19743 + Interview Questions in Mathematics Page 216 InterviewSolution

10751.	What is the criterion of SAS and ASA congruency? [2 MARKS]
Answer» What is the criterion of SAS and ASA congruency? [2 MARKS]

Discussion

10752.	Question 1(i)Carry out the multiplication of the expressions in each of the following pairs:4p,q+r
Answer» Question 1(i) Carry out the multiplication of the expressions in each of the following pairs: 4p,q+r

Discussion

10753.	Question 101Solve the following:A streamer goes downstream and covers the distance between two ports in 3 hours. It covers distance in 5 hours, when it goes upstream. If the stream flows at 3 km/h, then find what is the speed of the steamer upstream?
Answer» Question 101 Solve the following: A streamer goes downstream and covers the distance between two ports in 3 hours. It covers distance in 5 hours, when it goes upstream. If the stream flows at 3 km/h, then find what is the speed of the steamer upstream?

10753.

Question 101Solve the following:A streamer goes downstream and covers the distance between two ports in 3 hours. It covers distance in 5 hours, when it goes upstream. If the stream flows at 3 km/h, then find what is the speed of the steamer upstream?

Answer»

Question 101

Solve the following:

A streamer goes downstream and covers the distance between two ports in 3 hours. It covers distance in 5 hours, when it goes upstream. If the stream flows at 3 km/h, then find what is the speed of the steamer upstream?

Discussion

10754.	Which of the following is a variable?5,x,3.14,3x2x
Answer» Which of the following is a variable? $5, x, 3.14, \frac{3 x}{2 x}$

Discussion

10755.	Pls solve these question with steps =or > or < (-3)+7-(19) 15-8+(-9) 23-41+11 . 15-8+(-9) 39+(-24)-(15) . 36+(-52)-(-36) -231 +79+51 . -399+159+81 Pls solve with step
Answer» Pls solve these question with steps =or > or < (-3)+7-(19) 15-8+(-9) 23-41+11 . 15-8+(-9) 39+(-24)-(15) . 36+(-52)-(-36) -231 +79+51 . -399+159+81 Pls solve with step

10755.

Pls solve these question with steps =or > or < (-3)+7-(19) 15-8+(-9) 23-41+11 . 15-8+(-9) 39+(-24)-(15) . 36+(-52)-(-36) -231 +79+51 . -399+159+81 Pls solve with step

Answer»

Pls solve these question with steps

=or > or <

(-3)+7-(19) 15-8+(-9)

23-41+11 . 15-8+(-9)

39+(-24)-(15) . 36+(-52)-(-36)

-231 +79+51 . -399+159+81

Pls solve with step

Discussion

10756.	93+-33-63 = ?(a) 432(b) 270(c) 486(d) 540
Answer» $9^{3} + {(- 3)}^{3} - 6^{3}$ = ? (a) 432 (b) 270 (c) 486 (d) 540

Discussion

10757.	Which of the following is a rational number between 4 and 4.5?
Answer» Which of the following is a rational number between 4 and 4.5?

Discussion

10758.	If ΔPQR≅ΔEDF, then is it true to say that PR=EF ? Give reason for your answer.
Answer» If $Δ P Q R ≅ Δ E D F$ , then is it true to say that $P R = E F$ ? Give reason for your answer.

Discussion

10759.	Choose the correct alternative in the following question:The number 4,70,394 in standard form is written as(a) 4.70394 × 105 (b) 4.70394 × 104 (c) 47.0394 × 104 (d) 4703.94 × 102
Answer» Choose the correct alternative in the following question: The number 4,70,394 in standard form is written as (a) 4.70394 $\times$ 10⁵ (b) 4.70394 $\times$ 10⁴ (c) 47.0394 $\times$ 10⁴ (d) 4703.94 $\times$ 10²

Discussion

10760.	In the figure given below, angle A and angle B are _________.
Answer» In the figure given below, angle A and angle B are _________.

Discussion

10761.	Navendra was having a 200 square-meter of land in the backside of his house. He had certain issues with his neighbor so he decided to fence the land. He planned to divide the land in the ratio of 1:3. What will be the area of both the lands?
Answer» Navendra was having a 200 square-meter of land in the backside of his house. He had certain issues with his neighbor so he decided to fence the land. He planned to divide the land in the ratio of 1:3. What will be the area of both the lands?

Discussion

10762.	Find six rational number between 3 and 4.
Answer» Find six rational number between $3$ and $4$ .

Discussion

10763.	Mark the correct alternative in each of the following:On subtracting −14 from −18, we get(a) 4 (b) −4 (c) −32 (d) −32
Answer» Mark the correct alternative in each of the following: On subtracting −14 from −18, we get (a) 4 (b) −4 (c) −32 (d) −32

Discussion

10764.	If B lies on line AC and points A, B and C are distinct such that, AB + BC = AC, then
Answer» If B lies on line AC and points A, B and C are distinct such that, AB + BC = AC, then

Discussion

10765.	If the X- axis represents various fruits purchased and the Y-axis represents sales(in kgs), then match the following.
Answer» If the X- axis represents various fruits purchased and the Y-axis represents sales(in kgs), then match the following.

Discussion

10766.	The six elements of a triangle are its ‘a’ sides and ‘b’ angles. Find the value of a x b. ___
Answer» The six elements of a triangle are its ‘a’ sides and ‘b’ angles. Find the value of a x b. ___

Discussion

10767.	Darshan purchased 5 kg of apples out of which 14 were found rotten. If the remaining apples were divided among 4 people, including Darshan, then the fraction of apples that Darshan got equals __.
Answer» Darshan purchased 5 kg of apples out of which $\frac{1}{4}$ were found rotten. If the remaining apples were divided among 4 people, including Darshan, then the fraction of apples that Darshan got equals __.

Discussion

10768.	Which is the largest natural number?
Answer» Which is the largest natural number?

Discussion

10769.	Divide 2x3y−6x2y3+6x2y2 by 2x2y.
Answer» Divide $2 x^{3} y - 6 x^{2} y^{3} + 6 x^{2} y^{2}$ by $2 x^{2} y$ .

Discussion

10770.

The number of cars manufactured by a company from 1980 to 1983 is as follows. Draw a pictorial graphYear No. of cars 1980 30,000 1981 20,000 1982 40,000 1983 50,000

Answer»

The number of cars manufactured by a company from 1980 to 1983 is as follows. Draw a pictorial graph

Year		No. of cars
1980		30,000
1981		20,000
1982		40,000
1983		50,000

Discussion

10771.	Consider the following arithmetic operation(24)x+(17)x=(40)x.The least possible value of 'x' for which the above operation is valid is________11
Answer» $Consider the following arithmetic operation (24)_{x} + (17)_{x} = (40)_{x} . The least possible value of 'x' for which the above operation is valid is________$ 11

Discussion

10772.	A regular polygon is rotated about an angle of 600, the new object is symmetric about the original figure. The original figure could be
Answer» A regular polygon is rotated about an angle of 60⁰, the new object is symmetric about the original figure. The original figure could be

Discussion

10773.	A manufacturing company finds that the daily cost of producing x items of a product is given by C(x)=210x+7000. If selling price is Rs. 385 per piece, then the breakeven point is [2 marks]
Answer» A manufacturing company finds that the daily cost of producing $x$ items of a product is given by $C (x) = 210 x + 7000.$ If selling price is $Rs. 385$ per piece, then the breakeven point is [2 marks]

Discussion

10774.	In the given figure. Find RP and PS using the information given in ∆PSR.
Answer» In the given figure. Find RP and PS using the information given in ∆PSR.

Discussion

10775.	4. A bag contains 4 balls.One ball is drawn from the bag and found to be white.What is the probability that all balls in the bag were white?
Answer» 4. A bag contains 4 balls.One ball is drawn from the bag and found to be white.What is the probability that all balls in the bag were white?

Discussion

10776.	Question 76Observe the given graph carefully and complete the table given below.x12345y
Answer» Question 76 Observe the given graph carefully and complete the table given below. $\begin{matrix} x & 1 & 2 & 3 & 4 & 5 y \end{matrix}$

Discussion

10777.	Give the quotient when (−8) is divided by (+4).
Answer» Give the quotient when (−8) is divided by (+4).

Discussion

10778.	Question 89 (xiv) Factorise the following, using the identity, a2+2ab+b2=(a+b)2 a2x3+2abx2+b2x
Answer» Question 89 (xiv) Factorise the following, using the identity, $a^{2} + 2 a b + b^{2} = (a + b)^{2}$ $a^{2} x^{3} + 2 a b x^{2} + b^{2} x$

Discussion

10779.	Find five rational numbers between:14 and 12
Answer» Find five rational numbers between: $\frac{1}{4} a n d \frac{1}{2}$

Discussion

10780.	Question 1 (iii)Find12513
Answer» Question 1 (iii) Find $125^{\frac{1}{3}}$

10780.

Question 1 (iii)Find12513

Answer»

Question 1 (iii)

Find

$125^{\frac{1}{3}}$

Discussion

10781.	Question 95Solve the following question:Write the Pythagorean triplet whose one of the numbers is 4.
Answer» Question 95 Solve the following question: Write the Pythagorean triplet whose one of the numbers is 4.

10781.

Question 95Solve the following question:Write the Pythagorean triplet whose one of the numbers is 4.

Answer»

Question 95

Solve the following question:

Write the Pythagorean triplet whose one of the numbers is 4.

Discussion

10782.	All the following are criteria for measuring the congruency of triangles except the _____.
Answer» All the following are criteria for measuring the congruency of triangles except the _____.

Discussion

10783.	The equivalent fraction of 60% is.
Answer» The equivalent fraction of 60% is.

Discussion

10784.	In a grocery store, Pankaj bought apples for ₹32.27 and mangoes for ₹57.30. How much did Pankaj pay rounded off to the nearest integer?
Answer» In a grocery store, Pankaj bought apples for ₹32.27 and mangoes for ₹57.30. How much did Pankaj pay rounded off to the nearest integer?

Discussion

10785.	A principal of ₹ 40,000 is deposited in a bank which offers a simple interest at a rate of 10% a year. What is the amount at the end of 2 years?
Answer» A principal of ₹ 40,000 is deposited in a bank which offers a simple interest at a rate of 10% a year. What is the amount at the end of 2 years?

Discussion

10786.	ABC is a right triangle right angled at B such that BC =8 cm and radius of circumcircle is 5 cm, then theradius of the incircle is
Answer» ABC is a right triangle right angled at B such that BC =8 cm and radius of circumcircle is 5 cm, then theradius of the incircle is

Discussion

10787.	3100+510000=?(a) 0.35(b) 0.305(c) 0.0305(d) 0.035
Answer» $\frac{3}{100} + \frac{5}{10000} = ?$ (a) 0.35 (b) 0.305 (c) 0.0305 (d) 0.035

Discussion

10788.	Find the set of values of x for which the functions f(x) = 3x2 − 1 and g(x) = 3 + x are equal.
Answer» Find the set of values of x for which the functions f(x) = 3x² − 1 and g(x) = 3 + x are equal.

Discussion

10789.	The line passing through the points (5,1,a) and (3,b,1) crosses the yz−plane at the point (0,172,−132), then which of the following statement(s) is/are correct ?
Answer» The line passing through the points $(5, 1, a)$ and $(3, b, 1)$ crosses the $y z -$ plane at the point $(0, \frac{17}{2}, - \frac{13}{2}),$ then which of the following statement(s) is/are correct ?

Discussion

10790.	Question 66 Solve the following: 1-(x-2)-[(x-3)-(x-1)]=0
Answer» Question 66 Solve the following: 1-(x-2)-[(x-3)-(x-1)]=0

10790.

Question 66 Solve the following: 1-(x-2)-[(x-3)-(x-1)]=0

Answer»

Question 66

Solve the following:

1-(x-2)-[(x-3)-(x-1)]=0

Discussion

10791.	Solve the following.If the first, third and fourth terms of a proportion are 32, 112 and 217. Find the second term.
Answer» Solve the following. If the first, third and fourth terms of a proportion are 32, 112 and 217. Find the second term.

10791.

Solve the following.If the first, third and fourth terms of a proportion are 32, 112 and 217. Find the second term.

Answer»

Solve the following.

If the first, third and fourth terms of a proportion are 32, 112 and 217. Find the second term.

Discussion

10792.	In the given table, the relation between x and y is, y =
Answer» In the given table, the relation between x and y is, y =

Discussion

10793.	If the regular price of a shirt bought by Amit at ₹ 750 is ₹ 1000, then the discount % on the shirt bought is 25
Answer» If the regular price of a shirt bought by Amit at ₹ 750 is ₹ 1000, then the discount % on the shirt bought is 25

Discussion

10794.	Find the range of values of x which satisfy −13≤ x2−43< 16, where x ϵ real number.
Answer» Find the range of values of x which satisfy $\frac{- 1}{3} \leq \frac{x}{2} - \frac{4}{3} < \frac{1}{6}$ , where x ϵ real number.

Discussion

10795.	How to construct a Equilateral Triangle with altitude of 3.2 cm?
Answer» How to construct a Equilateral Triangle with altitude of 3.2 cm?

Discussion

10796.	The famous gemstone "kohinoor" weighs 563 carats. If one carat is equal to 200 mg then the weight of gemstone in grams is Options: 112.6 g , 11.26 g , 1.126 g , 1126 g
Answer» The famous gemstone "kohinoor" weighs 563 carats. If one carat is equal to 200 mg then the weight of gemstone in grams is Options: 112.6 g , 11.26 g , 1.126 g , 1126 g

Discussion

10797.	Pair the figures with their area.
Answer» Pair the figures with their area.

Discussion

10798.	What is class width?
Answer» What is class width?

Discussion

10799.	Is the order of radius correct?Sr2+
Answer» Is the order of radius correct? Sr2+

Discussion

10800.	(13) divided by (35) is ____.
Answer» $(\frac{1}{3})$ divided by $(\frac{3}{5})$ is ____.

Discussion

Explore topic-wise InterviewSolutions in .

What is the criterion of SAS and ASA congruency? [2 MARKS]

Question 1(i)Carry out the multiplication of the expressions in each of the following pairs:4p,q+r

Question 101Solve the following:A streamer goes downstream and covers the distance between two ports in 3 hours. It covers distance in 5 hours, when it goes upstream. If the stream flows at 3 km/h, then find what is the speed of the steamer upstream?

Which of the following is a variable?5,x,3.14,3x2x

Pls solve these question with steps =or &gt; or &lt; (-3)+7-(19) 15-8+(-9) 23-41+11 . 15-8+(-9) 39+(-24)-(15) . 36+(-52)-(-36) -231 +79+51 . -399+159+81 Pls solve with step

93+-33-63 = ?(a) 432(b) 270(c) 486(d) 540

Which of the following is a rational number between 4 and 4.5?

If ΔPQR≅ΔEDF, then is it true to say that PR=EF ? Give reason for your answer.

Choose the correct alternative in the following question:The number 4,70,394 in standard form is written as(a) 4.70394 × 105 (b) 4.70394 × 104 (c) 47.0394 × 104 (d) 4703.94 × 102

In the figure given below, angle A and angle B are _________.

Navendra was having a 200 square-meter of land in the backside of his house. He had certain issues with his neighbor so he decided to fence the land. He planned to divide the land in the ratio of 1:3. What will be the area of both the lands?

Find six rational number between 3 and 4.

Mark the correct alternative in each of the following:On subtracting −14 from −18, we get(a) 4 (b) −4 (c) −32 (d) −32

If B lies on line AC and points A, B and C are distinct such that, AB + BC = AC, then

If the X- axis represents various fruits purchased and the Y-axis represents sales(in kgs), then match the following.

The six elements of a triangle are its ‘a’ sides and ‘b’ angles. Find the value of a x b. ___

Darshan purchased 5 kg of apples out of which 14 were found rotten. If the remaining apples were divided among 4 people, including Darshan, then the fraction of apples that Darshan got equals __.

Which is the largest natural number?

Divide 2x3y−6x2y3+6x2y2 by 2x2y.

The number of cars manufactured by a company from 1980 to 1983 is as follows. Draw a pictorial graphYear No. of cars 1980 30,000 1981 20,000 1982 40,000 1983 50,000

Consider the following arithmetic operation(24)x+(17)x=(40)x.The least possible value of 'x' for which the above operation is valid is________11

A regular polygon is rotated about an angle of 600, the new object is symmetric about the original figure. The original figure could be

A manufacturing company finds that the daily cost of producing x items of a product is given by C(x)=210x+7000. If selling price is Rs. 385 per piece, then the breakeven point is [2 marks]

In the given figure. Find RP and PS using the information given in ∆PSR.

4. A bag contains 4 balls.One ball is drawn from the bag and found to be white.What is the probability that all balls in the bag were white?

Question 76Observe the given graph carefully and complete the table given below.x12345y

Give the quotient when (−8) is divided by (+4).

Question 89 (xiv) Factorise the following, using the identity, a2+2ab+b2=(a+b)2 a2x3+2abx2+b2x

Find five rational numbers between:14 and 12

Question 1 (iii)Find12513

Question 95Solve the following question:Write the Pythagorean triplet whose one of the numbers is 4.

All the following are criteria for measuring the congruency of triangles except the _____.

The equivalent fraction of 60% is.

In a grocery store, Pankaj bought apples for ₹32.27 and mangoes for ₹57.30. How much did Pankaj pay rounded off to the nearest integer?

A principal of ₹ 40,000 is deposited in a bank which offers a simple interest at a rate of 10% a year. What is the amount at the end of 2 years?

ABC is a right triangle right angled at B such that BC =8 cm and radius of circumcircle is 5 cm, then theradius of the incircle is

3100+510000=?(a) 0.35(b) 0.305(c) 0.0305(d) 0.035

Find the set of values of x for which the functions f(x) = 3x2 − 1 and g(x) = 3 + x are equal.

The line passing through the points (5,1,a) and (3,b,1) crosses the yz−plane at the point (0,172,−132), then which of the following statement(s) is/are correct ?

Question 66 Solve the following: 1-(x-2)-[(x-3)-(x-1)]=0

Solve the following.If the first, third and fourth terms of a proportion are 32, 112 and 217. Find the second term.

In the given table, the relation between x and y is, y =

If the regular price of a shirt bought by Amit at ₹ 750 is ₹ 1000, then the discount % on the shirt bought is 25

Find the range of values of x which satisfy −13≤ x2−43&lt; 16, where x ϵ real number.

How to construct a Equilateral Triangle with altitude of 3.2 cm?

The famous gemstone "kohinoor" weighs 563 carats. If one carat is equal to 200 mg then the weight of gemstone in grams is Options: 112.6 g , 11.26 g , 1.126 g , 1126 g

Pair the figures with their area.

What is class width?

Is the order of radius correct?Sr2+

(13) divided by (35) is ____.

Pls solve these question with steps =or > or < (-3)+7-(19) 15-8+(-9) 23-41+11 . 15-8+(-9) 39+(-24)-(15) . 36+(-52)-(-36) -231 +79+51 . -399+159+81 Pls solve with step

Find the range of values of x which satisfy −13≤ x2−43< 16, where x ϵ real number.