16437 + Interview Questions in Mathematics Page 177 InterviewSolution

8801.	Compare the following pair of surds.(i) 72, 53 (ii) 247,274 (iii) 27,28 (iv) 55, 72 (v) 442, 92 (vi) 53, 9 (vii) 7, 25
Answer» Compare the following pair of surds. (i) $7 \sqrt{2}, 5 \sqrt{3}$ (ii) $\sqrt{247}, \sqrt{274}$ (iii) $2 \sqrt{7}, \sqrt{28}$ (iv) $5 \sqrt{5}, 7 \sqrt{2}$ (v) $4 \sqrt{42}, 9 \sqrt{2}$ (vi) $5 \sqrt{3}, 9$ (vii) $7, 2 \sqrt{5}$

Discussion

8802.	Question 3 (ii) Population of Rajasthan = 570 lakhs population of UP= 1660 lakhs. Area of Rajasthan = 3 lakh km2 and area of UP = 2 lakh km2, ii) Which states is less populated?
Answer» Question 3 (ii) Population of Rajasthan = 570 lakhs population of UP= 1660 lakhs. Area of Rajasthan = 3 lakh $k m^{2}$ and area of UP = 2 lakh $k m^{2}$ , ii) Which states is less populated?

Discussion

8803.	If P(A),P(B) =andP(A ∪ B) =,find(i) P(A ∩B) (ii) P(A\|B) (iii) P(B\|A)
Answer» If P(A), P(B) =and P(A ∪ B) =, find (i) P(A ∩ B) (ii) P(A\|B) (iii) P(B\|A)

8803.

If P(A),P(B) =andP(A ∪ B) =,find(i) P(A ∩B) (ii) P(A|B) (iii) P(B|A)

Answer»

If P(A),
P(B) =and
P(A ∪ B) =,
find

(i) P(A ∩
B) (ii) P(A|B) (iii) P(B|A)

Discussion

8804.	John saves $10 every month in his saving account. He withdrew $50 once to go shopping. Now he has $250 in his account. How long he has been saving? months
Answer» John saves $$ 10$ every month in his saving account. He withdrew $$ 50$ once to go shopping. Now he has $$ 250$ in his account. How long he has been saving? months

Discussion

8805.	Question 6(c) Find the perimeter of an isosceles triangle with equal sides 8 cm each and third side 6 cm.
Answer» Question 6(c) Find the perimeter of an isosceles triangle with equal sides 8 cm each and third side 6 cm.

8805.

Question 6(c) Find the perimeter of an isosceles triangle with equal sides 8 cm each and third side 6 cm.

Answer»

Question 6(c)

Find the perimeter of an isosceles triangle with equal sides 8 cm each and third side 6 cm.

Discussion

8806.	Find the value of (x+y) from the figure below:
Answer» Find the value of (x+y) from the figure below:

8806.

Find the value of (x+y) from the figure below:

Answer»

Find the value of (x+y) from the figure below:

Discussion

8807.	(a×b)×c=a×(b×c) is it is true?
Answer» (a×b)×c=a×(b×c) is it is true?

Discussion

8808.	Among the following, is not the unit of area.
Answer» Among the following, is not the unit of area.

Discussion

8809.	Question 86Fill in the blanks to make the statements true.A rectangle whose adjacent sides are equal becomes a ___.
Answer» Question 86 Fill in the blanks to make the statements true. A rectangle whose adjacent sides are equal becomes a ___.

Discussion

8810.	Round off 8349 to the nearest hundred.
Answer» Round off 8349 to the nearest hundred.

Discussion

8811.	Classify the following curve as open or closed.
Answer» Classify the following curve as open or closed.

Discussion

8812.	Find the common solution of the inequalities.1)(x-7)(x-15)or=0
Answer» Find the common solution of the inequalities. 1)(x-7)(x-15)<0, (x-2)(x-8)(x-12) >or=0

Discussion

8813.	Hannah loves cycling. She rode her bicycle for 315 miles in the evening. Express this distance as an improper fraction.
Answer» Hannah loves cycling. She rode her bicycle for $3 \frac{1}{5} m i l e s$ in the evening. Express this distance as an improper fraction.

Discussion

8814.	Write the following in ascending order of magnitude.66, 73, 84.
Answer» Write the following in ascending order of magnitude. $\sqrt[6]{6}, \sqrt[3]{7}, \sqrt[4]{8}$ .

Discussion

8815.	Mark the correct alternative in each of the following:If a = (−1) × (−1) × (−1) × ... 100 times and b = (−1) × (−1) × (−1) × ... 95 times, then a + b = (a) −1 (b) −2 (c) 0 (d) 1
Answer» Mark the correct alternative in each of the following: If a = (−1) × (−1) × (−1) × ... 100 times and b = (−1) × (−1) × (−1) × ... 95 times, then a + b = (a) −1 (b) −2 (c) 0 (d) 1

Discussion

8816.	133. Find the domains of definition of the following function f(x)=(arcsin(log2x)
Answer» 133. Find the domains of definition of the following function f(x)=(arcsin(log2x)

Discussion

8817.	Q. निम्नलिखित कथनों पर विचार कीजिये:उपर्युक्त कथनों में से कौन-सा/से कथन सत्य है/हैं?
Answer» Q. निम्नलिखित कथनों पर विचार कीजिये: उपर्युक्त कथनों में से कौन-सा/से कथन सत्य है/हैं?

8817.

Q. निम्नलिखित कथनों पर विचार कीजिये:उपर्युक्त कथनों में से कौन-सा/से कथन सत्य है/हैं?

Answer»

Q. निम्नलिखित कथनों पर विचार कीजिये:

उपर्युक्त कथनों में से कौन-सा/से कथन सत्य है/हैं?

Discussion

8818.	p is prime, n is a positive integer and n+p= 2000. L.C.M. of n and p is 21879 . Then find n and p
Answer» p is prime, n is a positive integer and n+p= 2000. L.C.M. of n and p is 21879 . Then find n and p

Discussion

8819.	A shopkeeper sold a laptop for ₹38,000 which he purchased for ₹40,000. Find the cost price and selling price.
Answer» A shopkeeper sold a laptop for ₹38,000 which he purchased for ₹40,000. Find the cost price and selling price.

Discussion

8820.	Solve: 5−2(x−1)=4(3−x)−2x.
Answer» $Solve: 5 - 2 (x - 1) = 4 (3 - x) - 2 x .$

Discussion

8821.	Question 111Solve the followingFor what value of x is the perimeter of shape 186 cm?
Answer» Question 111 Solve the following For what value of x is the perimeter of shape 186 cm?

8821.

Question 111Solve the followingFor what value of x is the perimeter of shape 186 cm?

Answer»

Question 111

Solve the following

For what value of x is the perimeter of shape 186 cm?

Discussion

8822.	Given, 2=1.414 and 6=2.449, find the value of 13-2-1 correct to 3 places of decimal.
Answer» Given, $\sqrt{2} = 1.414 and \sqrt{6} = 2.449$ , find the value of $\frac{1}{\sqrt{3} - \sqrt{2} - 1}$ correct to 3 places of decimal.

Discussion

8823.	represent 2 3/8 on number line
Answer» represent 2 3/8 on number line

Discussion

8824.	Journalise the following transactions in the books of Ashok:(i) Received ₹ 11,700 from Hari Krishan in full settlement of his account for ₹ 12,000.(ii) Received ₹ 11,700 from Shyam on his account for ₹ 12,000.(iii) Received a first and final dividend of 70 paise in the rupee from the official receiver of Rajagopal who owed us ₹ 7,000.(iv) Paid ₹ 2,880 to A.K. Mandal in full settlement of his account for ₹ 3,000.(v) Paid ₹ 2,880 to S.K. Gupta on his account for ₹ 3,000.
Answer» Journalise the following transactions in the books of Ashok: (i) Received ₹ 11,700 from Hari Krishan in full settlement of his account for ₹ 12,000. (ii) Received ₹ 11,700 from Shyam on his account for ₹ 12,000. (iii) Received a first and final dividend of 70 paise in the rupee from the official receiver of Rajagopal who owed us ₹ 7,000. (iv) Paid ₹ 2,880 to A.K. Mandal in full settlement of his account for ₹ 3,000. (v) Paid ₹ 2,880 to S.K. Gupta on his account for ₹ 3,000.

Discussion

8825.	Which of the following method gives the most accurate length of line segments?
Answer» Which of the following method gives the most accurate length of line segments?

Discussion

8826.	Question 2Construct the Quadrilateral PLAN wherePL=4 cm, LA = 6.5 cm, ∠P=90∘, ∠A=110∘, ∠B=85∘
Answer» Question 2 Construct the Quadrilateral PLAN where PL=4 cm, LA = 6.5 cm, $∠ P = 90^{\circ}, ∠ A = 110^{\circ}, ∠ B = 85^{\circ}$

Discussion

8827.	Prove that the perpendicular at the point of contact to the †an gent to a circle passes through the center.
Answer» Prove that the perpendicular at the point of contact to the †an gent to a circle passes through the center.

Discussion

8828.	Question 72 Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement: Write two equations for which 2 is the solution.
Answer» Question 72 Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement: Write two equations for which 2 is the solution.

8828.

Question 72 Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement: Write two equations for which 2 is the solution.

Answer»

Question 72

Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:

Write two equations for which 2 is the solution.

Discussion

8829.	prove all the angles of a triangle equal to 180 degree?
Answer» prove all the angles of a triangle equal to 180 degree?

Discussion

8830.	The value of 5^0 x 5^3 is ___
Answer» The value of 5^0 x 5^3 is ___

Discussion

8831.	2-Methylpenta-2,3-diene is achiral because it has (A) a plane of symmetry (B) a centre of symmetry (C) a C2 axis of symmetry (D) both a plane and centre of symmetry
Answer» 2-Methylpenta-2,3-diene is achiral because it has (A) a plane of symmetry (B) a centre of symmetry (C) a C2 axis of symmetry (D) both a plane and centre of symmetry

Discussion

8832.	Which one is a 4D shape?
Answer» Which one is a $4 D$ shape?

Discussion

8833.	21. Prove in any Δ ABC,if one angle is 120^° the Δ formed by the feet of the angle bisector is right angled
Answer» 21. Prove in any Δ ABC,if one angle is 120^° the Δ formed by the feet of the angle bisector is right angled

Discussion

8834.	Which of the following alphabets look the same on reflection in a vertical mirror?
Answer» Which of the following alphabets look the same on reflection in a vertical mirror?

Discussion

8835.	Prove that in a triangle, other than an equilateral triangle, angle opposite to the longest side is greater than 23of a right angle.
Answer» Prove that in a triangle, other than an equilateral triangle, angle opposite to the longest side is greater than $\frac{2}{3}$ of a right angle.

Discussion

8836.	Which of the following pairs are reciprocals of each other?
Answer» Which of the following pairs are reciprocals of each other?

Discussion

8837.	If a shop sells 13 packets of milk, as the one shown here. How much milk was sold in total?
Answer» If a shop sells 13 packets of milk, as the one shown here. How much milk was sold in total?

Discussion

8838.	The area of the ΔABC equals .
Answer» The area of the $Δ A B C$ equals .

Discussion

8839.	कवि का ब्रज के वन, बाग और तालाब को निहारने के पीछे क्या कारण हैं?
Answer» कवि का ब्रज के वन, बाग और तालाब को निहारने के पीछे क्या कारण हैं?

Discussion

8840.	How many columns are present in the following table?2
Answer» How many columns are present in the following table? 2

Discussion

8841.	If 2 is subtracted from the numerator and 1 is added to the denominator, afraction becomes1/2.But when 4 is added to the numerator and 3 is subtractedfrom the denominator, it becomes3/2.Find the fraction.
Answer» If 2 is subtracted from the numerator and 1 is added to the denominator, a fraction becomes1/2 . But when 4 is added to the numerator and 3 is subtracted from the denominator, it becomes3/2 . Find the fraction.

Discussion

8842.	If white button represents +1 and black button represents +1. Find the net value of all the buttons shown:
Answer» If white button represents +1 and black button represents +1. Find the net value of all the buttons shown:

8842.

If white button represents +1 and black button represents +1. Find the net value of all the buttons shown:

Answer»

If white button represents +1 and black button represents +1. Find the net value of all the buttons shown:

Discussion

8843.	There are 11 muffins in total. If each box can hold 3 muffins, how many more muffins are needed to fill the fourth box completely?
Answer» There are 11 muffins in total. If each box can hold 3 muffins, how many more muffins are needed to fill the fourth box completely?

Discussion

8844.	Choose the appropriate choice : 2/7 + 3/7 =
Answer» Choose the appropriate choice : 2/7 + 3/7 =

Discussion

8845.	The family of curves, in which the subtangent at any point to any curve is double abscissa, is given b
Answer» The family of curves, in which the subtangent at any point to any curve is double abscissa, is given b

Discussion

8846.	Question 71. 6.25 ___ 254
Answer» Question 71. 6.25 ___ $\frac{25}{4}$

Discussion

8847.	Bharat and Bhushan are partners sharing profits in the ratio of 3 : 2. They decided to admit Manu as a partner from 1st April, 2019 on the following terms:(i) Manu will be given 2/5th share of the profit.(ii) Goodwill of the firm will be valued at two years' purchase of three years' normal average profit of the firm.Profits of the previous three years ended 31st March, were:2019 - Profit ₹ 30,000 (after debiting loss of stock by fire ₹ 40,000).2018 - Loss ₹ 80,000 (includes voluntary retirement compensation paid ₹ 1,10,000).2017 - Profit ₹ 1,10,000 (including a gain (profit) of ₹ 30,000 on the sale of fixed assets).Calculate the value of goodwill.
Answer» Bharat and Bhushan are partners sharing profits in the ratio of 3 : 2. They decided to admit Manu as a partner from 1st April, 2019 on the following terms: (i) Manu will be given 2/5th share of the profit. (ii) Goodwill of the firm will be valued at two years' purchase of three years' normal average profit of the firm. Profits of the previous three years ended 31st March, were: 2019 - Profit ₹ 30,000 (after debiting loss of stock by fire ₹ 40,000). 2018 - Loss ₹ 80,000 (includes voluntary retirement compensation paid ₹ 1,10,000). 2017 - Profit ₹ 1,10,000 (including a gain (profit) of ₹ 30,000 on the sale of fixed assets). Calculate the value of goodwill.

Discussion

8848.	For the triangle above, choose the correct pair of the base and its corresponding height.
Answer» For the triangle above, choose the correct pair of the base and its corresponding height.

Discussion

8849.	More than One Answer Typeएक से अधिक उत्तर प्रकार के प्रश्नWhich of the following figure/s has/have less than 32 triangles?निम्नलिखित में से कौनसे चित्र/चित्रों में 32 से कम त्रिभुज है/हैं?
Answer» More than One Answer Type एक से अधिक उत्तर प्रकार के प्रश्न Which of the following figure/s has/have less than 32 triangles? निम्नलिखित में से कौनसे चित्र/चित्रों में 32 से कम त्रिभुज है/हैं?

Discussion

8850.	Find the number of sides of a regular polygon if the sum of its interior angle is 1440 degree.
Answer» Find the number of sides of a regular polygon if the sum of its interior angle is 1440 degree.

Discussion

Explore topic-wise InterviewSolutions in .

Compare the following pair of surds.(i) 72, 53 (ii) 247,274 (iii) 27,28 (iv) 55, 72 (v) 442, 92 (vi) 53, 9 (vii) 7, 25

Question 3 (ii) Population of Rajasthan = 570 lakhs population of UP= 1660 lakhs. Area of Rajasthan = 3 lakh km2 and area of UP = 2 lakh km2, ii) Which states is less populated?

If P(A),P(B) =andP(A ∪ B) =,find(i) P(A ∩B) (ii) P(A|B) (iii) P(B|A)

John saves $10 every month in his saving account. He withdrew $50 once to go shopping. Now he has $250 in his account. How long he has been saving? months

Question 6(c) Find the perimeter of an isosceles triangle with equal sides 8 cm each and third side 6 cm.

Find the value of (x+y) from the figure below:

(a×b)×c=a×(b×c) is it is true?

Among the following, is not the unit of area.

Question 86Fill in the blanks to make the statements true.​​​​​​​A rectangle whose adjacent sides are equal becomes a ___.

Round off 8349 to the nearest hundred.

Classify the following curve as open or closed.

Find the common solution of the inequalities.1)(x-7)(x-15)or=0

Hannah loves cycling. She rode her bicycle for 315 miles in the evening. Express this distance as an improper fraction.

Write the following in ascending order of magnitude.66, 73, 84.

Mark the correct alternative in each of the following:If a = (−1) × (−1) × (−1) × ... 100 times and b = (−1) × (−1) × (−1) × ... 95 times, then a + b = (a) −1 (b) −2 (c) 0 (d) 1

133. Find the domains of definition of the following function f(x)=(arcsin(log2x)

Q. निम्नलिखित कथनों पर विचार कीजिये:उपर्युक्त कथनों में से कौन-सा/से कथन सत्य है/हैं?

p is prime, n is a positive integer and n+p= 2000. L.C.M. of n and p is 21879 . Then find n and p

A shopkeeper sold a laptop for ₹38,000 which he purchased for ₹40,000. Find the cost price and selling price.

Solve: 5−2(x−1)=4(3−x)−2x.

Question 111Solve the followingFor what value of x is the perimeter of shape 186 cm?

Given, 2=1.414 and 6=2.449, find the value of 13-2-1 correct to 3 places of decimal.

represent 2 3/8 on number line

Which of the following method gives the most accurate length of line segments?

Question 2Construct the Quadrilateral PLAN wherePL=4 cm, LA = 6.5 cm, ∠P=90∘, ∠A=110∘, ∠B=85∘

Prove that the perpendicular at the point of contact to the †an gent to a circle passes through the center.

Question 72 Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement: Write two equations for which 2 is the solution.

prove all the angles of a triangle equal to 180 degree?

The value of 5^0 x 5^3 is ___

2-Methylpenta-2,3-diene is achiral because it has (A) a plane of symmetry (B) a centre of symmetry (C) a C2 axis of symmetry (D) both a plane and centre of symmetry

Which one is a 4D shape?

21. Prove in any Δ ABC,if one angle is 120^° the Δ formed by the feet of the angle bisector is right angled

Which of the following alphabets look the same on reflection in a vertical mirror?

Prove that in a triangle, other than an equilateral triangle, angle opposite to the longest side is greater than 23of a right angle.

Which of the following pairs are reciprocals of each other?

If a shop sells 13 packets of milk, as the one shown here. How much milk was sold in total?

The area of the ΔABC equals .

कवि का ब्रज के वन, बाग और तालाब को निहारने के पीछे क्या कारण हैं?

How many columns are present in the following table?2

If 2 is subtracted from the numerator and 1 is added to the denominator, afraction becomes1/2.But when 4 is added to the numerator and 3 is subtractedfrom the denominator, it becomes3/2.Find the fraction.

If white button represents +1 and black button represents +1. Find the net value of all the buttons shown:

There are 11 muffins in total. If each box can hold 3 muffins, how many more muffins are needed to fill the fourth box completely?

Choose the appropriate choice : 2/7 + 3/7 =

The family of curves, in which the subtangent at any point to any curve is double abscissa, is given b

Question 71. 6.25 ___ 254

For the triangle above, choose the correct pair of the base and its corresponding height.

Find the number of sides of a regular polygon if the sum of its interior angle is 1440 degree.

Question 86Fill in the blanks to make the statements true.A rectangle whose adjacent sides are equal becomes a ___.