24740 + Interview Questions in Mathematics Page 194 InterviewSolution

9651.	Solve this number series:2, 12, 123, 1345, ?
Answer» Solve this number series: 2, 12, 123, 1345, ?

Discussion

9652.	If the weight of 12 sheets of paper is 40 grams, how many sheets of paper will be present in 5 kg of a paper bundle? [3 MARKS]
Answer» If the weight of 12 sheets of paper is 40 grams, how many sheets of paper will be present in 5 kg of a paper bundle? [3 MARKS]

Discussion

9653.	Question 8Which of the following points lies on the y-axis?A (1, 1), B(1, 0), C(0, 1), D(0, 0), E(0, -1), F(-1, 0), G(0, 5), H(-7, 0) and I(3, 3)
Answer» Question 8 Which of the following points lies on the y-axis? A (1, 1), B(1, 0), C(0, 1), D(0, 0), E(0, -1), F(-1, 0), G(0, 5), H(-7, 0) and I(3, 3)

Discussion

9654.	The value of __1___+___1___+ ___1___ + ____?_____ + ___1__ √2 +1 √3+√2 √4+√3 √9+√8
Answer» The value of __1___+___1___+ ___1___ + ____?_____ + ___1__ √2 +1 √3+√2 √4+√3 √9+√8

Discussion

9655.	Question 3 (iii) Simplify: 11121114
Answer» Question 3 (iii) Simplify: $\frac{11^{\frac{1}{2}}}{11^{\frac{1}{4}}}$

9655.

Question 3 (iii) Simplify: 11121114

Answer»

Question 3 (iii)
Simplify:

$\frac{11^{\frac{1}{2}}}{11^{\frac{1}{4}}}$

Discussion

9656.	If a solid has BCC structure and if the distance of the closest approach between the two atoms is 1.73 ∘A. The edge length of the cell is
Answer» If a solid has BCC structure and if the distance of the closest approach between the two atoms is $1.73 \circ A$ . The edge length of the cell is

Discussion

9657.	Factorise:x2+2x−(4a2+8a+3)
Answer» Factorise: $x^{2} + 2 x - (4 a^{2} + 8 a + 3)$

Discussion

9658.	The radius and height of a cylinder are in ratio 7:2. If the volume of the cylinder is 8316 cm3, find the TSA of the cylinder.
Answer» The radius and height of a cylinder are in ratio $7 : 2$ . If the volume of the cylinder is $8316 c m^{3}$ , find the TSA of the cylinder.

Discussion

9659.	Factorize each of the following expressions:a3 + 8b3 + 64c3 − 24abc
Answer» Factorize each of the following expressions: a³ + 8b³ + 64c³ − 24abc

Discussion

9660.	An irrational number between 3 and 4 is .
Answer» An irrational number between 3 and 4 is .

Discussion

9661.	A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm. how much soup the hospital has to prepare daily to serve 250 patients ?
Answer» A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm. how much soup the hospital has to prepare daily to serve 250 patients ?

Discussion

9662.	Question 54In a year, Ravi earns Rs. 360000 and paid Rs. 24000 as income tax.Find the ratio of hisa) income to income tax.b) income tax to income after paying income tax.
Answer» Question 54 In a year, Ravi earns Rs. 360000 and paid Rs. 24000 as income tax. Find the ratio of his a) income to income tax. b) income tax to income after paying income tax.

9662.

Question 54In a year, Ravi earns Rs. 360000 and paid Rs. 24000 as income tax.Find the ratio of hisa) income to income tax.b) income tax to income after paying income tax.

Answer»

Question 54

In a year, Ravi earns Rs. 360000 and paid Rs. 24000 as income tax.

Find the ratio of his

a) income to income tax.

b) income tax to income after paying income tax.

Discussion

9663.	Question 3: Use the figure to name: (a) A line on which O lies.
Answer» Question 3: Use the figure to name: (a) A line on which O lies.

9663.

Question 3: Use the figure to name: (a) A line on which O lies.

Answer»

Question 3: Use the figure to name:

(a) A line on which O lies.

Discussion

9664.	Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.
Answer» Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.

Discussion

9665.	In ∆ABC, if AC is greater than AB, then prove that AC-AB is less than BC, AC-BC is less than AB and BC-AB is less than AC.
Answer» In ∆ABC, if AC is greater than AB, then prove that AC-AB is less than BC, AC-BC is less than AB and BC-AB is less than AC.

Discussion

9666.	What is the probability of picking the letter T from all the letters of the word SPLITTING?
Answer» What is the probability of picking the letter T from all the letters of the word SPLITTING?

Discussion

9667.	The Mean of areas of 4 squares is 529. What is the mean of the sides ?
Answer» The Mean of areas of 4 squares is 529. What is the mean of the sides ?

Discussion

9668.	For which of these would you use a histogram to show the data:(a) The number of letters for different areas in a postman’s bag.(b) The height of competitors in an athletics meet.(c) The number of cassettes produced by 5 companies.(d) The number of passengers boarding trains from 7:00 a.m. to 7:00 p.m. at a station.Give a reason for each.
Answer» For which of these would you use a histogram to show the data: (a) The number of letters for different areas in a postman’s bag. (b) The height of competitors in an athletics meet. (c) The number of cassettes produced by 5 companies. (d) The number of passengers boarding trains from 7:00 a.m. to 7:00 p.m. at a station. Give a reason for each.

Discussion

9669.	How many angles are formed between two parallel lines?
Answer» How many angles are formed between two parallel lines?

Discussion

9670.	What is the distance along the y-axis called? [1 MARK]
Answer» What is the distance along the y-axis called? [1 MARK]

Discussion

9671.	Factorize:64a3 − 343
Answer» Factorize: 64a³ − 343

Discussion

9672.	If x=√3+12, find the value of 4x3+2x2−8x+7.
Answer» If $x = \frac{\sqrt{3} + 1}{2}$ , find the value of $4 x^{3} + 2 x^{2} - 8 x + 7$ .

Discussion

9673.	Construct a triangle ABC in which BC = 8 cm, ∠B = 45° and AB − AC = 3.5 cm.
Answer» Construct a triangle ABC in which BC = 8 cm, ∠B = 45° and AB − AC = 3.5 cm.

Discussion

9674.	In the given figure, PSDA is a parallelogram in which PQ = QR = RS and AP \|\| BQ \|\| CR. Prove that ar (PQE) = ar (Δ CFD).
Answer» In the given figure, PSDA is a parallelogram in which PQ = QR = RS and AP \|\| BQ \|\| CR. Prove that ar (PQE) = ar (Δ CFD).

Discussion

9675.	In the given figure, O is the centre of a circle and ∠OAB=50∘. Then, ∠CDA=? (a) 40∘ (b) 50∘ (c) 75∘ (d) 25∘
Answer» In the given figure, O is the centre of a circle and $∠ O A B = 50^{\circ} . Then, ∠ C D A = ?$ (a) $40^{\circ}$ (b) $50^{\circ}$ (c) $75^{\circ}$ (d) $25^{\circ}$

9675.

In the given figure, O is the centre of a circle and ∠OAB=50∘. Then, ∠CDA=? (a) 40∘ (b) 50∘ (c) 75∘ (d) 25∘

Answer»

In the given figure, O is the centre of a circle and $∠ O A B = 50^{\circ} . Then, ∠ C D A = ?$

(a) $40^{\circ}$

(b) $50^{\circ}$

(c) $75^{\circ}$

(d) $25^{\circ}$

Discussion

9676.	Complete the sentence. Gregory: Is it possible to visit you today? Selma: Yes Gregory asked Selma ___________________. Selma replied affirmatively.
Answer» Complete the sentence. Gregory: Is it possible to visit you today? Selma: Yes Gregory asked Selma ___________________. Selma replied affirmatively.

9676.

Complete the sentence. Gregory: Is it possible to visit you today? Selma: Yes Gregory asked Selma ___________________. Selma replied affirmatively.

Answer»

Complete the sentence.

Gregory: Is it possible to visit you today?

Selma: Yes

Gregory asked Selma ___________________. Selma replied affirmatively.

Discussion

9677.

From the following information supplied by Sanjay, prepare his Bank Reconciliation Statement as on 31st March, 2019: ₹ (i) Bank overdraft as per Pass Book. 16,500 (ii) Cheques issued but not presented for payment. 8,750 (iii) Cheques deposited with the Bank but not collected. 10,500 (iv) Cheques recorded in the Cash Book but not sent to the bank for collection. 2,000 (v) Payments received from customers directly by the bank. 3,500 (vi) Bank charges debited in the Pass Book. 200 (vii) Premium on life policy of Sanjay paid by the bank on standing advice. 1,980 (viii) A bill for ₹ 3,000 (discounted with the bank in February) dishonoured on 31st March, 2019 and noting charges paid by the bank. 100

Answer» From the following information supplied by Sanjay, prepare his Bank Reconciliation Statement as on 31st March, 2019:

		₹
(i)	Bank overdraft as per Pass Book.	16,500
(ii)	Cheques issued but not presented for payment.	8,750
(iii)	Cheques deposited with the Bank but not collected.	10,500
(iv)	Cheques recorded in the Cash Book but not sent to the bank for collection.	2,000
(v)	Payments received from customers directly by the bank.	3,500
(vi)	Bank charges debited in the Pass Book.	200
(vii)	Premium on life policy of Sanjay paid by the bank on standing advice.	1,980
(viii)	A bill for ₹ 3,000 (discounted with the bank in February) dishonoured on 31st March, 2019 and noting charges paid by the bank.	100

Discussion

9678.	Question 126 Fill in the blank to make the statement true. 10001 x 0 = .............
Answer» Question 126 Fill in the blank to make the statement true. 10001 x 0 = .............

9678.

Question 126 Fill in the blank to make the statement true. 10001 x 0 = .............

Answer»

Question 126

Fill in the blank to make the statement true.

10001 x 0 = .............

Discussion

9679.	The number of functions from an m element set to an n element set is
Answer» The number of functions from an $m$ element set to an $n$ element set is

Discussion

9680.	If x2+y2-xy=3 and y-x=1, thenxyx2+y2=___________.
Answer» If $x^{2} + y^{2} - x y = 3 and y - x = 1, then \frac{x y}{x^{2} + y^{2}} =___________.$

Discussion

9681.	locus of centres of the circles which touch the two circles x2+y2=16 and x2+y2=16x externally i
Answer» locus of centres of the circles which touch the two circles x2+y2=16 and x2+y2=16x externally i

Discussion

9682.	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

9683.	4+√54−√5+4−√54+√5= ___
Answer» $\frac{4 + \sqrt{5}}{4 - \sqrt{5}} + \frac{4 - \sqrt{5}}{4 + \sqrt{5}} =$ ___

Discussion

9684.	Find the roots of quadratic equation x2 - 4x + 4 = 0 using the quadratic formula.
Answer» Find the roots of quadratic equation x² - 4x + 4 = 0 using the quadratic formula.

Discussion

9685.	Without actually performing the long division, state whether77210 will have a terminating decimal expansion or a non-terminating repeating decimal expansion.
Answer» Without actually performing the long division, state whether $\frac{77}{210}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Discussion

9686.	If the base of an isosceles triangle is produced on both sides, prove that the exterior angles so formed are equal to each other.
Answer» If the base of an isosceles triangle is produced on both sides, prove that the exterior angles so formed are equal to each other.

Discussion

9687.	Find the surface area of a sphere whose volume is 606.375m3.
Answer» Find the surface area of a sphere whose volume is $606.375 m^{3}$ .

Discussion

9688.	In the figure, arms BA and BC of ∠ABC are respectively parallel to arms ED and EF of ∠ DEF. Prove that ∠ABC=∠DEF.
Answer» In the figure, arms BA and BC of $∠ A B C$ are respectively parallel to arms ED and EF of $∠$ DEF. Prove that $∠ A B C = ∠ D E F$ .

9688.

In the figure, arms BA and BC of ∠ABC are respectively parallel to arms ED and EF of ∠ DEF. Prove that ∠ABC=∠DEF.

Answer»

In the figure, arms BA and BC of $∠ A B C$ are respectively parallel to arms ED and EF of $∠$ DEF. Prove that $∠ A B C = ∠ D E F$ .

Discussion

9689.	Explain RHScongruence rule of triangle.
Answer» Explain RHScongruence rule of triangle.

Discussion

9690.	Write the value of 125×273.
Answer» Write the value of $\sqrt[3]{125 \times 27}$ .

Discussion

9691.	What is the solution of the equation: 5x+10y=35 ?
Answer» What is the solution of the equation: $5 x + 10 y = 35 ?$

Discussion

9692.	Construct a 60∘ angle using line segments of any length.
Answer» Construct a $60^{\circ}$ angle using line segments of any length.

Discussion

9693.	Question 5 (iv)Rationalize the denominators of the following:1(√7−2)
Answer» Question 5 (iv) Rationalize the denominators of the following: $\frac{1}{(\sqrt{7} - 2)}$

9693.

Question 5 (iv)Rationalize the denominators of the following:1(√7−2)

Answer»

Question 5 (iv)

Rationalize the denominators of the following:

$\frac{1}{(\sqrt{7} - 2)}$

Discussion

9694.	The diagonals of a quadrilateral ABCD intersect each other at the point O such that AOBO=CODO. Show that ABCD is a trapezium.
Answer» The diagonals of a quadrilateral ABCD intersect each other at the point O such that $\frac{A O}{B O} = \frac{C O}{D O}$ . Show that ABCD is a trapezium.

Discussion

9695.	A boat covers 32 km upstream and 36 km downstream in 7 hours. Also, it covers 40 km upstream and 48 km downstream in 9 hours. Find the speed of the boat in still water and that of the stream.
Answer» A boat covers 32 km upstream and 36 km downstream in 7 hours. Also, it covers 40 km upstream and 48 km downstream in 9 hours. Find the speed of the boat in still water and that of the stream.

Discussion

9696.	Two circles of radii 10 cm and 8 cm intersect each other, and the length of the common chord is 12 cm. The distance between their centers will be
Answer» Two circles of radii $10 c m$ and $8 c m$ intersect each other, and the length of the common chord is $12 c m .$ The distance between their centers will be

Discussion

9697.	Express as a single logarithm 2+12log109−2log105
Answer» Express as a single logarithm $2 + \frac{1}{2} l o g_{10} 9 - 2 l o g_{10} 5$

9697.

Express as a single logarithm 2+12log109−2log105

Answer»

Express as a single logarithm

$2 + \frac{1}{2} l o g_{10} 9 - 2 l o g_{10} 5$

Discussion

9698.	Given an arc of a circle, complete the circle.
Answer» Given an arc of a circle, complete the circle.

Discussion

9699.	Construct a cumulative frequency distribution table from the frequency table given below:Class IntervalFrequency0−898−161316−241224−32732−4015
Answer» Construct a cumulative frequency distribution table from the frequency table given below: $\begin{matrix} Class Interval & Frequency 0 - 8 & 9 8 - 16 & 13 16 - 24 & 12 24 - 32 & 7 32 - 40 & 15 \end{matrix}$

Discussion

9700.	67.What are enantiomers?
Answer» 67.What are enantiomers?

Discussion

Explore topic-wise InterviewSolutions in .

Solve this number series:2, 12, 123, 1345, ?

If the weight of 12 sheets of paper is 40 grams, how many sheets of paper will be present in 5 kg of a paper bundle? [3 MARKS]

Question 8Which of the following points lies on the y-axis?A (1, 1), B(1, 0), C(0, 1), D(0, 0), E(0, -1), F(-1, 0), G(0, 5), H(-7, 0) and I(3, 3)

The value of __1___+___1___+ ___1___ + ____?_____ + ___1__ √2 +1 √3+√2 √4+√3 √9+√8

Question 3 (iii) Simplify: 11121114

If a solid has BCC structure and if the distance of the closest approach between the two atoms is 1.73 ∘A. The edge length of the cell is

Factorise:x2+2x−(4a2+8a+3)

The radius and height of a cylinder are in ratio 7:2. If the volume of the cylinder is 8316 cm3, find the TSA of the cylinder.

Factorize each of the following expressions:a3 + 8b3 + 64c3 − 24abc

An irrational number between 3 and 4 is .

A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm. how much soup the hospital has to prepare daily to serve 250 patients ?

Question 54In a year, Ravi earns Rs. 360000 and paid Rs. 24000 as income tax.Find the ratio of hisa) income to income tax.b) income tax to income after paying income tax.

Question 3: Use the figure to name: (a) A line on which O lies.​​

Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.

In ∆ABC, if AC is greater than AB, then prove that AC-AB is less than BC, AC-BC is less than AB and BC-AB is less than AC.

What is the probability of picking the letter T from all the letters of the word SPLITTING?

The Mean of areas of 4 squares is 529. What is the mean of the sides ?

How many angles are formed between two parallel lines?

What is the distance along the y-axis called? [1 MARK]

Factorize:64a3 − 343

If x=√3+12, find the value of 4x3+2x2−8x+7.

Construct a triangle ABC in which BC = 8 cm, ∠B = 45° and AB − AC = 3.5 cm.

In the given figure, PSDA is a parallelogram in which PQ = QR = RS and AP || BQ || CR. Prove that ar (PQE) = ar (Δ CFD).

In the given figure, O is the centre of a circle and ∠OAB=50∘. Then, ∠CDA=? (a) 40∘ (b) 50∘ (c) 75∘ (d) 25∘

Complete the sentence. Gregory: Is it possible to visit you today? Selma: Yes Gregory asked Selma ­­­­­­­­­___________________. Selma replied affirmatively.

Question 126 Fill in the blank to make the statement true. 10001 x 0 = .............

The number of functions from an m element set to an n element set is

If x2+y2-xy=3 and y-x=1, thenxyx2+y2=___________.

locus of centres of the circles which touch the two circles x2+y2=16 and x2+y2=16x externally i

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

4+√54−√5+4−√54+√5= ___

Find the roots of quadratic equation x2 - 4x + 4 = 0 using the quadratic formula.

Without actually performing the long division, state whether77210 will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

If the base of an isosceles triangle is produced on both sides, prove that the exterior angles so formed are equal to each other.

Find the surface area of a sphere whose volume is 606.375m3.

In the figure, arms BA and BC of ∠ABC are respectively parallel to arms ED and EF of ∠ DEF. Prove that ∠ABC=∠DEF.

Explain RHScongruence rule of triangle.

Write the value of 125×273.

What is the solution of the equation: 5x+10y=35 ?

Construct a 60∘ angle using line segments of any length.

Question 5 (iv)Rationalize the denominators of the following:1(√7−2)

The diagonals of a quadrilateral ABCD intersect each other at the point O such that AOBO=CODO. Show that ABCD is a trapezium.

A boat covers 32 km upstream and 36 km downstream in 7 hours. Also, it covers 40 km upstream and 48 km downstream in 9 hours. Find the speed of the boat in still water and that of the stream.

Two circles of radii 10 cm and 8 cm intersect each other, and the length of the common chord is 12 cm. The distance between their centers will be

Express as a single logarithm 2+12log109−2log105

Given an arc of a circle, complete the circle.

Construct a cumulative frequency distribution table from the frequency table given below:Class IntervalFrequency0−898−161316−241224−32732−4015

67.What are enantiomers?

The value of 1_+_1_+ _1_ + __?_ + _1__ √2 +1 √3+√2 √4+√3 √9+√8

Question 3: Use the figure to name: (a) A line on which O lies.

Complete the sentence. Gregory: Is it possible to visit you today? Selma: Yes Gregory asked Selma ___________________. Selma replied affirmatively.