19743 + Interview Questions in Mathematics Page 65 InterviewSolution

3201.	Question 102(i)Using suitable rearrangement, find the sum.47+(−49)+37+(−139)
Answer» Question 102(i) Using suitable rearrangement, find the sum. $\frac{4}{7} + (\frac{- 4}{9}) + \frac{3}{7} + (\frac{- 13}{9})$

Discussion

3202.	Simplify and express the following in exponential form((72)4 ×78) ÷ (74)2
Answer» Simplify and express the following in exponential form $({(7^{2})}^{4} \times 7^{8}) \div {(7^{4})}^{2}$

Discussion

3203.	The length of a rectangular playground is 40 m and breadth is 15 m. Find the cost of fencing it at the rate of ₹ 5 per metre.
Answer» The length of a rectangular playground is $40 m$ and breadth is $15 m$ . Find the cost of fencing it at the rate of ₹ $5$ per metre.

Discussion

3204.	What is hypotenuse?
Answer» What is hypotenuse?

Discussion

3205.	The number of permutations of the characters in LILAC so that no character appears in its original position, if the two L's are indistinguishable, is ___12
Answer» The number of permutations of the characters in LILAC so that no character appears in its original position, if the two L's are indistinguishable, is ___ 12

Discussion

3206.	how to do the cross multiplication for three fractions?
Answer» how to do the cross multiplication for three fractions?

Discussion

3207.	When a transversal cuts two lines such that pairs of alternate interior angles are equal, then the lines are
Answer» When a transversal cuts two lines such that pairs of alternate interior angles are equal, then the lines are

Discussion

3208.	ifA has 3 and B has 6 elements then what is the minimum number of elements in A∪ B??
Answer» ifA has 3 and B has 6 elements then what is the minimum number of elements in A∪ B??

Discussion

3209.	In the given figure identify the pair of adjacent angles.
Answer» In the given figure identify the pair of adjacent angles.

Discussion

3210.	Which of the following is not a method for finding the HCF?
Answer» Which of the following is not a method for finding the HCF?

Discussion

3211.	What is 78 divided by 28 in its simplest form?
Answer» What is $\frac{7}{8}$ divided by $\frac{2}{8}$ in its simplest form?

Discussion

3212.	Solve the given equation : 5(2x−1)−3(6x−2)=5
Answer» Solve the given equation : $5 (2 x - 1) - 3 (6 x - 2) = 5$

Discussion

3213.	112 is represented as shown in the figure below.Find its equivalent fraction.
Answer» $\frac{1}{12} is represented as shown in the figure below.$ Find its equivalent fraction.

Discussion

3214.	A polynomial whose degree is not defined is .
Answer» A polynomial whose degree is not defined is .

Discussion

3215.	Convert 812, 34 and 45 to decimal form, and write them in descending order.
Answer» Convert $\frac{8}{12}$ , $\frac{3}{4}$ and $\frac{4}{5}$ to decimal form, and write them in descending order.

Discussion

3216.	For the reaction, aA+bB→cC+dD, the plot of logK vs 1/T is given below:The temperature at which the rate constant of the reaction is10−4 s−1 is ________ K. (Rounded off to the nearest integer)[Given: The rate constant of the reaction is 10−5 s−1 at 500 K.]
Answer» For the reaction, $a A + b B \to c C + d D,$ the plot of $log K$ vs $1 / T$ is given below: The temperature at which the rate constant of the reaction is $10^{- 4} s^{- 1}$ is ________ $K .$ (Rounded off to the nearest integer) [Given: The rate constant of the reaction is $10^{- 5} s^{- 1}$ at $500 K .]$

3216.

For the reaction, aA+bB→cC+dD, the plot of logK vs 1/T is given below:The temperature at which the rate constant of the reaction is10−4 s−1 is ________ K. (Rounded off to the nearest integer)[Given: The rate constant of the reaction is 10−5 s−1 at 500 K.]

Answer» For the reaction,

a A + b B \to c C + d D,

the plot of

log K

vs

1 / T

is given below:

The temperature at which the rate constant of the reaction is

$10^{- 4} s^{- 1}$ is ________ $K .$ (Rounded off to the nearest integer)

[Given: The rate constant of the reaction is $10^{- 5} s^{- 1}$ at $500 K .]$

Discussion

3217.	In a farm house, there are 30 chickens weighing less than 2 kg, 70 chickens weighing less than 4 kg and 90 chickens weighing less than 6 kg. Idendtify the correct histogram plot for the same.
Answer» In a farm house, there are $30$ chickens weighing less than $2$ kg, $70$ chickens weighing less than $4$ kg and $90$ chickens weighing less than $6$ kg. Idendtify the correct histogram plot for the same.

Discussion

3218.	28. How many Octahedral Voids are present in a BCC lattice ?
Answer» 28. How many Octahedral Voids are present in a BCC lattice ?

Discussion

3219.	Express 343 as a power of 7.
Answer» Express 343 as a power of 7.

Discussion

3220.	How many square tiles of side 18 cm will be required to pave the floor of a rectangular room 5.4 m × 4.8 m?
Answer» How many square tiles of side 18 cm will be required to pave the floor of a rectangular room 5.4 m $\times$ 4.8 m?

Discussion

3221.	Pick the correctly punctuated form of the sentence. their wedding anniversary was on 2 november 1981.
Answer» Pick the correctly punctuated form of the sentence. their wedding anniversary was on 2 november 1981.

3221.

Pick the correctly punctuated form of the sentence. their wedding anniversary was on 2 november 1981.

Answer»

Pick the correctly punctuated form of the sentence.

their wedding anniversary was on 2 november 1981.

Discussion

3222.	Question 102 Radha got Rs. 17480 as her monthly salary and over-time. Her salary exceeds the overtime by Rs. 10000. What is her monthly salary?
Answer» Question 102 Radha got Rs. 17480 as her monthly salary and over-time. Her salary exceeds the overtime by Rs. 10000. What is her monthly salary?

3222.

Question 102 Radha got Rs. 17480 as her monthly salary and over-time. Her salary exceeds the overtime by Rs. 10000. What is her monthly salary?

Answer»

Question 102

Radha got Rs. 17480 as her monthly salary and over-time. Her salary exceeds the overtime by Rs. 10000. What is her monthly salary?

Discussion

3223.	What should be subtracted from 3x2−4y2+5xy+20 to obtain −x2−y2+6xy+20?
Answer» What should be subtracted from $3 x^{2} - 4 y^{2} + 5 x y + 20$ to obtain $- x^{2} - y^{2} + 6 x y + 20$ ?

Discussion

3224.	A cement company earns a profit of Rs 8 per bag of white cement sold and a loss of Rs 5 per bag of grey cement sold.(a) The company sells 3, 000 bags of white cement and 5,000 bags of grey cement in a month. What is its profit or loss?(b) What is the number of white cement bags it must sell to have neither profit nor loss, if the number of grey bags sold is 6,400 bags.
Answer» A cement company earns a profit of Rs 8 per bag of white cement sold and a loss of Rs 5 per bag of grey cement sold. (a) The company sells 3, 000 bags of white cement and 5,000 bags of grey cement in a month. What is its profit or loss? (b) What is the number of white cement bags it must sell to have neither profit nor loss, if the number of grey bags sold is 6,400 bags.

3224.

A cement company earns a profit of Rs 8 per bag of white cement sold and a loss of Rs 5 per bag of grey cement sold.(a) The company sells 3, 000 bags of white cement and 5,000 bags of grey cement in a month. What is its profit or loss?(b) What is the number of white cement bags it must sell to have neither profit nor loss, if the number of grey bags sold is 6,400 bags.

Answer»

A cement company earns a profit of Rs 8 per bag of white cement sold and a loss of Rs 5 per bag of grey cement sold.

(a) The company sells 3, 000 bags of white cement and 5,000 bags of grey cement in a month. What is its profit or loss?

(b) What is the number of white cement bags it must sell to have neither profit nor loss, if the number of grey bags sold is 6,400 bags.

Discussion

3225.	32+488+12=?(a) 2(b) 2(c) 4(d) 8
Answer» $\frac{\sqrt{32} + \sqrt{48}}{\sqrt{8} + \sqrt{12}} = ?$ (a) $\sqrt{2}$ (b) 2 (c) 4 (d) 8

Discussion

3226.	If A = 67 and B = 76.Between A and B, which one is greater?
Answer» If A = $\frac{6}{7}$ and B = $\frac{7}{6}$ . Between A and B, which one is greater?

Discussion

3227.	Question 1x -2 =7
Answer» Question 1 x -2 =7

Discussion

3228.	What will be the sum of the numerical coefficients in the below expression: [2 MARKS] 4x2+12xy−5y2−11y
Answer» What will be the sum of the numerical coefficients in the below expression: [2 MARKS] $4 x^{2} + 12 x y - 5 y^{2} - 11 y$

Discussion

3229.	The value of 712·812 is(a) (28)1/2(b) (56)1/2(c) (14)1/2(d) (42)1/2
Answer» The value of $7^{\frac{1}{2}} \cdot 8^{\frac{1}{2}}$ is (a) (28)^1/2 (b) (56)^1/2 (c) (14)^1/2 (d) (42)^1/2

Discussion

3230.	The area (in sq. units) of the region {(x,y):0≤y≤x2+1, 0≤y≤x+1, 12≤x≤2} is:
Answer» The area (in sq. units) of the region ${(x, y) : 0 \leq y \leq x^{2} + 1, 0 \leq y \leq x + 1, \frac{1}{2} \leq x \leq 2}$ is:

Discussion

3231.	How to construct angle AOB = 80° with compass and ruler ?
Answer» How to construct angle AOB = 80° with compass and ruler ?

Discussion

3232.	is a line from a vertex of a triangle to the midpoint of its opposite side.
Answer» is a line from a vertex of a triangle to the midpoint of its opposite side.

Discussion

3233.	See the double bar graph and answer the question that follows. How many girls participated in crafts?
Answer» See the double bar graph and answer the question that follows. How many girls participated in crafts?

3233.

See the double bar graph and answer the question that follows. How many girls participated in crafts?

Answer»

See the double bar graph and answer the question that follows.

How many girls participated in crafts?

Discussion

3234.	A circle is inscribed in a square as shown. If the radius of the circle is 4 cm, what is the area of the remaining square? (Use π=227)
Answer» A circle is inscribed in a square as shown. If the radius of the circle is 4 cm, what is the area of the remaining square? (Use $π = \frac{22}{7}$ )

Discussion

3235.	The variable in the expression {9x +32} ÷ 9 is ___.
Answer» The variable in the expression {9 $x$ +32} $\div$ 9 is ___.

Discussion

3236.	7×103+4×10+1×10−1+8×10−3 is the expanded form of the number ____.
Answer» $7 \times 10^{3} + 4 \times 10 + 1 \times 10^{- 1} + 8 \times 10^{- 3}$ is the expanded form of the number ____.

Discussion

3237.	How much time will it take for ₹ 450 to yield an simple interest of ₹ 81 at 4.5% per annum?
Answer» How much time will it take for ₹ 450 to yield an simple interest of ₹ 81 at $4.5 %$ per annum?

Discussion

3238.	n(A× B× C) =6. Find max(n(A× B∩ B× A))
Answer» n(A× B× C) =6. Find max(n(A× B∩ B× A))

Discussion

3239.	Construct a triangle PQR, given that PQ = 5 cm and ∠QPR=60∘and ∠QRP=45∘.
Answer» Construct a triangle PQR, given that PQ = 5 cm and $∠ Q P R = 60^{\circ}$ and $∠ Q R P = 45^{\circ}$ .

Discussion

3240.	Multiple of a number the original number.
Answer» Multiple of a number the original number.

Discussion

3241.	Question 40 In the following question, fill in the blanks with correct symbol >, < or =. 0×(−56)= ___
Answer» Question 40 In the following question, fill in the blanks with correct symbol >, < or =. $0 \times (\frac{- 5}{6}) =$ ___

3241.

Question 40 In the following question, fill in the blanks with correct symbol >, < or =. 0×(−56)= ___

Answer»

Question 40

In the following question, fill in the blanks with correct symbol >, < or =.

$0 \times (\frac{- 5}{6}) =$ ___

Discussion

3242.	A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree.
Answer» A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree.

Discussion

3243.	Question 127 The product of two rational numbers is −1427. If one of the numbers be 79, find the other.
Answer» Question 127 The product of two rational numbers is $\frac{- 14}{27}$ . If one of the numbers be $\frac{7}{9}$ , find the other.

Discussion

3244.	Question 7 (b) State the number of lines of symmetry for the following figures: b) An isosceles triangle
Answer» Question 7 (b) State the number of lines of symmetry for the following figures: b) An isosceles triangle

Discussion

3245.	Outcome123456frequency222018161412 What is the probability of occurrence of 1 or 2 or 3 or 4 or 5 or 6?
Answer» $\begin{matrix} O u t c o m e & 1 & 2 & 3 & 4 & 5 & 6 f r e q u e n c y & 22 & 20 & 18 & 16 & 14 & 12 \end{matrix}$ What is the probability of occurrence of 1 or 2 or 3 or 4 or 5 or 6?

3245.

Outcome123456frequency222018161412 What is the probability of occurrence of 1 or 2 or 3 or 4 or 5 or 6?

Answer»

$\begin{matrix} O u t c o m e & 1 & 2 & 3 & 4 & 5 & 6 f r e q u e n c y & 22 & 20 & 18 & 16 & 14 & 12 \end{matrix}$

What is the probability of occurrence of 1 or 2 or 3 or 4 or 5 or 6?

Discussion

3246.	The Line Segment AB with a Point P on it is given in the figure as : If AP : AB = 4 : 11 and Length of Line Segment PB = 14 cm, find the Length of AP.
Answer» The Line Segment AB with a Point P on it is given in the figure as : If AP : AB = 4 : 11 and Length of Line Segment PB = 14 cm, find the Length of AP.

3246.

The Line Segment AB with a Point P on it is given in the figure as : If AP : AB = 4 : 11 and Length of Line Segment PB = 14 cm, find the Length of AP.

Answer»

The Line Segment AB with a Point P on it is given in the figure as :

If AP : AB = 4 : 11 and Length of Line Segment PB = 14 cm, find the Length of AP.

Discussion

3247.	Given that the perimeter of a polygon is 92m and its area is 529m2. Its adjacent sides are equal and perpendicular. Find the number of lines of symmetry. ___
Answer» Given that the perimeter of a polygon is 92m and its area is $529 m^{2}$ . Its adjacent sides are equal and perpendicular. Find the number of lines of symmetry. ___

Discussion

3248.	A father wants to divide ₹3,600 among his sons in the ratio of their ages. Their ages are 12 years and 15 years. Find their respective shares.
Answer» A father wants to divide ₹3,600 among his sons in the ratio of their ages. Their ages are 12 years and 15 years. Find their respective shares.

Discussion

3249.

In the following table, the information is given about the number of families and the siblings in the families less than 14 years of age. Find the mode of the data. No. of siblings 1 2 3 4 Families 15 25 5 5

Answer»

In the following table, the information is given about the number of families and the siblings in the families less than 14 years of age. Find the mode of the data.

No. of siblings	1	2	3	4
Families	15	25	5	5

Discussion

3250.	'एही ठैयाँ झुलनी हेरानी हो रामा! का प्रतीकार्थ समझाइए।
Answer» 'एही ठैयाँ झुलनी हेरानी हो रामा! का प्रतीकार्थ समझाइए।

Discussion

Explore topic-wise InterviewSolutions in .

Question 102(i)Using suitable rearrangement, find the sum.47+(−49)+37+(−139)

Simplify and express the following in exponential form((72)4 ×78) ÷ (74)2

The length of a rectangular playground is 40 m and breadth is 15 m. Find the cost of fencing it at the rate of ₹ 5 per metre.

What is hypotenuse?

The number of permutations of the characters in LILAC so that no character appears in its original position, if the two L's are indistinguishable, is ___12

how to do the cross multiplication for three fractions?

When a transversal cuts two lines such that pairs of alternate interior angles are equal, then the lines are

ifA has 3 and B has 6 elements then what is the minimum number of elements in A∪ B??

In the given figure identify the pair of adjacent angles.

Which of the following is not a method for finding the HCF?

What is 78 divided by 28 in its simplest form?

Solve the given equation : 5(2x−1)−3(6x−2)=5

112 is represented as shown in the figure below.Find its equivalent fraction.

A polynomial whose degree is not defined is .

Convert 812, 34 and 45 to decimal form, and write them in descending order.

For the reaction, aA+bB→cC+dD, the plot of logK vs 1/T is given below:The temperature at which the rate constant of the reaction is10−4 s−1 is ________ K. (Rounded off to the nearest integer)[Given: The rate constant of the reaction is 10−5 s−1 at 500 K.]

In a farm house, there are 30 chickens weighing less than 2 kg, 70 chickens weighing less than 4 kg and 90 chickens weighing less than 6 kg. Idendtify the correct histogram plot for the same.

28. How many Octahedral Voids are present in a BCC lattice ?

Express 343 as a power of 7.

How many square tiles of side 18 cm will be required to pave the floor of a rectangular room 5.4 m × 4.8 m?

Pick the correctly punctuated form of the sentence. their wedding anniversary was on 2 november 1981.

Question 102 Radha got Rs. 17480 as her monthly salary and over-time. Her salary exceeds the overtime by Rs. 10000. What is her monthly salary?

What should be subtracted from 3x2−4y2+5xy+20 to obtain −x2−y2+6xy+20?

32+488+12=?(a) 2(b) 2(c) 4(d) 8

If A = 67 and B = 76.Between A and B, which one is greater?

Question 1x -2 =7

What will be the sum of the numerical coefficients in the below expression: [2 MARKS] 4x2+12xy−5y2−11y

The value of 712·812 is(a) (28)1/2(b) (56)1/2(c) (14)1/2(d) (42)1/2

The area (in sq. units) of the region {(x,y):0≤y≤x2+1, 0≤y≤x+1, 12≤x≤2} is:

How to construct angle AOB = 80° with compass and ruler ?

is a line from a vertex of a triangle to the midpoint of its opposite side.

See the double bar graph and answer the question that follows. How many girls participated in crafts?

A circle is inscribed in a square as shown. If the radius of the circle is 4 cm, what is the area of the remaining square? (Use π=227)

The variable in the expression {9x +32} ÷ 9 is ___.

7×103+4×10+1×10−1+8×10−3 is the expanded form of the number ____.

How much time will it take for ₹ 450 to yield an simple interest of ₹ 81 at 4.5% per annum?

n(A× B× C) =6. Find max(n(A× B∩ B× A))

Construct a triangle PQR, given that PQ = 5 cm and ∠QPR=60∘and ∠QRP=45∘.

Multiple of a number the original number.

Question 40 In the following question, fill in the blanks with correct symbol &gt;, &lt; or =. 0×(−56)= ___

A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree.

Question 127 The product of two rational numbers is −1427. If one of the numbers be 79, find the other.

Question 7 (b) State the number of lines of symmetry for the following figures: b) An isosceles triangle

Outcome123456frequency222018161412 What is the probability of occurrence of 1 or 2 or 3 or 4 or 5 or 6?

The Line Segment AB with a Point P on it is given in the figure as : If AP : AB = 4 : 11 and Length of Line Segment PB = 14 cm, find the Length of AP.

Given that the perimeter of a polygon is 92m and its area is 529m2. Its adjacent sides are equal and perpendicular. Find the number of lines of symmetry. ___

A father wants to divide ₹3,600 among his sons in the ratio of their ages. Their ages are 12 years and 15 years. Find their respective shares.

In the following table, the information is given about the number of families and the siblings in the families less than 14 years of age. Find the mode of the data. No. of siblings 1 2 3 4 Families 15 25 5 5

'एही ठैयाँ झुलनी हेरानी हो रामा! का प्रतीकार्थ समझाइए।

Question 40 In the following question, fill in the blanks with correct symbol >, < or =. 0×(−56)= ___