25365 + Interview Questions in Mathematics Page 123 InterviewSolution

6101.	Question 1A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?
Answer» Question 1 A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?

Discussion

6102.	Why and how any no. raised to 0 is always one ?
Answer» Why and how any no. raised to 0 is always one ?

Discussion

6103.	If n is an natural number, then which of the following formula gives the numbers between n2 and (n+1)2?
Answer» If n is an natural number, then which of the following formula gives the numbers between $n^{2}$ and $(n + 1)^{2}$ ?

Discussion

6104.	Find the multiplicative inverse of 47.
Answer» Find the multiplicative inverse of $\frac{4}{7}$ .

Discussion

6105.	The adjacent sides share common (side/vertex) and adjacent angles share common (side/vertex).
Answer» The adjacent sides share common (side/vertex) and adjacent angles share common (side/vertex).

Discussion

6106.	If lengths of three sides are given, then to construct a quadrilateral we need
Answer» If lengths of three sides are given, then to construct a quadrilateral we need

Discussion

6107.	The bar graph given below represents the favourite sports of 50 students.How many students have Tennis or football as their favourite sport?
Answer» The bar graph given below represents the favourite sports of 50 students. How many students have Tennis or football as their favourite sport?

Discussion

6108.	The area of the hexagon, if AB = BC = CD = DE = EF = FA = 13cm and AO = PD = 5cm, is ___ cm2
Answer» The area of the hexagon, if AB = BC = CD = DE = EF = FA = 13cm and AO = PD = 5cm, is ___ $c m^{2}$

6108.

The area of the hexagon, if AB = BC = CD = DE = EF = FA = 13cm and AO = PD = 5cm, is ___ cm2

Answer»

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

Discussion

6109.	Draw roughdiagrams of two angles such that they have(a) Onepoint in common.(b) Twopoints in common.(c) Threepoints in common.(d) Fourpoints in common.(e) Oneray in common.
Answer» Draw rough diagrams of two angles such that they have (a) One point in common. (b) Two points in common. (c) Three points in common. (d) Four points in common. (e) One ray in common.

6109.

Draw roughdiagrams of two angles such that they have(a) Onepoint in common.(b) Twopoints in common.(c) Threepoints in common.(d) Fourpoints in common.(e) Oneray in common.

Answer»

Draw rough
diagrams of two angles such that they have

(a) One
point in common.

(b) Two
points in common.

(c) Three
points in common.

(d) Four
points in common.

(e) One
ray in common.

Discussion

6110.	Multiply x3+10x2−2 by (x +1)
Answer» Multiply $x^{3} + 10 x^{2} - 2$ by (x +1)

Discussion

6111.	what is binomial theoram?
Answer» what is binomial theoram?

Discussion

6112.	Calculate the compound interest on ₹ 15,000 in 3 years; if the rates of interest for successive years be 6%, 8%, and 10%, respectively.
Answer» Calculate the compound interest on ₹ 15,000 in 3 years; if the rates of interest for successive years be 6%, 8%, and 10%, respectively.

Discussion

6113.	If Euclid's division Lemma is applied on two positive integers m and n such that there exists unique integers s and r such that m=ns+r, then find the condition for r .
Answer» If Euclid's division Lemma is applied on two positive integers m and n such that there exists unique integers s and r such that m=ns+r, then find the condition for r .

Discussion

6114.	The population of a town increases at a certain rate per annum. The present population of the town is 3600. If the population after 5 years is 4800, then find the population after 10 years?
Answer» The population of a town increases at a certain rate per annum. The present population of the town is 3600. If the population after 5 years is 4800, then find the population after 10 years?

Discussion

6115.	Question 51State whether the following statement is true or false:The product of two perfect squares is a perfect square.
Answer» Question 51 State whether the following statement is true or false: The product of two perfect squares is a perfect square.

6115.

Question 51State whether the following statement is true or false:The product of two perfect squares is a perfect square.

Answer»

Question 51

State whether the following statement is true or false:

The product of two perfect squares is a perfect square.

Discussion

6116.	Find the CI on ₹ 10,000 for 3 years at 10% per annum compounded annually.
Answer» Find the CI on ₹ 10,000 for 3 years at $10 %$ per annum compounded annually.

Discussion

6117.	Question 66 State whether the following statement is true or false: All numbers of a Pythagorean triplet are odd.
Answer» Question 66 State whether the following statement is true or false: All numbers of a Pythagorean triplet are odd.

6117.

Question 66 State whether the following statement is true or false: All numbers of a Pythagorean triplet are odd.

Answer»

Question 66

State whether the following statement is true or false:

All numbers of a Pythagorean triplet are odd.

Discussion

6118.	9a2−125a+425 can be expressed as ____.
Answer» $9 a^{2} - \frac{12}{5} a + \frac{4}{25}$ can be expressed as ____.

Discussion

6119.	Construct a rectangle ABCD whose one side BC = 4.5 cm and diagonal AC = 6 cm.
Answer» Construct a rectangle ABCD whose one side BC = 4.5 cm and diagonal AC = 6 cm.

Discussion

6120.	Question 1 (i)What will be the unit digit of the squares of the following number:81
Answer» Question 1 (i) What will be the unit digit of the squares of the following number: 81

6120.

Question 1 (i)What will be the unit digit of the squares of the following number:81

Answer»

Question 1 (i)

What will be the unit digit of the squares of the following number:

81

Discussion

6121.	If a : b = 2 : 5, find the value of 3a+2b4a+b.
Answer» If a : b = 2 : 5, find the value of $\frac{3 a + 2 b}{4 a + b}$ .

Discussion

6122.	State whether the following statement is true or false: While stating that two triangles are congruent using a congruence statement, the order of the vertices is very important.
Answer» State whether the following statement is true or false: While stating that two triangles are congruent using a congruence statement, the order of the vertices is very important.

Discussion

6123.	Curved surface area of a cylinder of radius r and height h is:
Answer» Curved surface area of a cylinder of radius r and height h is:

Discussion

6124.	Find the equation of a line which is parallel to x-axis and has y-intercept as -3.
Answer» Find the equation of a line which is parallel to $x$ -axis and has $y$ -intercept as -3.

Discussion

6125.	A rhombus shaped field has green grass for 18 cows to graze. If each side of the rhombus is 30 m and its longer diagonal is 48 m, how much area of grass field will each cow be getting?
Answer» A rhombus shaped field has green grass for 18 cows to graze. If each side of the rhombus is 30 m and its longer diagonal is 48 m, how much area of grass field will each cow be getting?

Discussion

6126.	FIND THE THREE CONSECUTIVE ODD NUMBERS WHOSE SUM OF THE SQUARES ARE 155
Answer» FIND THE THREE CONSECUTIVE ODD NUMBERS WHOSE SUM OF THE SQUARES ARE 155

Discussion

6127.	What is significant digit of 6.02×10^23 Is it 3 or 26 ?
Answer» What is significant digit of 6.02×10^23 Is it 3 or 26 ?

Discussion

6128.	Choose the correct front, side or top view of a cone.
Answer» Choose the correct front, side or top view of a cone.

Discussion

6129.	Area of a sector of circle of radius 12 cm and subtending an angle of 60∘ at the centre is cm2.
Answer» Area of a sector of circle of radius 12 cm and subtending an angle of 60 $^{\circ}$ at the centre is $c m^{2}$ .

Discussion

6130.	The diameter of the Sun is 4 × 109 m and the diameter of the sodium atom is 3 × 10−10 m. Find the ratio of diameter of the Sun to the diameter of the sodium atom.
Answer» The diameter of the Sun is 4 × $10^{9}$ m and the diameter of the sodium atom is 3 × $10^{- 10}$ m. Find the ratio of diameter of the Sun to the diameter of the sodium atom.

Discussion

6131.	Observe the following pattern and find the missing digits.112 = 1211012 = 1020110012 = 10020011000012 = 1…2…1100000012 = …
Answer» Observe the following pattern and find the missing digits. 11² = 121 101² = 10201 1001² = 1002001 100001² = 1…2…1 10000001² = …

6131.

Observe the following pattern and find the missing digits.112 = 1211012 = 1020110012 = 10020011000012 = 1…2…1100000012 = …

Answer»

Observe the following pattern and find the missing digits.

11² = 121

101² = 10201

1001² = 1002001

100001² = 1…2…1

10000001² = …

Discussion

6132.	Area of a parallelogram is 83.2 sq cm. If its height is 6.4 cm, find the length of its base.
Answer» Area of a parallelogram is 83.2 sq cm. If its height is 6.4 cm, find the length of its base.

Discussion

6133.	If 5Pr = 5! find r.
Answer» If ⁵P_r = 5! find r.

Discussion

6134.	A microwave oven was available for RS 5301 after successive discounts of 10% and 5%. Find the marked price.
Answer» A microwave oven was available for RS 5301 after successive discounts of 10% and 5%. Find the marked price.

Discussion

6135.	Question 127 State whether the statements are True or False. A quadrilateral can be drawn, if three sides and two diagonals are given.
Answer» Question 127 State whether the statements are True or False. A quadrilateral can be drawn, if three sides and two diagonals are given.

Discussion

6136.	The area of an equilateral triangle is numerically equal to its perimeter. Find its perimeter correct to 2 decimal places.
Answer» The area of an equilateral triangle is numerically equal to its perimeter. Find its perimeter correct to 2 decimal places.

Discussion

6137.	Question 4(ii)Simplify:(2x+5)2−(2x−5)2
Answer» Question 4(ii) Simplify: $(2 x + 5)^{2} - (2 x - 5)^{2}$

Discussion

6138.	If LM ∥ AB, AL=x-3, AC=2x, BM=x-2, BC=2x+3. What is value of AC? ___
Answer» If LM $∥$ AB, AL=x-3, AC=2x, BM=x-2, BC=2x+3. What is value of AC? ___

6138.

If LM ∥ AB, AL=x-3, AC=2x, BM=x-2, BC=2x+3. What is value of AC? ___

Answer»

If LM $∥$ AB, AL=x-3, AC=2x, BM=x-2, BC=2x+3. What is value of AC?

___

Discussion

6139.	149600 is expressed as 1.496×10aFind the value of a.5
Answer» $149600 is expressed as 1.496 \times 10^{a}$ Find the value of a. 5

Discussion

6140.	(x3−2x2+5x−7)(2x−3)
Answer» $(x^{3} - 2 x^{2} + 5 x - 7) (2 x - 3)$

Discussion

6141.	Factorise: 3x2+10x+8
Answer» Factorise: $3 x^{2} + 10 x + 8$

6141.

Factorise: 3x2+10x+8

Answer»

Factorise:

$3 x^{2} + 10 x + 8$

Discussion

6142.	Factorise the given quadratic equationx2+5x+6=0.
Answer» Factorise the given quadratic equation $x^{2} + 5 x + 6 = 0.$

Discussion

6143.	Calculate the median salary of the following data giving salaries of 280 persons: Salary (in thousands)5−1010−1515−2020−2525−3030−3535−4040−4545−50Number of persons49133631567421
Answer» Calculate the median salary of the following data giving salaries of $280$ persons: $\begin{matrix} Salary (in thousands) & 5 - 10 & 10 - 15 & 15 - 20 & 20 - 25 & 25 - 30 & 30 - 35 & 35 - 40 & 40 - 45 & 45 - 50 Number of persons & 49 & 133 & 63 & 15 & 6 & 7 & 4 & 2 & 1 \end{matrix}$

6143.

Calculate the median salary of the following data giving salaries of 280 persons: Salary (in thousands)5−1010−1515−2020−2525−3030−3535−4040−4545−50Number of persons49133631567421

Answer»

Calculate the median salary of the following data giving salaries of $280$ persons:

$\begin{matrix} Salary (in thousands) & 5 - 10 & 10 - 15 & 15 - 20 & 20 - 25 & 25 - 30 & 30 - 35 & 35 - 40 & 40 - 45 & 45 - 50 Number of persons & 49 & 133 & 63 & 15 & 6 & 7 & 4 & 2 & 1 \end{matrix}$

Discussion

6144.	Add the following: (i) 5a2b2+10ab−12a2+15b−20 and 34ab+24a2+22b+24 (ii) abc+6bcd+abd−9ab+4bc−9a−43 and 4acd+10ac−54b−32c (iii) 5bc+9ad−3c−12 and 24−5c−5b+2ab
Answer» Add the following: $(i) 5 a^{2} b^{2} + 10 a b - 12 a^{2} + 15 b - 20$ and $34 a b + 24 a^{2} + 22 b + 24$ $(i i) a b c + 6 b c d + a b d - 9 a b + 4 b c - 9 a - 43$ and $4 a c d + 10 a c - 54 b - 32 c$ $(i i i) 5 b c + 9 a d - 3 c - 12$ and $24 - 5 c - 5 b + 2 a b$

Discussion

6145.

On 1st April, 2019, the following were Ledger balances of M/s. Ram & Co., Delhi:Cash in Hand ₹ 300; Cash at Bank ₹ 7,000; Bills Payable ₹ 1,000; Zahir (Dr.) ₹ 800; Stock ₹ 4,000; Gobind (Cr.) ₹ 2,000; Sharma (Dr.) ₹ 1,500; Rahul (Cr.) ₹ 900; Capital ₹ 9,700.Transactions during the month of April, 2019 were: 2019 ₹ April 2 Bought goods from Gobind, Delhi 900 April 3 Sold goods to Sharma, Kanpur 1,000 April 5 Bought goods from Rahul, Delhi 1,200 April 8 Sold goods to Zahir, Kolkata 500 April 15 Paid Gobind by cheque on account* 1,500 April 18 Received from Sharma a cheque of 2,000 Allowed him discount* 50 April 20 Sold goods to Sharma, Kanpur 800 April 20 Paid rent by cheque 200 April 25 Sold goods to Zahir, Kolkata 1,000 April 30 Paid salaries in cash* 300 Inter-state transactions are subject to levy of IGST 12% and Intra-state transactions are subject to levy of CGST and SGST 6% each. GST is not levied on transactions marked with (*).Post the above transactions to the Ledger and prepare the Trial Balance on 30th April, 2019.[Trial Balance Total- ₹ 18,148]

Answer» On 1st April, 2019, the following were Ledger balances of M/s. Ram & Co., Delhi:

Cash in Hand ₹ 300; Cash at Bank ₹ 7,000; Bills Payable ₹ 1,000; Zahir (Dr.) ₹ 800; Stock ₹ 4,000; Gobind (Cr.) ₹ 2,000; Sharma (Dr.) ₹ 1,500; Rahul (Cr.) ₹ 900; Capital ₹ 9,700.

Transactions during the month of April, 2019 were:


2019		₹
April 2	Bought goods from Gobind, Delhi	900
April 3	Sold goods to Sharma, Kanpur	1,000
April 5	Bought goods from Rahul, Delhi	1,200
April 8	Sold goods to Zahir, Kolkata	500
April 15	Paid Gobind by cheque on account*	1,500
April 18	Received from Sharma a cheque of	2,000
	Allowed him discount*	50
April 20	Sold goods to Sharma, Kanpur	800
April 20	Paid rent by cheque	200
April 25	Sold goods to Zahir, Kolkata	1,000
April 30	Paid salaries in cash*	300

Inter-state transactions are subject to levy of IGST 12% and Intra-state transactions are subject to levy of CGST and SGST 6% each. GST is not levied on transactions marked with (*).

Post the above transactions to the Ledger and prepare the Trial Balance on 30th April, 2019.

[Trial Balance Total

-

₹ 18,148]

Discussion

6146.	157×153=?
Answer» $\frac{1}{5^{7}} \times \frac{1}{5^{3}} = ?$

Discussion

6147.	Which is the smallest number that must be multiplied to 77175 to make it a perfect cube?
Answer» Which is the smallest number that must be multiplied to 77175 to make it a perfect cube?

Discussion

6148.	Factorise: ab(x2+y2)−xy(a2+b2)
Answer» Factorise: $a b (x^{2} + y^{2}) - x y (a^{2} + b^{2})$

Discussion

6149.

If n varies directly as m, complete the following table. m 3 5 6.5 ... 1.25 n 12 20 ... 28 ...

Answer» If n varies directly as m, complete the following table.

m	3	5	6.5	...	1.25
n	12	20	...	28	...

Discussion

6150.	Question 2A number of the form pq is said to be a rational number, if(a) p and q are integers.(b) p and q are integers and q ≠ 0(c) p and q are integers and p ≠ 0(d) p and q are integers and p ≠ 0 also q ≠ 0.
Answer» Question 2 A number of the form $\frac{p}{q}$ is said to be a rational number, if (a) p and q are integers. (b) p and q are integers and q ≠ 0 (c) p and q are integers and p ≠ 0 (d) p and q are integers and p ≠ 0 also q ≠ 0.

Discussion

Explore topic-wise InterviewSolutions in .

Question 1A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?

Why and how any no. raised to 0 is always one ?

If n is an natural number, then which of the following formula gives the numbers between n2 and (n+1)2?

Find the multiplicative inverse of 47.

The adjacent sides share common (side/vertex) and adjacent angles share common (side/vertex).

If lengths of three sides are given, then to construct a quadrilateral we need

The bar graph given below represents the favourite sports of 50 students.How many students have Tennis or football as their favourite sport?

The area of the hexagon, if AB = BC = CD = DE = EF = FA = 13cm and AO = PD = 5cm, is ___ cm2

Draw roughdiagrams of two angles such that they have(a) Onepoint in common.(b) Twopoints in common.(c) Threepoints in common.(d) Fourpoints in common.(e) Oneray in common.

Multiply x3+10x2−2 by (x +1)

what is binomial theoram?

Calculate the compound interest on ₹ 15,000 in 3 years; if the rates of interest for successive years be 6%, 8%, and 10%, respectively.

If Euclid's division Lemma is applied on two positive integers m and n such that there exists unique integers s and r such that m=ns+r, then find the condition for r .

The population of a town increases at a certain rate per annum. The present population of the town is 3600. If the population after 5 years is 4800, then find the population after 10 years?

Question 51State whether the following statement is true or false:The product of two perfect squares is a perfect square.

Find the CI on ₹ 10,000 for 3 years at 10% per annum compounded annually.

Question 66 State whether the following statement is true or false: All numbers of a Pythagorean triplet are odd.

9a2−125a+425 can be expressed as ____.

Construct a rectangle ABCD whose one side BC = 4.5 cm and diagonal AC = 6 cm.

Question 1 (i)What will be the unit digit of the squares of the following number:81

If a : b = 2 : 5, find the value of 3a+2b4a+b.

State whether the following statement is true or false: While stating that two triangles are congruent using a congruence statement, the order of the vertices is very important.

Curved surface area of a cylinder of radius r and height h is:

Find the equation of a line which is parallel to x-axis and has y-intercept as -3.

A rhombus shaped field has green grass for 18 cows to graze. If each side of the rhombus is 30 m and its longer diagonal is 48 m, how much area of grass field will each cow be getting?

FIND THE THREE CONSECUTIVE ODD NUMBERS WHOSE SUM OF THE SQUARES ARE 155

What is significant digit of 6.02×10^23 Is it 3 or 26 ?

Choose the correct front, side or top view of a cone.

Area of a sector of circle of radius 12 cm and subtending an angle of 60∘ at the centre is cm2.

The diameter of the Sun is 4 × 109 m and the diameter of the sodium atom is 3 × 10−10 m. Find the ratio of diameter of the Sun to the diameter of the sodium atom.

Observe the following pattern and find the missing digits.112 = 1211012 = 1020110012 = 10020011000012 = 1…2…1100000012 = …

Area of a parallelogram is 83.2 sq cm. If its height is 6.4 cm, find the length of its base.

If 5Pr = 5! find r.

A microwave oven was available for RS 5301 after successive discounts of 10% and 5%. Find the marked price.

Question 127 State whether the statements are True or False. A quadrilateral can be drawn, if three sides and two diagonals are given.

The area of an equilateral triangle is numerically equal to its perimeter. Find its perimeter correct to 2 decimal places.

Question 4(ii)Simplify:(2x+5)2−(2x−5)2

If LM ∥ AB, AL=x-3, AC=2x, BM=x-2, BC=2x+3. What is value of AC? ___

149600 is expressed as 1.496×10aFind the value of a.5

(x3−2x2+5x−7)(2x−3)

Factorise: 3x2+10x+8

Factorise the given quadratic equationx2+5x+6=0.

Calculate the median salary of the following data giving salaries of 280 persons: Salary (in thousands)5−1010−1515−2020−2525−3030−3535−4040−4545−50Number of persons49133631567421

Add the following: (i) 5a2b2+10ab−12a2+15b−20 and 34ab+24a2+22b+24 (ii) abc+6bcd+abd−9ab+4bc−9a−43 and 4acd+10ac−54b−32c (iii) 5bc+9ad−3c−12 and 24−5c−5b+2ab

157×153=?

Which is the smallest number that must be multiplied to 77175 to make it a perfect cube?

Factorise: ab(x2+y2)−xy(a2+b2)

If n varies directly as m, complete the following table. m 3 5 6.5 ... 1.25 n 12 20 ... 28 ...

Question 2A number of the form pq is said to be a rational number, if(a) p and q are integers.(b) p and q are integers and q ≠ 0(c) p and q are integers and p ≠ 0(d) p and q are integers and p ≠ 0 also q ≠ 0.