19743 + Interview Questions in Mathematics Page 222 InterviewSolution

11051.	Factorizei.) 5p2−25p+20ii.) x2+11x+28
Answer» Factorize i.) $5 p^{2} - 25 p + 20$ ii.) $x^{2} + 11 x + 28$

Discussion

11052.	How many different rectangles can be made using above sets of squares?Note- (a×b and b×a counted one)
Answer» How many different rectangles can be made using above sets of squares? Note- $(a \times b$ and $b \times a$ counted one)

Discussion

11053.	On the number line, the value of (−3)×3 lies on right hand side of (a) -10(b) -4(c) 0(d) 9
Answer» On the number line, the value of $(- 3) \times 3$ lies on right hand side of (a) -10 (b) -4 (c) 0 (d) 9

11053.

On the number line, the value of (−3)×3 lies on right hand side of (a) -10(b) -4(c) 0(d) 9

Answer»

On the number line, the value of $(- 3) \times 3$ lies on right hand side of

(a) -10

(b) -4

(c) 0

(d) 9

Discussion

11054.	In figure, AD = DC and AB = BC(a) Is ΔABD≅ΔCBD?(b) State the three parts of matching pairs you have used to answer (a).
Answer» In figure, AD = DC and AB = BC (a) Is $Δ A B D ≅ Δ C B D ?$ (b) State the three parts of matching pairs you have used to answer (a).

Discussion

11055.	Which of the following images represents an integer number line perfectly?
Answer» Which of the following images represents an integer number line perfectly?

Discussion

11056.	(−412−312) = ____
Answer» $(- 4 \frac{1}{2} - 3 \frac{1}{2})$ = ____

Discussion

11057.	Find the side length of an equilateral triangle whose perimeter is 9 cm.
Answer» Find the side length of an equilateral triangle whose perimeter is 9 cm.

Discussion

11058.	Select the option which represents the portion of the colored part as 25%.
Answer» Select the option which represents the portion of the colored part as $25 % .$

Discussion

11059.	In class of 40 pupils the number of girls is three-fifths of the number of boys. Find the number of boys in the class.
Answer» In class of 40 pupils the number of girls is three-fifths of the number of boys. Find the number of boys in the class.

Discussion

11060.	If the ratio of complement of x and supplement of y is 1:2, then the ratio of x and y is what?
Answer» If the ratio of complement of x and supplement of y is 1:2, then the ratio of x and y is what?

Discussion

11061.	−44÷11= _____-4
Answer» $- 44 \div 11 =$ _____ -4

Discussion

11062.	5 hours and 15 minutes is equivalent to :
Answer» 5 hours and 15 minutes is equivalent to :

Discussion

11063.	10. find the value of a and b , 3-1 divided by 3+1=a+b3
Answer» 10. find the value of a and b , 3-1 divided by 3+1=a+b3

Discussion

11064.	5. In a rectangle ABCD, point X and Y are the midpoints of AD and DC respectively. line BX and CD when extended intersect at E, lines BY and AD, when extended intersect at F. if the area of ABCD is 60 Sq unit then the area of BEF is:
Answer» 5. In a rectangle ABCD, point X and Y are the midpoints of AD and DC respectively. line BX and CD when extended intersect at E, lines BY and AD, when extended intersect at F. if the area of ABCD is 60 Sq unit then the area of BEF is:

Discussion

11065.	Question 73(v) The bar graph given below shows the marks of students of a class in a particular subject: Study the bar graph and answer the following questions : What is the strength of the class?
Answer» Question 73(v) The bar graph given below shows the marks of students of a class in a particular subject: Study the bar graph and answer the following questions : What is the strength of the class?

Discussion

11066.	Which of the following is the additive inverse of −56?
Answer» Which of the following is the additive inverse of $\frac{- 5}{6}$ ?

Discussion

11067.	Sum of the exterior angles of a triangle is ___ .
Answer» Sum of the exterior angles of a triangle is ___ .

Discussion

11068.	Question 99 What percent of ₹ 80 is₹ 100?
Answer» Question 99 What percent of ₹ 80 is₹ 100?

11068.

Question 99 What percent of ₹ 80 is₹ 100?

Answer»

Question 99

What percent of ₹ 80 is₹ 100?

Discussion

11069.	Find theproduct:(i) (ii) (iii) (iv) (v) (vi)
Answer» Find the product: (i) (ii) (iii) (iv) (v) (vi)

11069.

Find theproduct:(i) (ii) (iii) (iv) (v) (vi)

Answer»

Find the
product:

(i) (ii) (iii)

(iv) (v) (vi)

Discussion

11070.	−13+(−69)+57−(−89)−(53+(−49))=
Answer» $- 13 + (- 69) + 57 - (- 89) - (53 + (- 49)) =$

Discussion

11071.	In the figure below, lines AB and CD intersect at O. If ∠AOC+∠BOE=70∘ and ∠BOD=40∘, find (2∠BOE).
Answer» In the figure below, lines AB and CD intersect at O. If $∠ A O C + ∠ B O E = 70^{\circ}$ and $∠ B O D = 40^{\circ}$ , find $(2 ∠ B O E)$ .

11071.

In the figure below, lines AB and CD intersect at O. If ∠AOC+∠BOE=70∘ and ∠BOD=40∘, find (2∠BOE).

Answer»

In the figure below, lines AB and CD intersect at O. If

$∠ A O C + ∠ B O E = 70^{\circ}$ and

$∠ B O D = 40^{\circ}$ ,

find $(2 ∠ B O E)$ .

Discussion

11072.	Solve: ( x-1)(x+8)(x-5)0
Answer» Solve: ( x-1)(x+8)(x-5)0

Discussion

11073.	5ab3 + 22abc + 10bc is a ____________.
Answer» $5 a b^{3} + 22 a b c + 10 b c$ is a ____________.

Discussion

11074.	Match the following with their respective formula.
Answer» Match the following with their respective formula.

Discussion

11075.	Set up an equation and solve it to find the unknown number:3 is added to three-fourth of a number to get 21.
Answer» Set up an equation and solve it to find the unknown number: 3 is added to three-fourth of a number to get 21.

Discussion

11076.	Check if the given expression is polynomial or not.(1) 1x+x2(2) 2x2−3√x+1(3) x3+5
Answer» Check if the given expression is polynomial or not. (1) $\frac{1}{x} + x^{2}$ (2) $2 x^{2} - 3 \sqrt{x} + 1$ (3) $\frac{x}{3} + 5$

Discussion

11077.	(क) पहले छंद में कवि की दृष्टि आदमी के किन-किन रूपों का बख़ान करती है? क्रम से लिखिए। (ख) चारों छंदों में कवि ने आदमी के सकारात्मक और नकारात्मक रूपों को परस्पर किन-किन रूपों में रखा है? अपने शब्दों में स्पष्ट कीजिए। (ग) 'आदमी नामा' शीर्षक कविता के इन अंशो को पढ़कर आपके मन में मनुष्य के प्रति क्या धारणा बनती है? (घ) इस कविता का कौन-सा भाग आपको सबसे अच्छा लगा और क्यों? (ङ) आदमी की प्रवृतियों का उल्लेख कीजिए।
Answer» (क) पहले छंद में कवि की दृष्टि आदमी के किन-किन रूपों का बख़ान करती है? क्रम से लिखिए। (ख) चारों छंदों में कवि ने आदमी के सकारात्मक और नकारात्मक रूपों को परस्पर किन-किन रूपों में रखा है? अपने शब्दों में स्पष्ट कीजिए। (ग) 'आदमी नामा' शीर्षक कविता के इन अंशो को पढ़कर आपके मन में मनुष्य के प्रति क्या धारणा बनती है? (घ) इस कविता का कौन-सा भाग आपको सबसे अच्छा लगा और क्यों? (ङ) आदमी की प्रवृतियों का उल्लेख कीजिए।

11077.

(क) पहले छंद में कवि की दृष्टि आदमी के किन-किन रूपों का बख़ान करती है? क्रम से लिखिए। (ख) चारों छंदों में कवि ने आदमी के सकारात्मक और नकारात्मक रूपों को परस्पर किन-किन रूपों में रखा है? अपने शब्दों में स्पष्ट कीजिए। (ग) 'आदमी नामा' शीर्षक कविता के इन अंशो को पढ़कर आपके मन में मनुष्य के प्रति क्या धारणा बनती है? (घ) इस कविता का कौन-सा भाग आपको सबसे अच्छा लगा और क्यों? (ङ) आदमी की प्रवृतियों का उल्लेख कीजिए।

Answer»

(क)
पहले
छंद में कवि की
दृष्टि आदमी
के किन-किन
रूपों का बख़ान
करती है?
क्रम
से लिखिए।

(ख)
चारों
छंदों में कवि
ने आदमी के सकारात्मक
और नकारात्मक
रूपों को परस्पर
किन-किन
रूपों में रखा
है? अपने
शब्दों में
स्पष्ट कीजिए।

(ग)
'आदमी
नामा'
शीर्षक
कविता के इन
अंशो को पढ़कर
आपके मन में
मनुष्य के प्रति
क्या धारणा बनती
है?

(घ)
इस
कविता का कौन-सा
भाग आपको सबसे
अच्छा लगा और
क्यों?

(ङ)
आदमी
की प्रवृतियों
का उल्लेख कीजिए।

Discussion

11078.	Question 118 (i) Language Application Given below are few mathematical terms. Find The ratio of consonants to vowels in each of the terms.
Answer» Question 118 (i) Language Application Given below are few mathematical terms. Find The ratio of consonants to vowels in each of the terms.

11078.

Question 118 (i) Language Application Given below are few mathematical terms. Find The ratio of consonants to vowels in each of the terms.

Answer»

Question 118 (i)

Language Application
Given below are few mathematical terms.
Find
The ratio of consonants to vowels in each of the terms.

Discussion

11079.	Fill in the blank boxes with the values that describe the multiplication on the number line as shown in the given figure.
Answer» Fill in the blank boxes with the values that describe the multiplication on the number line as shown in the given figure.

Discussion

11080.	Question 67 (b) Find the value of the given polynomial at m = 1, n = -1 and p = 2 m2+n2+p2
Answer» Question 67 (b) Find the value of the given polynomial at m = 1, n = -1 and p = 2 $m^{2} + n^{2} + p^{2}$

11080.

Question 67 (b) Find the value of the given polynomial at m = 1, n = -1 and p = 2 m2+n2+p2

Answer»

Question 67 (b)

Find the value of the given polynomial at m = 1, n = -1 and p = 2

$m^{2} + n^{2} + p^{2}$

Discussion

11081.	The ratio of the radii of two circles is 3 : 2. What is the ratio their circumference?
Answer» The ratio of the radii of two circles is 3 : 2. What is the ratio their circumference?

Discussion

11082.	20.A fraction becomes 1/4 when 2 is subtracted from the numerator and 3 is added to denominator . Represent this solution as a linear equation in 2 variables
Answer» 20.A fraction becomes 1/4 when 2 is subtracted from the numerator and 3 is added to denominator . Represent this solution as a linear equation in 2 variables

Discussion

11083.	Increase 95 in the ratio 5:8
Answer» Increase $95$ in the ratio $5 : 8$

Discussion

11084.	Question 2(b) : Solve: 815+315
Answer» Question 2(b) : Solve: $\frac{8}{15} + \frac{3}{15}$

11084.

Question 2(b) : Solve: 815+315

Answer»

Question 2(b) :

Solve:

$\frac{8}{15} + \frac{3}{15}$

Discussion

11085.	To find the time to travel a distance.What is the time taken to travel a distance of 120 km at a speed of 50 km/hr.
Answer» To find the time to travel a distance. What is the time taken to travel a distance of 120 km at a speed of 50 km/hr.

11085.

To find the time to travel a distance.What is the time taken to travel a distance of 120 km at a speed of 50 km/hr.

Answer»

To find the time to travel a distance.

What is the time taken to travel a distance of 120 km at a speed of 50 km/hr.

Discussion

11086.	Fill in the blanks Question 24 When a die is thrown, the probability of getting a number less than 7, is ___
Answer» Fill in the blanks Question 24 When a die is thrown, the probability of getting a number less than 7, is ___

Discussion

11087.	A man can row 8 kmph in still water. If the river us running at 2 kmph, it takes him 48 minutes to row to a place and back. How far is the place
Answer» A man can row 8 kmph in still water. If the river us running at 2 kmph, it takes him 48 minutes to row to a place and back. How far is the place

Discussion

11088.	In the ratio 60 : 30, which is the consequent?
Answer» In the ratio 60 : 30, which is the consequent?

Discussion

11089.	In the figure given below, the lengths of the sides of the triangles are indicated. By using SSS congruence rule, state which pairs of triangles are congruent. In the case of congruent triangles, write the result in symbolic form
Answer» In the figure given below, the lengths of the sides of the triangles are indicated. By using SSS congruence rule, state which pairs of triangles are congruent. In the case of congruent triangles, write the result in symbolic form

Discussion

11090.	Rachel ate 13 of a cake. The portion of the cake left is
Answer» Rachel ate $\frac{1}{3}$ of a cake. The portion of the cake left is

Discussion

11091.	find period function y= sin ki power 4x step by step
Answer» find period function y= sin ki power 4x step by step

Discussion

11092.	Find out the wrong number in the series given below :15,18,20,29,45,70,106
Answer» Find out the wrong number in the series given below : $15, 18, 20, 29, 45, 70, 106$

Discussion

11093.	ntFind the square root of the followingn nt10+26+60+210n
Answer» ntFind the square root of the followingn nt10+26+60+210n

Discussion

11094.	A pack of 2 kg of sugar contains 8×106 crystals and a sack contains 3 packs of sugar. In 12 sacks, what will be the number of sugar crystals present?
Answer» A pack of 2 kg of sugar contains $8 \times 10^{6}$ crystals and a sack contains 3 packs of sugar. In 12 sacks, what will be the number of sugar crystals present?

Discussion

11095.	12% as a fraction is(a) 325(b) 425(c) 320(d) 625
Answer» 12% as a fraction is (a) $\frac{3}{25}$ (b) $\frac{4}{25}$ (c) $\frac{3}{20}$ (d) $\frac{6}{25}$

Discussion

11096.	The given figure shows a circle and a coloured quadrant which is cut out from the circle : If the radius of the circle is 7 cm , then what is the ratio between the perimeter of the full circle and the perimeter of the quadrant of the circle. (Perimeter = 2πr)
Answer» The given figure shows a circle and a coloured quadrant which is cut out from the circle : If the radius of the circle is 7 cm , then what is the ratio between the perimeter of the full circle and the perimeter of the quadrant of the circle. (Perimeter = 2 $π$ r)

11096.

The given figure shows a circle and a coloured quadrant which is cut out from the circle : If the radius of the circle is 7 cm , then what is the ratio between the perimeter of the full circle and the perimeter of the quadrant of the circle. (Perimeter = 2πr)

Answer»

The given figure shows a circle and a coloured quadrant which is cut out from the circle :

If the radius of the circle is 7 cm , then what is the ratio between the perimeter of the full circle and the perimeter of the quadrant of the circle. (Perimeter = 2 $π$ r)

Discussion

11097.	How manytimes a wheel of radius 28 cm must rotate to go 352 m? (Take π)
Answer» How many times a wheel of radius 28 cm must rotate to go 352 m? (Take π )

11097.

How manytimes a wheel of radius 28 cm must rotate to go 352 m? (Take π)

Answer»

How many
times a wheel of radius 28 cm must rotate to go 352 m?

(Take π

)

Discussion

11098.	In the figure ∠PSQ=90∘,PQ = 10 cm, QS = 6 cm & RQ = 9 cm.Calculate the length of PR (in cm).
Answer» In the figure $∠ P S Q = 90^{\circ},$ PQ = 10 cm, QS = 6 cm & RQ = 9 cm. Calculate the length of PR (in cm).

Discussion

11099.	0.2 x 0.3 is _______.
Answer» 0.2 x 0.3 is _______.

Discussion

11100.	Outcome2356Frequency10141620 A die was thrown 80 times and the frequency of occurrence of 2, 3, 5 and 6 is given in the table. What is the probability of occurrence of 1 or 4?
Answer» $\begin{matrix} O u t c o m e & 2 & 3 & 5 & 6 F r e q u e n c y & 10 & 14 & 16 & 20 \end{matrix}$ A die was thrown 80 times and the frequency of occurrence of 2, 3, 5 and 6 is given in the table. What is the probability of occurrence of 1 or 4?

11100.

Outcome2356Frequency10141620 A die was thrown 80 times and the frequency of occurrence of 2, 3, 5 and 6 is given in the table. What is the probability of occurrence of 1 or 4?

Answer»

$\begin{matrix} O u t c o m e & 2 & 3 & 5 & 6 F r e q u e n c y & 10 & 14 & 16 & 20 \end{matrix}$

A die was thrown 80 times and the frequency of occurrence of 2, 3, 5 and 6 is given in the table. What is the probability of occurrence of 1 or 4?

Discussion

Explore topic-wise InterviewSolutions in .

Factorizei.) 5p2−25p+20ii.) x2+11x+28

How many different rectangles can be made using above sets of squares?Note- (a×b and b×a counted one)

On the number line, the value of (−3)×3 lies on right hand side of (a) -10(b) -4(c) 0(d) 9

In figure, AD = DC and AB = BC(a) Is ΔABD≅ΔCBD?(b) State the three parts of matching pairs you have used to answer (a).

Which of the following images represents an integer number line perfectly?

(−412−312) = ____

Find the side length of an equilateral triangle whose perimeter is 9 cm.

Select the option which represents the portion of the colored part as 25%.

In class of 40 pupils the number of girls is three-fifths of the number of boys. Find the number of boys in the class.

If the ratio of complement of x and supplement of y is 1:2, then the ratio of x and y is what?

−44÷11= _____-4

5 hours and 15 minutes is equivalent to :

10. find the value of a and b , 3-1 divided by 3+1=a+b3

5. In a rectangle ABCD, point X and Y are the midpoints of AD and DC respectively. line BX and CD when extended intersect at E, lines BY and AD, when extended intersect at F. if the area of ABCD is 60 Sq unit then the area of BEF is:

Question 73(v) The bar graph given below shows the marks of students of a class in a particular subject: Study the bar graph and answer the following questions : What is the strength of the class?

Which of the following is the additive inverse of −56?

Sum of the exterior angles of a triangle is ___ .

Question 99 What percent of ₹ 80 is₹ 100?

Find theproduct:(i) (ii) (iii) (iv) (v) (vi)

−13+(−69)+57−(−89)−(53+(−49))=

In the figure below, lines AB and CD intersect at O. If ∠AOC+∠BOE=70∘ and ∠BOD=40∘, find (2∠BOE).

Solve: ( x-1)(x+8)(x-5)0

5ab3 + 22abc + 10bc is a ____________.

Match the following with their respective formula.

Set up an equation and solve it to find the unknown number:3 is added to three-fourth of a number to get 21.

Check if the given expression is polynomial or not.(1) 1x+x2(2) 2x2−3√x+1(3) x3+5

Question 118 (i) Language Application Given below are few mathematical terms. Find The ratio of consonants to vowels in each of the terms.

Fill in the blank boxes with the values that describe the multiplication on the number line as shown in the given figure.

Question 67 (b) Find the value of the given polynomial at m = 1, n = -1 and p = 2 m2+n2+p2

The ratio of the radii of two circles is 3 : 2. What is the ratio their circumference?

20.A fraction becomes 1/4 when 2 is subtracted from the numerator and 3 is added to denominator . Represent this solution as a linear equation in 2 variables

Increase 95 in the ratio 5:8

Question 2(b) : Solve: 815+315

To find the time to travel a distance.What is the time taken to travel a distance of 120 km at a speed of 50 km/hr.

Fill in the blanks Question 24 When a die is thrown, the probability of getting a number less than 7, is ___

A man can row 8 kmph in still water. If the river us running at 2 kmph, it takes him 48 minutes to row to a place and back. How far is the place

In the ratio 60 : 30, which is the consequent?

In the figure given below, the lengths of the sides of the triangles are indicated. By using SSS congruence rule, state which pairs of triangles are congruent. In the case of congruent triangles, write the result in symbolic form

Rachel ate 13 of a cake. The portion of the cake left is

find period function y= sin ki power 4x step by step

Find out the wrong number in the series given below :15,18,20,29,45,70,106

ntFind the square root of the followingn nt10+26+60+210n

A pack of 2 kg of sugar contains 8×106 crystals and a sack contains 3 packs of sugar. In 12 sacks, what will be the number of sugar crystals present?

12% as a fraction is(a) 325(b) 425(c) 320(d) 625

The given figure shows a circle and a coloured quadrant which is cut out from the circle : If the radius of the circle is 7 cm , then what is the ratio between the perimeter of the full circle and the perimeter of the quadrant of the circle. (Perimeter = 2πr)

How manytimes a wheel of radius 28 cm must rotate to go 352 m? (Take π)

In the figure ∠PSQ=90∘,PQ = 10 cm, QS = 6 cm &amp; RQ = 9 cm.Calculate the length of PR (in cm).

0.2 x 0.3 is _______.

Outcome2356Frequency10141620 A die was thrown 80 times and the frequency of occurrence of 2, 3, 5 and 6 is given in the table. What is the probability of occurrence of 1 or 4?

In the figure ∠PSQ=90∘,PQ = 10 cm, QS = 6 cm & RQ = 9 cm.Calculate the length of PR (in cm).