a2+b2)

Question 73A bicycle wheel makes 500 revolutions in moving 1 km. Find the diameter of the wheel.

In the given polyhedron find how many faces meets at point A and point B. [2 MARKS]

Let x be a natural number . When 5 divide by x,leaves remainder 3.what can be one's digit! ​​​​​​

Question 84 (ii)Simplify(3x+2y)2−(3x−2y)2

If x and y are rational numbers then,show that x2-y2 are also rational numbers

Can you imitate the case of the identity (x + a) (x + b) = x2 + (a + b) x + ab, and get a similar expression for the product (x + a) (x + b) (x + c)?

The price of food items increased by 20% due to inflation. If the original price of food items were ₹350, then the increased price of the food items is ₹______.420

6x^2-x-2=

Find the missing number?

find the number of factors of polynomial f(x)=x^9-x

A sum of $12500 is invested at 6% pa compounded annually for 2 and a half year find the amount at the end of 2 and a half year.

Is rectangle a square explain

The sum of the digits of a two digit number is 15. If the number formed by reversing the digits is less than the original number by 27, then find the original number.

Two triangles have equal area of 24cm2 and stand on the same base of 6 cm, if the distance PQ (on base) between their altitudes is equal to the length of one of the altitude. Then the area of quadrilateral formed by the altitudes and the base PQ is equal to:

9. Prove that any positive integer in the form 4q or 4q+2 is a positive even integer

The cost of 12 quintals of soyabean is 36,000 rupees. How much will 8 quintals cost?

Sara draws a square of side length 2 inch and she rescaled it by a scale factor such that side length of new square becomes 3 inch.What is the scale factor?

Question 1 (i)Fill in the blanks using the correct word in the given bracket.(i) All circles are___. (congruent, similar)

Area of a rectangle is 40 cm2. If its breadth is 10 cm then its length will be:

What is the value of y in the following figure?

Which of the following methods are correct to find area of the hexagon?

Find these products on your own: (i) (x + 3y) (2a − b) (ii) (3x + 5y) (3m − 2n) (iii) (2r − 3s) (t − u) (iv) (a − b) (4x − 3y) (v) (3a − 5b) (2c − d) (vi) (2p + 5q) (3r − 4s)

Divide 15y4+16y3+103y−9y2−6 by 3y - 2. Write down the co-efficients of the terms in the quotient.

In the given figure, ∠AOC and ∠BOC form a linear pair. Determine the value of x.

2x-1/3+1=3x-4/4

Simplify: (i) √59.29−√5.29√59.29+√5.29 (ii) √0.2304+√0.1764√0.2304−√0.1764

Question 1(i)Find the common factors of the given terms.12x,36

Kink is only made in histogram only not in other type of graph ?

If x = 30% of 30, then x2+4x+7= _____.

Lengths of the diagonals of a rhombus are 10 units and (7x + 3) units. If its area is 120 cm2, find x.3

61. Represent 1/4 in the number line

simplify: 2 root over 3-root over 5 divided by 2 root over 2+3 root over 3

The value of 3√−84 is _____.

In the multiplication table A8 × 3B = 2730, A and B represent distinct digits different from 0. Find A + B.

Question 4 Construct the Rhombus BEST where BE = 4.5 cm, ET = 6 cm

Examine the validity of the statements.(a) All triangular numbers are odd numbers.(b) All odd numbers are triangular numbers.(c) All square numbers are even.

The number of perfect squares from 1 to 500 is: A. 1 B. 16 C. 22 D. 25

Find the area of the circle, length of whose circumference is equal to the sum of the lengths of the circumferences with radii 15 cm and 13 cm.

How many selections of 3 letters can be made out of letters of word EMCOT?

Integrate {x+1/ (x^2+1)(x-2) } dXIntegrate {x^3+1/(x+2)(x^2+1)} dxIntegrate {x^2+2/(x+1)(x+3)} dx

Question 14The multiplicative inverse of −117 is(a) 87(b) −87(c) 78(d) −78

Thedenominator of a rational number is greater than its numerator by 8.If the numerator is increased by 17 and the denominator is decreasedby 1, the number obtained is.Find the rational number.

What is drawn in the first step in constructing a quadrilateral for which 2 sides and 3 angles are known?

Let x be a natural number . When 5 divide by x,leaves remainder 3.what can be one's digit!